diff --git a/mlp/optimisers.py b/mlp/optimisers.py
index 0c2001c..4d00c25 100644
--- a/mlp/optimisers.py
+++ b/mlp/optimisers.py
@@ -124,7 +124,8 @@ class Optimiser(object):
recorded to their column index in the array and the final value
being the total time elapsed in seconds during the training run.
"""
- run_stats = [self.get_epoch_stats().values()]
+ stats = self.get_epoch_stats()
+ run_stats = [stats.values()]
run_start_time = time.time()
for epoch in range(1, num_epochs + 1):
for scheduler in self.schedulers:
diff --git a/notebooks/03_Multiple_layer_models.ipynb b/notebooks/03_Multiple_layer_models.ipynb
index 151074b..5c196e8 100644
--- a/notebooks/03_Multiple_layer_models.ipynb
+++ b/notebooks/03_Multiple_layer_models.ipynb
@@ -184,7 +184,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 1,
"metadata": {
"collapsed": false
},
@@ -227,7 +227,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 2,
"metadata": {
"collapsed": true
},
@@ -246,7 +246,7 @@
"\n",
" # Run the optimiser for 5 epochs (full passes through the training set)\n",
" # printing statistics every epoch.\n",
- " stats, keys = optimiser.train(num_epochs=num_epochs, stats_interval=stats_interval)\n",
+ " stats, keys, run_time = optimiser.train(num_epochs=num_epochs, stats_interval=stats_interval)\n",
"\n",
" # Plot the change in the validation and training set error over training.\n",
" fig_1 = plt.figure(figsize=(8, 4))\n",
@@ -266,7 +266,7 @@
" ax_2.legend(loc=0)\n",
" ax_2.set_xlabel('Epoch number')\n",
" \n",
- " return stats, keys, fig_1, ax_1, fig_2, ax_2"
+ " return stats, keys, run_time, fig_1, ax_1, fig_2, ax_2"
]
},
{
@@ -278,13 +278,217 @@
"You should try running the code for various settings of the training hyperparameters defined at the beginning of the cell to get a feel for how these affect how training proceeds. You may wish to create multiple copies of the cell below to allow you to keep track of and compare the results across different hyperparameter settings."
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Varying initialisation scale\n",
+ "\n",
+ "First try a few different parameter initialisation scales"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### `init_scale = 0.01`"
+ ]
+ },
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 3,
"metadata": {
- "collapsed": false
+ "collapsed": false,
+ "scrolled": true
},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "Epoch 5: 0.22s to complete\n",
+ " error(train)=3.10e-01, acc(train)=9.14e-01, error(valid)=2.91e-01, acc(valid)=9.18e-01\n",
+ "Epoch 10: 0.22s to complete\n",
+ " error(train)=2.88e-01, acc(train)=9.20e-01, error(valid)=2.76e-01, acc(valid)=9.23e-01\n",
+ "Epoch 15: 0.23s to complete\n",
+ " error(train)=2.78e-01, acc(train)=9.23e-01, error(valid)=2.69e-01, acc(valid)=9.24e-01\n",
+ "Epoch 20: 0.21s to complete\n",
+ " error(train)=2.71e-01, acc(train)=9.25e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n",
+ "Epoch 25: 0.22s to complete\n",
+ " error(train)=2.68e-01, acc(train)=9.25e-01, error(valid)=2.65e-01, acc(valid)=9.26e-01\n",
+ "Epoch 30: 0.22s to complete\n",
+ " error(train)=2.63e-01, acc(train)=9.27e-01, error(valid)=2.62e-01, acc(valid)=9.26e-01\n",
+ "Epoch 35: 0.22s to complete\n",
+ " error(train)=2.60e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n",
+ "Epoch 40: 0.21s to complete\n",
+ " error(train)=2.59e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.29e-01\n",
+ "Epoch 45: 0.22s to complete\n",
+ " error(train)=2.55e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n",
+ "Epoch 50: 0.21s to complete\n",
+ " error(train)=2.54e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n",
+ "Epoch 55: 0.22s to complete\n",
+ " error(train)=2.52e-01, acc(train)=9.30e-01, error(valid)=2.58e-01, acc(valid)=9.29e-01\n",
+ "Epoch 60: 0.22s to complete\n",
+ " error(train)=2.52e-01, acc(train)=9.30e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n",
+ "Epoch 65: 0.22s to complete\n",
+ " error(train)=2.50e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 70: 0.21s to complete\n",
+ " error(train)=2.49e-01, acc(train)=9.31e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n",
+ "Epoch 75: 0.22s to complete\n",
+ " error(train)=2.47e-01, acc(train)=9.31e-01, error(valid)=2.57e-01, acc(valid)=9.30e-01\n",
+ "Epoch 80: 0.21s to complete\n",
+ " error(train)=2.46e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.31e-01\n",
+ "Epoch 85: 0.21s to complete\n",
+ " error(train)=2.45e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 90: 0.21s to complete\n",
+ " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.57e-01, acc(valid)=9.29e-01\n",
+ "Epoch 95: 0.22s to complete\n",
+ " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.29e-01\n",
+ "Epoch 100: 0.21s to complete\n",
+ " error(train)=2.43e-01, acc(train)=9.33e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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EREREitakadLS0lJIkgQPDw+T6x4eHsjNzb3pvbNnz0ZJSQkkSUJCQgJiY2ObHq0Nk9cu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\n9OjRXH311QwdOjSs3gsvvMAbb7xBY2MjY8aMYc6cOQwePLifWi29Zfn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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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kkUdOG36FEBc2VeFALV+IWv4FuJxol/4G7Zqb0ZJTTn+wOCmlFDaX1zeSWxNw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\nq9Wq8PBwSeef6JCUlNTs/aakpDT4BS1dulT33nvvFfcP7zZ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HBysgIED+/v4KDAzU4cOH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\nbgAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Set training run hyperparameters\n",
+ "batch_size = 100 # number of data points in a batch\n",
+ "init_scale = 0.01 # scale for random parameter initialisation\n",
+ "learning_rate = 0.1 # learning rate for gradient descent\n",
+ "num_epochs = 100 # number of training epochs to perform\n",
+ "stats_interval = 5 # epoch interval between recording and printing stats\n",
+ "\n",
+ "# Reset random number generator and data provider states on each run\n",
+ "# to ensure reproducibility of results\n",
+ "rng.seed(seed)\n",
+ "train_data.reset()\n",
+ "valid_data.reset()\n",
+ "\n",
+ "# Alter data-provider batch size\n",
+ "train_data.batch_size = batch_size \n",
+ "valid_data.batch_size = batch_size\n",
+ "\n",
+ "# Create a parameter initialiser which will sample random uniform values\n",
+ "# from [-init_scale, init_scale]\n",
+ "param_init = UniformInit(-init_scale, init_scale, rng=rng)\n",
+ "\n",
+ "# Create affine + softmax model\n",
+ "model = MultipleLayerModel([\n",
+ " AffineLayer(input_dim, output_dim, param_init, param_init),\n",
+ " SoftmaxLayer()\n",
+ "])\n",
+ "\n",
+ "# Initialise a cross entropy error object\n",
+ "error = CrossEntropyError()\n",
+ "\n",
+ "# Use a basic gradient descent learning rule\n",
+ "learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n",
+ "\n",
+ "_ = train_model_and_plot_stats(\n",
+ " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### `init_scale = 0.1`"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "Epoch 5: 0.21s to complete\n",
+ " error(train)=3.11e-01, acc(train)=9.13e-01, error(valid)=2.92e-01, acc(valid)=9.18e-01\n",
+ "Epoch 10: 0.22s to complete\n",
+ " error(train)=2.89e-01, acc(train)=9.20e-01, error(valid)=2.77e-01, acc(valid)=9.23e-01\n",
+ "Epoch 15: 0.22s to complete\n",
+ " error(train)=2.79e-01, acc(train)=9.22e-01, error(valid)=2.70e-01, acc(valid)=9.24e-01\n",
+ "Epoch 20: 0.22s to complete\n",
+ " error(train)=2.72e-01, acc(train)=9.24e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n",
+ "Epoch 25: 0.22s to complete\n",
+ " error(train)=2.68e-01, acc(train)=9.25e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n",
+ "Epoch 30: 0.22s to complete\n",
+ " error(train)=2.63e-01, acc(train)=9.27e-01, error(valid)=2.62e-01, acc(valid)=9.26e-01\n",
+ "Epoch 35: 0.22s to complete\n",
+ " error(train)=2.60e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n",
+ "Epoch 40: 0.22s to complete\n",
+ " error(train)=2.59e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n",
+ "Epoch 45: 0.22s to complete\n",
+ " error(train)=2.55e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n",
+ "Epoch 50: 0.21s to complete\n",
+ " error(train)=2.54e-01, acc(train)=9.30e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n",
+ "Epoch 55: 0.22s to complete\n",
+ " error(train)=2.52e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n",
+ "Epoch 60: 0.22s to complete\n",
+ " error(train)=2.52e-01, acc(train)=9.29e-01, error(valid)=2.60e-01, acc(valid)=9.29e-01\n",
+ "Epoch 65: 0.22s to complete\n",
+ " error(train)=2.50e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 70: 0.22s to complete\n",
+ " error(train)=2.49e-01, acc(train)=9.31e-01, error(valid)=2.59e-01, acc(valid)=9.31e-01\n",
+ "Epoch 75: 0.22s to complete\n",
+ " error(train)=2.47e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 80: 0.21s to complete\n",
+ " error(train)=2.46e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.31e-01\n",
+ "Epoch 85: 0.22s to complete\n",
+ " error(train)=2.45e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.31e-01\n",
+ "Epoch 90: 0.23s to complete\n",
+ " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 95: 0.21s to complete\n",
+ " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 100: 0.22s to complete\n",
+ " error(train)=2.43e-01, acc(train)=9.33e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n"
+ ]
+ },
+ {
+ "data": {
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pVoOKW7PZjNzcXERFRVmOCSEQFRWFo0eP1quPkydP4tixY+jSpUvDIrVzooUnENULyp5t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\nnyc9XHLJJTQ0NLB48eLgTRxmz54dnEPr8Xg4cuRIsP7q1asJBAIsXLi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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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llztYf8TG2iM2TpQ7aKnU4ms2EOVvItLfTKSfmUh/M1H+ZiJrtvlbpDe+MZnN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\nRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"# Set training run hyperparameters\n",
"batch_size = 100 # number of data points in a batch\n",
@@ -323,6 +527,646 @@
" model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### `init_scale = 0.5`"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "Epoch 5: 0.22s to complete\n",
+ " error(train)=3.38e-01, acc(train)=9.03e-01, error(valid)=3.17e-01, acc(valid)=9.11e-01\n",
+ "Epoch 10: 0.21s to complete\n",
+ " error(train)=3.06e-01, acc(train)=9.13e-01, error(valid)=2.94e-01, acc(valid)=9.17e-01\n",
+ "Epoch 15: 0.22s to complete\n",
+ " error(train)=2.92e-01, acc(train)=9.17e-01, error(valid)=2.83e-01, acc(valid)=9.20e-01\n",
+ "Epoch 20: 0.22s to complete\n",
+ " error(train)=2.82e-01, acc(train)=9.20e-01, error(valid)=2.77e-01, acc(valid)=9.22e-01\n",
+ "Epoch 25: 0.21s to complete\n",
+ " error(train)=2.77e-01, acc(train)=9.22e-01, error(valid)=2.75e-01, acc(valid)=9.22e-01\n",
+ "Epoch 30: 0.22s to complete\n",
+ " error(train)=2.71e-01, acc(train)=9.24e-01, error(valid)=2.71e-01, acc(valid)=9.25e-01\n",
+ "Epoch 35: 0.22s to complete\n",
+ " error(train)=2.67e-01, acc(train)=9.25e-01, error(valid)=2.69e-01, acc(valid)=9.26e-01\n",
+ "Epoch 40: 0.21s to complete\n",
+ " error(train)=2.65e-01, acc(train)=9.27e-01, error(valid)=2.68e-01, acc(valid)=9.26e-01\n",
+ "Epoch 45: 0.22s to complete\n",
+ " error(train)=2.61e-01, acc(train)=9.27e-01, error(valid)=2.66e-01, acc(valid)=9.27e-01\n",
+ "Epoch 50: 0.22s to complete\n",
+ " error(train)=2.59e-01, acc(train)=9.28e-01, error(valid)=2.65e-01, acc(valid)=9.27e-01\n",
+ "Epoch 55: 0.21s to complete\n",
+ " error(train)=2.57e-01, acc(train)=9.29e-01, error(valid)=2.64e-01, acc(valid)=9.29e-01\n",
+ "Epoch 60: 0.22s to complete\n",
+ " error(train)=2.56e-01, acc(train)=9.28e-01, error(valid)=2.65e-01, acc(valid)=9.28e-01\n",
+ "Epoch 65: 0.21s to complete\n",
+ " error(train)=2.54e-01, acc(train)=9.30e-01, error(valid)=2.63e-01, acc(valid)=9.28e-01\n",
+ "Epoch 70: 0.21s to complete\n",
+ " error(train)=2.52e-01, acc(train)=9.30e-01, error(valid)=2.64e-01, acc(valid)=9.28e-01\n",
+ "Epoch 75: 0.22s to complete\n",
+ " error(train)=2.50e-01, acc(train)=9.31e-01, error(valid)=2.62e-01, acc(valid)=9.29e-01\n",
+ "Epoch 80: 0.21s to complete\n",
+ " error(train)=2.49e-01, acc(train)=9.31e-01, error(valid)=2.63e-01, acc(valid)=9.28e-01\n",
+ "Epoch 85: 0.21s to complete\n",
+ " error(train)=2.48e-01, acc(train)=9.31e-01, error(valid)=2.62e-01, acc(valid)=9.30e-01\n",
+ "Epoch 90: 0.22s to complete\n",
+ " error(train)=2.47e-01, acc(train)=9.31e-01, error(valid)=2.62e-01, acc(valid)=9.28e-01\n",
+ "Epoch 95: 0.21s to complete\n",
+ " error(train)=2.47e-01, acc(train)=9.31e-01, error(valid)=2.62e-01, acc(valid)=9.29e-01\n",
+ "Epoch 100: 0.39s to complete\n",
+ " error(train)=2.45e-01, acc(train)=9.32e-01, error(valid)=2.62e-01, acc(valid)=9.28e-01\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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gtqizlYnoEw8ldQ8UJ97WjIiIiKglMdyqaEykH0oqZfx8qkiV9kSfOKC8DDhy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\na7a3h0IwjYcxGzzQUG+F4MbDmDW74OvPrW0+X/iLXXGQlII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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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XxQbgcx4BNtjXh1sujWBKWjjfHKtleV6Fuzxi0sBQrpHyiG5PWsfLGAyGFr2m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\nFOF/YgAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Set training run hyperparameters\n",
+ "batch_size = 100 # number of data points in a batch\n",
+ "init_scale = 0.5 # scale for random parameter initialisation\n",
+ "learning_rate = 0.1 # learning rate for gradient descent\n",
+ "num_epochs = 100 # number of training epochs to perform\n",
+ "stats_interval = 5 # epoch interval between recording and printing stats\n",
+ "\n",
+ "# Reset random number generator and data provider states on each run\n",
+ "# to ensure reproducibility of results\n",
+ "rng.seed(seed)\n",
+ "train_data.reset()\n",
+ "valid_data.reset()\n",
+ "\n",
+ "# Alter data-provider batch size\n",
+ "train_data.batch_size = batch_size \n",
+ "valid_data.batch_size = batch_size\n",
+ "\n",
+ "# Create a parameter initialiser which will sample random uniform values\n",
+ "# from [-init_scale, init_scale]\n",
+ "param_init = UniformInit(-init_scale, init_scale, rng=rng)\n",
+ "\n",
+ "# Create affine + softmax model\n",
+ "model = MultipleLayerModel([\n",
+ " AffineLayer(input_dim, output_dim, param_init, param_init),\n",
+ " SoftmaxLayer()\n",
+ "])\n",
+ "\n",
+ "# Initialise a cross entropy error object\n",
+ "error = CrossEntropyError()\n",
+ "\n",
+ "# Use a basic gradient descent learning rule\n",
+ "learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n",
+ "\n",
+ "_ = train_model_and_plot_stats(\n",
+ " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "|`init_scale`| Final `error(train)` | Final `error(valid)` |\n",
+ "|------------|----------------------|----------------------|\n",
+ "| 0.01 | 2.43e-01 | 2.58e-01 |\n",
+ "| 0.1 | 2.43e-01 | 2.59e-01 |\n",
+ "| 0.5 | 2.45e-01 | 2.62e-01 |\n",
+ "\n",
+ "\n",
+ "Larger initialisation scale of 0.5 seems to give slightly slower initial learning than smaller scales of 0.1 and 0.01 however difference is only slight suggesting for this shallow architecure training performance is not particularly sensitive to initialisation scale.\n",
+ ""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Varying learning rate\n",
+ "\n",
+ "Now let's try some different values for learning rate."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### `learning_rate = 0.05`"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "Epoch 5: 0.22s to complete\n",
+ " error(train)=3.41e-01, acc(train)=9.05e-01, error(valid)=3.16e-01, acc(valid)=9.12e-01\n",
+ "Epoch 10: 0.21s to complete\n",
+ " error(train)=3.10e-01, acc(train)=9.14e-01, error(valid)=2.92e-01, acc(valid)=9.18e-01\n",
+ "Epoch 15: 0.22s to complete\n",
+ " error(train)=2.97e-01, acc(train)=9.18e-01, error(valid)=2.82e-01, acc(valid)=9.21e-01\n",
+ "Epoch 20: 0.22s to complete\n",
+ " error(train)=2.88e-01, acc(train)=9.20e-01, error(valid)=2.76e-01, acc(valid)=9.23e-01\n",
+ "Epoch 25: 0.21s to complete\n",
+ " error(train)=2.83e-01, acc(train)=9.21e-01, error(valid)=2.73e-01, acc(valid)=9.24e-01\n",
+ "Epoch 30: 0.22s to complete\n",
+ " error(train)=2.77e-01, acc(train)=9.22e-01, error(valid)=2.69e-01, acc(valid)=9.24e-01\n",
+ "Epoch 35: 0.22s to complete\n",
+ " error(train)=2.74e-01, acc(train)=9.24e-01, error(valid)=2.67e-01, acc(valid)=9.25e-01\n",
+ "Epoch 40: 0.21s to complete\n",
+ " error(train)=2.72e-01, acc(train)=9.24e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n",
+ "Epoch 45: 0.22s to complete\n",
+ " error(train)=2.68e-01, acc(train)=9.26e-01, error(valid)=2.64e-01, acc(valid)=9.27e-01\n",
+ "Epoch 50: 0.22s to complete\n",
+ " error(train)=2.66e-01, acc(train)=9.26e-01, error(valid)=2.63e-01, acc(valid)=9.28e-01\n",
+ "Epoch 55: 0.21s to complete\n",
+ " error(train)=2.64e-01, acc(train)=9.26e-01, error(valid)=2.62e-01, acc(valid)=9.29e-01\n",
+ "Epoch 60: 0.21s to complete\n",
+ " error(train)=2.63e-01, acc(train)=9.26e-01, error(valid)=2.62e-01, acc(valid)=9.28e-01\n",
+ "Epoch 65: 0.23s to complete\n",
+ " error(train)=2.61e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.27e-01\n",
+ "Epoch 70: 0.23s to complete\n",
+ " error(train)=2.60e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n",
+ "Epoch 75: 0.21s to complete\n",
+ " error(train)=2.58e-01, acc(train)=9.29e-01, error(valid)=2.60e-01, acc(valid)=9.29e-01\n",
+ "Epoch 80: 0.23s to complete\n",
+ " error(train)=2.57e-01, acc(train)=9.29e-01, error(valid)=2.60e-01, acc(valid)=9.29e-01\n",
+ "Epoch 85: 0.21s to complete\n",
+ " error(train)=2.56e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n",
+ "Epoch 90: 0.21s to complete\n",
+ " error(train)=2.55e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n",
+ "Epoch 95: 0.22s to complete\n",
+ " error(train)=2.54e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n",
+ "Epoch 100: 0.21s to complete\n",
+ " error(train)=2.53e-01, acc(train)=9.30e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n"
+ ]
+ },
+ {
+ "data": {
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JiIgIQHl5ORYuXIhZs2ZZtV8hBIQQzT73csOHD0dERATeeustS5TW5hhuLUjEDQIqK4DD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\nFRERkVPKcDr7hj0M8nhilod4j2/TYdK6Owgc3I9Vvxe++AT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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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7EaIP8CxvXK/z/Lmt2w8OV9jIOWBm0+FKgrQaJvXxBMdIw7ljjep0Qm011FRD\nTRXUVntu5Kpt/HMN1FT5Lmt8fVaRCEXjCbRhJk+lNjYe0jPPVG7DTWD0vCYk7Jw3e/UCngDubgjy\na3+08MkPFUxINXJzv0sP8vUut0+QtdqbhtuGz/YzYffswKpRICwwAFOgFoNOgz5A8QTTAIVgnaYh\npGq8YbVxnU6joA/wLNdqFM9+Pus1PtvqAhT0GgVtwzqt5sw9N62Z4elSSAD2M3/84x/RarXk5ORg\nt9sZMWIES5cu5a677vIJlcHBwaxcuZKFCxeydu1aPvroI6Kiohg3bpx3BgWNRsP777/Pa6+9Rk5O\nDmvXriUiIoKRI0f6zMwwffp0XnjhBfLy8pg2bVqzMU2ZMoXXX3+dXr16MWDAAJ91ERER/POf/+QP\nf/gDL7/8MkajkVtvvZUxY8Zw1113NTvW2cH47D9nZmbyr3/9i+eee46FCxcSFxfHU089xalTp5oF\n4KqqKjZt2sQLL7xwkV9dIYTomlRVpbzOyVGLnaNWO0cs9Ry12DlmtWN3ecJRiF5DijGQEL2G0loH\ntQ43NfVu6hwuahxuzlf0C9IqBOuahOUmwTlEp/Gs02uahOkAQvRnQnRwQwjbdczCP7cfZvcpG9GB\nMDPBwbXBlQRVHoL/q8bdEFpVb9CthtoqqKkBe13Lg9PqPL/mDwn1fASHem7iCg71XRYW7gm04REQ\nGoaiabv5faODdcwaFsttA6JYV2hhVUEFGw5ZyUoIYVq/KDJjDFTVN6nMniPINr6udTTv/Q3RaTAG\nBRAeqMUYFEB6pAFjUIDno2GZKcjzOVQf0GE905eLop7recDdXGlp6XmfBCfTXrWtp556ikOHDvHx\nxx939FAu2j/+8Q/+53/+h23btvlMxdYS+TvTeci18C9yvVvPanNy1GrnqKWeIw2B96jFTk1DaAoM\nUOhpCqSnMZAUU2DDaz2RBu05f/umqp5ffdc43NTWewJYrcNNjcNFXUNQrq13Ultnp8bmoM7upKbe\nSa1DpdapUuuCOreCjXOHSo3qxq1oSK0uZurRLxlT+h3axpu8FA0Eh3jDKiGhKMGhZ4Jtw2slJASC\nzwq7+rZrl2grZ9/Mp+C5p60pnUZpCLBaTGcF2TPLGv4cGNDlnkyn0+mIkR5g0dU9+eSTjB8/np07\nd3ofZ92ZOZ1O3nrrLZ544okLhl8h/Fml3UVNvQtjUAAGrUamDOxEah0ujlrqGyq6dm8bg9Xm+XW+\nVuOZs7aWjEdXAAAgAElEQVSnKZCshFCSTXpSjIHEhurQtHAdVZcLtaLM0wtbVwN1tah1tdDwoaur\nxVRXg9F2ZtmZjxqot597sBoNGEJwGUKoDTFRFxxOjcGILTCUmsBQanXB1OoM9I40kGHQoxk3DULu\nOVOlDQru0Dll25ouQOEXaUau7hXOnpJaTlc7vNXaxiqtfL/9PBKAxWWRmJhIUVFRRw/jomm1Wnbs\n2NHRwxCi03G5VQrNNnYXV7OruIbCcpu3MtXdK1KdVeMDmRpDbmNFt7TWCXj6OePD9PQ06vllhokU\noyf0xofp0Tb5NbfqcoGlHA6exl1+CspOQ/lp1LJTnsfXVpRBS1NPBgaBIdgzTVaQwfPZEIwSGeNZ\nHhQMwZ71SlBww7bBTfYJBr0eRVEIAPTAue668LeKv6IoDI0PufCGotUkAAshhDivSpuT3Sdr2FVc\nw7cna6iyuwjRaRgSH8IvM0zEhuia9SJabE6KKx0csNdddE9iY2XLX3sSL0a9y83eklp+KKvzBt2S\naoe3/zY2REtPYyDjUsM97QvGQJKMevQBGlS3y/OI2rJjqN97Qq27/BRqQ9Closz3Zi9jBETFokTF\nQu8rPA81iOrh6YNtEniVc0yDKURnJgFYCCGEj3NVedMiArk+3cTwhBCuiDa0KpCe7670yobgXGi2\neW/wcZ7nrvTGkBwepCUzoZ4rwhViQzvn06baQk29i13FNXx1rIpdxTXYnG5MQQGkmAIZnhjqregm\nh2kx1Fg9VdvyQvj+NJSdQi0/jav8NJhLfQNumNETaqN7QK8+nrAbHet5dG1kTKfsjRWirUgAFkII\nccEq77CE0PNOMXUh+gANMSEaYkIuHFQvNC9pY0g+bLHz2cEKXKrniZnDE0IYnhhKvxhDl2+vMNc5\n2XGsih3Hq8k/VYPTDb0j9NyaouNKQy1JtSUo5tPwfZMWhfJS3C7nmYOEGc9UcFPSITrWU8GNjoXI\nWBS5v0H4MQnAQgjhh9qjyttWFKVxyqwA4sPO/yh4XUg4/3fgOLuLa9h0pIrcggqCtAqD4kIYFh/C\n8ITQTl8dVl0uqLRw4mQZO07U8lWFwkFHEBrVTX/HaWZaDnJl8W6iLcW++4WGQ1SsJ9gmj/J8ju7h\nWRYVixLYdZ5SKsTlJgFYCCH8hNXm5Nt2rPJ2hLBALWN6hjOmZziqqvJThZ3dxTXsKq7m7ztP4VZP\ndVh1WFVVqK4CazlUmFEt5WA1e15bzagWM4X1er4O6smO6P4cD+mB3hXA0IofebT2CFkBFYSFhaDE\nRULfbDBFoZgiwRQJEVGeG8qEEJeka/1LJ4QQ4qJ15ipve1AUhbTIINIig5g+IIrqehffldS0S3VY\ndTqg7BRYGoKtxdzsNVYzOJu0JCgKzrAI9sf1Z0fkEL42JVGuBBGqcTHC6OaeeC1DUuMINA7oVlN6\nCdEZSQAWQohupDtWeS9VqD6gzavD6omjqJvXoX71f55H5TYyhHgqs6ZIlNgE6DPA89oUhS0sgm8d\noewwK+w8WUN1vZuYYC1XJYcxKjmUfjHB3eaHECG6Cv/4V1AIIbqpepebwnIb35XU+EWV91L9nOqw\nareh7tyCujkPigogzIgyNhtlYBZERIExslm/baXNydcnqtlxvJo9B2uod1WTYgxkUp8IRiWHkRYR\nKA8xEKIDyaOQW2AymdDIr5+6DY1Gg7ulydvbkNvtxmKxtOs5xMXp7hPlW+qcHCiro6C0jgOldRSZ\nbTjdqrfKOywhxK+qvG1xvc+uDheU1eFWIckAw2qPMqxgI5mlP6DrOxDN+Otg8EgUbfPWiVPV9Xx9\nvJqvjlWxv7QOVYW+MQauTAplVHLYBW/oExfW3b+/xRnt/ShkCcCi25N/MP1Ld7reblXlqMVOQZkn\n7BaU1lFS7fl3KzpYS2aMgb4xBjJjgkk1Bfpllbetr7daV0v19s3s2fMD37pN7I7OpEIXRlAADIoP\n9akOq6rKEYudr45Xs+NYFYcq7Gg1CoPjghmVHMbIxFBMfvKDyOXSnb6/xfm1dwCW70whhOgk6hxu\nDpafqe4eLKujxuFGo0CviCCyEkPpG+0JvRczn664OKqqQlEB6pY81G+2EOx0MHpgFmPHXYXafyiH\nK50t9g473Sol1Q4MWg1ZiSHc2j+KYQkhBOvkyWhCdHYSgIUQogOoqkpZrbOhslvLgdI6DlvsuFUI\n0WvoG23g5n6R9I020CfaQJBW2rLamlpdifrVRtTN66H4qGfu3EkzUMZcg2KKAkAB0iK1LfYOazUK\nVyaFMrBHcJd/8IYQ/kYCsBBCXAZOt8pPFTZvdbegtI7yOs8UWfFhOjJjDNzQJ4K+0QaSjHo0coNU\nu1BVFX7IR92ch7p7O6gqypArUX71a+g7+ILTjzWdWUII0XVJABZCiHZQbXed6d0tq+PHsjrsLhWt\nRiE9MojxqeH0bejhNQXJP8XtTa2sQN36BeqWPDh9EuISUW6+G2X0L1DCjB09PCHEZSb/6gohRBs4\nVV3PvlO13sB7zFoPgDEogL7RBu4YFE3fGAPpkUHy6/LLRHW7YP8e3Jvz4LuvQROAMnw0ysxHIaO/\nTEMmhB+TACyEEJeg3uXm+9N17CquZndxDScq61GAnsZA+sUEc0u/KDJjDMSF6iRoXWaquQx16+eo\nW9aDuRSSUlFu+zXKlRNRQkI7enhCiE5AArAQQlykU9X17CquYXdxNXtLarG7VKIMWoYlhHDP4BgG\n9ggmNLD7zwCg1tVC+WkoL0U1l4KjHgzBEGRACTJAoAGCDN5lBBlA274/CKhOJ+zbiXtTHuzbDXo9\nysjxKOOug9QM+SFECOFDArAQQpxDS1XeAAUyYwz8amA0wxNCSDF1ryd6qW43VFrAXIpaXgrmJkG3\nIfRSV3Nmh4AA0OrAbvPsf64DBwR4gnHTUNwQlBWDAYKCzwTnoCbLAxvWNS43GEAf5L1ZzVVyAvfq\n5ajbvgCr2RN2734IZeQ4lKDg9v1iCSG6LAnAQgjRxIWqvIPjg7v0PK+q0wHmsjMBt/w0mE+jmssa\nXpeBs8lDgoIMEBULkTEo6ZkwcgJERqNExXqWG00omgBPcLbbwFbX5KMWbHWoPsuaL1etZqirPbPe\nXgcu17nDNDQE4yDM1gowhKCMmoAy7nqU5F7t/SUUQnQDEoCFEH7N0VDl3dlNqrzN2hPKTzeEXc9n\nrBXQ9AGg4aaGgBuNknwlRMaiRMVAZIxneXDIRb13RaPxVHcNzauurf3KqarqCeG2umbBWD1rWWhq\nb2quGIwSGNjKswgh/JkEYCGE3+nqVV7VboOS46gnj8HJhs+lJZ6AW3tWe0JEtOcBDz0Sod8QTyW3\nsXobGY2i03fcGzkHRVFAp/d8nDVF2dlhOigyklp5NK4QopUkAAshur2uWuVVq6xw8hjqyeM+gRdz\n6ZmNTFEQn+RpT4hsuT1BCCGELwnAQohuqatUeVW3GyrKzgRdb+A9BtVVno0UDcTEeYLuyPGez/HJ\nEJeE0kLLgRBCiPOTACyE6NLcqkpFnZOyWidlNQ4Of29l66HyTlflVZ1OKD3ZQtA9DvV2z0Y6vecJ\nZfHJ0G8ISnwSxCdDbAKKTtch4xZCiO5IArAQotNSVZWqejdlNQ7Kah2U1jgpq3V4w25ZrYPyWieu\nJvd0xYToGRJn6LAqr2qr87QrlBw/05978rgn/Lpcno2CQz1V3J5pcOV4bzWXqFjv9F5CCCHazyUF\n4M8++4xVq1ZhsVhITU1l1qxZpKenn3f7devWUVpaSkxMDNOmTWP8+PHe9Rs2bGDTpk0cPXoUgLS0\nNO644w6fYy5fvpwVK1b4HDchIYFXXnnlUt6CEKITqHO4fQJtaa2DsrNCrr1JutVqICpYR3SwlpgQ\nHZkxBmJCdEQH64gO0RITrCM5LpqKiorL9h7USgtq/i7Uvd/A4YOeacQaNfbn9hsC8Td6gm58EoSZ\nOl2/sRBC+JNWB+Bt27axZMkS5syZQ3p6OmvWrGHBggUsWrSI8PDwZtvn5eWxdOlS5s6dS1paGoWF\nhbz55puEhoYybNgwAPbv38+YMWO4//770el05OTksGDBAv7yl78QERHhPVZycjJPP/20Z4ocICCg\n4/v3hBAtc7hUyhuDbK2D0pqmlVvPsup6t3d7BTAZtN5wm2IKJDpYR0yItiHg6jAFBaC5QHBs72Cp\nqiocP4y69xtP6P3poGdFrz4oI8ZDQrL05wohRCfX6gC8Zs0asrOzmTBhAgCzZ89m9+7dbNy4kalT\npzbbfvPmzWRnZzNq1CgAYmNjKSwsJDc31xuAH330UZ995s6dy44dO8jPz/epFAcEBLQYsoUQHUtV\nVU5UNtx0drKGIxU2Kmwun23C9BqiQzzV28wYA9Eh4Z6w21C9jTTo0AV0zqqoWm+Hgr0NoXen56a1\nIAP0H4oy4TGUAcNRwk0dPUwhhBAXqVUB2Ol0cujQIaZNm+ZdpigKAwcO5ODBgy3u43A40Ot955nU\n6/UUFhbidrvRtNDvZrfbcblchIaG+iw/efIkDz74IHq9noyMDO68806io6Nb8xaEEG3E5nSzt6SG\n3cU17Cqu4XSNA51GYUCPYK7LMBHb2JoQrCU6REeQtmv1tqrmMtT8nZ4qb8F3UF8PMXEow65CGTQC\n+vRH0cqNaUII0RW1KgBXVVXhdrsxGn0nJjcajRQXF7e4z+DBg9mwYQNZWVmkpaVRVFTEF198gdPp\npLKyEpOpedXkgw8+IDIykkGDBnmXZWRk8PDDD5OQkIDFYmH58uU888wzLFy4kKCgoNa8DSHEJfCp\n8hZXs+90HU63SlyojqzEEIYnhDKwRzCBXSzoNlLdbjj845nWhmM/gUYD6f1QptzlCb1xidK7K4QQ\n3UC7zwJx6623YrVamT9/PqqqYjKZmDhxIrm5uS1Wf3Nycti+fTvPPvssWu2Z4Q0ZMsT7umfPnqSn\np/Pwww+zfft2rr766vZ+G0L4pfNVee8bGsOwhFASwnRdNhSqdbWwf48n9ObvhCorBIeiDBwOv7wV\npf8wlJDQCx9ICCFEl9KqABwWFoZGo8Fqtfost1qtLVZywdPuMHfuXObMmYPFYiEiIoL169djMBia\n9fN+8skn5Obm8vTTT5OcnHzesQQHBxMfH09JSck5t9myZQtbt271WdajRw/uu+8+wsPDvTfTie5N\np9MRGRnZ0cPoElRV5WhFHV8dsbDjSAV7TlTicKskhAcyNi2KK1NMDEsyEtQJHiBxLhe63q6SE9h3\nbqV+1zYc+/eA00lAci/019xIYNZotH36owTIDJFdhXx/+xe53v6jsbDy3nvvcerUKZ91Y8aMYezY\nsT/r+K36V16r1ZKWlkZ+fj5ZWVmA5z/Mffv2ccMNN5x3X41G4/1Lu23bNoYPH+6zPjc3l5ycHObN\nm0evXr0uOBabzUZJSYn3ZryWjB079pxfoMrKShwOxwXPI7q+yMhIzGZzRw+j0zpXlbd/j2BmtlDl\nra2yUtvBYz6fs6+36nJB4YEzrQ0lx0GrhT4DUabfjzIoC2LiqAfqAayVHTV0cQnk+9u/yPX2Hzqd\njpiYGO677752OX6ryxyTJ0/mjTfeIC0tzTsNmt1uZ+LEiQB8+OGHmM1mHnnkEcBz41phYSEZGRlU\nV1ezevVqjh075l0PnraH5cuX8/jjjxMdHY3FYgEgKCjI29+7ZMkShg8fTkxMDGazmWXLlqHVahkz\nZszP/RoI4Vea9vLuKq7m+27Wywug1lSh7tsN332N+v1uqK2BcBPKwCyUafdAv8EoQTJFmRBC+KtW\nB+DRo0dTVVXFsmXLvA/CmDdvnredwWKxUF5e7t3e7XazevVqiouL0Wq19O/fn+eff95n9ob169fj\ndDpZuHChz7lmzJjB9OnTASgvL+e1116jqqqK8PBw+vbty4IFCwgLC7ukNy6EPzlflbcz9vKqquqZ\ndaHe3uTDBvYzf1brbWfWNS6327AUH8VdkA+qG3r2RvnFTZ4b2FJ6y1PWhBBCAKCoftoIW1paKi0Q\nfsIff2V2virvsIT2rfKqJ4+hHik6K7TWn/lzvd0zr25DYPWus9t8A+/F0gdCYJDnsz4QfVIKjr6D\nPdXeiKg2f3+ic/HH729/JtfbfzS2QLQXudNDiG7A6Vb5qcJGQWkdB0rrKCito7zOeVmrvGqlBTX3\nQ9TNeZ7qq6J4Q6nPR2Dj6yCUUOM51nk+lCbBtsVtdPpm78co/0EKIYS4AAnAQnRB1XYXBWWeoHug\nrI4fy+qwu1S0GoX0yCDGp4YzoEfwZenlVZ0O1C9Wo67+X1AUlNtmoYy73hNgO0lLhRBCCNGUBGAh\nOjlVVTlZ5eBAaS0FZZ4K7zFrPQDGoAD6Rhu4Y1A0fWMMpEcGoQu4PH2uqqrCdztwL38Xyk6hTPgl\nyk13ooTJ48qFEEJ0bhKAhehk6l1uisptnlaGhiqv1e5CAXoaA+kXE8wt/aLIjDEQF9oxN66px3/C\nvewdOPAd9BuC5uF5KIk9L/s4hBBCiEshAViIDmapc3KgsZ2htI4isw2nWyVIq9AnysD1GSYyYwz0\niTYQqu/YB1D49PnGxqN59PcwMEtaHYQQQnQpEoCFuIzcqspRi93bylBQWkdJtWc2kphgLX1jDExI\njaVvjIFUUyABms4RLFvs8504CUWr6+ihCSGEEK0mAViIdlTncHOw/Ex192BZHTUONxoF0iKCyEoM\nJTPGQN8YA9HBnS9MSp+vEEKI7kgCsBBtyOVWKTTb2F1cza7iGorMNtwqhOg19I02cHO/SDJjDGRE\nGQjq5E9akz5fIYQQ3ZUEYCF+pkqbk90nPU9Y+/ZkDVV2FyF6DUPiQrgu3UTfGANJ4Xo0XaRPVq2y\nouZ8IH2+Qgghui0JwEK00tlV3sJyGyqQFhHI9ekmshJC6BNt6DT9uxdL+nyFEEL4CwnAQlyExirv\n7uIadp9V5b0hw8SwhFAiDF3z28nT5/s17uXvSJ+vEEIIv9A1/8cWop111yrv2dTjh3Eve1v6fIUQ\nQvgVCcBCNGha5f32ZA2V3ajKeza1yoqa+wHqJunzFUII4X+6x//mQlyC81V5r0s3MTwhhCu6QZW3\nKenzFUIIISQACz9zoSrv0IRQIrtJlbcpnz7f0oY+3ynS5yuEEMI/db//6YVowq2q7C+pYmNBqd9U\nec/WvM/3/6EkpnT0sIQQQogOIwFYdEulNQ42FFnJK7JQXuv0iyrv2Zr1+T7yexgkfb5CCCFE908B\nwm+43Cq7i2tYV1jBruIa9AEaJqSGc9OgJBICHd26ytuUWlqCun0j6ue50ucrhBBCtEACsOjyzq72\n9o4MZO6IOMalhhGsCyAyMhyz2dzRw2xXam0N6q6tqNu/gB/3Q2AQyuhrUG66Q/p8hRBCiLNIABZd\n0rmqvdelm0iPCuro4V0WqtMJ+7/1VHv37ACXCzIHo/z631CGjkIJ9I+vgxBCCNFaEoBFl3Kham93\np6oqHD2Euv0L1K83QZUVElNQbr4b5crxKKaojh6iEEII0elJABadnlR7QTWXoe740tPicPIYhJtQ\nRk1EueoXKMm9Onp4QgghRJciAVh0Wn5f7bXVoe7ejvrVRijYC1qdp7XhtvshcwhKQPf/GgghhBDt\nQQKw6FT8vdqrul1QsNfT17t7O9Tb4YqBKDMfRRk2GsUQ3NFDFEIIIbo8CcCiU/D7au/xw6hfbUTd\n8SVYzBCXiDJphqfNISq2o4cnhBBCdCsSgEWH8ftqr7UC9etNnr7eYz9BaBjKiPEoV/0CUtPlgRVC\nCCFEO5EALC47f672qvV21D07ULdvhP3fgkYDg0aimXInDBgmD6sQQgghLgMJwOKy8Odqr+p2w4/f\ne/p6d20FWx307oty51yUrLEoIaEdPUQhhBDCr0gAFu1KVVU+PWjho/3lflXtVV0uOHEYdVfDLA7m\nUojugXLtVE9fb2xCRw9RCCGE8FsSgEW7qal38fpXJ9l+rJpfpBmZ3Cei21Z71doaOPQDalEBatEB\nOHQQ7HVgCEEZMRZl1NWQnil9vUIIIUQnIAFYtIvDFTZe3HwCi83Ff45PZFRyWEcPqc2oqgplp1AL\nD0DRAc/n4qOgqhAa7mlvmHwbSnqm52Y2nb6jhyyEEEKIJiQAiza38ZCVN74uISFMz8JfJpMQ3rUD\noOpwwNEi1KIDqEUFUHgAKi2elfHJnqB77VSU3pnQI0GqvEIIIUQnJwFYtBmHy81bu07z2Y8WfpEW\nztwRcQRqNR09rFZTq6xQVIBa2BB4D/8ITgfo9ZDaB2XstSi9+3oqvSHdp7IthBBC+ItLCsCfffYZ\nq1atwmKxkJqayqxZs0hPTz/v9uvWraO0tJSYmBimTZvG+PHjves3bNjApk2bOHr0KABpaWnccccd\nzY7Z2vOKy+dUdT0vbS7miMXOb66M49rexi5RCVXdbig57q3sqkUFcOqEZ6Up0lPVvXWm53NyLxSt\n/MwohBBCdHWt/t9827ZtLFmyhDlz5pCens6aNWtYsGABixYtIjw8vNn2eXl5LF26lLlz55KWlkZh\nYSFvvvkmoaGhDBs2DID9+/czZswY7r//fnQ6HTk5OSxYsIC//OUvREREXNJ5xeWz60Q1r2wrxqAL\n4L+uS+nUN7qpdhsc/vFMdbeoAGqrQdFAcipKv8Fw0+2etobImC4R4oUQQgjROq0OwGvWrCE7O5sJ\nEyYAMHv2bHbv3s3GjRuZOnVqs+03b95MdnY2o0aNAiA2NpbCwkJyc3O9AfjRRx/12Wfu3Lns2LGD\n/Px8b6W4tecV7c/lVlmaX8byfeUMTwjhidEJhAV2rqnN1JoqbAe+xf3dTs/Nasd/ApcLDMGQdgVK\n9hRP2O2VgRIU3NHDFUIIIcRl0KoA7HQ6OXToENOmTfMuUxSFgQMHcvDgwRb3cTgc6PW+N0Hp9XoK\nCwtxu91oNM17RO12Oy6Xi9DQ0Es+r2hflTYnC7cW811JLXcOjmZ6/yg0naxaqn73De73FlFVXQkx\ncZ6+3bHXegJvQjKKpnOFdSGEEEJcHq0KwFVVVbjdboxGo89yo9FIcXFxi/sMHjyYDRs2kJWVRVpa\nGkVFRXzxxRc4nU4qKysxmUzN9vnggw+IjIxk0KBBl3xe0X5+KKvjxc0ncLhUnv1FMkPiQzp6SD5U\nRz3qivdQv1gNg0YQ+Zv/wKqRRwwLIYQQwqPd7+i59dZbsVqtzJ8/H1VVMZlMTJw4kdzc3Barvzk5\nOWzfvp1nn30Wrdxw1Kk0PtXtnd2n6B1p4HfjEogO7lzBUj1xFPc/XoZTxSh3zEG5ejIBUVFgNnf0\n0IQQQgjRSbQqYYaFhaHRaLBarT7LrVZri5Vc8LQ7zJ07lzlz5mCxWIiIiGD9+vUYDIZmN6998skn\n5Obm8vTTT5OcnPyzzguwZcsWtm7d6rOsR48e3HfffYSHh3seaCAuSm29i5c3FvH5wTKmD47n4TEp\n6AI6zxRnqqpiW5dD9eLXCeiRSPhLb6FN6Q2ATqcjMjKyg0coLhe53v5Frrd/kevtPxpvQn/vvfc4\ndeqUz7oxY8YwduzYn3X8VgVgrVZLWloa+fn5ZGVlAZ7gsW/fPm644Ybz7qvRaLx/abdt28bw4cN9\n1ufm5pKTk8O8efPo1atXm5x37Nix5/wCVVZW4nA4zv+GBQDHrXb+a/MJSmscPDUmgXGp4VRZLR09\nLC+1qhL34tfgu69RJk5CnTGLSn2gt+obGRmJWSrAfkOut3+R6+1f5Hr7D51OR0xMDPfdd1+7HL/V\nPQaTJ0/mjTfeIC0tzTsdmd1uZ+LEiQB8+OGHmM1mHnnkEQBOnjxJYWEhGRkZVFdXs3r1ao4dO+Zd\nD562h+XLl/P4448THR2NxeIJV0FBQQQFBV3UeUX72HKkkte/KiE6WMuff5lKsjGwo4fkQz3wHe53\nXgGnA81v5qEMubKjhySEEEKITq7VAXj06NFUVVWxbNky7wMp5s2b521nsFgslJeXe7d3u92sXr2a\n4uJitFot/fv35/nnnyc6Otq7zfr163E6nSxcuNDnXDNmzGD69OkXdV7RthwulcXfnmbVDxWMSwnj\nN1fGY9B1opYHpwM190PUdR/DFQPR3P8kSkRURw9LCCGEEF2AovppI2xpaam0QJxDWa2DlzYXU2Su\nY9awWCb3iehUD4RQTxXj/sef4fhPKDffjXLdNJQWbqhsJL8y8y9yvf2LXG//ItfbfzS2QLQXmWZB\n+PiupIaFW4rRBij86doUrog2dPSQvFRVRd3+BeqHb4IxAs2/v4TSK6OjhyWEEEKILkYCsADArap8\n9H05H+4tY2CPYH47JgFjUOf566HWVqO+/zfUbzajjL4G5Y7Z8uQ2IYQQQlySzpNwRIeptrt4dXsx\n35yo4bYBUdw+MJoATSdqeSg8gPuthVBbjTL7KTQjx3f0kIQQQgjRhUkA9nNFZhsvbj5BTb2L309M\nIisxtKOH5KW6XKifLkddvRR69UHz1AKU6B4dPSwhhBBCdHESgP2UqqqsL7Ly929O0dMUyB+vSaZH\nqL6jh+Wllpd6qr5FBSiTb0O58VcoAQEdPSwhhBBCdAMSgP2Q3enmf745xReHrFyfbuKBrFj0nemp\nbju34F7y3xBk8FR9+/Tv6CEJIYQQohuRAOxnTlbV8+LmE5yorOfxq+L5RZqxo4fkpdptqP/6O+rW\nz1GGj0G55zcoIZ2nJUMIIYQQ3YMEYD+y41gVr24/iTEogJevTyE1Iqijh+SlHinyzO1bUYYy81GU\nMdmdau5hIYQQQnQfEoD9xMr95bz3bSlXJoXy+FXxhOg7Rz+t6najfp6L+vESSExB8/tXUOKSOnpY\nQgghhOjGJAD7geOVdpbsKWVq3whmDYvtNJVV1WLG/e6rsH+P52lu0+5G0eo6elhCCCGE6OYkAPuB\nd3adJipYx12DYzpP+P3uG9zvLYKAADRPPofSb2hHD0kIIYQQfkICcDe380Q1u4pr+I/xiQRqO36m\nB4qmH9QAACAASURBVNVRj7riPdQvVsPALDSzHkcJ6zw34gkhhBCi+5MA3I05XG7e2nWKQXHBjErq\n+NkU1BNHcf/jZThVjHLHHJSrJ3eairQQQggh/IcE4G5sVUEFp6od/L/xSR0aNFVVRf1yLeqydyC6\nB5p5f0ZJ6tVh4xFCCCGEf5MA3E2Z65z8775yJvWJoKcpsMPGobrdqO8uQv1qI8rESSgzZqHoO248\nQgghhBASgLupf357Gl2Awh0Dozt0HOryd1F3/B/KA79Fc+WEDh2LEEIIIQRAx98VJdrcD2V1bPyp\nkrsHRxMa2HHz/brzVqJ+notyxxwJv0IIIYToNCQAdzNuVeUfO0/RKyKQa3ubOm4cO75EXf4uyg3T\n0Vw9ucPGIYQQQghxNgnA3cwXh6z8WG5jdlYPAjQdc+ObeuA71HcXoVx1Ncq0ezpkDEKI/9/evcdF\nVef/A3+dYWYQlGEgLgqKyM1bCAoWAgIlm3l5VGRq3lJMjOXrtu22fd39Ypoltqu7ZXbZ7eslWssU\ne2wisgLeMi5W660gL4TTReUiAsNFBGeY8/vDr/NrApNBh2HmvJ6Ph4/gzOecz3vmrfby8DnnEBHR\nrTAA25FWXQe2narFxKEuGO3lbJUaxB81MLyzFhgRCuGp3/A2Z0RERNTnMADbkZ2ldbimM2DhWC+r\nzC9eqYFh42rA2xey1D9CkPMaSyIiIup7GIDtxMWmduScrccTo++BZ39Fr88vtjTB8MZLgNIRsmdf\nhNDPqddrICIiIuoOnqKzE1uPX4ZHfwUeG+Xe63OL19theGsN0NIM2R/XQVC59XoNRERERN3FM8B2\n4NilFhyvvIrkcV5QOvRuS8WODhg2/RW48B1kz66E4O3Tq/MTERERmYsB2MbpOgzYfLwGYwY6I2rw\ngF6dWxRFiNvfBb7+D2SpyyEMC+nV+YmIiIh6ggHYxuWcbUBNiw4pEd69fscFMTcL4md5EBb8F4TQ\nyF6dm4iIiKinGIBtWP01PXaW1WFqiBv81I69Oreh+ADE7A8hPDoXsthf9ercRERERHeCAdiG/fPk\nZSgcBMwJ9ejVecXSYxD/+RaEuIchTJvdq3MTERER3SkGYBt17so1HP6uCQvCPDHA0aHX5hW/K4fh\nH38BQiMhzH2GD7ogIiIim8MAbIMMoohNx2oQ4OaIxEDXXptXvFwJw8aXgSHDIEt5AYJD7wVvIiIi\noruFAdgGHdI04tu6NiyJ9IaDrHfOwIpNDTBseAkY4ALZshUQHHt3zTERERHR3cIHYdiYVl0Htp2q\nRdxQFUZ7OffKnGLbNRg2vgJcb7/xoIsBql6Zl4iIiMgSeAbYxuwsrcM1nQELx3n2ynyiXg/DP/4M\n1FyC7NlVEDy8e2VeIiIiIkvp0RngvLw85OTkQKvVwt/fH8nJyQgKCvrF8fn5+aitrYWnpyeSkpIQ\nFxdnfP3ixYvYuXMnNBoNrly5goULF2Lq1Kkmx9i1axc+/vhjk20+Pj54/fXXe/IWbNLFpnbknK3H\nk6Ee8HBWWHw+URQh/vMt4GwpZL9dBcEvwOJzEhEREVma2QG4pKQE27Ztw9KlSxEUFITc3FxkZGTg\njTfegErV+UfjBQUF2LFjB1JTUxEQEICKigq8++67GDBgAMaNGwcAaG9vh7e3NyZMmID333//lnMP\nGTIEK1euhCiKAAAHiV2EtfX4ZXj0V+CxUe69Mp+4+wOIRw9BWPI8hJFhvTInERERkaWZHYBzc3OR\nmJiI+Ph4AEBKSgpOnDiBw4cP49FHH+00vrCwEImJiYiKigIAeHl5oaKiAtnZ2cYAHBgYiMDAQADA\nhx9+eMu5HRwcugzZUnDsUguOV17FH+N8oXSw/MoVw+F/Q/z3LghPJEN2f7zF5yMiIiLqLWYFYL1e\nD41Gg6SkJOM2QRAQGhqK8vLyLvfR6XRQKpUm25RKJSoqKmAwGCCTdT/MVVVV4ZlnnoFSqURwcDDm\nzp0LD4/efQiENeg6DNh8vAZjBjojavAAi88nnjgK8aN3ISQ+AuGhxyw+HxEREVFvMutUYnNzMwwG\nA1xdTe896+rqCq1W2+U+YWFhOHjwIDQaDQDg/PnzOHToEPR6PZqamro9d3BwMNLS0pCeno6UlBTU\n1tZi1apVaGtrM+ct2KScsw2oadEhJcLb4g+eEL89DcOmv0KIiIEwczEfdEFERER2x+K3QZsxYwYa\nGxuxYsUKiKIItVqNhIQEZGdnm3X2Nzw83Pi1n58fgoKCkJaWhqNHj+KBBx6wROl9Qv01PXaW1WFq\niBv81Ja9965Y+SMMb60BAkdAWPw7CGb0h4iIiMhWmBWAXVxcIJPJ0NjYaLK9sbERarW6y32USiVS\nU1OxdOlSaLVauLm5Yf/+/XBycrqj9bzOzs4YNGgQqqurbzmmqKgIxcXFJtu8vb2xaNEiqFQq48V0\nfdnf938LR7kMaXHBcOlnuX+vdNTVQvvmy3Dw8IY6fR1k/V0sNldvUygUcHfvnQsHyfrYb2lhv6WF\n/ZaOmz+BzszMRE1NjclrMTExiI2NvaPjm5Wo5HI5AgICUFpaisjISAA3bpVVVlaGKVOm/OK+MpnM\n+Ju2pKQEERERPSz5hra2NlRXVxsvxutKbGzsLT+gpqYm6HS6O6rB0s5duYa8s7VIu28gdK1NqG+1\nzDxi61UY1v0RMBggW7YC2nYd0F5vmcmswN3dHfX19vN+6Jex39LCfksL+y0dCoUCnp6eWLRokUWO\nb/YpxWnTpuGdd95BQECA8TZo7e3tSEhIAABs374d9fX1WLZsGYAbF65VVFQgODgYLS0t2Lt3Ly5c\nuGB8Hbhxcd3FixeNX9fX1+P7779Hv379MHDgQADAtm3bEBERAU9PT9TX1yMrKwtyuRwxMTF3+hn0\nSQZRxKZjNQhwc0RioOvtd+ghUaeD4Z21QMMVyJb/BYLbPRabi4iIiKgvMDsAR0dHo7m5GVlZWcYH\nYaSnpxuXM2i1WtTV1RnHGwwG7N27F5WVlZDL5Rg9ejTWrFljcveGhoYGLF++3Ph9Tk4OcnJyMGrU\nKKxatQoAUFdXh40bN6K5uRkqlQojRoxARkYGXFzs50f1P3VI04hv69rw6q/84CCzzIVoosEA8b0N\nwPmzkP3+FQg+fhaZh4iIiKgvEURbWAhrAbW1tX12CUSrrgO/3qPBGO/+eD7Wx2LzGHZugXhwD2Sp\nyyGMi7bYPNbGH5lJC/stLey3tLDf0nFzCYSl8DL/PmhnaR2u6QxYOM5yjTcU7IZ4IBvCnKV2HX6J\niIiIfo4BuI+52NSOnLP1eOLee+DhrLDIHIYvjkDctRXClCcge2CaReYgIiIi6qsYgPsQURSx5dhl\nePRX4LGRlrnNi3jmK4jvvQFhwgMQkhZYZA4iIiKivowBuA85dukqTlRdRfI4Lygd7n5rxAvf3bjj\nw4hQCE/9hk95IyIiIkliAO4jdB0GbDlRg7CBzogaPOCuH1+8UgPDG6sBb1/IUv8IQW7xhwASERER\n9UkMwH1EztkG1LTosCTS2yJnZg3vvwkoFJA9+yKEfk53/fhEREREtoIBuA+ov6bHzrI6TA1xg5+r\n410/vlh9CTj7NYTH5kNQud314xMRERHZEgbgPuCfJy9D6SBgTqjH7Qf3gFhYAPR3gTBugkWOT0RE\nRGRLGICt7NyVazj8XRPmh3ligKPDXT++qNdBPHroxl0fFMq7fnwiIiIiW8MAbEUGUcSmYzUIcHNE\nYqCrZSY59QXQ3Ahh4kOWOT4RERGRjWEAtqJDmkZ8W9eGlEhvOMgsc0syw2f5QOAICD5+Fjk+ERER\nka1hALaSq9c7sO1ULeKGqjDKy9kic4i11cCZryDETbbI8YmIiIhsEQOwlWSV1eGazoCF4zwtNodY\ntB9w6g8hItZicxARERHZGgZgK7jY1I6cs/V44t574OGssMgcol4PsfgAhPvjITje/VurEREREdkq\nBuBeJooithy7DI/+Cjw20t1yE5UeAxobuPyBiIiI6GcYgHvZsUtXcaLqKhaP84LSwXIfv6GwAPAP\nhjBkmMXmICIiIrJFDMC9SNdhwJYTNQgb6Iz7Bw+w2DxiXS1Qdpxnf4mIiIi6wADci3LONqCmRYcl\nkd4QBMvc9gwAxOL9gLIfhPETLTYHERERka1iAO5FNVd1mDbcDX6ulrsoTTR0QCw6AOG+iRD6OVls\nHiIiIiJbJbd2AVLy6/sGwiCKlp2k7ATQcIXLH4iIiIhugWeAe5nMgksfgP+7+G3IMGBokEXnISIi\nIrJVDMB2RNTWAV//B8LEyRZdY0xERERkyxiA7YhYfBCQyyHcH2/tUoiIiIj6LAZgOyEaDBALCyBE\nToTg3N/a5RARERH1WQzA9uLMV0DdZQgTH7J2JURERER9GgOwnTAU5gM+fkDgCGuXQkRERNSnMQDb\nAbGpATj1BYSJD/HiNyIiIqLbYAC2A2LJIUCQQZjwgLVLISIiIurzGIBtnCiKEAv3Q4iIhtDfxdrl\nEBEREfV5DMC2rrwMuFwJYSKf/EZERETUHQzANk78LB/w9gVCRlu7FCIiIiKbwABsw8SWJognSnjx\nGxEREZEZGIBtmPj5YUAEhOgHrV0KERERkc2Q92SnvLw85OTkQKvVwt/fH8nJyQgKCvrF8fn5+ait\nrYWnpyeSkpIQFxdnfP3ixYvYuXMnNBoNrly5goULF2Lq1Kl3PK89E0UR4mcFEMZGQXBxtXY5RERE\nRDbD7DPAJSUl2LZtG2bNmoV169Zh6NChyMjIQFNTU5fjCwoKsGPHDsyePRuvvfYaZs6ciS1btuDE\niRPGMe3t7fD29sa8efOgVqvvyrx27/wZoOoCn/xGREREZCazA3Bubi4SExMRHx8PX19fpKSkwNHR\nEYcPH+5yfGFhIRITExEVFQUvLy9ER0dj0qRJyM7ONo4JDAzE/PnzER0dDbm865PS5s5r78TPCgAP\nb2DEGGuXQkRERGRTzArAer0eGo0GoaGhxm2CICA0NBTl5eVd7qPT6aBUKk22KZVKVFRUwGAwWGxe\neya2tkA8XnTj4jcZl3ETERERmcOs9NTc3AyDwQBXV9M1p66urtBqtV3uExYWhoMHD0Kj0QAAzp8/\nj0OHDkGv13d7+UJP5rVn4hdHAL0eQvQka5dCREREZHN6dBGcOWbMmIHGxkasWLECoihCrVYjISEB\n2dnZkPHspdluXPyWD4y5D4La3drlEBEREdkcswKwi4sLZDIZGhsbTbY3Njbe8uI1pVKJ1NRULF26\nFFqtFm5ubti/fz+cnJygUqksNi8AFBUVobi42GSbt7c3Fi1aBJVKBVEUuzV/X6L79jS0F7+HauF/\nwdGdAbg7FAoF3PlZSQb7LS3st7Sw39Jx8/kGmZmZqKmpMXktJiYGsbGxd3R8swKwXC5HQEAASktL\nERkZCeDGGcmysjJMmTLlF/eVyWTG37QlJSWIiIiw+LyxsbG3/ICampqg0+m6XUNfYcj9GHD3RItf\nEK7W11u7HJvg7u6Oen5WksF+Swv7LS3st3QoFAp4enpi0aJFFjm+2Usgpk2bhnfeeQcBAQEICgpC\nbm4u2tvbkZCQAADYvn076uvrsWzZMgBAVVUVKioqEBwcjJaWFuzduxcXLlwwvg7cuMjt4sWLxq/r\n6+vx/fffo1+/fhg4cGC35pUCsa0V4pefQZj8OASZg7XLISIiIrJJZgfg6OhoNDc3Iysry/hAivT0\ndONyBq1Wi7q6OuN4g8GAvXv3orKyEnK5HKNHj8aaNWvg4eFhHNPQ0IDly5cbv8/JyUFOTg5GjRqF\nVatWdWteKRC//Ay4fh1CTKK1SyEiIiKyWYJoiwth74La2lqbWwLRseb3gEoNh2dXWrsUm8IfmUkL\n+y0t7Le0sN/ScXMJhKXwNgw2QvzxPPBDBWRxk61dChEREZFNYwC2EWJhAaB2B0IjrV0KERERkU1j\nALYBYnsbxC+OQIhOhODAi9+IiIiI7gQDsA0QjxUBbdcgxPLiNyIiIqI7xQBsA8TCAmBkOATPgdYu\nhYiIiMjmMQD3ceKlH4DzZyGLe8japRARERHZBQbgPk4sLABcXIGw+6xdChEREZFdYADuw0TddYhH\nD0OIngRBrrB2OURERER2gQG4DxOPlwCtLRAmcvkDERER0d3CANyHiYX5wPBQCN4+1i6FiIiIyG4w\nAPdRYvVFoPwbnv0lIiIiussYgPsosXA/MMAFwrgJ1i6FiIiIyK4wAPdBok4HseQghKgHISiU1i6H\niIiIyK4wAPdB4qkvgJYmCLz3LxEREdFdxwDcB4mF+UDQKAiDhli7FCIiIiK7wwDcx4iXq4AzX/Hi\nNyIiIiILYQDuY8Si/YBTfwgRMdYuhYiIiMguMQD3IaJeD7H4AISoBAiOjtYuh4iIiMguMQD3JV//\nB2jS8uI3IiIiIgtiAO5DDIUFwLAQCIOHWbsUIiIiIrvFANxHiHWXgW9O8OI3IiIiIgtjAO4jxKID\ngLIfhPETrV0KERERkV1jAO4DxI6OGxe/3R8PoZ+TtcshIiIismsMwH1B2Qmg4QovfiMiIiLqBQzA\nfYChMB/wC4AwNMjapRARERHZPQZgKxMb6oDSYxAmTrZ2KURERESSwABsZWLxAUCugHB/vLVLISIi\nIpIEBmArEg0GiEX7IYyPheDkbO1yiIiIiCSBAdiaznwF1F3m8gciIiKiXsQAbEWGz/IB36FAwHBr\nl0JEREQkGQzAViI2NQBffQFh4kMQBMHa5RARERFJBgOwlYglhwCZA4SoBGuXQkRERCQpDMBWIIoi\nxMICCBHREPq7WLscIiIiIklhALaGc6XA5Spe/EZERERkBfKe7JSXl4ecnBxotVr4+/sjOTkZQUG3\nfopZXl4e8vPzUVtbC09PTyQlJSEuLs5kzNGjR5GVlYXLly/Dx8cHc+fOxdixY42v79q1Cx9//LHJ\nPj4+Pnj99dd78hasSiwsAAYOBoJHWbsUIiIiIskxOwCXlJRg27ZtWLp0KYKCgpCbm4uMjAy88cYb\nUKlUncYXFBRgx44dSE1NRUBAACoqKvDuu+9iwIABGDduHADg3Llz2LhxI+bNm4dx48ahsLAQ69ev\nx7p16zB48GDjsYYMGYKVK1dCFEUAgIODQ0/ft9WIzU0QT5RASFrAi9+IiIiIrMDsJRC5ublITExE\nfHw8fH19kZKSAkdHRxw+fLjL8YWFhUhMTERUVBS8vLwQHR2NSZMmITs72zhm3759CA8Px/Tp0+Hj\n44PZs2dj2LBhyMvLMzmWg4MDVCoVXF1d4erqigEDBphbvtWJn9/4nIQJk6xcCREREZE0mXUGWK/X\nQ6PRICkpybhNEASEhoaivLy8y310Oh2USqXJNqVSiYqKChgMBshkMpSXl2P69OkmY8LCwnDs2DGT\nbVVVVXjmmWegVCoRHByMuXPnwsPDw5y3YFXGi9/GToDg0vlsORERERFZnllngJubm2EwGODq6mqy\n3dXVFVqttst9wsLCcPDgQWg0GgDA+fPncejQIej1ejQ1NQEAtFot1Gq1yX5qtdrkmMHBwUhLS0N6\nejpSUlJQW1uLVatWoa2tzZy3YF0VZ4CqCxAmPmTtSoiIiIgkq0cXwZljxowZaGxsxIoVKyCKItRq\nNRISEpCdnQ2ZrPv5Ozw83Pi1n58fgoKCkJaWhqNHj+KBBx6wROl3nViYD3gOBIaHWrsUIiIiIsky\nKwC7uLhAJpOhsbHRZHtjY2OnM7g3KZVKpKamYunSpdBqtXBzc8P+/fvh5ORkvGju52d7ga7PCv+U\ns7MzBg0ahOrq6luOKSoqQnFxsck2b29vLFq0CCqVyngxXW9pi4wB7puIfja0bMMeKBQKuLu7W7sM\n6iXst7Sw39LCfkvHzRsFZGZmoqamxuS1mJgYxMbG3tHxzQrAcrkcAQEBKC0tRWRkJIAb61rLysow\nZcqUX9xXJpMZf9OWlJQgIiLC+FpISAjKysowdepU47bS0lKEhITc8nhtbW2orq5GfHz8LcfExsbe\n8gNqamqCTqf7xZrvujH3AQBa6+t7d16Jc3d3Rz0/c8lgv6WF/ZYW9ls6FAoFPD09sWjRIosc3+y7\nQEybNg0HDx7EkSNHcOnSJWzatAnt7e1ISEgAAGzfvh1vvfWWcXxVVRUKCwtRXV2NiooKbNiwARcu\nXMCcOXOMY6ZOnYpTp05h7969qKysRFZWFjQaDR5++GHjmG3btuH06dOora3FuXPnsH79esjlcsTE\nxNzB2yciIiIiqTF7DXB0dDSam5uRlZVlfBBGenq6cTmDVqtFXV2dcbzBYDAGW7lcjtGjR2PNmjUm\nd28ICQnBs88+ix07duCjjz7CoEGD8MILL5jcA7iurg4bN25Ec3MzVCoVRowYgYyMDLi48FHCRERE\nRNR9gtjbC2H7iNra2t5fAkFWwR+ZSQv7LS3st7Sw39JxcwmEpZi9BIKIiIiIyJYxABMRERGRpDAA\nExEREZGkMAATERERkaQwABMRERGRpDAAExEREZGkMAATERERkaQwABMRERGRpDAAExEREZGkMAAT\nERERkaQwABMRERGRpDAAExEREZGkMAATERERkaQwABMRERGRpDAAExEREZGkMAATERERkaQwABMR\nERGRpDAAExEREZGkMAATERERkaQwABMRERGRpDAAExEREZGkMAATERERkaQwABMRERGRpDAAExER\nEZGkMAATERERkaQwABMRERGRpDAAExEREZGkMAATERERkaQwABMRERGRpDAAExEREZGkMAATERER\nkaQwABMRERGRpDAAExEREZGkyHuyU15eHnJycqDVauHv74/k5GQEBQX94vj8/HzU1tbC09MTSUlJ\niIuLMxlz9OhRZGVl4fLly/Dx8cHcuXMxduzYO5qXiIiIiOjnzD4DXFJSgm3btmHWrFlYt24dhg4d\nioyMDDQ1NXU5vqCgADt27MDs2bPx2muvYebMmdiyZQtOnDhhHHPu3Dls3LgRkyZNwvr16xEZGYn1\n69fj4sWLPZ6XiIiIiKgrZgfg3NxcJCYmIj4+Hr6+vkhJSYGjoyMOHz7c5fjCwkIkJiYiKioKXl5e\niI6OxqRJk5CdnW0cs2/fPoSHh2P69Onw8fHB7NmzMWzYMOTl5fV4XiIiIiKirpgVgPV6PTQaDUJD\nQ43bBEFAaGgoysvLu9xHp9NBqVSabFMqlaioqIDBYAAAlJeXmxwTAMLCwozH7Mm8RERERERdMSsA\nNzc3w2AwwNXV1WS7q6srtFptl/uEhYXh4MGD0Gg0AIDz58/j0KFD0Ov1xuULWq0WarXaZD+1Wm08\nZk/mJSIiIiLqSo8ugjPHjBkz0NjYiBUrVkAURajVaiQkJCA7OxsymfVuQiGXW/ytUx8hCAIUCoW1\ny6Bewn5LC/stLey3dFg6p5l1dBcXF8hkMjQ2Nppsb2xs7HQG9yalUonU1FQsXboUWq0Wbm5u2L9/\nP5ycnKBSqQCYnu296adnhXsyLwAUFRWhuLjYZNvIkSPxyCOPwM3NrXtvmuyCp6entUugXsR+Swv7\nLS3st7Ts2bMHZ86cMdkWExOD2NjYOzquWQFYLpcjICAApaWliIyMBACIooiysjJMmTLlF/eVyWRw\nd3cHcOOODhEREcbXQkJCUFZWhqlTpxq3lZaWIiQk5I7mjY2N7fID2rNnDx555JFuvmuydZmZmVi0\naJG1y6Bewn5LC/stLey3tNzMa5bIbGavQZg2bRoOHjyII0eO4NKlS9i0aRPa29uRkJAAANi+fTve\neust4/iqqioUFhaiuroaFRUV2LBhAy5cuIA5c+YYx0ydOhWnTp3C3r17UVlZiaysLGg0Gjz88MPd\nntccP/+XBNm3mpoaa5dAvYj9lhb2W1rYb2mxZF4ze4FFdHQ0mpubkZWVZXwgRXp6unE5g1arRV1d\nnXG8wWAwBlu5XI7Ro0djzZo18PDwMI4JCQnBs88+ix07duCjjz7CoEGD8MILL2Dw4MHdnpeIiIiI\nqDt6tMJ48uTJmDx5cpevpaWlmXzv6+uLv/zlL7c9ZlRUFKKiono8LxERERFRd1jvNgxERERERFbg\n8NJLL71k7SKswc/Pz9olUC9iv6WF/ZYW9lta2G9psVS/BVEURYscmYiIiIioD+ISCCIiIiKSFAZg\nIiIiIpIUBmAiIiIikhQGYCIiIiKSlB7dB9hW5eXlIScnx/ggjeTkZAQFBVm7LLpDn3zyCb788ktU\nVlZCqVQiJCQE8+bNg4+Pj8m4nTt34tChQ7h69SqGDx+OlJQUDBw40EpV092ye/dufPTRR5g6dSoW\nLlxo3M5+24/6+np8+OGHOHXqFNrb2zFo0CD8+te/RkBAgHEM+20fDAYDsrKyUFRUBK1WCzc3NyQk\nJGDGjBkm49hv23TmzBns2bMHGo0GWq0WL7zwAiIjI03G3K63Op0O77//Po4ePQqdToewsDAsWbIE\nrq6uZtUimTPAJSUl2LZtG2bNmoV169Zh6NChyMjIQFNTk7VLozt09uxZTJkyBRkZGXjxxRfR0dGB\njIwMXL9+3Thm9+7dyMvLw9KlS7F27Vo4OjoiIyMDer3eipXTnaqoqMCBAwcwdOhQk+3st/24evUq\nXnzxRSgUCqSnp+P111/HggULMGDAAOMY9tt+7N69GwcOHMCSJUuwYcMGzJ8/H3v27EFeXp7JGPbb\nNrW3t8Pf3x9Llizp8vXu9DYzMxMnT57E888/j9WrV6OhoQF/+9vfzK5FMgE4NzcXiYmJiI+Ph6+v\nL1JSUuDo6IjDhw9buzS6Q3/6058QFxeHwYMHw8/PD2lpabhy5Qo0Go1xzL59+zBjxgxERETAz88P\ny5YtQ319Pb788ksrVk53oq2tDW+++SZSU1PRv39/k9fYb/uxe/dueHh4IDU1FQEBAfD09MSYMWPg\n5eVlHMN+24/y8nJERkYiPDwcHh4euP/++zFmzBhUVFQYx7Dftis8PByzZ8/G+PHju3z9dr1t48If\nfwAADRVJREFUbW3F4cOHsXDhQowaNQrDhg1DWloazp07Z/J7pDskEYD1ej00Gg1CQ0ON2wRBQGho\nKMrLy61YGVlCa2srABjPEF2+fBlardak/87OzggODmb/bdjmzZsRERGBe++912Q7+21fjh8/jsDA\nQLz22mtISUnB8uXLcfDgQePr7Ld9GT58OMrKylBVVQUA+P7773Hu3DmMHTsWAPttz7rTW41Gg46O\nDpO/9318fODh4WF2/yWxBri5uRkGg6HT+hBXV1dUVlZaqSqyBFEUkZmZiREjRmDw4MEAAK1WCwBd\n9v/ma2RbiouL8cMPP+DVV1/t9Br7bV9qampQUFCA6dOn4/HHH0dFRQXee+89KBQKxMXFsd925rHH\nHsO1a9fw3HPPQSaTQRRFPPnkk4iJiQHAP9/2rDu91Wq1kMvlcHZ2vuWY7pJEACbp2Lx5My5evIhX\nXnnF2qWQhdTV1SEzMxMvvvgi5HL+FWbvRFFEYGAgnnzySQCAv78/Lly4gP379yMuLs7K1dHdVlJS\ngqKiIjz33HMYPHgwvv/+e2RmZsLd3Z39prtKEv/3cHFxgUwmQ2Njo8n2xsZGqNVqK1VFd9uWLVtw\n8uRJvPzyy3BzczNuv9njn/e7sbER/v7+vV0m3SGNRoOmpiYsX77cuM1gMOD06dPIy8vDhg0bALDf\n9sLNzQ2+vr4m23x9fY1rAvnn27588MEHSEpKwoQJEwAAQ4YMQW1tLT755BPExcWx33asO71Vq9XQ\n6/VobW01OQvckzwniTXAcrkcAQEBKC0tNW4TRRFlZWUYPny4FSuju2XLli04duwYVq1aBQ8PD5PX\nvLy8oFarTfrf2tqKb7/9lv23QaGhofjb3/6G9evXG38FBARg4sSJWL9+Pby9vdlvOzJ8+PBOS9Uq\nKyuNf87559u+XL9+HTKZaTQRBAGiKAJgv+1Zd3obEBAABwcHlJWVGcdUVlbiypUrCAkJMWs+h5de\neumlu1J5H+fk5ISsrCzcc889UCgU2LFjB3744QekpqbC0dHR2uXRHdi8eTOKi4vx+9//Hmq1Gm1t\nbWhra4NMJoODgwOAG2cId+/eDV9fX+j1emzduhV6vR6LFy/u9Jct9W1yuRwqlcrkV3FxMby9vY0/\nImW/7YeHhwc+/vhjyGQyuLm54dSpU/j444/x5JNPws/PDwD7bU8uXbqETz/9FD4+PpDL5fjmm2+w\nY8cOxMbGGi+OYr9tV1tbGy5evAitVosDBw4gKCgISqUSer0ezs7Ot+2tQqFAQ0MD8vLy4O/vj5aW\nFmzatAkeHh6d7hV9O4J4859VEpCfn489e/YYH4SxePFiBAYGWrssukOzZ8/ucntaWhri4+ON32dl\nZeHgwYO4evUqRo4ciaeffpo3TrcTq1evhr+/v8mDMNhv+3HixAls374d1dXV8PLywvTp0/Hggw+a\njGG/7UNbWxt27tyJL7/8Ek1NTXBzc0NsbCxmzJhhPKEBsN+26vTp01i9enWn7fHx8UhLSwNw+97q\ndDps27YNxcXF0Ol0CA8Px9NPP232gzAkFYCJiIiIiPizAiIiIiKSFAZgIiIiIpIUBmAiIiIikhQG\nYCIiIiKSFAZgIiIiIpIUBmAiIiIikhQGYCIiIiKSFAZgIiIiIpIUBmAiIiIikhQGYCIiK/n0008x\ne/ZsaDQaa5dy19jjeyIi+yO3dgFERJby6aef4u9///stX8/IyEBQUFAvVkRERH0BAzAR2b3Zs2fD\ny8ur0/aBAwdaoRoiIrI2BmAisnvh4eEICAiwdhl0F7W3t8PR0dHaZRCRjWIAJiLJq62txbJly7Bg\nwQIIgoB///vfaGxsRFBQEJ5++mkMGTLEZHxZWRmysrLw3XffQS6XY+TIkZg3bx58fX1NxtXX12Pn\nzp04deoUWlpa4ObmhvDwcCQnJ8PBwcE4Tq/X4/3330dhYSHa29sRFhaGZ555Bi4uLr9Y99tvv40v\nvvgCGzZswObNm1FWVgalUon4+HjMnz8fgiAAAE6fPo3Vq1dj1apVGDVqVKf3nZaWhvj4eJNjvvba\na9i8eTNOnz4NZ2dnJCUlYfLkyfjxxx+RmZmJb7/9FiqVCnPmzEFsbGyn2trb2/G///u/+OKLL6DX\n6zF+/HgkJyejf//+JuNOnjyJ3bt3Q6PRQCaTYeTIkZg/fz4GDx7c6X2uX78eW7duxdmzZxEaGoo/\n/OEPv/j5EBHdCi+CIyK719raiubmZpNfLS0tncYdOXIEeXl5mDx5MpKSknDhwgW8/PLLaGpqMo75\n+uuvkZGRgebmZsyaNQvTp09HeXk5Vq5ciStXrhjHNTQ04E9/+hOOHj2KmJgYJCcnIy4uDmfOnEF7\ne7vJvFu2bMGPP/6ImTNnYvLkyTh+/Di2bNly2/clCAJEUURGRgZUKhWeeuopjBo1Cnv37sWBAwd6\n9FndPOarr74KDw8PzJ8/H15eXti6dSs+/fRTrF27FoGBgZg/fz6cnJzw9ttvo7a2ttNxtm7disrK\nSsycORPx8fEoKirCX//6V5Mxn332Gf785z+jX79+mD9/PmbMmIFLly51+iwFQUBHRwcyMjLg6uqK\nBQsW4P777+/R+yMiAngGmIgk4JVXXum0TaFQ4IMPPjDZVl1djTfffBNqtRoAEBYWhvT0dOzevRtP\nPfUUAOCDDz6Ai4sLMjIy4OzsDAAYP348/vu//xtZWVlIS0sDAHz44YdoamrC2rVrMWzYMOMcs2bN\n6lSLSqVCenq68XuDwYB9+/bh2rVrcHJy+sX3dv36dcTExODxxx8HACQmJmL58uU4dOgQfvWrX932\ns7nVMePi4vDoo48CAGJjY/HMM8/gH//4B5577jlERUUBAEJDQ/G73/0OR44cwRNPPGFyDIVCgZUr\nV0Imu3GexcPDAx9++CGOHz+OiIgItLW14b333kNiYiJSUlKM+yUkJOC3v/0t/vWvf2Hp0qXG7Xq9\nHtHR0XjyySd79J6IiH6KAZiI7N6SJUswaNAgk203g9lP3XfffcbwCwBBQUEICgrCyZMn8dRTT0Gr\n1eKHH37Ao48+agy/AODn54cxY8bg5MmTAABRFHHs2DFERESYhN9bSUxMNPl+xIgRyM3NRW1tLfz8\n/G67/8+D7siRI1FYWHjb/X7Jgw8+aPza2dkZPj4+qK6uNoZfAPDx8YGzszNqamo67Z+YmGjyGT/0\n0EP46KOPcPLkSURERODrr79Ga2srYmJi0NzcbLJvUFAQvvnmm07H7GmgJyL6OQZgIrJ7gYGB3boI\nrqu7QgwaNAiff/45ABh/1O/j49NpnK+vL7766itcv34d165dw7Vr1zqtHb6Ve+65x+T7AQMGAACu\nXr16232VSmWntcL9+/fvcolHd3V1TGdn50513tzeVZ0//yz79esHNzc342dYXV0NAFi9enWXNfz0\nHxgA4ODg0OX8REQ9wQBMRGRlXZ2NBm6cSe7pvt1hMBjMOuad1HmruX/zm9+YnHW/1VwKhcLsOYiI\nboUBmIjo/1RVVXW5zdPTEwCM/62srOw0rrKyEiqVCkqlEgqFAk5OTrhw4YJlC+6mm2eUW1tbTbZ3\ndfHa3VJVVWVyx4m2tjY0NDRg3LhxAP7/GWKVSoV7773XYnUQEXWFd4EgIvo///nPf1BfX2/8vqKi\nAhUVFRg7diwAQK1Ww9/fH0eOHDEJkz/++CO++uor4zhBEDB+/HgcP368TzwS2MPDAzKZDKdPnzbZ\nnp+fb7E5Dxw4gI6ODuP3BQUFMBgMxs8oLCwMTk5O+OSTT0zG3fTTO28QEd1tPANMRHbv5MmTuHTp\nUqftw4cPN3lC3MCBA7Fy5Uo89NBDuH79Ovbt2weVSoVHHnnEOGb+/Pl49dVXkZ6ejgcffBDt7e3I\nz89H//79MXPmTOO4OXPm4Ouvv8aqVauQmJgIX19fNDQ04PPPP8crr7zSaY2rJTk7OyMqKgr79u0z\nvs/jx49bNGTq9Xq8/PLLmDBhAiorK1FQUICRI0ciIiICAODk5IQlS5bg7bffxvLlyxEdHQ2VSoUr\nV67g5MmTGD58OBYvXmyx+ohI2hiAicjuZWVldbk9LS3NJADHx8ebPAgjODgYycnJJmtUQ0ND8T//\n8z/YtWsXsrKyIJfLMWrUKMybN8+4RAIA3N3dsXbtWuzcuRNFRUW4du0a3N3dMXbs2F55gtnNh2Dc\ntHjxYnR0dODAgQNQKBSYMGECFixYgOeff77Hx7y5ravtTz/9NAoLC7Fr1y7o9XrExsYiOTnZZExs\nbCzc3d2RnZ2NnJwc6PV6uLu7Y8SIEXjggQe6XRcRkbkEsSdXLxAR2ZGfPglu+vTp1i6HiIgsjGuA\niYiIiEhSGICJiIiISFIYgImIiIhIUrgGmIiIiIgkhWeAiYiIiEhSGICJiIiISFIYgImIiIhIUhiA\niYiIiEhSGICJiIiISFIYgImIiIhIUhiAiYiIiEhSGICJiIiISFIYgImIiIhIUv4fSyYAKowLEp4A\nAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Set training run hyperparameters\n",
+ "batch_size = 100 # number of data points in a batch\n",
+ "init_scale = 0.1 # scale for random parameter initialisation\n",
+ "learning_rate = 0.05 # learning rate for gradient descent\n",
+ "num_epochs = 100 # number of training epochs to perform\n",
+ "stats_interval = 5 # epoch interval between recording and printing stats\n",
+ "\n",
+ "# Reset random number generator and data provider states on each run\n",
+ "# to ensure reproducibility of results\n",
+ "rng.seed(seed)\n",
+ "train_data.reset()\n",
+ "valid_data.reset()\n",
+ "\n",
+ "# Alter data-provider batch size\n",
+ "train_data.batch_size = batch_size \n",
+ "valid_data.batch_size = batch_size\n",
+ "\n",
+ "# Create a parameter initialiser which will sample random uniform values\n",
+ "# from [-init_scale, init_scale]\n",
+ "param_init = UniformInit(-init_scale, init_scale, rng=rng)\n",
+ "\n",
+ "# Create affine + softmax model\n",
+ "model = MultipleLayerModel([\n",
+ " AffineLayer(input_dim, output_dim, param_init, param_init),\n",
+ " SoftmaxLayer()\n",
+ "])\n",
+ "\n",
+ "# Initialise a cross entropy error object\n",
+ "error = CrossEntropyError()\n",
+ "\n",
+ "# Use a basic gradient descent learning rule\n",
+ "learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n",
+ "\n",
+ "_ = train_model_and_plot_stats(\n",
+ " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### `learning_rate = 0.1`"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "Epoch 5: 0.21s to complete\n",
+ " error(train)=3.11e-01, acc(train)=9.13e-01, error(valid)=2.92e-01, acc(valid)=9.18e-01\n",
+ "Epoch 10: 0.21s to complete\n",
+ " error(train)=2.89e-01, acc(train)=9.20e-01, error(valid)=2.77e-01, acc(valid)=9.23e-01\n",
+ "Epoch 15: 0.22s to complete\n",
+ " error(train)=2.79e-01, acc(train)=9.22e-01, error(valid)=2.70e-01, acc(valid)=9.24e-01\n",
+ "Epoch 20: 0.21s to complete\n",
+ " error(train)=2.72e-01, acc(train)=9.24e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n",
+ "Epoch 25: 0.21s to complete\n",
+ " error(train)=2.68e-01, acc(train)=9.25e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n",
+ "Epoch 30: 0.22s to complete\n",
+ " error(train)=2.63e-01, acc(train)=9.27e-01, error(valid)=2.62e-01, acc(valid)=9.26e-01\n",
+ "Epoch 35: 0.22s to complete\n",
+ " error(train)=2.60e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n",
+ "Epoch 40: 0.21s to complete\n",
+ " error(train)=2.59e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n",
+ "Epoch 45: 0.22s to complete\n",
+ " error(train)=2.55e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n",
+ "Epoch 50: 0.21s to complete\n",
+ " error(train)=2.54e-01, acc(train)=9.30e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n",
+ "Epoch 55: 0.25s to complete\n",
+ " error(train)=2.52e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n",
+ "Epoch 60: 0.22s to complete\n",
+ " error(train)=2.52e-01, acc(train)=9.29e-01, error(valid)=2.60e-01, acc(valid)=9.29e-01\n",
+ "Epoch 65: 0.22s to complete\n",
+ " error(train)=2.50e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 70: 0.21s to complete\n",
+ " error(train)=2.49e-01, acc(train)=9.31e-01, error(valid)=2.59e-01, acc(valid)=9.31e-01\n",
+ "Epoch 75: 0.23s to complete\n",
+ " error(train)=2.47e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 80: 0.48s to complete\n",
+ " error(train)=2.46e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.31e-01\n",
+ "Epoch 85: 0.22s to complete\n",
+ " error(train)=2.45e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.31e-01\n",
+ "Epoch 90: 0.21s to complete\n",
+ " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 95: 0.21s to complete\n",
+ " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 100: 0.22s to complete\n",
+ " error(train)=2.43e-01, acc(train)=9.33e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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pVoOKW7PZjNzcXERFRVmOCSEQFRWFo0eP1quPkydP4tixY+jSpUvDIrVzooUnENULyp5t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\nnyc9XHLJJTQ0NLB48eLgTRxmz54dnEPr8Xg4cuRIsP7q1asJBAIsXLi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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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llztYf8TG2iM2TpQ7aKnU4ms2EOVvItLfTKSfmUh/M1H+ZiJrtvlbpDe+MZnN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\nVlampKQkjR07Vu3bt3frv3v3buXm5upf//qXAgIC1K1bNz3wwAOKi4t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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Set training run hyperparameters\n",
+ "batch_size = 100 # number of data points in a batch\n",
+ "init_scale = 0.1 # scale for random parameter initialisation\n",
+ "learning_rate = 0.1 # learning rate for gradient descent\n",
+ "num_epochs = 100 # number of training epochs to perform\n",
+ "stats_interval = 5 # epoch interval between recording and printing stats\n",
+ "\n",
+ "# Reset random number generator and data provider states on each run\n",
+ "# to ensure reproducibility of results\n",
+ "rng.seed(seed)\n",
+ "train_data.reset()\n",
+ "valid_data.reset()\n",
+ "\n",
+ "# Alter data-provider batch size\n",
+ "train_data.batch_size = batch_size \n",
+ "valid_data.batch_size = batch_size\n",
+ "\n",
+ "# Create a parameter initialiser which will sample random uniform values\n",
+ "# from [-init_scale, init_scale]\n",
+ "param_init = UniformInit(-init_scale, init_scale, rng=rng)\n",
+ "\n",
+ "# Create affine + softmax model\n",
+ "model = MultipleLayerModel([\n",
+ " AffineLayer(input_dim, output_dim, param_init, param_init),\n",
+ " SoftmaxLayer()\n",
+ "])\n",
+ "\n",
+ "# Initialise a cross entropy error object\n",
+ "error = CrossEntropyError()\n",
+ "\n",
+ "# Use a basic gradient descent learning rule\n",
+ "learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n",
+ "\n",
+ "_ = train_model_and_plot_stats(\n",
+ " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### `learning_rate = 0.2`"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "Epoch 5: 0.21s to complete\n",
+ " error(train)=2.90e-01, acc(train)=9.19e-01, error(valid)=2.77e-01, acc(valid)=9.22e-01\n",
+ "Epoch 10: 0.22s to complete\n",
+ " error(train)=2.75e-01, acc(train)=9.23e-01, error(valid)=2.69e-01, acc(valid)=9.25e-01\n",
+ "Epoch 15: 0.21s to complete\n",
+ " error(train)=2.66e-01, acc(train)=9.26e-01, error(valid)=2.64e-01, acc(valid)=9.26e-01\n",
+ "Epoch 20: 0.21s to complete\n",
+ " error(train)=2.60e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n",
+ "Epoch 25: 0.22s to complete\n",
+ " error(train)=2.57e-01, acc(train)=9.28e-01, error(valid)=2.64e-01, acc(valid)=9.27e-01\n",
+ "Epoch 30: 0.22s to complete\n",
+ " error(train)=2.53e-01, acc(train)=9.29e-01, error(valid)=2.61e-01, acc(valid)=9.30e-01\n",
+ "Epoch 35: 0.22s to complete\n",
+ " error(train)=2.50e-01, acc(train)=9.30e-01, error(valid)=2.60e-01, acc(valid)=9.30e-01\n",
+ "Epoch 40: 0.21s to complete\n",
+ " error(train)=2.49e-01, acc(train)=9.31e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n",
+ "Epoch 45: 0.21s to complete\n",
+ " error(train)=2.45e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 50: 0.22s to complete\n",
+ " error(train)=2.45e-01, acc(train)=9.32e-01, error(valid)=2.60e-01, acc(valid)=9.31e-01\n",
+ "Epoch 55: 0.22s to complete\n",
+ " error(train)=2.43e-01, acc(train)=9.32e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n",
+ "Epoch 60: 0.22s to complete\n",
+ " error(train)=2.44e-01, acc(train)=9.31e-01, error(valid)=2.63e-01, acc(valid)=9.29e-01\n",
+ "Epoch 65: 0.22s to complete\n",
+ " error(train)=2.41e-01, acc(train)=9.34e-01, error(valid)=2.60e-01, acc(valid)=9.30e-01\n",
+ "Epoch 70: 0.22s to complete\n",
+ " error(train)=2.40e-01, acc(train)=9.34e-01, error(valid)=2.62e-01, acc(valid)=9.29e-01\n",
+ "Epoch 75: 0.22s to complete\n",
+ " error(train)=2.38e-01, acc(train)=9.34e-01, error(valid)=2.60e-01, acc(valid)=9.30e-01\n",
+ "Epoch 80: 0.22s to complete\n",
+ " error(train)=2.38e-01, acc(train)=9.33e-01, error(valid)=2.62e-01, acc(valid)=9.29e-01\n",
+ "Epoch 85: 0.22s to complete\n",
+ " error(train)=2.36e-01, acc(train)=9.35e-01, error(valid)=2.61e-01, acc(valid)=9.30e-01\n",
+ "Epoch 90: 0.22s to complete\n",
+ " error(train)=2.36e-01, acc(train)=9.34e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n",
+ "Epoch 95: 0.22s to complete\n",
+ " error(train)=2.37e-01, acc(train)=9.34e-01, error(valid)=2.63e-01, acc(valid)=9.29e-01\n",
+ "Epoch 100: 0.22s to complete\n",
+ " error(train)=2.35e-01, acc(train)=9.35e-01, error(valid)=2.63e-01, acc(valid)=9.29e-01\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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dsWDBAixcuBB33HEHFi5ciLNnzzrKZGVlYfXq1ZgyZQqWLFmCOXPmYM+ePViz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\nZWUxffp07rvvvjPOyBpjaNq0KQCtW7dm7969zJ0796zhNjMzk6ysLJ+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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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fTm5uLs2bN6dDhw5l7gsMDOTTTz8lPDycmTNn8v777zNgwIBK1/+9Ohhf/f+2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\noUOHtst1k5OTL/oCVVZWqqGh4ZefcCdxbVwn9YlVVexQGWV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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Set training run hyperparameters\n",
+ "batch_size = 100 # number of data points in a batch\n",
+ "init_scale = 0.1 # scale for random parameter initialisation\n",
+ "learning_rate = 0.2 # learning rate for gradient descent\n",
+ "num_epochs = 100 # number of training epochs to perform\n",
+ "stats_interval = 5 # epoch interval between recording and printing stats\n",
+ "\n",
+ "# Reset random number generator and data provider states on each run\n",
+ "# to ensure reproducibility of results\n",
+ "rng.seed(seed)\n",
+ "train_data.reset()\n",
+ "valid_data.reset()\n",
+ "\n",
+ "# Alter data-provider batch size\n",
+ "train_data.batch_size = batch_size \n",
+ "valid_data.batch_size = batch_size\n",
+ "\n",
+ "# Create a parameter initialiser which will sample random uniform values\n",
+ "# from [-init_scale, init_scale]\n",
+ "param_init = UniformInit(-init_scale, init_scale, rng=rng)\n",
+ "\n",
+ "# Create affine + softmax model\n",
+ "model = MultipleLayerModel([\n",
+ " AffineLayer(input_dim, output_dim, param_init, param_init),\n",
+ " SoftmaxLayer()\n",
+ "])\n",
+ "\n",
+ "# Initialise a cross entropy error object\n",
+ "error = CrossEntropyError()\n",
+ "\n",
+ "# Use a basic gradient descent learning rule\n",
+ "learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n",
+ "\n",
+ "_ = train_model_and_plot_stats(\n",
+ " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### `learning_rate = 0.5`"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "Epoch 5: 0.21s to complete\n",
+ " error(train)=2.79e-01, acc(train)=9.20e-01, error(valid)=2.74e-01, acc(valid)=9.23e-01\n",
+ "Epoch 10: 0.22s to complete\n",
+ " error(train)=2.68e-01, acc(train)=9.24e-01, error(valid)=2.72e-01, acc(valid)=9.26e-01\n",
+ "Epoch 15: 0.22s to complete\n",
+ " error(train)=2.55e-01, acc(train)=9.28e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n",
+ "Epoch 20: 0.22s to complete\n",
+ " error(train)=2.49e-01, acc(train)=9.31e-01, error(valid)=2.61e-01, acc(valid)=9.29e-01\n",
+ "Epoch 25: 0.22s to complete\n",
+ " error(train)=2.52e-01, acc(train)=9.29e-01, error(valid)=2.73e-01, acc(valid)=9.25e-01\n",
+ "Epoch 30: 0.22s to complete\n",
+ " error(train)=2.47e-01, acc(train)=9.31e-01, error(valid)=2.70e-01, acc(valid)=9.27e-01\n",
+ "Epoch 35: 0.21s to complete\n",
+ " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.69e-01, acc(valid)=9.27e-01\n",
+ "Epoch 40: 0.22s to complete\n",
+ " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.72e-01, acc(valid)=9.26e-01\n",
+ "Epoch 45: 0.22s to complete\n",
+ " error(train)=2.36e-01, acc(train)=9.35e-01, error(valid)=2.66e-01, acc(valid)=9.29e-01\n",
+ "Epoch 50: 0.22s to complete\n",
+ " error(train)=2.38e-01, acc(train)=9.33e-01, error(valid)=2.69e-01, acc(valid)=9.28e-01\n",
+ "Epoch 55: 0.22s to complete\n",
+ " error(train)=2.36e-01, acc(train)=9.34e-01, error(valid)=2.68e-01, acc(valid)=9.26e-01\n",
+ "Epoch 60: 0.22s to complete\n",
+ " error(train)=2.46e-01, acc(train)=9.29e-01, error(valid)=2.81e-01, acc(valid)=9.22e-01\n",
+ "Epoch 65: 0.21s to complete\n",
+ " error(train)=2.33e-01, acc(train)=9.35e-01, error(valid)=2.70e-01, acc(valid)=9.28e-01\n",
+ "Epoch 70: 0.21s to complete\n",
+ " error(train)=2.35e-01, acc(train)=9.36e-01, error(valid)=2.75e-01, acc(valid)=9.27e-01\n",
+ "Epoch 75: 0.22s to complete\n",
+ " error(train)=2.31e-01, acc(train)=9.36e-01, error(valid)=2.70e-01, acc(valid)=9.26e-01\n",
+ "Epoch 80: 0.21s to complete\n",
+ " error(train)=2.35e-01, acc(train)=9.34e-01, error(valid)=2.76e-01, acc(valid)=9.25e-01\n",
+ "Epoch 85: 0.21s to complete\n",
+ " error(train)=2.32e-01, acc(train)=9.35e-01, error(valid)=2.75e-01, acc(valid)=9.26e-01\n",
+ "Epoch 90: 0.22s to complete\n",
+ " error(train)=2.29e-01, acc(train)=9.37e-01, error(valid)=2.74e-01, acc(valid)=9.26e-01\n",
+ "Epoch 95: 0.21s to complete\n",
+ " error(train)=2.31e-01, acc(train)=9.35e-01, error(valid)=2.76e-01, acc(valid)=9.27e-01\n",
+ "Epoch 100: 0.25s to complete\n",
+ " error(train)=2.31e-01, acc(train)=9.36e-01, error(valid)=2.77e-01, acc(valid)=9.27e-01\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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767MoPs0va5XV2hrn0T1Wyb6SOkL89MwelcAF4e1zI0dX0VHf9D/dV87CHcU8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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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g+Pj4O7ZfEH65bKVLly58++23lChRgtq1a3Pw4EF27dqV5TU/9dRTrF+/nnHj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\ncnJuGmkAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Set training run hyperparameters\n",
+ "batch_size = 100 # number of data points in a batch\n",
+ "init_scale = 0.1 # scale for random parameter initialisation\n",
+ "learning_rate = 0.5 # learning rate for gradient descent\n",
+ "num_epochs = 100 # number of training epochs to perform\n",
+ "stats_interval = 5 # epoch interval between recording and printing stats\n",
+ "\n",
+ "# Reset random number generator and data provider states on each run\n",
+ "# to ensure reproducibility of results\n",
+ "rng.seed(seed)\n",
+ "train_data.reset()\n",
+ "valid_data.reset()\n",
+ "\n",
+ "# Alter data-provider batch size\n",
+ "train_data.batch_size = batch_size \n",
+ "valid_data.batch_size = batch_size\n",
+ "\n",
+ "# Create a parameter initialiser which will sample random uniform values\n",
+ "# from [-init_scale, init_scale]\n",
+ "param_init = UniformInit(-init_scale, init_scale, rng=rng)\n",
+ "\n",
+ "# Create affine + softmax model\n",
+ "model = MultipleLayerModel([\n",
+ " AffineLayer(input_dim, output_dim, param_init, param_init),\n",
+ " SoftmaxLayer()\n",
+ "])\n",
+ "\n",
+ "# Initialise a cross entropy error object\n",
+ "error = CrossEntropyError()\n",
+ "\n",
+ "# Use a basic gradient descent learning rule\n",
+ "learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n",
+ "\n",
+ "_ = train_model_and_plot_stats(\n",
+ " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "|`learning_rate`| Final `error(train)` | Final `error(valid)` |\n",
+ "|---------------|----------------------|----------------------|\n",
+ "| 0.05 | $2.53\\times 10^{-1}$ | $2.59\\times 10^{-1}$|\n",
+ "| 0.1 | $2.43\\times 10^{-1}$ | $2.59\\times 10^{-1}$|\n",
+ "| 0.2 | $2.35\\times 10^{-1}$ | $2.63\\times 10^{-1}$|\n",
+ "| 0.5 | $2.31\\times 10^{-1}$ | $2.77\\times 10^{-1}$|\n",
+ "\n",
+ "\n",
+ "Increasing the learning rate, as would be expected, increase the speed of learning, with the final training error reached monotonically decreasing over the learning rates tested as the learning rate was increased. Note however the validation set error increases for larger learning rates - this suggests the model is overfitting to the data, with the larger learning rates causing the model to begin overfitting sooner - we could have afforded to halt learning earlier in these cases when there was no further improvement in the validation set error. Notice also the error curves for the largest learning rate value are much more noisy suggesting learning is becoming quite unstable with this large a step size, with a lot of the gradient descent steps overshooting and causing the error function value to increase.\n",
+ ""
+ ]
+ },
{
"cell_type": "markdown",
"metadata": {},
@@ -369,11 +1213,78 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 10,
"metadata": {
"collapsed": false
},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "Epoch 5: 0.19s to complete\n",
+ " error(train)=3.11e-01, acc(train)=9.13e-01, error(valid)=2.92e-01, acc(valid)=9.18e-01\n",
+ "Epoch 10: 0.20s to complete\n",
+ " error(train)=2.89e-01, acc(train)=9.20e-01, error(valid)=2.77e-01, acc(valid)=9.23e-01\n",
+ "Epoch 15: 0.20s to complete\n",
+ " error(train)=2.79e-01, acc(train)=9.22e-01, error(valid)=2.70e-01, acc(valid)=9.24e-01\n",
+ "Epoch 20: 0.19s to complete\n",
+ " error(train)=2.72e-01, acc(train)=9.24e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n",
+ "Epoch 25: 0.19s to complete\n",
+ " error(train)=2.68e-01, acc(train)=9.25e-01, error(valid)=2.66e-01, acc(valid)=9.26e-01\n",
+ "Epoch 30: 0.20s to complete\n",
+ " error(train)=2.63e-01, acc(train)=9.27e-01, error(valid)=2.62e-01, acc(valid)=9.26e-01\n",
+ "Epoch 35: 0.20s to complete\n",
+ " error(train)=2.60e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n",
+ "Epoch 40: 0.19s to complete\n",
+ " error(train)=2.59e-01, acc(train)=9.28e-01, error(valid)=2.61e-01, acc(valid)=9.28e-01\n",
+ "Epoch 45: 0.20s to complete\n",
+ " error(train)=2.55e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n",
+ "Epoch 50: 0.20s to complete\n",
+ " error(train)=2.54e-01, acc(train)=9.30e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n",
+ "Epoch 55: 0.19s to complete\n",
+ " error(train)=2.52e-01, acc(train)=9.29e-01, error(valid)=2.59e-01, acc(valid)=9.30e-01\n",
+ "Epoch 60: 0.19s to complete\n",
+ " error(train)=2.52e-01, acc(train)=9.29e-01, error(valid)=2.60e-01, acc(valid)=9.29e-01\n",
+ "Epoch 65: 0.20s to complete\n",
+ " error(train)=2.50e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 70: 0.19s to complete\n",
+ " error(train)=2.49e-01, acc(train)=9.31e-01, error(valid)=2.59e-01, acc(valid)=9.31e-01\n",
+ "Epoch 75: 0.19s to complete\n",
+ " error(train)=2.47e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 80: 0.20s to complete\n",
+ " error(train)=2.46e-01, acc(train)=9.31e-01, error(valid)=2.58e-01, acc(valid)=9.31e-01\n",
+ "Epoch 85: 0.19s to complete\n",
+ " error(train)=2.45e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.31e-01\n",
+ "Epoch 90: 0.19s to complete\n",
+ " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 95: 0.20s to complete\n",
+ " error(train)=2.44e-01, acc(train)=9.32e-01, error(valid)=2.58e-01, acc(valid)=9.30e-01\n",
+ "Epoch 100: 0.20s to complete\n",
+ " error(train)=2.43e-01, acc(train)=9.33e-01, error(valid)=2.59e-01, acc(valid)=9.29e-01\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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pVoOKW7PZjNzcXERFRVmOCSEQFRWFo0eP1quPkydP4tixY+jSpUvDIrVzooUnENULyp5t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\nnyc9XHLJJTQ0NLB48eLgTRxmz54dnEPr8Xg4cuRIsP7q1asJBAIsXLi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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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llztYf8TG2iM2TpQ7aKnU4ms2EOVvItLfTKSfmUh/M1H+ZiJrtvlbpDe+MZnN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\nRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"# Set training run hyperparameters\n",
"batch_size = 100 # number of data points in a batch\n",
@@ -411,6 +1322,19 @@
" model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "This gives exactly the same training curves (and error / accuracy values over training) as the two runs with equivalent parameters above (second `init_scale` experiment and second `learning_rate` experiment).\n",
+ "\n",
+ "\n",
+ "\n",
+ "The times per epoch seems to be slightly lower on average (0.20s compared to 0.22s) suggesting the reformulation gives a small efficiency gain (though this will become less apparent in deeper architectures as the benefit only applies to the final layer).\n",
+ ""
+ ]
+ },
{
"cell_type": "markdown",
"metadata": {},
@@ -443,6 +1367,18 @@
"You may wish to start with shorter pilot training runs (by decreasing the number of training epochs) for each of the model architectures to get an initial idea of appropriate hyperparameter settings before doing one or two longer training runs to assess the final performance of the architectures."
]
},
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "# disable logging by setting handler to dummy object\n",
+ "logger.handlers = [logging.NullHandler()]"
+ ]
+ },
{
"cell_type": "markdown",
"metadata": {},
@@ -452,12 +1388,249 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 12,
"metadata": {
"collapsed": false
},
- "outputs": [],
- "source": []
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=0.10\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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xxzFjxoxa3+9G/890Oh0CAwMbqsTrcOa2Afm6azGwtQEbTuTAXG77nkHqPQg4dwrKpev3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\nlm6JmP4EEBoB+b2/QUk/Xe0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Qr4s4bN68GUlJSdaLODz44INo06YNAGDBggXIzMzE3/72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\nUeEziMKtiIiIhBzjdEFSb/vBCUKwb7OM6kp7Vzj/8yo4XIl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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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O9957D7vd7rJu9OjRvPbaa2zYsKHGyThGjx7Npk2beP/993nooYeqLWMymejZ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\n20ZsbCz+/v58/PHHrFy5kvT0dNeNRup3z9XY2MjBgwex2Wxs2rSJxMR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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 1.87e-02\n",
+ " final error(valid) = 7.73e-02\n",
+ " final acc(train) = 9.98e-01\n",
+ " final acc(valid) = 9.76e-01\n",
+ " run time per epoch = 0.80s\n",
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=0.20\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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3nmP71NRUzJ07F/fddx/at28Pi8UCi8WCwsJCxzYjRozAr7/+iu+//x5nzpxB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\nKxRXV7YMxQA22ymjwNbDOPV1U1gOdEBAoBWiezqgZyAEBlr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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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+QrSF8nmNJWp/yIE9OcZjUb6xMzIK0gegTfqpEWj7DkCLaXkWDyGEEM2TcNuN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\nZeLEiQAkJyezf/9+li9fTlZWlperk462Zs0aVq9ezT333ENiYiJ79ux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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 1.85e-02\n",
+ " final error(valid) = 7.47e-02\n",
+ " final acc(train) = 9.98e-01\n",
+ " final acc(valid) = 9.78e-01\n",
+ " run time per epoch = 0.81s\n",
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=0.50\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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Vq1ahZcuW+Nvf/obg4ODavj6nN6x9E6z9/RJW/1mAv9zSBzJpK+TQeyAUjaNL\nIyIiImpwePtdJ/D1b5lY+Ws6lnQBAt9+BspfX4Lo1M3RZTUI/LWla2F/uxb2d93w9/d3ynm3iqJA\nVVVHl0F2oqpqpateOeXtd8m+hrZvgv8eycLqXB9MbxUGNXELNAy3RERUB5x1mU1+mCF7cb6Pbi7I\nQ6tgzE0B2HYiG2k9hwG/7oPMvuTosoiIiIgaHIZbJ3FnO3/4uWuw2qsjoGggd29zdElEREREDQ7D\nrZNwLxu93ZFagPO3DIJM3ALJuUdERERE1cJw60QGt/OHv4cW8S3jgPQ04OghR5dERERE1KAw3DoR\nN42CsZ0CkJglcCasM+TOzY4uiYiIiKhBYbh1MoPa+MHgqUV8h5GQP++FzM2+8ZOIiIiICADDrdPR\nlY3e7jLpccq7OeTu7x1dEhEREVGDwXDrhAZE+CPQW4v4zmNLLyxrfPfZICIiIqoTDLdOSKcRGNep\nKfZog3AyTwWO/ebokoiIiIgaBIZbJ3V7hB+a++gQ334ELywjIiIiqiKGWyelVQQmRDfFj/q2+PNo\nCmRejqNLIiIiInJ6DLdOrG+4HkHeGnwV2h9y73ZHl0NERETk9BhunZhGERjfpRn2B0Th2L5feGEZ\nERER0Q0w3Dq5PmF6BLur+MqnC3D8iKPLISIiInJqDLdOTqMITOjWCgcCOuBI4j5Hl0NERETk1Bhu\nG4De4XqEKEX4Mr8pZH6eo8shIiIicloMtw2AIgTujWmGX5u0xW+Jex1dDhEREZHTYrhtIHp2aInw\nEiNWpYIXlhERERFVguG2gVCEwL0RHkj2CsahX446uhwiIiIip8Rw24Dc2rMTIgrSsOq3Sxy9JSIi\nIqoAw20Domi0mBBQgMOiCX49fcnR5RARERE5HYbbBuaWvregbU4qVu07zdFbIiIiomsw3DYwSkAg\nJoiT+L3YAz+fz3d0OUREREROheG2AerWIwbts1Pwxf/OcPSWiIiI6CoMtw2QiO6GCel78Ece8NM5\njt4SERERXcZw2wAJjQZdukSiY04KPv/lIkdviYiIiMow3DZQSp9BmHBiM04Yi7HvDG/JS0RERAQw\n3DZYIqAZOgX7oVPROaw6lAGVo7dEREREDLcNmdJnMCYc+S9OXjJhb2quo8shIiIicjiG24as8y3o\nKI3ogiws/+kizucWO7oiIiIiIodiuG3AhFYL0XsgZvz8KdwUgWe3nELKpSJHl0VERETkMAy3DZyI\nHYSm2ecWGkbsAAAgAElEQVTxiuE0DJ5azPnuNI6kFzi6LCIiIiKHYLht4ESzlkBUF/h9/1/8q18Q\nwv3d8eK2VBw4xxUUiIiIyPUw3DYCyt33A+dPw2tzPF66PQRdWnjhlR/OIOlUjqNLIyIiIqpXDLeN\ngGgdCTFyIuTG1XD7MxnPxgWjd6geryedw+Y/jI4uj4iIiKjeMNw2EuLO0UBkJ6jL34KmIBcze7XE\n0Eh/LNmXhjW/ZTq6PCIiIqJ6wXDbSAhFA+XBp4BiE9TP3oUAMK17c4yPDsBnv6Tj0595m14iIiJq\n/BhuGxFhaApl8hPAz3shEzdDCIGJnQPxULdm+PpwFhb/mIYSlQGXiIiIGi+towsg+xJde0LE3Qn5\n1YeQ7W6CaBmCkR0M8HHT4J2951FgVvFUr5bQafi5hoiIiBofJpxGSIx7CDA0g7rsdUhz6V3L+kf4\n4e99WuHHM3mY98NZFFlUB1dJREREZH8Mt42QcHeHMu1pIC0V8uvPrNt7hPjipduD8Xt6IV7clopc\nU4kDqyQiIiKyP4bbRkqERkCMmQz53TrIQz9Zt3du4Y15A0NwLrcYz289jaxCiwOrJCIiIrIvhttG\nTPQfAXTqCvXjtyFzLlm3twvwxL8HhSKvuATPbTmFtNxiB1ZJREREZD8Mt42YUBQoU/8KAFA/Xgip\nXplnG+rnjlfvCIMQwLNbT+OU0eSoMomIiIjshuG2kRP6JlAenAkkH4D8fr3NvmY+Orw6KAz+HhrM\n2XoKRzMKHVQlERERkX0w3LoA0akbxMCRkGs+hTx9wmafv6cW8waGItTPHS9uO41fzuc7qEoiIiKi\n2mO4dRFi9GSgRQjUD16HNNlOQfBx0+Af/UNwUzMv/GtHKnafznFQlURERES1w3DrIoROB+WRp4Gs\ni5DxH5bb765V8FxcMHqG+GJB0jls/dPogCqJiIiIaofh1oWIliEQ4x+G3LkZ8sDucvt1GoGnegXh\njrb+ePfHNHxzONMBVRIRERHVHG+/62JEn8GQyQegfvoulPBICENTm/0aReAvtzSHr5sGn/ycjrxi\nFZO6NIUQwkEVExEREVVdjcLtpk2bsH79ehiNRoSHh2Pq1Klo27ZthccajUZ89tlnOH78ONLS0jB0\n6FBMnjzZ5pgdO3bgvffes9mm0+mwcuXKmpRH1yGEgPLA41D/+VeoH70FZdbLEIqm3DGTYgLh467g\n4wPpyDWV4NFbmkOjMOASERGRc6t2uN29ezdWrFiBRx55BG3btkVCQgJeeeUVLFy4EHq9vtzxZrMZ\ner0eY8aMQUJCQqXtenl5YeHChZBSAgBHCuuQ8NFDeXgW1DfmQm5cAzFsXIXH3RUVAB83DRb/mIZ8\ncwlm9gyCTsN+ISIiIudV7Tm3CQkJGDhwIPr27YtWrVph2rRpcHd3x/bt2ys8PjAwEFOmTEFcXBy8\nvLyu27Zer4efnx/8/PwqDMpkP6J9NMSQeyDXfQF54milxw1s449nYlthb2oe/v3DGZgsaqXHEhER\nETlatcKtxWLBiRMnEB0dbd0mhEB0dDSOHTtWq0KKioowY8YMTJ8+Ha+99hrOnDlTq/boxsSIe4Gw\ntlA/fAOysKDS43qG+uKFfsE4nF6Al75PRV5xST1WSURERFR11Qq3ubm5UFUVfn5+Ntv9/PxgNNZ8\n6aigoCBMnz4dzzzzDJ588klIKTF37lxkZWXVuE26MaHVQnl4NpCbDfnF0useG9PSGy8PCEVqtglz\nvzsNY6GlnqokIiIiqjqnWAosMjIScXFxCAsLQ1RUFJ5++mno9Xp89913ji6t0RPNWkLc9xfIvduh\n7t1x3WPbN/XEvweFwVhUgme3nsKFvOL6KZKIiIioiqp1QZmvry8URUF2drbN9uzsbPj7+9utKI1G\ng/DwcKSlpVV6TFJSEnbt2mWzrXnz5pgyZQr0er31wjSqgqFjkPPHbyj+4n34db0NmhatKj3UYADe\nD2iCWWsPY853Z/DmXR3R2nD9udR1SafTwWAwOOz8VL/Y366F/e1a2N+u4/KiAZ988gkuXLhgs693\n796IjY2tVfvVCrdarRYRERE4dOgQunfvDgCQUiI5ORlDhgypVSFXU1UVqampuPnmmys9JjY2ttIX\nn5OTA7PZbLd6XIEcMxXy8K/Iev0FKM+8CqGt/J+GB4B5A4Lxj+9TMeM/B/Hi7SGIbOpZf8VexWAw\ncPqKC2F/uxb2t2thf7sOnU5nXXCgLlR7WsKwYcOwbds2/PDDDzh79iw++OADmEwm9OvXDwDwxRdf\n4N1337V5TkpKClJSUlBUVIScnBykpKTYXDC2evVqHDx4EBcvXsTJkyexaNEiZGRkYMCAAbV7dVRl\nwsu7dP7tqT8hv/3yhscbPLX498BQtNK747mtp/HN4UyUqBwtJyIiIseq9jq3vXr1Qm5uLuLj4603\ncXj++eetS3cZjUZkZtretvXvf/+79fsTJ04gKSkJgYGB1hCcn5+PpUuXwmg0wsfHB61bt8a8efPQ\nqlXlvx4n+xNtOkCMnAi59nPIqBiI9p2ue7yPuwb/GhiCz3/NwKc/p2P/2Tz8tWcQmvno6qliIiIi\nIltCNsLJqenp6ZyWUENSLYH6xlwg/QKUlxZCePtW6XmHLuRj4e7zyCtW8cgtzXF7a3293IiDv8Zy\nLexv18L+di3sb9dxeVpCXXGK1RLIeQhFA+WhWYCpEOpn71b5wrzo5t5YOKw1eoT4YOGe85ifeBY5\nRVwujIiIiOoXwy2VIwyBUB54AjiwBzJpa5Wf5+2mwcxeQfh7nyAkXyzEEwknsf9sXh1WSkRERGSL\n4ZYqJLr1guhzB+SXH0Cer97d4nqF6rFoWGu0MXjgXzvOYMmPaSg087a9REREVPcYbqlSYvzDgKEp\n1A8WQFZzDrPBU4sX+gXjL7c0x46T2Xhq40kczSiso0qJiIiISjHcUqWEuweUaU8D51Ihv/ms+s8X\nAkMim+Dtoa3h66bBs1tO4fNf02HhkmFERERURxhu6bpEaBuI0Q9Abl0LmXygRm0E6d3w6h1hmBDd\nFGt+y8Qzm08hNdtk50qJiIiIGG6pCsTAkUDHm6F+/DZkjrFGbWgUgfHRTTF/cBhMFhWzNqZg/e9Z\nUBvfSnRERETkQAy3dENCUaA8OBOQEuoni6q8PFhF2gV44s0h4RjU1h8f/nQR//g+FRkFXJOYiIiI\n7IPhlqpE+DWBMvWvwKH9kN9/W6u23LUKHuneHP/sH4LU7GI8mXASO1Ny7FQpERERuTKGW6oyEd0d\nYsAIyNUfQ545Wev2Ylp6Y9Gw1uja0htv7DqH15POIs9UYodKiYiIyFUx3FK1iDGTgRbBUJe9Dmmq\n/UVhvu4aPB3bCrN7B+HA+Xw8mXASv5zPt0OlRERE5IoYbqlahM6tdHmwjAuQ/1lut3bjwktv/NDK\nzw0vfZ+KD/ZfgMnCGz8QERFR9TDcUrWJoFCIcQ9B/rAJ8ue9dmu3qZcO/+wfgoe7NcOWP42YtTEF\nf2YW2a19IiIiavwYbqlGRN87gZjboH76DuSlTLu1qwiBER0MeHNIONy1As9sTkH8oQyU8MYPRERE\nVAUMt1QjQggoDzwB6HRQl86HLCywa/shfu6Yf0c4xtwUgFWHMvDc1lM4l1Ns13MQERFR48NwSzUm\nfPVQpj8HnEuF+uYLkHn2Xc5LpxG4r0sg/m9QGHJMJZi54SQ2/XGpVuvsEhERUePGcEu1IiLaQ3l6\nHpBxAerrz0Mas+x+jg6BnnhrSGv0a+2H9/ZdwL92nMGlQovdz0NEREQNH8Mt1ZoIbQPlmf8D8vOg\nLngOMvOi3c/hqVPw2G0t8EK/YBzPKsITCSex53Su3c9DREREDRvDLdmFaBlSGnClhDr/Wci0M3Vy\nnu6tfLBoWGvc1MwTryaexZyE37E3NRfFJVw2jIiIiAAhG+EExvT0dJjNZkeX4ZKkMRPqmy8CeTlQ\nZv4TIjSibs4jJXaczMG3f2Tjz4wCeOkU3Bbsg9gwPWJaekOriDo5LzmWwWBAVpb9p76Qc2J/uxb2\nt+vQ6XQIDAyss/YZbsnuZG4O1IX/AC6eh/LXlyDadKizcxkMBhw8eR5Jp3KReCoHZ3KK4eumoEeI\nL/qE69GpmRc0DLqNBn/4uRb2t2thf7sOhtsaYLh1PFmQD/WdfwGpJ6DMeB4iqkudnOfqN0MpJU4Z\nTUg8lYukUzlIyzPDz0ODXmVBNyrQE4pg0G3I+MPPtbC/XQv723Uw3NYAw61zkCYT1Pf+DRw9BOXR\nv0PE3Gb3c1T2ZiilxJ9ZRUgqC7oZBRYEeGrRO8wXsWF6RAZ4QDDoNjj84eda2N+uhf3tOhhua4Dh\n1nlIsxnqh28Av+yFePApKLf1tWv7VXkzVKXE0fRCJJ7Oxa5TOTAWlaCZtw6xYb7oE6ZH6ybuDLoN\nBH/4uRb2t2thf7uOug632jprmQiA0OmgPPI3yE/fgVz+JlRTIZS4O+u1BkUIRDXzQlQzLzzUtRl+\nu1iApFO52Ho8G18fzkKQr1tp0A3XI9TPvV5rIyIiIvtiuKU6JzQaYMqTgIcn5IolUAsLoQy+2yG1\naBSBzi280bmFNx65pTkOpuUj8VQuEo5eQnxyJsL83BFbNnUhSO/mkBqJiIio5hhuqV4IRQHufQTw\n9IJc/THUogKIkRMdOh1Aqwh0DfJB1yAfmG9tjgPn85F0KhdrDmfi84MZaGNwR2yoHrFhejTz0Tms\nTiIiIqo6hluqN0IIiLvvh+rhBfn1p0BhATDuodLg62A6jYLbgn1xW7AvTBYV+8/lITElF6sOZeDT\nX9LRvqkH+oTp0SvUFwFeDLpERETOiuGW6p0yZAxUD0/IL94HigqBB2ZAKBpHl2XlrlXQO1SP3qF6\nFJhL8L8zeUg8lYtPfr6I5T9dxE3NPBFbFnT9PPhfiIiIyJnwJzM5hHL70NKA+8nC0oD78CwIrfON\niHrpNOjb2g99W/shz1SCvWdykXQqF8v2X8Cy/RfQpYU34sL16BHiAy+d8wR0IiIiV8WlwMih5IE9\nUD9YAHToAmX6sxBu1VutwFFLx2QXWbD7dC52puTgcHoh3DQC3Vv5IC5cj25B3nDTOH6qRWPEpYJc\nC/vbtbC/XQfXua0BhtuGRf72M9QlrwDhkVAenwvh6VXl5zrDm2F6vhmJp3KQmJKDE5dM8NIp6Bni\ni7hwPaKb8/a/9uQM/U31h/3tWtjfroPhtgYYbhse+cdhqO+8DDRvBeWvL0H46Kv0PGd7M0zNNmFn\nSg4ST+XgfK4Z/h4axIbpERfOu6LZg7P1N9Ut9rdrYX+7DobbGmC4bZjkqeNQ334J8GsCZeY/IfwN\nN3yOs74ZXr79b2nQzcWlQgta+OjQpyzohvrzZhE14az9TXWD/e1a2N+ug+G2BhhuGy55PhXqmy8A\nbu5QZv0LIqDZdY9vCG+GJarEbxcLsDMlB7tTc5FfrCLc3x19wvXoE+aL5j68WURVNYT+Jvthf7sW\n9rfrYLitAYbbhk2mp5UG3JISKLNehmgRXOmxDe3N0Fyi4sD5fOxMycG+M3koLpGICvREnzA9eof5\nwp9Li11XQ+tvqh32t2thf7sOhtsaYLht+OSlTKhvvQjk5UB56mWIkNYVHteQ3wwLzSp+PFO64sIv\n5/MhAS4tdgMNub+p+tjfroX97ToYbmuA4bZxkLk5pXNwM9KgPPkSRJsO5Y5pLG+GOUUW7Dqdi8RT\nOfjtIpcWq0xj6W+qGva3a2F/uw6G2xpguG08ZEE+1Hf+BaSegDLjeYioLjb7G+ObIZcWq1xj7G+q\nHPvbtbC/XQfDbQ0w3DYu0mSC+t6/gaPJUP7yd4gut1r3NfY3wzPZJuw8lYOdKbZLi/UI8UG7AE94\naF1rRLex9zfZYn+7Fva362C4rQGG28ZHms1QP3wD+GUvxINPQbmtLwDXeTOsaGkxRQCtm7gjMsAT\nHQI90b6pJ1r46Br1Wrqu0t9Uiv3tWtjfrqOuwy0vzaYGQeh0UB75G+Sn70AufxOqqRBK3J2OLqve\nCCHQLsAT7QI8MeXmZkjNNuH3jEIczSjCwQsF2PiHEQCgd9egfVMPRDb1RIemnmgb4MEL04iIyKUw\n3FKDITQaYMqTgIcn5IolUAsLgXsfcnRZ9U6jCIQ38UB4Ew/c2a50W66pBMcyCnE0sxBH0wvxzeEs\nFJhVKAII9XNH+6aeaN/UA+2beiJI7walEY/uEhGRa2O4pQZFKApw7yOApxfk6o+RV1wEeecYCJ1r\n3wjB112Dbq180K2VDwBAlRJnsotxNKMQv2cU4kh6Abb8aYQE4OOmIDLAE+3LpjK0C/CAjxtHd4mI\nqHHgnFtqsNQt30B+swIwBEK57y8QHW92dElOLb+4BH9kFuFoRqH1T16xCgEg2M+tbHS39E+In3OO\n7nJOnmthf7sW9rfr4AVlNcBw6zr0BTm4tGQ+cPQQRPdYiPEPQfgHOLqsBkFKibO5xTiWUYTf0wtx\nLLMQp4wmqBLw0iloF+BhE3h93R0/ussffq6F/e1a2N+ug+G2BhhuXYfBYEBmZibkjzsg4z8CzMUQ\no+6DuH1Y6RxdqpYCcwn+tI7uln7NMZUAAIJ83dAh0AMRTTzQSu+GVno3NPXS1eu6u/zh51rY366F\n/e06uFoC0Q0IISB63A4ZfQvkf1dAxi+H3L0Nyn3TK7yrGVXOS6dB5xbe6NzCG0Dp6G5antlmKsPO\nlFxY1NLPxFpFoKWvDkG+pWE3yNcNQXo3tPJ1g5+HplEvS0ZERM6JI7fUoFX0SV+ePAZ15XtA6gmI\nPndAjH4AwtvXQRU2PiWqREaBGWdzinEutxjncopxNteMcznFSM834/IbipdOsQm7Qdbwq6vx8mQc\n2XEt7G/Xwv52HRy5Jaom0ToSyvOvQ+7YCPnflZA/74W4ZwpEz/4cSbQDjSLQ3McNzX3c0PWafcUl\nKtJyzThbFnovh99f0/KRXVRiPa6Jh+aqsHsl/Lbw0UGnca27rhERkX0x3FKjJBQNRP/hkF17Qf7n\nI8iPF0Lu+g7KxOkQrUIdXV6j5aZREOrvjlB/93L78opLcD632GbE98QlExJP5aLIogIAFAE089ZZ\nQ+/V0x2aevPtioiIbqxG0xI2bdqE9evXw2g0Ijw8HFOnTkXbtm0rPNZoNOKzzz7D8ePHkZaWhqFD\nh2Ly5MnljtuzZw/i4+Nx8eJFBAUFYeLEibj55pot7cRpCa6jqr/Gkod/gfrFUiAjDWLQXRDDx0O4\ne9RDhXQjUkoYi0rKpjdcGfE9m1OMtLxilOVe6BSBYH8PNPPSoKWvG1r66tDStzT4BnhpnXLpMqod\n/pratbC/XYfTTUvYvXs3VqxYgUceeQRt27ZFQkICXnnlFSxcuBB6vb7c8WazGXq9HmPGjEFCQkKF\nbR49ehSLFi3Cfffdh65duyIxMRELFizAa6+9huDg4Oq/KqJriI4xUF5aBLl5DWTCfyD37YRy7zSI\nmB6OLs3lCSHQxFOLJp5a3NTcy2ZfiSqRnm+2ht2sYgUnM3KxNzUXF/PNKLuuDTpFoEVZ2G3pU/a1\nLADX94oORETkWNUOtwkJCRg4cCD69u0LAJg2bRoOHDiA7du3Y9SoUeWODwwMxJQpUwAA27dvr7DN\njRs3IiYmBsOHDwcAjB8/HgcPHsSmTZvw8MMPV7dEogoJnQ5i+ATIW/tCXbUU6uJ/A11uhTJhGkTT\n5o4ujyqgUQRa+Lqhha8bugbZjuyYS0qD7/nc0pHe83lmnM8pxr6zebiQdyX4ahWBFtbAe2W0l8GX\niKhxqla4tVgsOHHiBO6++27rNiEEoqOjcezYsRoXcezYMWuwvaxLly7Yv39/jdskqoxo1hLKky8B\nB/ZA/fIDqC/NgBg+AWLQKAitztHlURXpNKJ0Xq7eDd2u2WdRrwm+uaXf7y8LviXW4As09ykb7dW7\noaWPm3Vps0BvBl8iooaoWuE2NzcXqqrCz8/PZrufnx/OnTtX4yKMRiP8/f1ttvn7+8NoNNa4TaLr\nEUIA3XpBuSkGct2q0lUV9mwvvY1v+2hHl0e1VLr+bunUhGtXdChRJS6WBd/Lofd8bjF+OpuPi/mX\nrHN8tQrQzPvKaG8zbx183TXQl/25/L2XTuEqHEREToSXH5NLEx5eEOMeguzVH+rK96C+/jxEj9sh\nxk6F0PvfuAFqcDRXBd9rXV7D99xVofd8bjF+OZ+P9HwzTCXlr7/VCFQQerXWbQzERET1q1rh1tfX\nF4qiIDs722Z7dnZ2uZHX6qholLai0dyrJSUlYdeuXTbbmjdvjilTpkCv16MR3puCKqDT6WAwGGrf\nkMEA+eoyFH2/AfkrlkAe+h+87vsLPAaNhFC47qqzsFt/X0cggKhK9pksKnKKzMgutMBYZEZOkQXZ\nhWYYiyw236fkmJFdWIjsIjMKzWq5djSKgJ+HtvSPp67sex38PLXQe+jgX7Zd76GFv6cOTTx18HJz\nvdtJ10d/k/Ngf7uOyx/uP/nkE1y4cMFmX+/evREbG1ur9qsVbrVaLSIiInDo0CF0794dQOkyPsnJ\nyRgyZEiNi4iMjERycjKGDh1q3Xbo0CFERkZW+pzY2NhKX3xOTg6XAnMRdl86pmsviHadINd8grxl\nryNv6zook6ZDhLax3zmoxpxhqSANAIMGMHgD8FYAuJf9qVhxiYpcUwlyTCXWr9d+n1NgwplLBcg1\nWZBjUq3r/l7N201BUy8dmnppS796a62PA711CPDSwq2R3QDDGfqb6g/723VcXgrs8oID9lbtaQnD\nhg3DkiVLEBERYV0KzGQyoV+/fgCAL774AllZWXj88cetz0lJSQEAFBUVIScnBykpKdBqtdZlvoYO\nHYp//OMf+Pbbb9G1a1ckJSXhxIkTePTRR2v/ComqSfjqIaY8CRk7sHSqwrzZEP2HQYycCOHl7ejy\nqIFx0ygI8FIQ4FX1ixUvB+LLAfhSoQUZBRZkFJiRnm/BscxC7E61INdUYvM8Pw/NlQDsfSUIB5Y9\nNnhqeZEcETV6NbqJw+bNm7Fu3TrrTRwefPBBtGlTOrK1ZMkSpKen46WXXrIeP378+HJtBAYG4t13\n37U+3rt3L7788kukp6ejZcuWmDRpEmJiYmrymngTBxdS15/0pcUC+f16yHWrAA8viHEPQtzSh/Ml\nHYQjO7ZMFtUaejPyzTYBuHSbBYVXjQIrAmjiaTvie+1IsJ+HxmluiMH+di3sb9dR1zdxqFG4dXYM\nt66jvt4MZVY61K8+BA7sAaK6QJn4F4gWrer8vGSLP/yqL7+4pDT02oRf81Wh2AKzeuXHgFYRZYG3\nNOzqPTTQKQI6jYBOUaDTCGjLHmsVcdW+K1+113zVaZTSx2XHaASq9AGR/e1a2N+ug+G2BhhuXUd9\nvxnKQ/tLb+NrzIS4YzTEkDEQHp71dn5Xxx9+9ielRI6pfADOyLcgvcCMXFMJzKqEuUTCrEpYLn9V\na/6jQwDlg3AFIdnTwx2KaoGbRsBNo8BNI+CuLfuqUeCmFdZ97pePKdvmXnb8tds4LcN58f+362C4\nrQGGW9fhiDdDWWyC3PAfyM3fAF7eEKPug+g9EELjelez1zf+8HMeUpYG3IqCb8WPVVhUwFyiVhqW\nzdc8X2i0yCs0wVQiUWxRUVwiUVyilj6+alt1fohpBKyB1/2q0HztNnetAm+dAi83Bd660uXbKvve\nTSM4VckO+P/bdTDc1gDDretw5JuhzEyH/O8KyL07gKBQKPdMBTp15Q+5OsQffq6lKv19OWRfG3hN\nJZfDcOk2U1kwtgZki7xynOWafSUSJouK/GIVBWYVBeYSFFkq/1GpVQBPnaY0DOsUeLlV/L23mwae\nWgXebgq8dJqygFz6vYe29gFZSglVouyPrOJX220aIeDtVlqrez2Hdv7/dh11HW55EweiGhIBgRAP\nzYIcMALqfz6GuuifpfNxxz4IEdLa0eURuQQhyqYx1PEvTkpUaQ26+cUqCs0q8s0lKDBfDsHlv0/L\nM6Og2GQ9rqCCNY8vUwRKw7BOAzeNsAmcJRWEUFlJULUnjQC83TSlYVensYZe77KgbrP96v1lj+0R\n2IlqgiO31KA5yyd9KSXw6z6oqz8BLp6D6NUfYtQkiCYBji6tUXGW/qb60dj6W5UShWUhN7/4SuC9\n9nFxiQpFCCgC1q+aax4rypXvBcqOUa45xvq1om0Vfy1RJfLL6rF+LRvBzrtmW765BPnFJahgWWYA\npeetLAz7uGnKRrOvbGtm8Edhfi50igKtgmvmY5duu7yPoblh48gtUQMghABiboPSqRtk4mbIdasg\n/5cEccfdEIPv5kVnRARFiLKQp0Ggd9XXPXZmUpZO77AJvVeH4HJhWEVmgdlm+5XVOs5W+bxa5dpV\nOwCtolgvUrx2RY9yj68OzoqAogCQgCz9UvbiAIkrc7ovDwVav171d3D1KKGUuOaxrKBd22MUASi4\n6gPLNR9MRAUfVgTKfzgRFXxgsW7D1W1d+f56HxOu/Qwhrjm63HPLHV/xY19Pd9RhtmW4JbInodVC\n3D4M8rZ+kBtXQ25aA7lzU+lFZ7EDIRRedEZEjYcQAu7a0lUsDJ41ixTFJSoKilW4efsi45Kx3EWG\nly9ctFz9fQX7Lm8vt0+VKLKoyCsuv/3ysSVSQqAsfJUluiuPYfP4SuArHw5tHwvrseKq/VfaKjtY\nAioqm3Jy9VxqCRWAqpaG7rqcklLX2jfzwcr2IXXWPsMtUR0QXt4QYyZD9hsC+c0KyBWLIb//Fso9\nU4CbeNEZEdFlbhoFbp4KDP6e8FILHV1Og1XRBYUSEqqK0lBcwVztayemViUjV+U55dYwueahp4db\nFc5Ucwy3RHVIBDSDeHg25MCRUP/zEdSF/wQ6xkC5ZyovOiMiIrsRovQGKaW/H3TuARSdrm6n5Sh1\n2joRAQBEeDsoT/8byow5QGY61H/NhPrJQkhjpqNLIyIialQ4cktUT0ovOusBpVN3XnRGRERURxhu\niXTYNxAAACAASURBVOpZhRedJW6GGDmRF50RERHVEqclEDmI8PKGMmYylHnvQbTvDLliMdSXZ0Im\n/+To0oiIiBoshlsiBxMBzaBMmw1lzhuAlzfUhf9EyVsvQZ456ejSiIiIGhyGWyInIVq3g/K3/4Py\n2Bwg4wLUl2dC/WQRLzojIiKqBs65JXIiQgjg5h5QortD7twEuX4V5P8SedEZERFRFTHcEjkhodVC\n9B8O2aMf5IarLjobdR9E7wG86IyIiKgSnJZA5MSElw+Ue6ZA+dcSiPbRkJ+9W3rR2S97IdUSR5dH\nRETkdDhyS9QAiKbNIaY9feVOZ4v/DTRpWrp0WO9BEAGBji6RiIjIKTDcEjUgonUklL/9H3DqT8id\nmyG3rIX89iugUzcofe4AortDaPnfmoiIXBd/ChI1MEIIILwdRHg7yHEPQu5LhEzcAnXJvwG/JhC9\nB0LEDoIIbOHoUomIiOodwy1RAyY8vCDiBgNxgyFPn4BM3AK5PQFyw3+AjjFQ4gYDXW6F0OocXSoR\nEVG9YLglaiREaATEfX+BvGcK5P5dkImbob4/H/D1g+g1AKLPHRDNgxxdJhERUZ1iuCVqZIS7B0Tv\nAUDvAZBnT5WO5iZugdz8NdA+ujTkdu0JoXNzdKlERER2x3BL1IiJVmEQE6ZBjn4A8sAeyMTNkB++\nAentC9GzP0TcHRAtQxxdJhERkd0w3BK5AOHmDtGjH9CjH+T5M5BJWyB3fw/53VqgbcfS0dzuvSHc\n3B1dKhERUa0IKaV0dBH2lp6eDrPZ7OgyqB4YDAZkZWU5uowGSZrNpTeDSNwCHPkV8PKGuK0fRNxg\niOBwR5f3/+3de3iU1YHH8e87mUnIhCSTKyTBkBsJsAaCgCKkoDYWLzxaagVb0YqCVdbd2u12rct6\nQTfqlq1r17WtKyoI3lK3IkgJFBUqIFIx3O9G5BLuySQhISGTvPvHm0wYEpRgwpCZ3+d58mTmzHnf\nOW8OCb+cnPecdqm/g4v6O7iov4OHw+EgIaHr1mfXyK1IkDIcDozh34Hh38E8ctAazV31AeZHiyA9\n2wq5w7+DEdbD300VERE5Zxq5lW5Nv+l3LtPjgY1rafp4KWwpgbAeGFeMwfjOWIy+mf5unvo7yKi/\ng4v6O3ho5FZELhjDbofLRhJy2UjMY4cxVy3DXPkXzBXF0DfLmpt7+WiMcKe/myoiItIujdxKt6bf\n9Lue2dgIm9fR9NclsGkdhNig/yCMQZdjDB6OEdt1v32fSf0dXNTfwUX9HTw0cisifmWEhMDgywkZ\nfDlm+THMz1djbvwb5tsvYb7xB0jNwBh8OcbgyyE109oeWERExE8UbkXknBmx8RgFN0HBTZi1JzA3\nfw4b1mJ+sBBz4VvgirNGcwdfbo3uaqMIERG5wBRuReS8GM6eGJePhstHWzei7d6KuWGt9bGiGMJ6\nwMA8a1Q3dxhGlMvfTRYRkSCgcCsi35pht1sjtf0HYU64Bw7uaw26c57HBMjIaZ2+kHSJpi+IiEiX\nULgVkU5lGAYkp2Ikp8L1P8SscmNu+gxz/VrM99/G/NNrkNAbY/AVGIOHWzuk2fWjSEREOof+RxGR\nLmVEuTBGFcCoAsxT9bBjkxV0P/vY2v7XGYFx6TDIuxzj7y7DcEb4u8kiItKNKdyKyAVjhIZB7jCM\n3GGY5v2w9wsr6G74FNauwAwJgexLrekLg4ZjJPT2d5NFRKSbUbgVEb8wDMPaGKJvFtz8Y8zjR60l\nxjZ8ivnHVzHfeglS+nqDLunZ/m6yiIh0A9rEQbo1LfodmMy6Wtiy3gq6mz6DE9UQ5aLH8HxODRgC\nAwdrmbEgoO/v4KL+Dh7axEFEgo7RwwlDR2IMHYnZ1Ahf7MBc/ykNm/5G0wfvW8uMXXoZxpArMXKH\nYjh7+rvJIiJykdDIrXRr+k0/uMTExFC+ZQNmyRrM9Z/Cnl0QEgI5uRhDRlgrMMTE+buZ0kn0/R1c\n1N/BQyO3IiLNDMPAaFlm7MYJmOVHrbV0S9ZgvvUS5ut/gPRsK+jmjcBI6uPvJouIyAWmcCsi3ZYR\nm4Bx9Y1w9Y2YNScwN/0Ns+TT1vV0e6dYIXfICEjrh2Gz+bvJIiLSxRRuRSQgGBE9MUZcDSOuttbT\n3dY8fWHlXzCL/w+iYzHyLscYciXkXIphd/i7ySIi0gUUbkUk4BihYdC81a/Z1Ai7t1kjuiWfYK4o\nhnAnRu4wa0T30susG9hERCQgKNyKSEAzbM0bQ2RfijnhbjiwB/PzNZjr12Cu/SvY7TAgr/mGtOEY\nUTH+brKIiHwLCrciEjQMw4A+6Rh90uGmH2EeO2yF3JJPMef+DnOuCZn9W29IS0zyd5NFRKSDtBSY\ndGtaOia4dGV/m9VVmButlRfYuh4aTlk7pOVdYc3TTc2wwrFcMPr+Di7q7+ChpcBERC4AIzIKY1QB\njCrArK+DLZ9bI7of/RlzURFEx1ijupn9MTL6Q99M7ZImInIRUrgVETmDEdYDLhuJcdlITI8Hdm3B\n3LYBs3QH5ntvWKsx2O2QmmmF3cwBkJmD4dIGEiIi/nZe4ba4uJiFCxfidrtJS0tj8uTJZGVlnbX+\nli1beO2119i/fz/x8fGMHz+eq666yvv68uXL+f3vf+9zjMPhYN68eefTPBGRTmPY7TBgMMaAwQBW\n2D2wB/OL7fDFdszPP8H8y3tW5bhEjIwcyByAkdUfUtKs40VE5ILp8E/d1atXM3fuXO69916ysrJY\ntGgRhYWF/Pa3vyUqKqpN/SNHjvDMM88wduxYfvazn7Fx40ZefPFFYmNjGTRokLee0+nkt7/9LS1T\ngDW3TUQuRobdDn2zMPpmwTXjADDdx+GLHZhfbMMs3QEln1ghODQU0rIxMnOs0d2M/hiRbX9OiohI\n5+lwuF20aBEFBQWMGTMGgKlTp/L555/z0UcfcfPNN7epv3TpUnr16sWkSZMASE5OZvv27SxatMgn\n3ALthmMRkYud4YqDoSMxho4EwGw4BV99gVm6HfOL7ZirP8Rc/H9W5cRkjMz+3vm7JF9iLVcmIiKd\nokPh1uPxUFpayvjx471lhmGQm5vLzp072z1m165d5Obm+pTl5eUxZ84cn7K6ujr+/u//nqamJtLT\n0/nxj39Mnz7aF15Euh/DEQpZAzCyBgBYf5E6fqR1KsMX2+HT5ZhNTRDuhPTs1rm76dkYzgg/X4GI\nSPfVoXBbXV1NU1MT0dHRPuXR0dGUlZW1e4zb7W63fm1tLQ0NDTgcDpKTk7n//vvp27cvtbW1LFiw\ngH/7t3/j2WefJTY2toOXJCJycTEMA+J7YcT3giusv3qZ9XWwZxfm7m3W6O6HizAXvgWGAcmprXN3\nM/tDr2RN1RIROUcXxZ0O2dnZZGdn+zz/+c9/zrJly5gwYYIfWyYi0jWMsB6Qk4uRY/1lyzRNOHzA\nd3T346WYABGRkN4PIy0bIyPbmserubsiIu3qULiNjIzEZrNRWVnpU15ZWYnL5Wr3GJfL1W59p9OJ\nw+Fo95iQkBDS0tI4dOjQWduycuVKVq1a5VPWq1cv7rrrLqKiogjAvSmkHQ6HQ6P7QSTg+zsuDga2\n3ovQVFONZ+cWGnZtxbNzKw0rFtP0/lsA2Hol4+g3EHu/gdbn9H4YoWH+anmXCPj+Fh/q7+DR8peo\n2bNnc/jwYZ/XRo0aRX5+/rc6f4fCrd1uJyMjg02bNjFs2DDAGm3YvHkz119/fbvHZGdns379ep+y\nDRs2+IzUnqmpqYl9+/YxZMiQs9bJz88/68VXVVVph7IgoR1tgktQ9nffbOuj4PsYpolx9BDmlzsx\nv9xJ/Z5d1K9ZAZ4GCAmxthZOz7ZGedNzrOkMNpu/r+C8BWV/BzH1d/Bo2aHsrrvu6pLzd3hawo03\n3sjvfvc7MjIyvEuB1dfXe9etfeONNygvL+eBBx4A4Nprr2XJkiXMmzePa665hk2bNrFmzRoefvhh\n7znfeecdsrOz6d27NzU1Nbz33nscO3aM7373u51zlSIiAcAwDEhMwkhMap2762mA/Xswv9wFX+7A\n3L4Rlv/Zms4QHgFpWRjpORjp/SAjGyMqxq/XICLS1TocbkeOHEl1dTVFRUXeTRymT5/uXcbL7XZz\n/Phxb/3ExER+9atfMWfOHBYvXkxcXBz333+/zzJgNTU1vPjii7jdbnr27El6ejr//u//TkpKSidc\noohI4DLsDkjrh5HWD66+AQCz9gTs2e0d4TU/XoL55yLrgNgEa3Q3IxsjLdtaszcssKYziEhwM8wA\nnJx69OhRTUsIEvozVnBRf58f0zSh/Ci0hN0vd8JXX8CperDZILlv841q/axVGpL6XBRr76q/g4v6\nO3i0TEvoKhfFagkiItJ1DMOAuERre+Bh1r0KZmMjlO3F/HIHfLmrdXUG04Sw8ObpDNkYfTMhOdXa\nfEJbCYtIN6CfVCIiQcgICYFL0jEuSYfR1wFg1tU276y2E3PPTsw1yzGLm3dWC7FbN6glp1rr8CZf\nYoXehCSFXhG5qOgnkoiIAGD0cPqsvQtgVldC2T7Msr3WSG/ZXti+EfNElVUhxA69U5pD7yXe8EtC\nkhWgRUQuMIVbERE5KyMyGnKiMXIu9Sk3q9ytYfdgc/jdth7zRLVVwW6HXimnjfQ2h97E3hfFfF4R\nCVwKtyIi0mFGlAuiXBj9W1e+MU0Tqt1wYC9m2b7W8LulxFrBAcDuOG2k97TQm9BLoVdEOoXCrYiI\ndArDMCAqBqJiMAYM9pabpgmVFa0jvC2hd/M6zNoaq5IjtDX0Jl2CkZKKp38upj1Mc3pFpEP0E0NE\nRLqUYRjgigVXbDuht7w17LbM7d34N8yTtVSAtfNafG/rZrZeydZUh+bPuGK923iKiLRQuBUREb+w\nQm8cuOIwBrZut26aJrjLiTzhpuqLHXC4DPNwGeaGtXDsMGZTk1UxrIe1Y1uvFDgj+BoRPf10VSLi\nbwq3IiJyUTEMA2LiCM3sh+2STJ/XTE8DHDvcHHgPeIMvu7eCuxzvrkQ9o5pHe1N8PpOYhBGqHdlE\nApnCrYiIdBuG3QG9+0DvPpw5IcGsq4UjB62w2xJ8D+6D9Wta5/YCxCa0H3zjErV8mUgAULgVEZGA\nYPRwQmomRuoZo72mCSeq4PCB5uDbPM1h1xZYtQyz4ZRVMcQOCafN701IwkhMgsQkiI3Xag4i3YTC\nrYiIBDTDMCAyGiKjMbIG+rxmNjVBxfHTgq/12SxZA8ePtM7vDbFDfC9rWkNikm/wjUvUig4iFxF9\nN4qISNAybDaIS4C4BIyBeT6vmR4PlB+1pjocPdj8+RDm1vVwdLH1OoDNZk11aC/4JvTGcIT64cpE\ngpfCrYiISDsMu90KqIlJbef3NjVCRTkcKWsNvkcOYu7aCqs/xDxV33wS6+Y4b+A9M/j2CL/g1yUS\n6BRuRUREOsiwhbSO+J62di+ctmnFaSO+HDmI+dUX8NlKzJO1rZWjY9oG3oTeViCOcmmer8h5ULgV\nERHpRD6bVmT/nc9r1s1t1T4jvhw5aK3qsHEtnKhuXc7MZoPoWCvoxsRhuOIgJt56HBPf/B5xGA7H\nBb9GkYuZwq2IiMgFYt3cFgWRURiZ/du8btacgOOHoaIc030cKo5BxXHMimOYZfug/BjUn2wNwGDd\nLOcNvdamGMTEW49jmh+H9bhg1yjibwq3IiIiFwkjoidE9LSWNDtLHfNkrRV63ccxK04PwMcxd28H\n9zHfEWAAZ0Rz6G0e9W0Owd7HMfHgjNB2xhIQFG5FRES6ESPcCeGpkJx69gB8qh7cx60R4ObwS8Ux\nTPdxzP17YNM6qKqwpkm0CA21AnB0DEZ0rDUfuPmz4Wp+7IoFZ0+FYLmoKdyKiIgEGCM0DBKTITH5\n7AHY44GqitbgW3HcCsTuCszKcti/x7ox7mSN7yiw3dEcfGPOCMIxGK7TQnFklG6IE79QuBUREQlC\nht1urc8bm2A9P0s981S9FXIry6GyAtN92uPKcszdW63Xqyt9Q7DNBpGuM4LvGSPB0TEQFaNNMKRT\n6V+TiIiInJURGmZtS5zQ23p+lnqmpwGq3N4gbIXg5seVFZh7S6HyM6hyt+781qJnFOVxCTRGuk67\nKa75BrmYeOu55gTLOVK4FRERkW/NsDvObSS4qRFOVEFz+DWbR4EdJ0/QeKjMCsEb1lojwT5zgsN8\nQ6/rzCXSYrU2sAAKtyIiInIBGbYQiLKmI0BrCI6MjaWhvNxbz/Q0WCO/zStB0LI0mrsc89gR2LXV\netzoaT356WsDu+Jal0NznRGItSVyQFO4FRERkYuOYXdAXCLEJX7NKHBT8yjw8dYQ3ByETfdxzK37\nrNdO1vrOB+4ZCa7T1gaOjoFIF0ZUtLVucMuHsyeGzXYBrlY6k8KtiIiIdEuGzQZRLuvj69YGrquF\ninLvcmjeAFxxHHPPbmuE+EQlZmOj74E2mxVye0ZZUx4ifcOvFYZdzRtzuKBHuOYFXwQUbkVERCSg\nGT2ckOSEpD5nD8CmCbU1UO2Gqkor7FZVQnWlVVZdhVlZAfu+tMpqqn3nBIO1TFpUNPSMhqjo5jDc\nGn7PHBk2QsO6/NqDkcKtiIiIBD3DMKzd4SJ6Qu8+VtnX1LdujKu2gm6VG7O6EqqrmoOwFYzNo4fg\nix1WnTPXCwYIC7emSET0hIhIa0UIZ8vjnhARgdHy2NncNmdPCHdqhPhrKNyKiIiIdJB1Y1zzlIiU\nvl8bhAHMhgZrfnDzyLAVhq0RYmpqoPYEZu0J62a52hNQc8IKxGeODltvDhERPqHX8IbfSO9rxmkh\n2SrvCaFhAR+MFW5FREREupjhcFgrN8TEWc/P4RizqQlO1jaH3WorANfUeB+3hGCz9gRmlRsO7m8t\nrzvZdqQYIMTeOgLsjIAe4dZc4bBwCHd6n1sfTgyf51YZPcIhrMdFe7Odwq2IiIjIRciw2VqnSnzD\nJhpnMj0eOFljjQCfFoK9QbmmBk6ewKw7aQXhygpofuz9aPS0H5BbhPVoDbunfZwtELeUm/G9ICHh\n2355zkrhVkRERCTAGHZ7681rLWUdPIfZ0AB1tW1Cr9mmrPa0105iVhxrG5RP1XuDclNmDlz2eqdd\n65kUbkVERESkDcPhAIdvQIaOh2TAWmat3gq6NlvXzvlVuBURERGRLmWEhHhvgDMcji59r4tzJrCI\niIiIyHlQuBURERGRgKFwKyIiIiIBQ+FWRERERAKGwq2IiIiIBAyFWxEREREJGAq3IiIiIhIwFG5F\nREREJGAo3IqIiIhIwFC4FREREZGAoXArIiIiIgFD4VZERER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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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oUTz//PMsX778tH2nR40axapVq3jzzTe58847693GYrHQp08ftmzZUu/60aNH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\nFRERERGPoXArIiIiIh5D4VZEREREPIbCrYiIiIh4DIVbEREREfEYCrc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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 2.05e-02\n",
+ " final error(valid) = 9.07e-02\n",
+ " final acc(train) = 9.97e-01\n",
+ " final acc(valid) = 9.75e-01\n",
+ " run time per epoch = 0.80s\n",
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=1.00\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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Mt3bUM8gTd7bywIcHLqNbKw+4xI2BuvQZ4L8Hgc7R9u4eERE1QdnZ2fbuQqV4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\nKIPqKtptOODVx76zHH4BVvhtCb74B2D4BbZ531/rAX+Lwq2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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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9+OCDFBQU8Pbbb/u6Kufsn//8J//3f/9Hdna213RkrZHvmc5D2qJ7UroO3x1B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\nx0SUf7zn2QAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 3.41e-02\n",
+ " final error(valid) = 1.26e-01\n",
+ " final acc(train) = 9.93e-01\n",
+ " final acc(valid) = 9.64e-01\n",
+ " run time per epoch = 0.81s\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Set training run hyperparameters\n",
+ "batch_size = 100 # number of data points in a batch\n",
+ "num_epochs = 100 # number of training epochs to perform\n",
+ "stats_interval = 5 # epoch interval between recording and printing stats\n",
+ "learning_rate = 0.2 # learning rate for gradient descent\n",
+ "\n",
+ "init_scales = [0.1, 0.2, 0.5, 1.] # scale for random parameter initialisation\n",
+ "final_errors_train = []\n",
+ "final_errors_valid = []\n",
+ "final_accs_train = []\n",
+ "final_accs_valid = []\n",
+ "\n",
+ "for init_scale in init_scales:\n",
+ "\n",
+ " print('-' * 80)\n",
+ " print('learning_rate={0:.2f} init_scale={1:.2f}'\n",
+ " .format(learning_rate, init_scale))\n",
+ " print('-' * 80)\n",
+ " # Reset random number generator and data provider states on each run\n",
+ " # to ensure reproducibility of results\n",
+ " rng.seed(seed)\n",
+ " train_data.reset()\n",
+ " valid_data.reset()\n",
+ "\n",
+ " # Alter data-provider batch size\n",
+ " train_data.batch_size = batch_size \n",
+ " valid_data.batch_size = batch_size\n",
+ "\n",
+ " # Create a parameter initialiser which will sample random uniform values\n",
+ " # from [-init_scale, init_scale]\n",
+ " param_init = UniformInit(-init_scale, init_scale, rng=rng)\n",
+ "\n",
+ " # Create a model with two affine layers\n",
+ " hidden_dim = 100\n",
+ " model = MultipleLayerModel([\n",
+ " AffineLayer(input_dim, hidden_dim, param_init, param_init),\n",
+ " SigmoidLayer(),\n",
+ " AffineLayer(hidden_dim, output_dim, param_init, param_init)\n",
+ " ])\n",
+ "\n",
+ " # Initialise a cross entropy error object\n",
+ " error = CrossEntropySoftmaxError()\n",
+ "\n",
+ " # Use a basic gradient descent learning rule\n",
+ " learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n",
+ "\n",
+ " stats, keys, run_time, fig_1, ax_1, fig_2, ax_2 = train_model_and_plot_stats(\n",
+ " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)\n",
+ "\n",
+ " plt.show()\n",
+ "\n",
+ " print(' final error(train) = {0:.2e}').format(stats[-1, keys['error(train)']])\n",
+ " print(' final error(valid) = {0:.2e}').format(stats[-1, keys['error(valid)']])\n",
+ " print(' final acc(train) = {0:.2e}').format(stats[-1, keys['acc(train)']])\n",
+ " print(' final acc(valid) = {0:.2e}').format(stats[-1, keys['acc(valid)']])\n",
+ " print(' run time per epoch = {0:.2f}s').format(run_time * 1. / num_epochs)\n",
+ "\n",
+ " final_errors_train.append(stats[-1, keys['error(train)']])\n",
+ " final_errors_valid.append(stats[-1, keys['error(valid)']])\n",
+ " final_accs_train.append(stats[-1, keys['acc(train)']])\n",
+ " final_accs_valid.append(stats[-1, keys['acc(valid)']])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |\n",
+ "|------------|--------------------|--------------------|------------------|------------------|\n",
+ "| 0.1 | 1.87e-02 | 7.73e-02 | 1.00 | 0.98 |\n",
+ "| 0.2 | 1.85e-02 | 7.47e-02 | 1.00 | 0.98 |\n",
+ "| 0.5 | 2.05e-02 | 9.07e-02 | 1.00 | 0.98 |\n",
+ "| 1.0 | 3.41e-02 | 1.26e-01 | 0.99 | 0.96 |\n"
+ ]
+ }
+ ],
+ "source": [
+ "j = 0\n",
+ "print('| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |')\n",
+ "print('|------------|--------------------|--------------------|------------------|------------------|')\n",
+ "for init_scale in init_scales:\n",
+ " print('| {0:.1f} | {1:.2e} | {2:.2e} | {3:.2f} | {4:.2f} |'\n",
+ " .format(init_scale, \n",
+ " final_errors_train[j], final_errors_valid[j],\n",
+ " final_accs_train[j], final_accs_valid[j]))\n",
+ " j += 1"
+ ]
},
{
"cell_type": "markdown",
@@ -468,12 +1641,251 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 14,
"metadata": {
"collapsed": false
},
- "outputs": [],
- "source": []
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=0.10\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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oo49i3rx5zT7uRj9nKpUKgYGB7VViAxy5bUdhXi6I9FYjM+/68htC3yTAZAJOH7djZURE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\neSlWeRnWgb0NAdld4xuGAcIjG8JvZDQmPMIu83mOsHeSO/5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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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IE2Gz2aqNcL722muej/erjBgxgueee46VK1dyzTXX1LivESNGsHr1al5//fVab8Rgt9vp\n1asXW7ZsqfZeaGhotVB9JgEBAdWmOCxevJhDhw7RpUuXOu3rTLZs2UJkZGSjv5gMFG5FRACwigtP\nBNk9mbA7E3Irl9wKj4BOXTH6DYaOlaOxbTpg2M/tbj8i0jikpqayYMECwsPD6d69O19++SXp6enV\nRj3vueceli5dyt13382ECRO4/PLLyc3NZdWqVTz11FP06NGDG2+8kfnz5zN9+nQ2bdrEgAEDKCkp\nIT09nTvvvNNzMdrVV1/N008/TXFxsWe5L3AvtbV48WKmT59O7969CQ0NPeONHlJTU3nuuef4v//7\nP5KSkti+fTvvvvsunTt3rvfv1bp160hNTa33/TaEcwq3K1asYPHixeTl5REfH8+kSZNITEw8bf2V\nK1eSnZ1NXFwcY8eOJSUlxfN+RUUFCxcu5KOPPiInJ4f27dtz66230rt373NpnojIaVnHS2DvTqzd\nmVAVZrMPud8MCXUvtfWjIRjxidA5EVq00misSDP05z//GbvdznvvvYfT6aR///7MnTuX2267zet3\nPjQ0lIULF/Lss8+yfPlyFixYQIsWLbjiiito27Yt4B4Fnj17Ns8//zzvvfcey5cvJyYmhgEDBtCj\nRw/PvsaPH8+TTz5JWloaY8eO9ZTfeeedfP3118ybN49XXnmFDh06eMJtbf/+/OIXv+D48eMsXLiQ\nxYsXc/nll/PWW2/xl7/8pdo2Ne2jtv2eWp6Zmcn27dv505/+dLpvZ6NhWHW8ZC8jI4MXXniBKVOm\nkJiYyNKlS9mwYQMzZswgMjKyWv20tDTmzJnD1KlTSUhIIDMzkxdffJEHH3yQvn37AjB79mzWr1/P\n3XffTbt27di8eTNvvvkmjz/+OPHx8XU+qezsbMrLy+u8nTQ9sbGxTWJZEqkf59LfltMJWZVBdo97\nZJZD+91vBgVDpwSMzt0gPhEjvpt7ya2zuNpZGp5+vxsP9UX9euSRR9i1a1eNS241Rr///e/5/PPP\nWb58+Vlvc7qfmcDAQOLi4uqredXUeeR26dKlpKamMmTIEAAmT57Mxo0bWbt2LaNHj65Wv2oYe+DA\ngQC0atWKzMxMFi1a5Am369atY9y4cZ6R2quvvpqtW7eyZMkS7r///nM+ORHxL1Z5ufsirz3fu0dk\nd2fCgSywTLAHQscuGD16wfDx7kDbtj2G7eyvFhYRqQ8PP/wwKSkpfPHFFyQlJfm6OaeVm5vL//73\nP1588UVfN+Ws1Snculwudu3a5TWMbhgGPXv2ZMeOHTVuU15eXm3RYYfDQWZmJqZpYrPZcLlcXgsR\nV9XZvn17XZonIn7Ecrnca8hWzo+1dn/vXrWgwuW+2Kt9Z4yuF8NPrsOIT4R2nTHsusxARHyvffv2\n7Ny509fNOCsxMTFnXCmisanTv/SFhYWYpum5S0WVqKgoDhw4UOM2vXr1YvXq1SQlJZGQkMDOnTtZ\ns2YNLpeLgoICoqOj6dWrF0uWLKFHjx60bt2arVu38tlnnzXIGnMi0jRZBXmUbvkUc9tmd6DN+gHK\ny9xryLbriNE5EZJTMeK7uZfgCnSccZ8iItL8NPgwxrhx48jPz2fatGlYlkV0dDRDhw5l0aJFnrt4\nTJw4kZdeeomHHnoIwzBo06YNV155JWvXrm3o5olII2cVF2KtfBdr9RIKy5zQur07yPZPdk8t6NhF\nd/QSERGPOoXbiIgIbDZbtTtr5Ofn13qfZIfDwdSpU5kyZQp5eXnExMSwatUqQkJCPBegRUZG8sgj\nj3ju6xwTE8Pbb79Nq1atam1Leno669ev9ypr3bo1EydOJDIy8pxubSdNT2BgYJO4W4rUnVlSzPEl\n8zi+eC5WRQUh100g8obbMUPCzryxNAv6/W48zuaWsiIns9lstf7+Vq3G8MYbb3D48GGv9wYPHkxy\ncvJ5HbtO4dZut5OQkMDWrVs9E6Aty2Lbtm0MHz78tNuefJIZGRn069evxv3HxMTgcrn49NNPGTRo\nUK37S05OrvXkCwoKtFqCn9AVvM2P5XRifbgUa8UCKC3FGDoC2/BxlEVGY4aEqb/9iH6/Gw/9J0Pq\nyjTNM66WMHHixAY5dp2nJYwcOZKZM2eSkJDgWQrM6XQydOhQAObMmUNOTo5nlYODBw+SmZlJt27d\nKCoqYsmSJWRlZXmtgpCZmUlOTg7x8fEcO3aM+fPnY1kWo0aNqp+zFJFGzyovx1q3EmvZO1BUgDF4\nGMbICRixLX3dNBERaULqHG4HDRpEYWEh8+bN89zE4bHHHvNMMcjLy+PYsWOe+qZpsmTJEg4cOIDd\nbufSSy/l8ccfp2XLE3+wysrKmDt3LkeOHCE4OJi+ffvyi1/8gtDQ0Ho4RRFpzKyKCqwNa7AWz4Xc\nYxgDh2BcfwtGXBtfN01ERJqgOt/EoSnQTRz8hz62bLos08T6fB3W+/+FIwcw+g3GGH0rRtuOtW6j\n/vYv6u/GQ30hddWkbuIgInI+LMuCzZ9iLnrbvS7t5f2x3f0oRqcEXzdNRESaAYVbEbkgLMuCrzdh\nvjcb9mRCj17Yfnqf+0YLIiIi9URre4hIg7N2bMN85jeYM/4Idju2Xz5OwP/9WcFWRPzS/v376dq1\nK1988UWDHeOhhx5i4MCBXmUdOnTgH//4xxm3ffbZZ+nQoYPntcvlon///rz55pv13s6GoJFbEWkw\n1g87MN97G77ZBJ0SsD3we7isn2eNQxERf/Tcc8/Rp08fz7KqDcEwjGr/1p7tv72nbmu325kyZQoz\nZszg5ptvxuFo3HeAVLgVkXpn7fvBHWq/+gzadsQ29dfQZyCGFoIXET+Xk5PD/PnzmTFjxgU/9s6d\nO7Hbzy363XTTTTz55JMsXLiQm266qZ5bVr8UbkWk3liH9mG9/1+sL9KhZWuMnz+MMSAFwxbg66aJ\niDQK8+fPx263M2zYsAt+7PMZcY2MjCQlJYV33nmn0YdbDaOIyHmzjh7GfGMG5u/vx8r8FuP2e7H9\naSa2gVcq2IpIo7V//35+85vfkJKSQteuXbnsssu4++672bdvX7W6BQUF/OEPf2DgwIEkJCSQlJTE\ngw8+SG5urqeO0+nk2Wef5YorrqBr16707duXyZMns3fvXk+dtLQ0+vTpQ0hIiKds2rRpdO/endLS\n0mrHvffee+nbty9VK7empaVxxx130K9fPxISEhg8eDDPPfccpmme8XxrmnP72WefMWLECLp27crg\nwYOZPXt2rdunpKTw2WefkZ+ff8Zj+ZJGbkXknFl5x7CWvoO1Lg1CwzBu+jlGyjUYgY17PpaICMDm\nzZvZuHEjY8aMoW3btmRlZTFr1ixuvPFG1q5dS3BwMAAlJSWMHTuWnTt3cvPNN3PZZZeRk5NDWloa\nBw8eJCYmBtM0ueOOO8jIyGDMmDHcddddFBcX8/HHH7N9+3Y6deqEy+Vi8+bN3HnnnV7tGDVqFLNm\nzWL16tWMHDnSU378+HE++OADbr75Zs8c2Hnz5hEeHs6UKVMICwtj/fr1/O1vf6O4uJjHHnusTue/\nfft2br31Vlq2bMkjjzxCeXk5f//732nRokWN9Xv27IlpmnzxxRdcddVVdTrWhaRwKyJ1ZhXmY61Y\ngLV2GQQ63Ddf+Ml1GEHBvm6aiMhZS01N9QqTAMOGDeP6669n2bJl3HDDDQDMnDmTHTt28Oqrr3L1\n1Vd76j7wwAOe5++88w7r169n+vTp/PznP/eU33vvvZ7n+/fvp7S0lI4dvW9WM2DAAFq3bs3777/v\n1Z4PPviA48ePc/3113vKXnjhBYKCgjyvb7/9dqKiopg1axaPPvoogYGBZ33+zzzzDAALFy6kbdu2\nAIwYMaLW4Nq5c2cAvv/+e4VbEWkerOJCrFWLsD5YDAYY196AkToaIzTM100TkUbA6TLZV1DW4Mfp\nEOkgyH7+MytPDokul4vCwkI6d+5MVFQUW7du9YTb5cuXc8kll3gF21MtW7aMFi1aMGnSpFrrVE1h\niI6Orvbeddddx9tvv83x48c9Uxbef/992rRpQ//+/Wtsc3FxMU6nkwEDBvD222+TmZlJjx49zurc\nTdPko48+Yvjw4Z5gC5CYmMiQIUNYu3ZttW2ioqIAGv3d6hRuReS0LLMCvt2Ctf4DrE0bwGbDuHIk\nxjXjMCIifd08EWlE9hWU8X/Ldzf4cf4+PJ6usef/SVFpaSn//Oc/mTdvHocOHfLMazUMg8LCQk+9\n3bt3VxvhPdWePXvo2rUrtrNYFabqOCcbNWoUr7zyCmlpaYwePZqSkhLWrl3LHXfc4VVvx44dPPXU\nU2RkZHi18dQ2n8mxY8coLS0lPj6+2ntdu3atMdye/P1pzBRuRaRGVvYhrIzVWBmrIecotO2IMean\nGD++EiOy+qiDiEiHSAd/Hx5/QY5TH6ZNm8Y777zD5MmT6du3LxERERiGwT333HNWF2jVVUxMDECN\nF2T17duXjh07snjxYkaPHk1aWhpOp9NrSkJBQQE33HADUVFRPProo3Tq1ImgoCC2bt3KX/7ylwZp\n88mq2l11Ho2Vwq2IeFhOJ9bGDKz1H8B3WyE4xL2U1+BU6NK90f9vXUR8K8huq5cR1Qtl2bJlTJgw\ngWnTpnnKnE4nBQUFXvXi4+P57rvvTruvzp07s3nzZioqKggIqHmVmPbt2xMcHOy1esLJrr/+el59\n9VWKi4t5//336dixI3369PG8v2HDBvLz83n99de9pirs2bPnjOd6qhYtWhAcHMwPP/xQ7b3MzMwa\nt6lqd7du3ep8vAtJS4GJ+DnLsrB2fYf51guYv7oT6zX3MjHGzx7G9rc3sf30PoyEixRsRaTZsdls\n1UY7X3vtNSoqKrzKRowYwTfffMPKlStr3deIESM4duwYr7/+eq117HY7vXr1YsuWLTW+P2rUKMrK\nypg3bx4fffSR16htVXsty/Jqc1lZGbNmzar1mLWx2WwMHTqUFStWcODAAU/5999/z8cff1zjNlu2\nbMFms9GvX786H+9C0sitiJ+yCnKxNnzoHqU9mAWxLTGuuh5j0FUYcW183TwRkQaXmprKggULCA8P\np3v37nz55Zekp6cTGxvrVe+ee+5h6dKl3H333UyYMIHLL7+c3NxcVq1axVNPPUWPHj248cYbmT9/\nPtOnT2fTpk0MGDCAkpIS0tPTufPOOz0Xo1199dU8/fTTFBcXExbmfTHuZZddRufOnXnqqacoKyur\nFm6TkpKIioriwQcf5Gc/+xkA77777jkPPvzyl79k7dq1jB07ljvvvJPy8nLeeOMNLrroIr799ttq\n9detW0f//v1rvCCuMVG4FfEjlssF277EXP8BbP0CDAOjz48xbroLelyuGy6IiF/585//jN1u5733\n3sPpdNK/f3/mzp3Lbbfd5hUYQ0NDWbhwIc8++yzLly9nwYIFtGjRgiuuuMKz0oDNZmP27Nk8//zz\nvPfeeyxfvpyYmBgGDBjgtYLB+PHjefLJJ0lLS2Ps2LHV2jRq1Cj++c9/0qVLFy677DKv92JiYnjz\nzTf505/+xDPPPENUVBTjxo1j8ODB3HbbbdX2dWroPfV1jx49+O9//8v06dN59tlnadOmDY888giH\nDx+uFm4LCwv5+OOPefLJJ8/yu+s7hlXTJXtNXHZ2NuXl5b5uhlwAsbGxjX5JksbAOpjlXu1gw1oo\nyINOXTGSU93zacMifN28s6b+9i/q78ZDfVG/HnnkEXbt2sW7777r66actZdffpn//Oc/ZGRkeC1H\nVpvT/cwEBgYSFxdX30300MitSDNlHS/B+nyde9rBru8gLAJj4FD3tINOCb5unoiI33r44YdJSUnh\niy++ICkpydfNOSOXy8Urr7zCQw89dFbB1tcUbkWaEcuyYMfXWOtXYX25HspdcGlvbHc/Cr1+hFGH\nO9eIiEjDaN++PTt37vR1M86a3W7n008/9XUzzprCrUgzYOVkY2Wsca9Jm30I4tpgjJiA8eOfYMS2\n9HXzRERELhiFW5Emyiovx9r8Kdb6VfDNZgh0YPQbjDHxAeh2qZbuEhERv6RwK9LEWAf2Yn20AuvT\nj6C4ELpejPHT+zD6J2MEh/q6eSIiIj6lcCvSRFi7vsNcPh82fwqR0RjJwzAGp2K07eDrpomIiDQa\nCrcijZhomy2UAAAgAElEQVRlWfDtV+5Qu30LtG6PMfEBjB8NwbDr4jAREZFTnVO4XbFiBYsXLyYv\nL4/4+HgmTZpEYmLiaeuvXLmS7Oxs4uLiGDt2LCkpKV51li5dyqpVqzh69CgREREMHDiQW2+9lUBd\n3S1+yDJN2PwJ5rL5sCcTOnXFNvX/QZ+ButGCiIjIadQ53GZkZPDWW28xZcoUEhMTWbp0KU888QQz\nZswgMjKyWv20tDTmzp3L1KlTSUhIIDMzkxdffJHw8HD69u0LQHp6OnPmzOG+++6je/fuHDhwgJkz\nZ2IYBnfcccf5n6VIE2G5XFiffoS1YgEc2gfdL8P20HS4pLcuEBMRETkLdQ63S5cuJTU1lSFDhgAw\nefJkNm7cyNq1axk9enS1+uvWrSM1NZWBAwcC0KpVKzIzM1m0aJEn3O7YsYOLL76YQYMGAdCyZUsG\nDRrUpNaAEzkfltOJlb4KK20h5GRDrwHYJj6A0fViXzdNRESkSalTuHW5XOzatcvrXsiGYdCzZ092\n7NhR4zbl5eU4HA6vMofDQWZmJqZpYrPZ6N69O+vWrSMzM5PExEQOHz7Mpk2bPAFapLmySoqw1i7D\nWr0Yigsx+l+Bce04jA7xvm6aiIiHaZrExsY26DFsNhumaTboMeTC8WVf1incFhYWYpomUVFRXuVR\nUVEcOHCgxm169erF6tWrSUpKIiEhgZ07d7JmzRpcLhcFBQVER0eTnJxMYWEhv//977EsC9M0GTZs\nGGPGjDn3MxNpxKz8XKwP3sf6cBm4XBjJqRhXj8WIa+PrpomIVJOXl9fgx4iNjSUnJ6fBjyPNX4Ov\nljBu3Djy8/OZNm0almURHR3N0KFDWbRoETabDYCvv/6ahQsXMnnyZBITEzl06BCvv/46CxYsYNy4\ncQ3dRJELxso+hJW2ECv9A7DbMYYMxxg2GiMqxtdNExERaRbqFG4jIiKw2Wzk5+d7lefn5xMdHV3j\nNg6Hg6lTpzJlyhTy8vKIiYlh1apVhISEeC5AmzdvHikpKVx55ZUAdOzYkdLSUl566aVaw216ejrr\n16/3KmvdujUTJ04kMjLSvYSSNHuBgYEN/lFZfXDt3UXJwtk401djhEcQeuNEQq4diy28+kWYUrum\n0t9SP9Tf/kX97T+qLpB+4403OHz4sNd7gwcPJjk5+bz2X6dwa7fbSUhIYOvWrSQlJQHudTi3bdvG\n8OHDT7utzWbz/NBmZGTQr18/z3tOp9Mzilul6sQty6rxKvHk5ORaT76goIDy8vKzPzFpshr7x1jW\nzu3uNWq/+gxiW2JM+BlG8tU4g4JwlrmgEbe9MWrs/S31S/3tX9Tf/iMwMJC4uDgmTpzYIPuv87SE\nkSNHMnPmTBISEjxLgTmdToYOHQrAnDlzyMnJ4f777wfg4MGDZGZm0q1bN4qKiliyZAlZWVme9wH6\n9evH0qVLiY+P90xLmDdvHklJSVr+SJocy7Lgm83uUPvdVmjTAWPigxg/StGNF0RERBpYncPtoEGD\nKCwsZN68eZ6bODz22GOeKQZ5eXkcO3bMU980TZYsWcKBAwew2+1ceumlPP7447Rs2dJTZ9y4cRiG\nwf/+9z9ycnKIjIykX79+3HzzzfVwiiIXhmWasOkTd6jdkwmdE7Hd82voPRDjlE8mREREpGEYVjOc\nnJqdna1pCX6iMXyMZbnKT7rxwn64qCe2EeOhh268UN8aQ3/LhaP+9i/qb/9RNS2hoTT4agkizZXl\nLMVal4a16j3IOQq9f4Rt0kMYCRf5umkiIiJ+S+FWpI4sy8JatxJr4WwoKcIYMMR944X2nXzdNBER\nEb+ncCtSB5azFGv2TKxPPsQYfBXGyJt04wUREZFGROFW5CxZh/Zh/vuvcPQwxl2/xPYj3R5aRESk\nsVG4FTkL1pfrMd94HqJbYHvsWYx2moIgIiLSGCncipyG5XJhLZiF9cEijP5XYNxxH0ZwqK+bJSIi\n0mi5TIuScpPj5RWUlJuUlJnux8rX4cEObtJqCSIXnpV7DPOlp+GHHRg3T8H4yUgt7SUi0kxYlkV5\nZQhzukxMi8ovC6vy0bSgovLxRPmJ92p/PHMdq3LfBmC3GZ6vgMrHQJtBgM37vZq+AmwQaDOwBxgE\nGCf2cS6qQmlJWUVlOPUOpVVfx095fWpZWUXtq8zaDOjVLpKbBp5jx50FhVuRGljbt2C+9AwE2LH9\n6kmMrhf7ukkiIoJ3KD1eblJc5g5fx73CVu3h7Hi5SXFlGHOZF67dBu5gZzMMr0cLd6isMC1Okwnr\nxGa4Q3GA4Q69dpuB3eDE88ov08Lre3WmUBoaaCM0MKDy0UZIoI3o4ADaRTi8ysIcAYRUvvaUVW7n\nCDBwOBz1c6K1ULgVOYllmlgr33Uv83VxT2yTH8GIiPJ1s0REmrwzhVJjn5PsvMLThtKqstOFUrsN\nTwBzhyobIYEBtAwN9ApaJ4evILvNK3AaJz0POCWMGp7X3nWMGoKr7aS6Z/PJn2m5Q67LdAfeU78q\nTPf30P285jre9Tmpvvux/KTnBsZpQ+nJQdYRYDSZTy8VbkUqWcVFmK8/B199hjFyAsaoWzBsAb5u\nlkizZ1nuwFNUVkFxmfuxqKyC4KMVOI+X4LAZOOwGjgD3H9jAAIOgU56f68ewcmb1MVJ6dqH0lKB1\nFqE01GHzCrLuENZ0b3duMwxsAQaB+tNzXhRuRQBr7073Ml8lxdh+8TuMy/v7ukkClFeY7M0v44fc\nUnblOjlekY1VUV4t5AQGGDgCDILsNgKrgpDNVvlo4LDbKusaBFZu6whwz2m7UCMRVSMy5ZWjMhVn\nGHFxmeCqsHBV3iG9toBXde6OABt2HwY807I4Xl4VTE8E1OIykyJnhVd58SnPi8vd8x3Ph83A871x\nnPQ9qanfT64XGGCrfN+73B5gVBu5q2nE7syP1ctO3k9No4KW5f542nuU7uRRtxpG7Cp/VqqeV1ju\nOuUVtY/aeX7OTnpdVmGe10jpiXB6IpRWjQCeKZS2iWup2+9KvVC4Fb9nrkvDmvMitO+M7ZePY7Rs\n7esm+aUiZwU/5JXyQ66TXTnux6x8JxWWe65au0gHbSJDOO4sx1lhUV7hnh/m/jrxvK7OFHKqwpDN\noFoYqCl81BQYXKZ13uHtbLgDXt1C3enP3YaJdd4BNazy486IIPdjuCOAVuGBhDsCKl/bCK8sDzvp\neauWsRw+mlNrX5dVmJS5vMvKKyycFSblNdWtsCovdnFRVkudCzkH80I4Mb+y9guTAmwGgZXvBwbY\niAsNPCmIBlQGUZt32UlBNbAJj5RK86RwK37LKnNizfkP1vrVGCnXYtx8F0Zgw05yF/dHnEdLXOzK\nLeWHHKf7MdfJkeJywB3OOkcHcVHLEK7tFk1CbDCdo4MIttuIjY097ciOVTly5awMOWUV5onnLpMy\n03KHIdMdispNC6erKuTUHIbKKiyKyiowrRPhINhuqzUsBFRe5Vx1FfNpr3QOMAgwTlzpXH179yOW\nRVnlKJzTZVLuOY/K86qoz4Dn/h6eqiqgVgXRsLMMqKGB5z5lICQwgMigAODCfUbr+Q9LheV1tbwF\nmObZXx1fdSV8TeVVzytqeQ848fMVYGA3Tvy81Hql/ClX2dttxlnP8xRpbhRuxS9ZRw5g/vspOLIf\nY9JD2Ab9xNdNapYqTIt9BZXTCipHY3/ILaWwzD08FhEUQEJMEIM6RdAlJoiE2GDaRzjOOQwZhnv0\nUfPVzk/VKLSzwr1M0fkE1KYmoGoZJf11FGmy9Osrfsfa/AnmazMgIhLbb57B6NDF101qFo6Xm+w+\nZVrBnjwn5ZVDUa3DA0mICeL6i2M9QbZFiF0jS41QVcAL0l8IEWmC9E+X+A2rogJr4VtYK9+FPgOx\nTXwQIzTM181qknKPuypHY09MKzhYWIYFBBjQKTqILjHBDO0SSUJMMJ1jggh3aDhVREQansKt+AUr\nPxfz5b/B919j3DgJY9gYjRiehaKyCrLynWTll7E330lWnpPdeU7ySisA98fVXWKC6NsujC4xsSTE\nBNMxyqELTERExGcUbqXZs3Z87b7bGJZ7NYTul/m6SY2OV4jNc69SsDe/jJzjLsB9FX6b8EA6RgVx\ndWI0CTHBdIkJolV4IDb9J0FERBoRhVtptizLwlr1HtaCWZDYA9uURzGiYnzdLJ+qS4j9SUIUnaIc\ndIoOon2ko0kvjC4iIv5D4VaaJaukGHPW87BxA8Y1N2CM/SlGgP/M+VSIFRERf6VwK82OtW+3+25j\nhXnY7v0tRp+Bvm5Sg1GIFRER8aZwK82KuWEt1uwXoFU7bNP+jtGqna+bVC+cLpOs/DJ255WyJ8/J\n3jyFWBERkZoo3EqzYJWXYc19BevjFRiDrsK4dSpGUJCvm1VnpmVxpKic3XnuNWKrHg8WlmFW3oa2\ndXggnaMVYkVERGpyTuF2xYoVLF68mLy8POLj45k0aRKJiYmnrb9y5Uqys7OJi4tj7NixpKSkeN6f\nPn0633zzTbXt+vTpw69//etzaaL4EevoYcz/PAX792DccT9G8rAmscxXobOCPZ4QW+p5Xupy3/Qg\nwmGjc0wwvduGMaZHLJ2jg+gUFURIoEKsiIhIbeocbjMyMnjrrbeYMmUKiYmJLF26lCeeeIIZM2YQ\nGRlZrX5aWhpz585l6tSpJCQkkJmZyYsvvkh4eDh9+/YF4JFHHsHlcnm2KSws5Fe/+hWDBg06j1MT\nf+D8cgPmc9MhJBTbr5/G6NzV102qprzCYn/BiVHYPXlOduc6OVY5pcBug45RQXSOCmJgxwjio4Po\nHB1ErO7eJSIiUmd1DrdLly4lNTWVIUOGADB58mQ2btzI2rVrGT16dLX669atIzU1lYED3Rf1tGrV\niszMTBYtWuQJt2Fh3neJSk9PJygoyLONSE3Mle9SMP8NuLw/tp89jBEW7tP2WJbF0RKX13SCPblO\n9hU4qXAPxtIy1E58dBBDu0QSHxNMfHQQ7SId2G0KsSIiIvWhTuHW5XKxa9cuxo4d6ykzDIOePXuy\nY8eOGrcpLy/H4XB4lTkcDjIzMzFNE5ut+kesa9euZfDgwdW2E6lirliAtWAWoePuoPTqGzBq+Dlq\nSE6XyQ+5J6YT7M51siffSXGZCUCI3Ubn6CB6tArh2u7RdK4cjdUtaEVERBpWncJtYWEhpmkSFRXl\nVR4VFcWBAwdq3KZXr16sXr2apKQkEhIS2LlzJ2vWrMHlclFQUEB0dLRX/czMTLKysrj33nvreCri\nL8y0hVgLZmFcdzNht07BmZPT4Me0LIus/DI2HSxm48FivjlSQlmFhc2AdhEO4mOC6NMuzDOloFVY\noKYUiIiI+ECDr5Ywbtw48vPzmTZtGpZlER0dzdChQ1m0aFGNo7Zr1qyhU6dOJCQkNHTTpAkyVy3C\neud1jBETMEbd0qDHKnJW8NUhd5jddLCYYyUuAm0Gl7YO5fZecVzWOpSOUVqlQEREpDGpU7iNiIjA\nZrORn5/vVZ6fn19tBLaKw+Fg6tSpTJkyhby8PGJiYli1ahUhISHVLkBzOp1kZGRw8803n7Et6enp\nrF+/3qusdevWTJw4kcjISCzLqsupSRNQsvQdiue9SsjY2wm77W4MwyAwMJDY2Nh62X+FafHt4SI+\n25vLZ3vz+PZwEaYFnWNC+En3OH7UKZpe7SIJDtTUAl+pz/6Wxk/97V/U3/6j6pPNN954g8OHD3u9\nN3jwYJKTk89r/3UKt3a7nYSEBLZu3UpSUhLg/rh227ZtDB8+/LTb2mw2zw9tRkYG/fr1q1Znw4YN\nuFyuszqp5OTkWusVFBRQXl5+xn1I02GuWYL135cwrhmLc/iNlOXmAhAbG0vOeUxLyC4uZ1PlyOxX\nh4opLjMJc9jo1SaMewa0oU/bMOLCAitrW5QU5lNSD+cj5+Z8+1uaFvW3f1F/+4/AwEDi4uKYOHFi\ng+y/ztMSRo4cycyZM0lISPAsBeZ0Ohk6dCgAc+bMIScnh/vvvx+AgwcPkpmZSbdu3SgqKmLJkiVk\nZWV53j/ZmjVr6N+/P+Hhvr3qXRoX88Nl7mB79RiMcRPPay6r02Xy9ZEST6DNyi/DZkC3FsFcf1EM\nfdqG061FMAFavUBERKRJqnO4HTRoEIWFhcybN89zE4fHHnvMM8UgLy+PY8eOeeqbpsmSJUs4cOAA\ndrudSy+9lMcff5yWLVt67ffAgQN89913/O53vzvPU5LmxPx4Bdbb/8FIHYUxflKdg21tF4K1CLHT\np10YN/dsSa82YUQEaaqBiIhIc2BYzXByanZ2tqYlNAPmujSsN/+FcdX1GDfdVWOwreljrNNdCNa3\nbRh92obRMcqh1QyaIH1s6V/U3/5F/e0/qqYlNJQGXy1B5FyY6auw3noB48oRtQbbKhWmxffHStl0\nsIhNB4v5/lgppgUdIh0M6hRB37ZhXNoqlCC7VjUQERFp7hRupdExM1a7R2xTrsG45e5ag+3mg8Ws\n/TSbz/fmel0Ilto1+pQLwURERMRfKNxKo2JuWIv1xvMYycMwbp1aY7DNK3Xx2pdH+Gh3Ad3iwnQh\nmIiIiHgo3EqjYX76EdbrMzAGp2Lcfm+1W+palsWaXfm8vvEIAA/+uC3j+sWTW7ksmIiIiIjCrTQK\n5mcfY736D4xBV2L89L5qwfZgYRkzPz3ElsMlDImP5Gf9WhEdbNdFYSIiIuJF4VZ8zvw8HevVv2MM\nHIJxx/1ewdZlWrz3TQ7/23aUmBA7f7iyA33baR1kERERqZnCrfiU9eV6rFf+hjEgBWPiAxi2E+vN\nfnf0OC98coisAiejL47l5stbEqwVD0REROQ0FG7FZ6yNGzBf/htGUjLGpAc9wbakvILZm7NZtiOP\nhNhgnr02noTYYB+3VkRERJoChVvxCWvzJ5gvPY3RdxDGzx72BNtPswp58fPDFJdX8LN+rRjZPUYr\nIIiIiMhZU7iVC8766jPM/zwNvX+E8fP/wwgI4FhJOS9/cYQNWYX0axfG1P5taBWudWpFRESkbhRu\n5YKytnyO+Z+/Qq/+2O56BMtmY8WOXN7cnE1ggMEjg9uR3DlCqyCIiIjIOVG4lQvG2vol5r+fhMuS\nsE3+FVnFFcz8dD/fZh9nWNcoJvZpRXhQwJl3JCIiIlILhVu5IKxtGzFn/gUu7Yvrrl8y/+tc3v3m\nGK3CHDyR2onLWof6uokiIiLSDCjcSoOzvtnsDrY9evHN2Af4d9p+DheVccMlLbjxshY4ArS8l4iI\niNQPhVtpUNa3X2H+63GKLu7LW0l3surDA1zcMoRfD+9Cp+ggXzdPREREmhmFW2kw1ndbqfjXn1nf\nczivtUqhbF8xU/u35ppu0dh0wZiIiIg0AIVbaRDWjm0cenEGL/e7hy+D2vPjuFAmJ7WiRaiW9xIR\nEZGGo3Ar9c713dcseWcV/+3zIGFhwfy2fxt+1DHC180SERERP6BwK/Vq51ff8MInh9gVfy3DE6P4\nab/WhAZqeS8RERG5MBRupV44XSZzPt7B+wcsOgSF8teftOXidtG+bpaIiIj4GYVbOW+bDhbz7/VZ\n5Bx3cUvhV4ydOJbAUK1bKyIiIheewq2cl3e2HWX2V0fpmb+L3x3fRIf7HsYIVrAVERER31C4lXO2\nN8/Jf7ccZcyB9fy04jsCHvyjgq2IiIj4lG4NJefEtCxmfnaQNs5cbjm+jYAH/oARomArIiIivnVO\nI7crVqxg8eLF5OXlER8fz6RJk0hMTDxt/ZUrV5KdnU1cXBxjx44lJSXFq05JSQlz5szh888/p6io\niLi4OCZOnEjv3r3PpYnSwFbvzOfb7FKmfzOPoHumYoSG+bpJIiIiInUPtxkZGbz11ltMmTKFxMRE\nli5dyhNPPMGMGTOIjIysVj8tLY25c+cydepUEhISyMzM5MUXXyQ8PJy+ffsC4HK5+POf/0xUVBS/\n/OUviY2NJTs7m7AwBabGKL/UxaxNRxiSs43Lu7XDSLjI100SERERAc4h3C5dupTU1FSGDBkCwOTJ\nk9m4cSNr165l9OjR1eqvW7eO1NRUBg4cCECrVq3IzMxk0aJFnnC7Zs0aiouLeeKJJ7DZ3DMlWrZs\nec4nJQ3r9Y1HsMrLuPP7RRi/e8bXzRERERHxqFO4dblc7Nq1i7Fjx3rKDMOgZ8+e7Nixo8ZtysvL\ncTgcXmUOh4PMzExM08Rms/Hll1/SvXt3XnnlFT7//HMiIyNJTk5m9OjRnrArjcOWQ8Ws/aGAe3Yu\nISZ5KEZcG183SURERMSjTsmxsLAQ0zSJioryKo+KiiIvL6/GbXr16sXq1avZtWsXADt37mTNmjW4\nXC4KCgoAOHLkCBs2bMA0TX77298yfvx4lixZwrvvvnsu5yQNpLzC5N+fHeZiK4+rjm3BGDnB100S\nERER8dLgS4GNGzeO/Px8pk2bhmVZREdHM3ToUBYtWuQZlTVNk+joaO6++24Mw6BLly4cO3aMxYsX\nM378+IZuopylBd/kcLiojEe/fI2A627CCIvwdZNEREREvNQp3EZERGCz2cjPz/cqz8/PJzq65lut\nOhwOpk6dypQpU8jLyyMmJoZVq1YREhLiuQAtJiYGu92OYRie7Tp06EBeXh4VFRUEBARU2296ejrr\n16/3KmvdujUTJ04kMjISy7LqcmpyBll5x1nw9THGlu4gPtQg9obbMAIdZ96wgQUGBhIbG+vrZsgF\nov72L+pv/6L+9h9Vee+NN97g8OHDXu8NHjyY5OTk89p/ncKt3W4nISGBrVu3kpSUBIBlWWzbto3h\nw4efdlubzeb5oc3IyKBfv36e9y666KJqQfXAgQPExMTUGGwBkpOTaz35goICysvLz/q85PQsy+Kp\nNVnEBJiM+3QW1l0Pk1tY5OtmARAbG0tOTo6vmyEXiPrbv6i//Yv6238EBgZ6lnxtCHW+WmvkyJGs\nXr2ajz76iP379/Pyyy/jdDoZOnQoAHPmzOFf//qXp/7BgwdZt24dhw4dIjMzk+eee46srCxuueUW\nT52rr76aoqIiXnvtNQ4ePMjGjRtZuHAh11577fmfoZy3j3cX8NWhEibvWU5Q5y4YSYN93SQRERGR\nGtV5zu2gQYMoLCxk3rx5nps4PPbYY54pBnl5eRw7dsxT3zRNlixZwoEDB7Db7Vx66aU8/vjjXkt9\ntWjRgscee4xZs2bxq1/9itjYWEaOHFnj0mJyYRU5K3h14xEGhR2n73cfYvt/f/WaPiIiIiLSmBhW\nM5ycmp2drWkJ9WTmp4f4eHc+/9zyArEd2hJwz2983SQv+hjLv6i//Yv627+ov/1H1bSEhqJFZKVW\n27OPszIzj9sc+4k9loXthjt93SQRERGR01K4lRq5TIuZnx0iMTqQa9a+jDF0BEbrdr5uloiIiMhp\nNfg6t9I0vb89h6x8J09bXxKAhTHyJl83SUREROSMNHIr1RwpKmfulqOM6BBIwrr5GCNuxIiI9HWz\nRERERM5I4Va8WJbFS18cItwRwC3bFkBULMZV1/u6WSIiIiJnReFWvHyyr4jP9xdzVzsnIZvSMW64\no1HciUxERETkbCjcikdJeQUvf36YpHZhDFjzOnROxOh/ha+bJSIiInLWFG7FY86WoxSVVTA5aC/G\nDzuw3TgJw6YfEREREWk6lFwEgJ05pSz9LpebL40h7v3XodcAjIt6+rpZIiIiInWicCtUmBYzPz1E\nx6ggrjuwHnKPYhs30dfNEhEREakzhVthxfd5ZOaUck/PCAKWzcNIuQajbQdfN0tERESkzhRu/dyx\nknLe2pzNNYnRXLRhEZgmxvW3+LpZIiIiIudE4dbPvfrlERx2g592MLHWLsW4dhxGZLSvmyUiIiJy\nThRu/diX+4tYv7eQn/VtRdjityAiCiN1tK+bJSIiInLOFG79lNNl8p/PD9OrTSgpFQexvlyPMfZ2\njKAgXzdNRERE5Jwp3PqpeduOkXvcxd1JrbHmvwYdu2AMHOrrZomIiIicF4VbP7Q3z8nCb44x/rIW\ntMv8EnZuxzZ+EoYtwNdNExERETkvCrd+xrQs/v3ZIdpEOLiheyTmu7Pgsn4Yl/T2ddNEREREzpvC\nrZ9ZvTOfb7KPM7V/a+zpKyH7MLbxE33dLBEREZF6oXDrR/JLXczadIShXSLpGWlhLZ6LkZyK0b6z\nr5smIiIiUi8Ubv3I6xuPYAGT+rbCWjYfysswRt3q62aJiIiI1BuFWz+x5VAxa38o4M4+rYgqOoa1\nejHGNTdgRMf6umkiIiIi9Ubh1g+UV5j8+7PD9IgLIbVrFNbC2RAWgXHNWF83TURERKRe2c9loxUr\nVrB48WLy8vKIj49n0qRJJCYmnrb+ypUryc7OJi4ujrFjx5KSkuJ5/8MPP+Tf//631zaBgYHMnj37\nXJonp1jwTQ6Hi8r4TUoXjD2ZmJ99hHHH/RhBwb5umoiIiEi9qnO4zcjI4K233mLKlCkkJiaydOlS\nnnjiCWbMmEFkZGS1+mlpacydO5epU6eSkJBAZmYmL774IuHh4fTt29dTLzQ0lBkzZmBZFgCGYZzH\naUmVAwVlzN92jDE9YukY5cB8+XVo3xlj8FW+bpqIiIhIvavztISlS5eSmprKkCFDaN++PZMnTyYo\nKIi1a9fWWH/dunWkpqYycOBAWrVqxaBBg7jqqqtYtGhRtbqRkZFERUURFRVVY1CWurEsi/98fojY\nUDs39WwJX30GO7ZhGz9RN2wQERGRZqlOI7cul4tdu3YxduyJuZqGYdCzZ0927NhR4zbl5eU4HA6v\nMofDQWZmJqZpYrO583VpaSn33XcfpmnSpUsXbr31Vjp06FDX85GTfLy7gK8OlfD7oR1wYGIueAN6\n9IJL+55xWxEREZGmqE4jt4WFhZimSVRUlFd5VFQUeXl5NW7Tq1cvVq9eza5duwDYuXMna9asweVy\nUVBQAEC7du245557ePTRR3nggQewLItp06aRk5NzLuckQJGzglc3HmFwpwj6tQ/HSk+Dwwfct9nV\nlMr342UAACAASURBVA8RERFpps7pgrK6GDduHPn5+UybNg3LsoiOjmbo0KEsWrTIM2rbvXt3unfv\n7tmme/fuPPzww3zwwQdMmDChoZvYLL25OZsyl8XP+7XCOl6C9f5/MX78E4xOCb5umoiIiEiDqVO4\njYiIwGazkZ+f71Wen59PdHR0jds4HA6mTp3KlClTyMvLIyYmhlWrVhESElLrvNqAgADi4+M5dOhQ\nrW1JT09n/fr1XmWtW7dm4sSJREZGei5M80fbDhayMjOPB1O60K1Da4rffpESZykxE+8jILZ5rWsb\nGBhIbDM7J6md+tu/qL/9i/rbf1R9gvzGG29w+PBhr/cGDx5McnLyee2/TuHWbreTkJDA1q1bSUpK\nAtwXLW3bto3hw4efdlubzeb5oc3IyKBfv3611jVNk6ysLPr06VNrneTk5FpPvqCggPLy8jOdTrPk\nMi3++sFuEmODGdLewbHMHZiL/4cxbAz5hh2a2VSP2NhYTV/xI+pv/6L+9i/qb/8RGBhIXFwcEydO\nbJD913lawsiRI5k5cyYJCQmepcCcTidDhw4FYM6cOeTk5HD//fcDcPDgQTIzM+nWrRtFRUUsWbKE\nrKwsz/sA8+fPp3v37rRp04bi4mIWLVrE0aNHueoqLVdVV+9vzyEr38nfro0nwGZgvjcbgkMwht/g\n66aJiIiINLg6h9tBgwZRWFjIvHnzPDdxeOyxxzxTDPLy8jh27Jinvvn/27v7uCrrPP/jr+t4DgjK\nrYA3KCBipoZa6GbAilNsPbr5NWOOWr+spNRYH81OszO7PWbtPqmd2ppmm5qdnWzsYTdK/TbwZvPe\nGsFuxJuE1AwZFQUNhQMHuZHDuX5/mGc8giYIHjjn/Xw8fMzwPd/rOp+Lr9rbi8+5vi4Xq1atoqKi\nAqvVytixY1m0aBFRUVHuOadOneKPf/wjdrud/v37M3z4cBYtWkRsbGwXXKL/+K6+hWW7T3D7VRGM\niOyLebgM8/PNGP83G6NvsLfLExEREel2humDzalVVVV+15ZgmiY5nx6hrLqZ3/+f4QRZLbh++yTU\nnMTy9GsYfXzzubb6MZZ/0Xr7F623f9F6+4+zbQndpcObOEjP9PmRerYdPcW8iQMJtvWBkh2w96sz\nGzb4aLAVEREROZ/CrQ9oaGnlT9uOMym2H5OH9cdsbcX1wVswKhnGTfJ2eSIiIiJXjMKtD/hoTzX1\np1uZP3EQhmFgFm6AynIsM7Rhg4iIiPgXhdtezjRNPvlrLT9KDCOmvw2zqRFzxXsY12dgxCd5uzwR\nERGRK0rhtpf79mQT351ykh4fAoC57iM4VY8x7T4vVyYiIiJy5Snc9nKFhx2E9+3DmOhgTPtJzLUf\nYWTeiTEgxtuliYiIiFxxCre9mGmaFByqIzUuhD4WA3PF+xAQgHHrT71dmoiIiIhXKNz2YvtPNnGi\nwUl6XCjmkYOYBRsw7rgHI7ift0sTERER8QqF216s4FAdEUFWro4OwvX/lkD0IIyMW7xdloiIiIjX\nKNz2Ui7TpPCwg9S4ECz7voKSHVim349htXm7NBERERGvUbjtpb450cjJBifpcSG4Nq+G+CS49gZv\nlyUiIiLiVQq3vVThIQeRQVZGhVth71cYKWnasEFERET8nsJtL3S2JSEtLgTLt19DcxPGuIneLktE\nRETE6xRue6F9VY1UNzpJiwvB3L0NIqNhSJy3yxIRERHxOoXbXqjgsIMBQVauiuqLWVyEMW6iWhJE\nREREULjtdVpdJlsPO0iND8FyvAKqjmEkqyVBREREBBRue519VY3UNH6/cUPxNrAFwKhx3i5LRERE\npEdQuO1lCg7XERX8fUvC7iK4ehxGYKC3yxIRERHpERRue5GzLQlpcSEYjQ1QukdPSRARERE5h8Jt\nL7KnqgF7Uytp8aGwZye0tmIkT/J2WSIiIiI9hsJtL1J4yEF0sJWrBnzfkhAbjzEg2ttliYiIiPQY\nCre9RKvLZGu548xdW9PELNmupySIiIiInEfhtpf4+rsGaptaSY8PgUOl4KjFGKeWBBEREZFzKdz2\nEgWHHMT0s5EU2ffMrmTB/SFxlLfLEhEREelRrJ05aM2aNaxcuRK73U5CQgJZWVkkJSVddP7atWup\nqqoiOjqaadOmMWXKlHbnFhYW8p//+Z9MmjSJX/3qV50pz+e0ukw+K3eQOSIMwzBw7S7CuOY6jD59\nvF2aiIiISI/S4Tu3W7duZenSpcycOZMXX3yR+Ph4cnJyqKura3f+unXrWLZsGbNmzeKVV15hxowZ\nLF68mB07drSZ+9133/HOO+8wevTojl+JDys+3kBdcytpcaGY9mo4fADUbysiIiLSRofD7erVq8nM\nzCQjI4PY2FjmzZtHYGAgmzdvbnf+li1byMzMZPLkycTExJCamspNN91Efn6+xzyXy8Vrr73GzJkz\niYmJ6dzV+KjCw3UM6m9jRGQgZnERGBaMa67zdlkiIiIiPU6Hwq3T6aSsrIzk5GT3mGEYJCcns3//\n/naPaWlpISAgwGMsICCA0tJSXC6Xe+zDDz8kLCyMH/3oRx0pyec5XSafldef2bjBMM6E2xGjMPqH\ners0ERERkR6nQ+HW4XDgcrkICwvzGA8LC8Nut7d7zPjx49m4cSNlZWUAHDhwgE2bNuF0Ot2tDPv2\n7WPz5s1kZ2d35hp8WvHxBhzNraTHh2K2tMCeXXoEmIiIiMgFdOoDZR0xffp0amtrefzxxzFNk/Dw\ncKZOnUp+fj4Wi4WmpiZ+//vf8/DDD9O/f//uLqfXKThUx+AQG8MjAmHvLmhu0pa7IiIiIhfQoXAb\nEhKCxWKhtrbWY7y2tpbw8PB2jwkICCA7O5v58+djt9uJiIhg/fr1BAUFERoaysGDB6mqquI3v/mN\n+5iz7Qr33HMPv/vd79rtwS0oKKCwsNBjbODAgcyZM4fQ0FBM0+zIpfVIzlYXXxwp5SfJAxkwYAD1\n+0toHhBDZPJ1GIbh7fJ6BJvNRmRkpLfLkCtE6+1ftN7+RevtP85mmCVLlnD8+HGP19LS0khPT7+s\n83co3FqtVhITEykuLmbixDN3D03TpKSkhFtvvfWix1osFvdv2q1bt5KSkgJAbGwsL7/8ssfc999/\nn6amJrKyshgwYEC750tPT7/gxdfV1dHS0tKRS+uRdlTU42h2khJjo7q6mtZtBRhjr6OmpsbbpfUY\nkZGRVFdXe7sMuUK03v5F6+1ftN7+w2azER0dzZw5c7rl/B1uS7j99tt54403SExMJCkpidWrV9Pc\n3MzUqVMBeO+996iuruaRRx4BoLKyktLSUkaOHEl9fT2rVq2ivLzc/brNZmPo0KEe79GvXz8Mw2gz\n7m8KDjkYEhJAQngg5rGj8F0lxsy53i5LREREpMfqcLhNTU3F4XCQm5vr3sRh4cKFhIae+fS+3W7n\n5MmT7vkul4tVq1ZRUVGB1Wpl7NixLFq0iKioqK67Ch/U0mry+REHt18V8f3GDdvAFgBXj/N2aSIi\nIiI9lmH6QnPqeaqqqnp9W0LR0Xqe++QIv7stgYSIvrS+/DhYbfT5+VPeLq1H0Y+x/IvW279ovf2L\n1tt/nG1L6C4d3sRBrozCw3UMDQ0gPjwQs7EBvv1aT0kQERER+QEKtz1QS6uLL8rrSYs/s3EDe3ZB\na6uebysiIiLyAxRue6BdlQ2canGRHnemj9ks3gZD4jCiBnq5MhEREZGeTeG2Byo4XMewsADiwgMx\nXS7M3UW6aysiIiJyCRRue5jTrS6+PFLvvmvLoQPgqFW/rYiIiMglULjtYXZWnqKhxUVqfAjwfUtC\ncD8YMdrLlYmIiIj0fAq3PUzhIQfxYYHEhQUCnGlJGHsdRp8+Xq5MREREpOdTuO1BzrYkpJ29a1tb\nA4dKQf22IiIiIpdE4bYH2Vlxikani7S4sy0JRWAYGNekeLkyERERkd5B4bYHKTjsICE8kKFnWxKK\niyBxFEZIqJcrExEREekdFG57iGbneS0JzhbYs0uPABMRERHpAIXbHmJH5SmanC7Szj4C7Ns90NSo\ncCsiIiLSAQq3PUThoTqGRwQSGxoAnHlKAuEDYNhwL1cmIiIi0nso3PYAzU4X246es3EDYO7ehjFu\nIoZheLEyERERkd5F4bYH2F5RT5PT/Fu/7fEK+K5CLQkiIiIiHaRw2wMUHHKQGBHI4JDvWxKKt4HV\nBqPHe7kyERERkd5F4dbLmpwuio7WkxZ/bktCEYy6BiOwrxcrExEREel9FG69bPvReppbzb9t3NDU\nAPu/xkie5OXKRERERHofhVsvKzjsYERkX3dLAnt2QasTY5z6bUVEREQ6SuHWixpbzrQkpH9/1xa+\nb0kYPAwjepAXKxMRERHpnRRuvajoaD2nW895SoLLhVmyXU9JEBEREekkhVsvKjxcx8gBfRnY//uW\nhPIyqK1RS4KIiIhIJynceklDSyvbK065P0gG37ckBPWDEaO9WJmIiIhI72XtzEFr1qxh5cqV2O12\nEhISyMrKIikp6aLz165dS1VVFdHR0UybNo0pU6a4X//yyy/56KOPOHbsGE6nk8GDB3PHHXd4zPE1\nRUdPnWlJOHdXsuIijLHXYlg7tSwiIiIifq/DKWrr1q0sXbqU+fPnk5SUxOrVq8nJyeF3v/sdoaGh\nbeavW7eOZcuWkZ2dTWJiIqWlpfzxj3+kf//+XHfddQD079+fu+66i9jYWKxWK0VFRfzhD38gPDyc\ncePGXf5V9kAFh+q4akBfYvrbADDrauCv+2HqbV6uTERERKT36nBbwurVq8nMzCQjI4PY2FjmzZtH\nYGAgmzdvbnf+li1byMzMZPLkycTExJCamspNN91Efn6+e86YMWOYNGkSQ4YMISYmhttuu424uDj2\n7dvX+SvrwRpaWtlRcYr0czduKN4BhoGRnOLFykRERER6tw6FW6fTSVlZGcnJye4xwzBITk5m//79\n7R7T0tJCQECAx1hAQAClpaW4XK52jykuLqayspIxY8Z0pLxe48sj9bS4TFLP7bct3gYJIzFCwrxY\nmYiIiEjv1qG2BIfDgcvlIizMM4CFhYVRUVHR7jHjx49n48aNTJw4kcTERA4cOMCmTZtwOp3U1dUR\nHh4OQENDA9nZ2bS0tNCnTx/mzp3LNddc08nL6tkKDzsYFRVEdL/vWxKcTtizC+Pmn3i5MhEREZHe\nrds/uTR9+nRqa2t5/PHHMU2T8PBwpk6dSn5+PhbL324cBwUF8dJLL9HU1ERxcTFvv/02MTExPnf3\n9tTpMy0JD1wb/bfB0j3Q2KAtd0VEREQuU4fCbUhICBaLhdraWo/x2tpa9x3Y8wUEBJCdnc38+fOx\n2+1ERESwfv16goKCPD6AZhgGAwcOBCA+Pp4jR46Ql5d3wXBbUFBAYWGhx9jAgQOZM2cOoaGhmKbZ\nkUu7Yr7c9x1Ol8lt44YR2T8QgPr9xTRHRhE5YSKGYXi5wt7FZrMRGRnp7TLkCtF6+xett3/RevuP\ns1lnyZIlHD9+3OO1tLQ00tPTL+v8HQq3VquVxMREiouLmTjxzEYDpmlSUlLCrbfeetFjLRaL+zft\n1q1bSUm5+AenTNOkpaXlgq+np6df8OLr6uoueqw3rdtTyejoIKynT1FdfQqA1m0FGGOvo6amxsvV\n9T6RkZFUV1d7uwy5QrTe/kXr7V+03v7DZrMRHR3NnDlzuuX8HW5LuP3223njjTdITEx0PwqsubmZ\nqVOnAvDee+9RXV3NI488AkBlZSWlpaWMHDmS+vp6Vq1aRXl5uft1gLy8PBITExk0aBAtLS3s2LGD\nLVu2MG/evK65yh6i/nQrOytPMefaGPeY+V0lHDuKcdcDXqxMRERExDd0ONympqbicDjIzc11b+Kw\ncOFCd4uB3W7n5MmT7vkul4tVq1ZRUVGB1Wpl7NixLFq0iKioKPecpqYmFi9eTHV1NQEBAQwZMoR/\n+qd/YvLkyV1wiT3Hl0fqaXVx3lMSisBqhdHjvViZiIiIiG8wzJ7anHoZqqqqemRbwrOby2lscfHC\nzfHusdbfPgWY9PnFs94rrBfTj7H8i9bbv2i9/YvW23+cbUvoLh3exEE6p765lV2V523c0NQI+4sx\nxukpCSIiIiJdQeH2Cvn8iAOXCTec05LA3q/A6cRInui9wkRERER8iMLtFVJ4yMHYmCAig/7W5mwW\nF8GgWIyYwV6sTERERMR3KNxeAXXNrXx17BRp57YkmCZmcZHu2oqIiIh0IYXbK+CLcgcmcMOwc1oS\nysvAXq1wKyIiItKFFG6vgILDDsbGBBNxbkvC7m0QFAwjfWt7YRERERFvUrjtZnVNTnYfO0XauR8k\nA8zdRTBmAobV5qXKRERERHyPwm03+/xIPeD5lATTUQsHv8VI1iPARERERLqSwm03KzhUxzUDgwnv\ne+5TEraDaWIkX+fFykRERER8j8JtN6ptclJ8vIH0uFDPF4qLIGEkRmiEdwoTERER8VEKt93os3IH\nAJOH9XePmU4n5tc7tCuZiIiISDdQuO1GhYccjBsYTNg5LQkc2AuNDRjj9AgwERERka6mcNtN7I1O\nSr5r8Ni4Ab5/SkJYBAxL9FJlIiIiIr5L4bab/K0l4bxHgBUXYVyTgmHRt15ERESkqylhdZPCww7G\nD+pHaGAf95hZdQwqy9WSICIiItJNFG67QU2jk6+/ayA9vp2NG/pYYcwEL1UmIiIi4tsUbrvBZ+UO\nDOD6oee3JGyDq8Zi9A32TmEiIiIiPk7hthsUHqpj/KB+hJzbktDcBN+UqCVBREREpBsp3Hax6kYn\nX3/XSNp5LQns/QqcLdpyV0RERKQbKdx2sc8OO+hjgcltWhKKIGYIxsAhXqpMRERExPcp3Haxgu9b\nEvqf25Jgmpi7i9SSICIiItLNFG670MmGFvZWNZJ+3sYNlP8V7Ce15a6IiIhIN1O47UJbv29J+Luh\n/T3GzeIi6BsEI8d4qTIRERER/6Bw24UKDzu4dnA/+gf08Rg3i4tgzAQMq81LlYmIiIj4B2tnDlqz\nZg0rV67EbreTkJBAVlYWSUlJF52/du1aqqqqiI6OZtq0aUyZMsX9+saNG/nLX/7C4cOHAUhMTOSe\ne+656Dl7mhPftyQ8esNgj3HTUQdl32Dc/4iXKhMRERHxHx2+c7t161aWLl3KzJkzefHFF4mPjycn\nJ4e6urp2569bt45ly5Yxa9YsXnnlFWbMmMHixYvZsWOHe86ePXtIS0vj6aefJicnhwEDBpCTk0NN\nTU3nr+wK23rYgdVitG1JKNkOpomRrA+TiYiIiHS3Dofb1atXk5mZSUZGBrGxscybN4/AwEA2b97c\n7vwtW7aQmZnJ5MmTiYmJITU1lZtuuon8/Hz3nJ/97GfcfPPNxMfHM2TIELKzs3G5XBQXF3f+yq4w\n04Spw0Ppd15LAsVFEJ+EERbhncJERERE/EiH2hKcTidlZWVMmzbNPWYYBsnJyezfv7/dY1paWggI\nCPAYCwgIoLS0FJfLhcXSNl83NzfT2tpK//7927zWU/14dGSbMbO1FfPrHRg3/R8vVCQiIiLifzp0\n59bhcOByuQgLC/MYDwsLw263t3vM+PHj2bhxI2VlZQAcOHCATZs24XQ6L9jK8O677xIZGcm4ceM6\nUl7Pc2AvNJzSrmQiIiIiV0inPlDWEdOnT6e2tpbHH38c0zQJDw9n6tSp5Ofnt3vXNi8vj88++4yn\nn34aq7Xby+tW5u4iCA2H+BHeLkVERETEL3QoPYaEhGCxWKitrfUYr62tJTw8vN1jAgICyM7OZv78\n+djtdiIiIli/fj1BQUGEhnpudrBixQry8/N58sknGTZs2EVrKSgooLCw0GNs4MCBzJkzh9DQUEzT\n7MildYvqPTuxpqQSGhXl7VJ8ls1mIzKybUuI+Catt3/RevsXrbf/MAwDgCVLlnD8+HGP19LS0khP\nT7+s83co3FqtVhITEykuLmbixDOf/jdNk5KSEm699daLHmuxWNy/abdu3UpKSorH6/n5+eTl5bFw\n4UKGDx/+g7Wkp6df8OLr6upoaWm5lEvqNuaJ47jK/4p5+yyqq6u9Wosvi4yM1PfXj2i9/YvW279o\nvf2HzWYjOjqaOXPmdMv5O/xz/9tvv5033niDxMREkpKSWL16Nc3NzUydOhWA9957j+rqah555Mxz\nXSsrKyktLWXkyJHU19ezatUqysvL3a/DmVaEDz74gJ///OdERUW5+3f79u1L3759u+AyrzyzuAj6\nWGHMBG+XIiIiIuI3OhxuU1NTcTgc5ObmujdxWLhwobvFwG63c/LkSfd8l8vFqlWrqKiowGq1Mnbs\nWBYtWkTUOT+qX79+PU6nk5dfftnjvWbMmMFPf/rTzl6bV5m7i2DkGIygYG+XIiIiIuI3DLMnNKd2\nsaqqKq+2JZjNzbh+cS/GT2ZjufknXqvDH+jHWP5F6+1ftN7+RevtP862JXSXDm/iIJdg325oOY0x\nTruSiYiIiFxJCrfdwNy9DWIGw8BYb5ciIiIi4lcUbruYaZqYxUUYyRPdj7oQERERkStD4barHT0I\nNSfUkiAiIiLiBQq3XczcXQSBfWHkNd4uRURERMTvKNx2MbO4CEZPwLDZvF2KiIiIiN9RuO1CZn0d\nHPhGLQkiIiIiXqJw24XMkh1gujCSU354soiIiIh0OYXbrlRcBHEjMMIHeLsSEREREb+kcNtFzNZW\nzJIdakkQERER8SKF265S9g001GMkK9yKiIiIeIvCbRcxd2+DkDBIGOntUkRERET8ltXbBfgKY/Q4\niB6EYdG/F0RERES8ReG2ixhjrkWb7YqIiIh4l24zioiIiIjPULgVEREREZ+hcCsiIiIiPkPhVkRE\nRER8hsKtiIiIiPgMhVsRERER8RkKtyIiIiLiMxRuRURERMRnKNyKiIiIiM/o1A5la9asYeXKldjt\ndhISEsjKyiIpKemi89euXUtVVRXR0dFMmzaNKVOmuF8/cuQIy5cvp6ysjBMnTvDAAw9w2223daY0\nEREREfFjHb5zu3XrVpYuXcrMmTN58cUXiY+PJycnh7q6unbnr1u3jmXLljFr1ixeeeUVZsyYweLF\ni9mxY4d7TnNzMwMHDuTee+8lPDy881cjIiIiIn6tw+F29erVZGZmkpGRQWxsLPPmzSMwMJDNmze3\nO3/Lli1kZmYyefJkYmJiSE1N5aabbiI/P989Z8SIEcyePZvU1FSs1k7dTBYRERER6Vi4dTqdlJWV\nkZyc7B4zDIPk5GT279/f7jEtLS0EBAR4jAUEBFBaWorL5epEySIiIiIi7etQuHU4HLhcLsLCwjzG\nw8LCsNvt7R4zfvx4Nm7cSFlZGQAHDhxg06ZNOJ3OC7YyiIiIiIh0Rrf3AEyfPp3a2loef/xxTNMk\nPDycqVOnkp+fj8XSPQ9rUGuD/zAMA5vN5u0y5ArRevsXrbd/0Xr7j+7OaR06e0hICBaLhdraWo/x\n2traC34QLCAggOzsbObPn4/dbiciIoL169cTFBREaGhopwsvKCigsLDQY2z06NHceeedREREdPq8\n0vtER0d7uwS5grTe/kXr7V+03v5lxYoV7N2712MsLS2N9PT0yzpvh8Kt1WolMTGR4uJiJk6cCIBp\nmpSUlHDrrbde9FiLxUJkZCRw5okLKSkpnSz5jPT09HYvfsWKFdx5552XdW7pPZYsWcKcOXO8XYZc\nIVpv/6L19i9ab/9yNq91R2brcF/A7bffzsaNG/n00085evQof/rTn2hubmbq1KkAvPfee/z+9793\nz6+srGTLli0cO3aM0tJSXn31VcrLy7nnnnvcc5xOJwcPHuTgwYM4nU6qq6s5ePAgx44d6/AFnf8v\nAPFtx48f93YJcgVpvf2L1tu/aL39S3fmtQ43PaSmpuJwOMjNzXVv4rBw4UJ3i4HdbufkyZPu+S6X\ni1WrVlFRUYHVamXs2LEsWrSIqKgo95yamhoee+wx99crV65k5cqVjBkzhqeeeupyrk9ERERE/Ein\nOnpvueUWbrnllnZfW7BggcfXsbGx/OY3v7no+aKjo1m+fHlnShERERERceuexxWIiIiIiHhBn6ef\nfvppbxfR1eLi4rxdglxBWm//ovX2L1pv/6L19i/dtd6GaZpmt5xZREREROQKU1uCiIiIiPgMhVsR\nERER8RkKtyIiIiLiMxRuRURERMRndOo5tz3VmjVrWLlypXtziaysLJKSkrxdllyGjz76iC+//JKK\nigoCAgK46qqruPfeexkyZIjHvOXLl7Np0yZOnTrFqFGjmDdvHoMGDfJS1dJV8vLyeP/997ntttt4\n4IEH3ONab99RXV3Nu+++y65du2hubmbw4MH84z/+I4mJie45Wm/f4HK5yM3NpaCgALvdTkREBFOn\nTmX69Oke87TevdPevXtZsWIFZWVl2O12/uVf/oWJEyd6zPmhtW1paeHtt9/ms88+o6WlhfHjxzN3\n7lzCwsI6VIvP3LndunUrS5cuZebMmbz44ovEx8eTk5NDXV2dt0uTy7Bv3z5uvfVWcnJyeOKJJ2ht\nbSUnJ4fTp0+75+Tl5bFmzRrmz5/P888/T2BgIDk5OTidTi9WLpertLSUDRs2EB8f7zGu9fYdp06d\n4oknnsBms7Fw4UJ++9vfct9999G/f3/3HK2378jLy2PDhg3MnTuXV199ldmzZ7NixQrWrFnjMUfr\n3Ts1NzeTkJDA3Llz2339UtZ2yZIl7Ny5k1/+8pc888wz1NTU8PLLL3e4Fp8Jt6tXryYzM5OMjAxi\nY2OZN28egYGBbN682dulyWX49a9/zZQpUxg6dChxcXEsWLCAEydOUFZW5p7z8ccfM336dFJSUoiL\ni+ORRx6hurqaL7/80ouVy+VoamritddeIzs7m379+nm8pvX2HXl5eURFRZGdnU1iYiLR0dGMGzeO\nmJgY9xytt+/Yv38/EydOZMKECURFRXH99dczbtw4SktL3XO03r3XhAkTmDVrFpMmTWr39R9aBmGC\nLQAADQ9JREFU24aGBjZv3swDDzzAmDFjGD58OAsWLOCbb77x+D1yKXwi3DqdTsrKykhOTnaPGYZB\ncnIy+/fv92Jl0tUaGhoA3Hd2vvvuO+x2u8faBwcHM3LkSK19L/bmm2+SkpLCNddc4zGu9fYt27dv\nZ8SIEbzyyivMmzePxx57jI0bN7pf13r7llGjRlFSUkJlZSUABw8e5JtvvuHaa68FtN6+7FLWtqys\njNbWVo+/94cMGUJUVFSH198nem4dDgcul6tNT0ZYWBgVFRVeqkq6mmmaLFmyhKuvvpqhQ4cCYLfb\nAdpd+7OvSe9SWFjIoUOHeOGFF9q8pvX2LcePH2fdunXccccd3HXXXZSWlvLnP/8Zm83GlClTtN4+\n5ic/+QmNjY08+uijWCwWTNPk7rvvJi0tDdCfb192KWtrt9uxWq0EBwdfcM6l8olwK/7hzTff5MiR\nIzz33HPeLkW6ycmTJ1myZAlPPPEEVqv+evJ1pmkyYsQI7r77bgASEhIoLy9n/fr1TJkyxcvVSVfb\nunUrBQUFPProowwdOpSDBw+yZMkSIiMjtd7SpXzivx4hISFYLBZqa2s9xmtrawkPD/dSVdKVFi9e\nzM6dO3n22WeJiIhwj59d3/PXura2loSEhCtdplymsrIy6urqeOyxx9xjLpeLPXv2sGbNGl599VVA\n6+0rIiIiiI2N9RiLjY119+Dpz7dveeedd5g2bRo33HADAMOGDaOqqoqPPvqIKVOmaL192KWsbXh4\nOE6nk4aGBo+7t53Jcj7Rc2u1WklMTKS4uNg9ZpomJSUljBo1youVSVdYvHgxRUVFPPXUU0RFRXm8\nFhMTQ3h4uMfaNzQ08O2332rte6Hk5GRefvllXnrpJfevxMRE/v7v/56XXnqJgQMHar19yKhRo9q0\njlVUVLj/nOvPt285ffo0Fotn7DAMA9M0Aa23L7uUtU1MTKRPnz6UlJS451RUVHDixAmuuuqqDr1f\nn6effvrpLqncy4KCgsjNzWXAgAHYbDaWLVvGoUOHyM7OJjAw0NvlSSe9+eabFBYW8s///M+Eh4fT\n1NREU1MTFouFPn36AGfu7OXl5REbG4vT6eStt97C6XTy4IMPtvmLVHo2q9VKaGiox6/CwkIGDhzo\n/rGl1tt3REVF8eGHH2KxWIiIiGDXrl18+OGH3H333cTFxQFab19y9OhRPvnkE4YMGYLVauXrr79m\n2bJlpKenuz9opPXuvZqamjhy5Ah2u50NGzaQlJREQEAATqeT4ODgH1xbm81GTU0Na9asISEhgfr6\nev70pz8RFRXV5lnIP8Qwz/6TyQesXbuWFStWuDdxePDBBxkxYoS3y5LLMGvWrHbHFyxYQEZGhvvr\n3NxcNm7cyKlTpxg9ejQPPfSQHvrtI5555hkSEhI8NnHQevuOHTt28N5773Hs2DFiYmK44447uPHG\nGz3maL19Q1NTE8uXL+fLL7+krq6OiIgI0tPTmT59uvtmBWi9e6s9e/bwzDPPtBnPyMhgwYIFwA+v\nbUtLC0uXLqWwsJCWlhYmTJjAQw891OFNHHwq3IqIiIiIf9M9fhERERHxGQq3IiIiIuIzFG5FRERE\nxGco3IqIiIiIz1C4FRERERGfoXArIiIiIj5D4VZEREREfIbCrYiIiIj4DIVbEREREfEZCrciIt3g\nk08+YdasWZSVlXm7lC7ji9ckIr7H6u0CREQ645NPPuEPf/jDBV/PyckhKSnpClYkIiI9gcKtiPRq\ns2bNIiYmps34oEGDvFCNiIh4m8KtiPRqEyZMIDEx0dtlSBdqbm4mMDDQ22WISC+lcCsiPq2qqopH\nHnmE++67D8Mw+N///V9qa2tJSkrioYceYtiwYR7zS0pKyM3N5a9//StWq5XRo0dz7733Ehsb6zGv\nurqa5cuXs2vXLurr64mIiGDChAlkZWXRp08f9zyn08nbb7/Nli1baG5uZvz48Tz88MOEhIRctO7X\nX3+dL774gldffZU333yTkpISAgICyMjIYPbs2RiGAcCePXt45plneOqppxgzZkyb616wYAEZGRke\n53zllVd488032bNnD8HBwUybNo1bbrmFw4cPs2TJEr799ltCQ0O55557SE9Pb1Nbc3Mz//3f/80X\nX3yB0+lk0qRJZGVl0a9fP495O3fuJC8vj7KyMiwWC6NHj2b27NkMHTq0zXW+9NJLvPXWW+zbt4/k\n5GR+9atfXfT7IyJyIfpAmYj0ag0NDTgcDo9f9fX1beZ9+umnrFmzhltuuYVp06ZRXl7Os88+S11d\nnXvO7t27ycnJweFwMHPmTO644w7279/Pk08+yYkTJ9zzampq+PWvf81nn31GWloaWVlZTJkyhb17\n99Lc3OzxvosXL+bw4cPMmDGDW265he3bt7N48eIfvC7DMDBNk5ycHEJDQ7n//vsZM2YMq1atYsOG\nDZ36Xp095wsvvEBUVBSzZ88mJiaGt956i08++YTnn3+eESNGMHv2bIKCgnj99depqqpqc5633nqL\niooKZsyYQUZGBgUFBfzHf/yHx5y//OUv/Pu//zt9+/Zl9uzZTJ8+naNHj7b5XhqGQWtrKzk5OYSF\nhXHfffdx/fXXd+r6RERAd25FpJd77rnn2ozZbDbeeecdj7Fjx47x2muvER4eDsD48eNZuHAheXl5\n3H///QC88847hISEkJOTQ3BwMACTJk3iX//1X8nNzWXBggUAvPvuu9TV1fH8888zfPhw93vMnDmz\nTS2hoaEsXLjQ/bXL5eLjjz+msbGRoKCgi17b6dOnSUtL46677gIgMzOTxx57jE2bNvEP//APP/i9\nudA5p0yZwo9//GMA0tPTefjhh/mv//ovHn30USZPngxAcnIyv/jFL/j000/56U9/6nEOm83Gk08+\nicVy5v5IVFQU7777Ltu3byclJYWmpib+/Oc/k5mZybx589zHTZ06lZ///Of8z//8D/Pnz3ePO51O\nUlNTufvuuzt1TSIi51K4FZFebe7cuQwePNhj7GzoOtff/d3fuYMtQFJSEklJSezcuZP7778fu93O\noUOH+PGPf+wOtgBxcXGMGzeOnTt3AmCaJkVFRaSkpHgE2wvJzMz0+Prqq69m9erVVFVVERcX94PH\nnx9iR48ezZYtW37wuIu58cYb3f8/ODiYIUOGcOzYMXewBRgyZAjBwcEcP368zfGZmZke3+Obb76Z\n999/n507d5KSksLu3btpaGggLS0Nh8PhcWxSUhJff/11m3N2NqyLiJxP4VZEerURI0Zc0gfK2nt6\nwuDBg/n8888B3D9+HzJkSJt5sbGxfPXVV5w+fZrGxkYaGxvb9OpeyIABAzy+7t+/PwCnTp36wWMD\nAgLa9Ob269ev3baLS9XeOYODg9vUeXa8vTrP/1727duXiIgI9/fw2LFjADzzzDPt1nDuPx4A+vTp\n0+77i4h0hsKtiEg3au8uMpy5A9zZYy+Fy+Xq0Dkvp84LvffPfvYzj7vlF3ovm83W4fcQEbkQhVsR\n8QuVlZXtjkVHRwO4/7eioqLNvIqKCkJDQwkICMBmsxEUFER5eXn3FnyJzt4Jbmho8Bhv74NgXaWy\nstLjyQxNTU3U1NRw3XXXAX+7sxsaGso111zTbXWIiLRHT0sQEb+wbds2qqur3V+XlpZSWlrKtdde\nC0B4eDgJCQl8+umnHkHx8OHDfPXVV+55hmEwadIktm/f3iO2oY2KisJisbBnzx6P8bVr13bbe27Y\nsIHW1lb31+vWrcPlcrm/R+PHjycoKIiPPvrIY95Z5z6hQkSkq+nOrYj0ajt37uTo0aNtxkeNGuWx\nc9mgQYN48sknufnmmzl9+jQff/wxoaGh3Hnnne45s2fP5oUXXmDhwoXceOONNDc3s3btWvr168eM\nGTPc8+655x52797NU089RWZmJrGxsdTU1PD555/z3HPPtekp7U7BwcFMnjyZjz/+2H2d27dv79YA\n6XQ6efbZZ7nhhhuoqKhg3bp1jB49mpSUFACCgoKYO3cur7/+Oo899hipqamEhoZy4sQJdu7cyahR\no3jwwQe7rT4R8W8KtyLSq+Xm5rY7vmDBAo9wm5GR4bGJw8iRI8nKyvLoCU1OTubf/u3f+OCDD8jN\nzcVqtTJmzBjuvfded9sCQGRkJM8//zzLly+noKCAxsZGIiMjufbaa6/IzlpnN3A468EHH6S1tZUN\nGzZgs9m44YYbuO+++/jlL3/Z6XOeHWtv/KGHHmLLli188MEHOJ1O0tPTycrK8piTnp5OZGQk+fn5\nrFy5EqfTSWRkJFdffTU/+tGPLrkuEZGOMszOfFpARKSXOHeHsjvuuMPb5YiISDdTz62IiIiI+AyF\nWxERERHxGQq3IiIiIuIz1HMrIiIiIj5Dd25FRERExGco3IqIiIiIz1C4FRERERGfoXArIiIiIj5D\n4VZEREREfIbCrYiIiIj4DIVbEREREfEZCrciIiIi4jMUbkVERETEZ/x/8qusT86YVagAAAAASUVO\nRK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 5.52e-03\n",
+ " final error(valid) = 8.77e-02\n",
+ " final acc(train) = 1.00e+00\n",
+ " final acc(valid) = 9.77e-01\n",
+ " run time per epoch = 1.15s\n",
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=0.20\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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sX1sfhPq5Y/PxXAghIGJHQjmSBqWo0N6lERERETk8htsmJgmByV11+OFiETLy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\ny5qtv2TJErp06cKkSZNISkriyiuv5OKLL2bhwoXeOosWLSI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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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gsVhcuiQUFhbi9ttvh16vx9NPP42OHTvC19cXBw4cwN/+9je31LmqynpX3kdT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\n8/bbb3PTTTcxcOBAQP0OJAcOHGD9+vUkJSVhtVr57LPPWLx4MZmZmd4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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 5.21e-03\n",
+ " final error(valid) = 8.95e-02\n",
+ " final acc(train) = 1.00e+00\n",
+ " final acc(valid) = 9.76e-01\n",
+ " run time per epoch = 1.19s\n",
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=0.50\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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6h8+yAjCrqBDC28fVXSIiombIXU+zyQ8z5Czu99HNQ+k1Cn7XrQX2B8fj8Pa9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\niIiIiM9pc7hdunQpEyZMICsri7i4OGbNmkVgYCCrV69utf6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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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wZ84c3n77bWbOnMnAgQOJiIjAsixuvfXWBhlr/+iDZ8ePOgUwcOBAOnbsyJIl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\nDBHpoBRuRcSrlZaWcu+993LrrbdiGAbvv/8+lZWVJCQkcNddd3HhhRe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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 7.20e-03\n",
+ " final error(valid) = 1.02e-01\n",
+ " final acc(train) = 1.00e+00\n",
+ " final acc(valid) = 9.74e-01\n",
+ " run time per epoch = 1.16s\n",
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=1.00\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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ioiaF4daGCCEghgxHy1/2Y3yIFjvP6fDrtSJrl0VERETUZDDc2hjRayDg6o6Y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\n6xh2u3WKW8S5BOF6qKywKr7NwbcpBCsIdz0KtyIiIuLTDLs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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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nn1NUVMQbb7zh0VXh4MGDZ73WU0VFRREQEMBPP/1UZ19WVla9x9TUu2fPno1+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\n/wGmyGX9NE5wngAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 1.73e-02\n",
+ " final error(valid) = 1.31e-01\n",
+ " final acc(train) = 9.98e-01\n",
+ " final acc(valid) = 9.66e-01\n",
+ " run time per epoch = 1.29s\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Set training run hyperparameters\n",
+ "batch_size = 100 # number of data points in a batch\n",
+ "num_epochs = 100 # number of training epochs to perform\n",
+ "stats_interval = 5 # epoch interval between recording and printing stats\n",
+ "learning_rate = 0.2 # learning rate for gradient descent\n",
+ "\n",
+ "init_scales = [0.1, 0.2, 0.5, 1.] # scale for random parameter initialisation\n",
+ "final_errors_train = []\n",
+ "final_errors_valid = []\n",
+ "final_accs_train = []\n",
+ "final_accs_valid = []\n",
+ "\n",
+ "for init_scale in init_scales:\n",
+ "\n",
+ " print('-' * 80)\n",
+ " print('learning_rate={0:.2f} init_scale={1:.2f}'\n",
+ " .format(learning_rate, init_scale))\n",
+ " print('-' * 80)\n",
+ " # Reset random number generator and data provider states on each run\n",
+ " # to ensure reproducibility of results\n",
+ " rng.seed(seed)\n",
+ " train_data.reset()\n",
+ " valid_data.reset()\n",
+ "\n",
+ " # Alter data-provider batch size\n",
+ " train_data.batch_size = batch_size \n",
+ " valid_data.batch_size = batch_size\n",
+ "\n",
+ " # Create a parameter initialiser which will sample random uniform values\n",
+ " # from [-init_scale, init_scale]\n",
+ " param_init = UniformInit(-init_scale, init_scale, rng=rng)\n",
+ "\n",
+ " # Create a model with three affine layers\n",
+ " hidden_dim = 100\n",
+ " model = MultipleLayerModel([\n",
+ " AffineLayer(input_dim, hidden_dim, param_init, param_init),\n",
+ " SigmoidLayer(),\n",
+ " AffineLayer(hidden_dim, hidden_dim, param_init, param_init),\n",
+ " SigmoidLayer(),\n",
+ " AffineLayer(hidden_dim, output_dim, param_init, param_init)\n",
+ " ])\n",
+ "\n",
+ " # Initialise a cross entropy error object\n",
+ " error = CrossEntropySoftmaxError()\n",
+ "\n",
+ " # Use a basic gradient descent learning rule\n",
+ " learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n",
+ "\n",
+ " stats, keys, run_time, fig_1, ax_1, fig_2, ax_2 = train_model_and_plot_stats(\n",
+ " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)\n",
+ "\n",
+ " plt.show()\n",
+ "\n",
+ " print(' final error(train) = {0:.2e}').format(stats[-1, keys['error(train)']])\n",
+ " print(' final error(valid) = {0:.2e}').format(stats[-1, keys['error(valid)']])\n",
+ " print(' final acc(train) = {0:.2e}').format(stats[-1, keys['acc(train)']])\n",
+ " print(' final acc(valid) = {0:.2e}').format(stats[-1, keys['acc(valid)']])\n",
+ " print(' run time per epoch = {0:.2f}s').format(run_time * 1. / num_epochs)\n",
+ "\n",
+ " final_errors_train.append(stats[-1, keys['error(train)']])\n",
+ " final_errors_valid.append(stats[-1, keys['error(valid)']])\n",
+ " final_accs_train.append(stats[-1, keys['acc(train)']])\n",
+ " final_accs_valid.append(stats[-1, keys['acc(valid)']])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |\n",
+ "|------------|--------------------|--------------------|------------------|------------------|\n",
+ "| 0.1 | 5.52e-03 | 8.77e-02 | 1.00 | 0.98 |\n",
+ "| 0.2 | 5.21e-03 | 8.95e-02 | 1.00 | 0.98 |\n",
+ "| 0.5 | 7.20e-03 | 1.02e-01 | 1.00 | 0.97 |\n",
+ "| 1.0 | 1.73e-02 | 1.31e-01 | 1.00 | 0.97 |\n"
+ ]
+ }
+ ],
+ "source": [
+ "j = 0\n",
+ "print('| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |')\n",
+ "print('|------------|--------------------|--------------------|------------------|------------------|')\n",
+ "for init_scale in init_scales:\n",
+ " print('| {0:.1f} | {1:.2e} | {2:.2e} | {3:.2f} | {4:.2f} |'\n",
+ " .format(init_scale, \n",
+ " final_errors_train[j], final_errors_valid[j],\n",
+ " final_accs_train[j], final_accs_valid[j]))\n",
+ " j += 1"
+ ]
},
{
"cell_type": "markdown",
@@ -484,12 +1896,253 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 16,
"metadata": {
"collapsed": false
},
- "outputs": [],
- "source": []
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=0.10\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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fjztr1iwcPXoUQ4cO7db+8+bNw7p169DQ0NDLlfU+BtcukBUF35yuQ02jHYBzPVdeoEVE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\nWdcjPj6e//qv/+LZZ5+lV69e6u8OZPDgwc2mcxUWFrp+zvX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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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YEFp3wQUXnBRUKysrSUlJ6TTYAhQWFp7y4Ovq6vD5fGd8XHJuWdv+B/uFJzG+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\nGFKpFHFxcdiyZQsWLFgAmUyGb775BvPnz9f6gFlrSCRcBKK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RW1urMVe3MXZ2dmqvu3fv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\nAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 2.03e-03\n",
+ " final error(valid) = 1.35e-01\n",
+ " final acc(train) = 1.00e+00\n",
+ " final acc(valid) = 9.73e-01\n",
+ " run time per epoch = 1.68s\n",
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=0.20\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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Eg4PnKyGoNUAvM8MtERERkQcx3HaytOhAHDxfCUmWIZgHAid+hFx3VxUiIiIi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\nsk+H4xy+XZHaVeNwu3btWmbPns2dd95JUlISCxcuJCMjg+e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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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c6lxVVcXChQvPecxz0XWd4cOHs3btWnJyclzLv//+ezZv3lzvNnv37kXXdRIS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\nf/oTMTExlzwL+WoM8+I/mfzAunXrWLlypWcTh4cffpj+/fv7uiy5BtO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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 1.99e-03\n",
+ " final error(valid) = 1.17e-01\n",
+ " final acc(train) = 1.00e+00\n",
+ " final acc(valid) = 9.75e-01\n",
+ " run time per epoch = 1.56s\n",
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=0.50\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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WDWijYjCi9CC2GTXIL3XfywYTERERuTuGWzcxqFML+Fsr8PX+s64uhYiIiMhj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\nO9uidS1qdbhdunQpWVlZZGZmAjBjxgw++ugjVq1axaRJk5r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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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REZFTU7iVOsns3IZZ+D7WiKuxWqcGuxwRERGpJxRupc4xZeXDEVq2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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 3.07e-03\n",
+ " final error(valid) = 1.34e-01\n",
+ " final acc(train) = 1.00e+00\n",
+ " final acc(valid) = 9.71e-01\n",
+ " run time per epoch = 1.62s\n",
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=1.00\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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g+t0AANDs24lpvcLxU04pvjtVrHJVRERERO6H4bYZEIFBED2vh7JrO/pE+KN7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\nXs1vf/tbtzr//Oc/ee6552jTpg2TJ0/m1ltv5dChQw2+l8YYqqqqyMz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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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xJCcnY7fbvYYkFBQUcN111xEeHs6DDz5Ix44dCQgIYOfOnfztb3+rl5qrqqy7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\nERHxGv8fbojvG8bmhIkAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 7.72e-03\n",
+ " final error(valid) = 1.62e-01\n",
+ " final acc(train) = 1.00e+00\n",
+ " final acc(valid) = 9.62e-01\n",
+ " run time per epoch = 1.57s\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Set training run hyperparameters\n",
+ "batch_size = 100 # number of data points in a batch\n",
+ "num_epochs = 100 # number of training epochs to perform\n",
+ "stats_interval = 5 # epoch interval between recording and printing stats\n",
+ "learning_rate = 0.2 # learning rate for gradient descent\n",
+ "\n",
+ "init_scales = [0.1, 0.2, 0.5, 1.] # scale for random parameter initialisation\n",
+ "final_errors_train = []\n",
+ "final_errors_valid = []\n",
+ "final_accs_train = []\n",
+ "final_accs_valid = []\n",
+ "\n",
+ "for init_scale in init_scales:\n",
+ "\n",
+ " print('-' * 80)\n",
+ " print('learning_rate={0:.2f} init_scale={1:.2f}'\n",
+ " .format(learning_rate, init_scale))\n",
+ " print('-' * 80)\n",
+ " # Reset random number generator and data provider states on each run\n",
+ " # to ensure reproducibility of results\n",
+ " rng.seed(seed)\n",
+ " train_data.reset()\n",
+ " valid_data.reset()\n",
+ "\n",
+ " # Alter data-provider batch size\n",
+ " train_data.batch_size = batch_size \n",
+ " valid_data.batch_size = batch_size\n",
+ "\n",
+ " # Create a parameter initialiser which will sample random uniform values\n",
+ " # from [-init_scale, init_scale]\n",
+ " param_init = UniformInit(-init_scale, init_scale, rng=rng)\n",
+ "\n",
+ " # Create a model with four affine layers\n",
+ " hidden_dim = 100\n",
+ " model = MultipleLayerModel([\n",
+ " AffineLayer(input_dim, hidden_dim, param_init, param_init),\n",
+ " SigmoidLayer(),\n",
+ " AffineLayer(hidden_dim, hidden_dim, param_init, param_init),\n",
+ " SigmoidLayer(),\n",
+ " AffineLayer(hidden_dim, hidden_dim, param_init, param_init),\n",
+ " SigmoidLayer(),\n",
+ " AffineLayer(hidden_dim, output_dim, param_init, param_init)\n",
+ " ])\n",
+ "\n",
+ " # Initialise a cross entropy error object\n",
+ " error = CrossEntropySoftmaxError()\n",
+ "\n",
+ " # Use a basic gradient descent learning rule\n",
+ " learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n",
+ "\n",
+ " stats, keys, run_time, fig_1, ax_1, fig_2, ax_2 = train_model_and_plot_stats(\n",
+ " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)\n",
+ "\n",
+ " plt.show()\n",
+ "\n",
+ " print(' final error(train) = {0:.2e}').format(stats[-1, keys['error(train)']])\n",
+ " print(' final error(valid) = {0:.2e}').format(stats[-1, keys['error(valid)']])\n",
+ " print(' final acc(train) = {0:.2e}').format(stats[-1, keys['acc(train)']])\n",
+ " print(' final acc(valid) = {0:.2e}').format(stats[-1, keys['acc(valid)']])\n",
+ " print(' run time per epoch = {0:.2f}s').format(run_time * 1. / num_epochs)\n",
+ "\n",
+ " final_errors_train.append(stats[-1, keys['error(train)']])\n",
+ " final_errors_valid.append(stats[-1, keys['error(valid)']])\n",
+ " final_accs_train.append(stats[-1, keys['acc(train)']])\n",
+ " final_accs_valid.append(stats[-1, keys['acc(valid)']])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |\n",
+ "|------------|--------------------|--------------------|------------------|------------------|\n",
+ "| 0.1 | 2.03e-03 | 1.35e-01 | 1.00 | 0.97 |\n",
+ "| 0.2 | 1.99e-03 | 1.17e-01 | 1.00 | 0.97 |\n",
+ "| 0.5 | 3.07e-03 | 1.34e-01 | 1.00 | 0.97 |\n",
+ "| 1.0 | 7.72e-03 | 1.62e-01 | 1.00 | 0.96 |\n"
+ ]
+ }
+ ],
+ "source": [
+ "j = 0\n",
+ "print('| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |')\n",
+ "print('|------------|--------------------|--------------------|------------------|------------------|')\n",
+ "for init_scale in init_scales:\n",
+ " print('| {0:.1f} | {1:.2e} | {2:.2e} | {3:.2f} | {4:.2f} |'\n",
+ " .format(init_scale, \n",
+ " final_errors_train[j], final_errors_valid[j],\n",
+ " final_accs_train[j], final_accs_valid[j]))\n",
+ " j += 1"
+ ]
},
{
"cell_type": "markdown",
@@ -500,12 +2153,312 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 18,
"metadata": {
"collapsed": false
},
- "outputs": [],
- "source": []
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=0.10\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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ULoWIiIgGMQZX6jeNLGGEqIOtXqhdChEREQ1iDK4UFNlGARtMEIqidilEREQ0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\n6DKc/dqALxidM2cO2traUFJSIj2AoKCgQLqHq8l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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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I0mg0SEhI8L4+cLIFrZIaX493IDGTI64TzcX9TRMb+zu8sL/DhyAIAIDt27ej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\nLl68CKVSicDAQERHR8Pa2lqrX15eHlJSUlBUVAShUAgfHx9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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 4.75e-03\n",
+ " final error(valid) = 2.19e-01\n",
+ " final acc(train) = 1.00e+00\n",
+ " final acc(valid) = 9.64e-01\n",
+ " run time per epoch = 1.79s\n",
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=0.20\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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/sMTqIMnAEavdPbPA8aOQJUnpsoiIiIgGFQZXP0g3RUAluJd+FZLTgFY7UH1C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\nCxd6HklJSfzkJz9h4cKF9OjRQ+PdifTv37/J6VwFBQWen3P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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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zz7zAiRMn4vF4CAaDOBynvlnv2bOHvXv39inLzc1l2bJlpKWlYdt2JKcmp2Hb\nNq2P/Au+gwdIv/PnxBXN6vP4ifYunnu7hv967ziNHX4uGpvKDxcV8rnCMSSchx2vXC4Xbrd7yL/P\nQORmw6yPlXUFLY40dXK4sYPDjZ1UNnTw57qOPqF3TLKLfHcS+e4k8tyJ5HXfTk04+b9rIGix/s1q\n1v5vFbmp8Tz89xdyyYR0Rrvh3N8y+NTfsUX9HTt68t7atWupq6vr89i8efMoKSk5p+ePKNw6nU4K\nCgrYv38/s2fPBkLh58CBAyxevPiMx5qmGf6h3bdvH8XFxeHHpk+ffkpQra6uJjMzs99gC1BSUnLa\nk29pacHv95/1ecnpWZvWY//hJYxbvkvbhHxobAw/9lZNOw/srSZo2aeM0na0NtNxHtrndrtp7NWm\nkcBtgjvLwaysFCB04Vp/I717Kxp47p2ufkd699d1cKTZxxcucHNjURbxzuCIex0GYiT2twyc+ju2\nqL9jh8vlCi/5OhQinpawZMkSHn30UQoKCsJLgfl8PkpLSwFYv349jY2N3HbbbQDU1NRQXl7O1KlT\naWtrY8uWLVRVVYUfB7j88svZtm0bv/71r1m8eDE1NTU8//zzLFky8I0B5NxZu7djb9mA8fdfwZxT\nGi4PWjbPHjjBxv0NzBqfzHf+dhxpCbpw6VxEOr0hLd7Bz6/Io8A9eqd8iIiIDETEiWTu3Lm0tray\ncePG8CYOq1evDk8x8Hg8NDQ0hOtblsWWLVuorq7G6XRy4YUXcs899/RZ6mvMmDGsXr2ap59+mjvu\nuAO3282SJUv6XVpMzg97/xvYv30Uo3QxxhVLw+Ueb4Cf763mQF0HN83I4toLx4z6bWuj6XShV0RE\nRPpn2KNwcmp9fb2mJZwD+6NDWPf/EKYXYX79RxjdU0PePd7B/XuqsW2b2+eN5+Kx0d9kQx9jxRb1\nd2xRf8cW9Xfs6JmWMFT0WbL0YZ+ow3r4JzBuEubKOzAcDizb5oW/NLLu7Xo+lZ3I7SUTcGv9VBER\nERmGlFAkzG5vxXroJxCfgPnN/4MRn0CbL8iDr9bw+rE2rr1wDDddnIXD1DQEERERGZ4UbgUA29+F\n9cgaaGvG/P59GGkZfNjQyX27q+nwB/k/pROZ3b0lrYiIiMhwpXAr2JaF/esH4aNyzNvvgdzxlH3Q\nxK/fPE5+ZjxrFk0mJ+XMW+2KiIiIDAcKt4L93FrsN/ZirvoBnZOn8ujeanZ/1MqS6ZksvyQHl0PT\nEERERGSQDZFsAAAgAElEQVRkULiNcdbOzdjbX8C4cSUf5V/CfVs/orEjwD+VjGfelLRoN09EREQk\nIgq3Mcx+cx/2s09iXP4F/pD/Wf7vto8YnxrHzxfnMSEtLtrNExEREYmYwm2Mssvfw3ryAbqKP8uT\nE6/gv1+tYdEn0lk5O5d4pxnt5omIiIgMiMJtDLJrj2I9cg/VhbP4twl/T/VHrXxrzlgWfiIj2k0T\nEREROScKtzHGbmnCeugn7BtfzC8nLCHTgvv/boq2dxUREZFRQeE2htg+L76H1/CbnPmU5Xyakgkp\nfOMzY0lyOaLdNBEREZFBoXAbI+xgkLonH+Hfsv6OyrRJrCzO5cppGRiGlvkSERGR0UPhNgbYts2f\n1v+eB5MvJTEpkZ8tnMLUMYnRbpaIiIjIoFO4HeWCls3vnt/Nc+YMZid38p0l00mN1zQEERERGZ0U\nbkexxs4AP/+vd/lL5xi+En+Ma675HKamIYiIiMgopnA7Su2va+ff/nAEo93HPzve5qJrv6z5tSIi\nIjLqKdyOMpZt89y7Dax/+wQXNVfyna63cd92h4KtiIiIxASF21GkxRfkwX3VvFndzrW1e7m+fT+u\nf/oXDKe6WURERGKDUs8o8cGJTu7bfYyugMWdx17kkoYPMH94H0ZCUrSbJiIiInLeKNyOAn+sauX+\nPccozEzgu++vJ+vYfszv34uRMSbaTRMRERE5rxRuR4H/PtTMJ9wJ/PTo8zg++BPmd/4ZY/zkaDdL\nRERE5Lwzo90AOXcVTV4u9FTi+OMujOXfwZh+UbSbJCIiIhIVGrkd4Vq8ARo6AuS/uxPj2mWYfzM/\n2k0SERERiZoBhdutW7eyefNmPB4PeXl5LF++nMLCwjPW37ZtG/X19WRnZ3PNNdcwf37/IWzv3r08\n/PDDfPrTn+Z73/veQJoXUyqafADkZyVhXH5NlFsjIiIiEl0Rh9t9+/axbt06Vq5cSWFhIWVlZaxZ\ns4aHHnqItLS0U+pv376dDRs2sGrVKgoKCigvL+exxx4jJSWFWbNm9al7/Phxfvvb33LBBRcM/Ixi\nTGWTlwSri3HjsrWWrYiIiMS8iOfclpWVsWjRIhYsWMCECRNYsWIF8fHx7Nq1q9/6u3fvZtGiRcyZ\nM4ecnBzmzp3LwoUL2bRpU596lmXxi1/8guuvv56cnJyBnU0MqmjoZEprNeb4SdFuioiIiEjURRRu\nA4EAFRUVFBUVhcsMw6CoqIiDBw/2e4zf7ycuLq5PWVxcHOXl5ViWFS77/e9/T3p6OpdeemkkTYp5\nlSfaKWg7hjFO4VZEREQkonDb2tqKZVmkp6f3KU9PT8fj8fR7zIwZM9i5cycVFRUAHDp0iJdffplA\nIEBLSwsA77//Prt27WLVqlUDOYeY5QtYHOuwyGurAY3cioiIiAz9aglLly6lubmZO++8E9u2ycjI\noLS0lE2bNmGaJl6vl0ceeYRbb72VlJSUoW7OqPKRx4eFQYHVjJFy6nxnERERkVgTUbhNTU3FNE2a\nm5v7lDc3N5ORkdHvMXFxcaxatYqVK1fi8XjIzMxkx44dJCYmkpaWxuHDh6mvr+fee+8NH9MzXeGL\nX/wiDz30UL9zcPfs2cPevXv7lOXm5rJs2TLS0tKwbTuSUxuR6qprMW2LgqwU3G53tJsTFS6XK2bP\nPRapv2OL+ju2qL9jR88F8GvXrqWurq7PY/PmzaOkpOScnj+icOt0OikoKGD//v3Mnj0bANu2OXDg\nAIsXLz7jsaZphn9o9+3bR3FxMQATJkzg5z//eZ+6zzzzDF6vl+XLlzNmTP9byJaUlJz25FtaWvD7\n/ZGc2oh04Ggjk7oaMbNzaWxsjHZzosLtdsfsucci9XdsUX/HFvV37HC5XGRnZ7Ns2bIhef6IpyUs\nWbKERx99lIKCgvBSYD6fj9LSUgDWr19PY2Mjt912GwA1NTWUl5czdepU2tra2LJlC1VVVeHHXS4X\nEydO7PM9kpOTMQzjlHLpq6KhkzzPEbhE821FREREYADhdu7cubS2trJx48bwJg6rV68Or3Hr8Xho\naGgI17csiy1btlBdXY3T6eTCCy/knnvuISsra/DOIgYFLZvDHh/zWo9hjNN2uyIiIiIAhj0KJ6fW\n19eP+mkJVc0+bttSyU/+/Bgz/s9dGGmZ0W5SVOhjrNii/o4t6u/Yov6OHT3TEoZKxJs4yPBQ2bPt\nrtUCqf1fzCciIiISaxRuR6iKRi/ZVgcpOdp2V0RERKSHwu0IVdnkJb+jFkObN4iIiIiEKdyOQLZt\nU9HkI7+hErTtroiIiEiYwu0I1NgZoMUXJL+lSiO3IiIiIr0o3I5AFY3dF5O1VcO4yVFujYiIiMjw\noXA7AlU2eUkxAmSZXZChrQpFREREeijcjkAVTV7yAx6McZO0UoKIiIhILwq3I1BFk4/8tmMYuphM\nREREpA+F2xGmrStIXZuf/LoPQReTiYiIiPShcDvCHO7ZmczzEYYuJhMRERHpQ+F2hKls8hJn2Ezo\nrNfIrYiIiMjHKNyOMBVNXiY7vDji4iAzK9rNERERERlWFG5HmMomH/ldJ2DsRAxT3SciIiLSm9LR\nCOIPWhzx+MhvOqKdyURERET6oXA7glQ1dxG0Ib/mL9qZTERERKQfCrcjSEWTFwOY0nhYI7ciIiIi\n/VC4HUEqmnyMj7dIsPygDRxERERETqFwO4JUNnrJpw1ccZCVE+3miIiIiAw7CrcjhGXboZUSOutg\n7AQM0xHtJomIiIgMOwq3I0Rdm5/OgEV+Q4V2JhMRERE5DYXbEaKiyQtAXtV+7UwmIiIichoKtyNE\nRaMPd7xJRstxDF1MJiIiItIvhdsRorLJS368P3RHI7ciIiIi/XIO5KCtW7eyefNmPB4PeXl5LF++\nnMLCwjPW37ZtG/X19WRnZ3PNNdcwf/788OM7d+7kf/7nfzhy5AgABQUFfPGLXzzjc8aaiiYfCx3N\n4HBC9rhoN0dERERkWIp45Hbfvn2sW7eO66+/nvvuu48pU6awZs0aWlpa+q2/fft2NmzYwA033MAD\nDzzAddddx69+9SvefPPNcJ2//OUvzJs3j7vvvps1a9YwZswY1qxZQ1NT08DPbBTxdAZo6gyQ31Yd\nWinBoZUSRERERPoTcbgtKytj0aJFLFiwgAkTJrBixQri4+PZtWtXv/V3797NokWLmDNnDjk5Ocyd\nO5eFCxeyadOmcJ1vfvObXH755UyZMoXx48ezatUqLMti//79Az+zUaTnYrL8uoOabysiIiJyBhGF\n20AgQEVFBUVFReEywzAoKiri4MGD/R7j9/uJi4vrUxYXF0d5eTmWZfV7jM/nIxgMkpKSEknzRq3K\nJh+JTpOco+9pZzIRERGRM4go3La2tmJZFunp6X3K09PT8Xg8/R4zY8YMdu7cSUVFBQCHDh3i5Zdf\nJhAInHYqw+9+9zvcbjcXX3xxJM0btSqavOSnOTFbmzF0MZmIiIjIaQ3ogrJILF26lObmZu68805s\n2yYjI4PS0lI2bdqEaZ6arV944QVeffVV7r77bpzOIW/eiFDZ5GNmQmhqAtrAQUREROS0IkqPqamp\nmKZJc3Nzn/Lm5mYyMjL6PSYuLo5Vq1axcuVKPB4PmZmZ7Nixg8TERNLS0vrUffHFF9m0aRN33XUX\nkyadeYRyz5497N27t09Zbm4uy5YtIy0tDdu2Izm1YaujK0h1Sxc3JraB6cD9yQsxXK5oN2vYcLlc\nuN3uaDdDzhP1d2xRf8cW9XfsMAwDgLVr11JXV9fnsXnz5lFSUnJOzx9RuHU6nRQUFLB//35mz54N\ngG3bHDhwgMWLF5/xWNM0wz+0+/bto7i4uM/jmzZt4oUXXmD16tXk5+f/1baUlJSc9uRbWlrw+/1n\nc0rD3vv1ndjA+OMfQs44mlpbo92kYcXtdtPY2BjtZsh5ov6OLerv2KL+jh0ul4vs7GyWLVs2JM8f\n8ef+S5Ys4dFHH6WgoIDCwkLKysrw+XyUlpYCsH79ehobG7ntttsAqKmpoby8nKlTp9LW1saWLVuo\nqqoKPw6hqQj/+Z//ybe//W2ysrLC83cTEhJISEgYhNMcuSqavDhNmFhzUJs3iIiIiPwVEYfbuXPn\n0traysaNG8ObOKxevTo8xcDj8dDQ0BCub1kWW7Zsobq6GqfTyYUXXsg999xDVlZWuM6OHTsIBAL8\n/Oc/7/O9rrvuOq699tqBntuoUNnkZVJ6PK43PsIoWRTt5oiIiIgMa4Y9Wian9lJfXz9qpiXc/tJh\nJqeY3Pab2zC+ejvmZxZEu0nDij7Gii3q79ii/o4t6u/Y0TMtYahEvImDnD9By+Yjj498ox0AY7xW\nShARERE5E4XbYexoSxd+yya/8zgYJuSOj3aTRERERIY1hdthrLJ72928xkrIzsWIi49yi0RERESG\nN4XbYayi0cvYFBdJtYe17a6IiIjIWVC4HcYqm3zkZ8ZDdZW23RURERE5Cwq3w5Rt21Q0eclPdUBj\nvbbdFRERETkLCrfD1ImOAG1dFvlWaEcyjdyKiIiI/HUKt8NURWPoYrL89mOhgrETo9gaERERkZFB\n4XaYqmzykRbvwF33EYzJwYiP7W2IRURERM6Gwu0wVdHkpSAzHmqrQJs3iIiIiJwVhdthqrLJS35m\nAtRUYWgZMBEREZGzonA7DLX6ghxvD4RWSjhRB7qYTEREROSsKNwOQz07k+UHm8C2NXIrIiIicpYU\nboehyiYfcQ6DcU1HQwUKtyIiIiJnReF2GKpo8pKXEY+jtgoyszASk6LdJBEREZERQeF2GKps9FHg\nTsCurtKorYiIiEgEFG6Hma6gRVWLj/zM+NBKCbqYTEREROSsKdwOMx95fFg25Kc64XiNRm5FRERE\nIqBwO8xUNvkwDZjiOwG2pZFbERERkQgo3A4zFY1eJqTFEXdcKyWIiIiIRErhdpipbPKFdiarroL0\nTIzk1Gg3SURERGTEULgdRoKWzWGPl4LMeOyaIxq1FREREYmQwu0wUtvmxxuwwyO32plMREREJDLO\ngRy0detWNm/ejMfjIS8vj+XLl1NYWHjG+tu2baO+vp7s7GyuueYa5s+f36fOq6++ysaNGzl+/Djj\nx4/npptu4pJLLhlI80asisbubXfTnHC8Gi5dEuUWiYiIiIwsEY/c7tu3j3Xr1nH99ddz3333MWXK\nFNasWUNLS0u/9bdv386GDRu44YYbeOCBB7juuuv41a9+xZtvvhmu88EHH/Dwww+zcOFC7r//fmbP\nns3999/P0aNHB35mI1Blk5cxSU7SWo5DMKiVEkREREQiFHG4LSsrY9GiRSxYsIAJEyawYsUK4uPj\n2bVrV7/1d+/ezaJFi5gzZw45OTnMnTuXhQsXsmnTpnCdl156iZkzZ3LVVVcxfvx4brjhBvLz89m6\ndevAz2wEqmjyUdBzMRlozq2IiIhIhCIKt4FAgIqKCoqKisJlhmFQVFTEwYMH+z3G7/cTFxfXpywu\nLo7y8nIsywLg4MGDfZ4TYMaMGad9ztGqsslLfs/FZCmpkJoe7SaJiIiIjCgRhdvW1lYsyyI9vW/o\nSk9Px+Px9HvMjBkz2LlzJxUVFQAcOnSIl19+mUAgEJ7K4PF4yMjI6HNcRkbGaZ9zNGrsDODxBilw\nd4/cjpuEYRjRbpaIiIjIiDKgC8oisXTpUpqbm7nzzjuxbZuMjAxKS0vZtGkTpqnFGnpUdl9MFloG\nrAqj4JNRbpGIiIjIyBNRuE1NTcU0TZqbm/uUNzc3nzLy2iMuLo5Vq1axcuVKPB4PmZmZ7Nixg8TE\nRNLS0oD+R2n7G83tbc+ePezdu7dPWW5uLsuWLSMtLQ3btiM5tairOdRBSpyD6ePH0FBXTdLlV5Pk\ndke7WcOey+XCrdcpZqi/Y4v6O7aov2NHzyfTa9eupa6urs9j8+bNo6Sk5JyeP6Jw63Q6KSgoYP/+\n/cyePRsA27Y5cOAAixcvPuOxpmmGf2j37dtHcXFx+LFp06Zx4MABrrzyynDZ/v37mTZt2mmfr6Sk\n5LQn39LSgt/vP+vzGg7+Ut1EXkYcTR9+AP4uOtPH4G1sjHazhj23202jXqeYof6OLerv2KL+jh0u\nl4vs7GyWLVs2JM8f8byAJUuWsHPnTl555RWOHTvGE088gc/no7S0FID169fzyCOPhOvX1NSwe/du\namtrKS8v58EHH6SqqoovfvGL4TpXXnklf/7zn9myZQvV1dVs3LiRiooKrrjiinM/wxGioslLvjsB\nao6ECrQMmIiIiEjEIp5zO3fuXFpbW9m4cWN4E4fVq1eHpxh4PB4aGhrC9S3LCodWp9PJhRdeyD33\n3ENWVla4zrRp0/jWt77Fhg0beOaZZxg3bhx33HEHEydOHIRTHP46/EFqWv0UZCZgv18FicmQro9m\nRERERCJl2CNtcupZqK+vH1HTEv5yvIMf7jjCQ1fmMfn/PYpdX4vjB/dFu1kjgj7Gii3q79ii/o4t\n6u/Y0TMtYahouYJhoLLJh9M0mJgej11dhaHNG0REREQGROF2GKho8jIlIw4HNtRWaWcyERERkQFS\nuB0GQjuTJUDDcejqwtDFZCIiIiIDonAbZQHL5iNPFwWZCVBTFSocNzm6jRIREREZoRRuo+xos4+A\nZZPfvTMZ8YngzvrrB4qIiIjIKRRuo6yiyQdAXmY8VFfBuInhnTtEREREJDIKt1FW0eRlXKqLJJcD\nu0YrJYiIiIicC4XbKKts9IY2b7Dt0MitLiYTERERGTCF2yiybZvKJh/5mfHQdAJ8nRi6mExERERk\nwBRuo+h4u592vxVaKaG6e6UEjdyKiIiIDJjCbRT1XEyW704IrZQQFwdjhm47OhEREZHRTuE2iioa\nvWQkOHAnOkNr3I6diGE6ot0sERERkRFL4TaKQvNtEwCwq49opQQRERGRc6RwG0UVTV4KMuNDKyXU\nVIHCrYiIiMg5UbiNkhZvgIaOQGjktrkJOtoxxmulBBEREZFzoXAbJT0XkxW4E0KjtqCRWxEREZFz\npHAbJZVNXhKcBuNSXdjVVeB0QvbYaDdLREREZERTuI2SiiYfeRkJmIYBNUcgdwKGQysliIiIiJwL\nhdsoqWzyhnYmA+yaKs23FRERERkECrdR4AtYHGvpCs23hdDuZJpvKyIiInLOFG6j4COPD8uG/Mx4\n7NZmaGvB0La7IiIiIudM4TYKKpq8mAZMyYgPjdqCRm5FREREBoHCbRRUNvmYlBZPnMPErjkCDgfk\njIt2s0RERERGPIXbKKho9JLvDl1MRnUV5IzHcLqi2ygRERGRUcA5kIO2bt3K5s2b8Xg85OXlsXz5\ncgoLC09bf/fu3bz44ovU1taSlJTEzJkz+fKXv0xKSkq4TllZGTt27ODEiROkpqYyZ84cbrrpJlyu\n0RX6gpbNYY+PkilpQGilBE1JEBERERkcEY/c7tu3j3Xr1nH99ddz3333MWXKFNasWUNLS0u/9d9/\n/31++ctfsnDhQh544AG++93vUl5ezmOPPRaus2fPHtavX8/111/Pgw8+yNe+9jVeffVVnnnmmYGf\n2TBV3dpFV9AOLwNGTZUuJhMREREZJBGH27KyMhYtWsSCBQuYMGECK1asID4+nl27dvVb/8MPPyQn\nJ4crrriC7Oxspk+fzmWXXUZ5eXm4zsGDB/nkJz/J3LlzycrK4uKLL2bu3LkcOnRo4Gc2TFV2b7ub\nn5mA3d4KzU0auRUREREZJBGF20AgQEVFBUVFReEywzAoKiri4MGD/R4zbdo0GhoaeOuttwDweDy8\n+uqrzJo1q0+dioqKcOCtq6vjrbfe4pJLLon4hIa7ikYvOclOUuMdUBNaKUEjtyIiIiKDI6I5t62t\nrViWRXp6ep/y9PR0qqur+z1m+vTpfPOb3+TBBx+kq6sLy7IoLi7mlltuCdcpKSmhtbWVu+66C9u2\nsSyLyy67jC984QsDOKXhLbQzWWjzBru6CgwTcidEuVUiIiIio8OALiiLxNGjR3nqqae47rrruPji\ni/F4PKxbt47HH3+cVatWAfDuu+/y/PPPs2LFCgoLC6mtreWpp57iueeeY+nSpUPdxPPGtm0qmnws\nmZYZKqipguyxGK646DZMREREZJSIKNympqZimibNzc19ypubm8nIyOj3mBdeeIHp06dz1VVXATB5\n8mRuueUWfvzjH3PjjTeSkZHBxo0bmT9/PpdeeikAkyZNwuv18vjjj5823O7Zs4e9e/f2KcvNzWXZ\nsmWkpaVh23Ykp3Ze1Lf5aPEFKZqchdvtxnOiFmPKJ0h3u6PdtBHL5XLh1usXM9TfsUX9HVvU37HD\nMAwA1q5dS11dXZ/H5s2bR0lJyTk9f0Th1ul0UlBQwP79+5k9ezYQGo08cOAAixcv7vcYn8+H09n3\n25imeUqdj5f1nLht2+HbvZWUlJz25FtaWvD7/Wd3UufRm0fbAMhx+WlsbCR4pALjM6U0NjZGuWUj\nl9vt1usXQ9TfsUX9HVvU37HD5XKRnZ3NsmXLhuT5I14tYcmSJezcuZNXXnmFY8eO8cQTT+Dz+Sgt\nLQVg/fr1PPLII+H6xcXFvPbaa2zfvp3jx4/z/vvv89RTTzF16tTwaG9xcTHbt29n3759HD9+nHfe\neYeNGzcye/bsfoPtSFXZ5CUlziQryYnd2QGNJ0AXk4mIiIgMmojn3M6dO5fW1lY2btwY3sRh9erV\npKWFNiXweDw0NDSE65eWluL1etm2bRvr1q0jOTmZiy66iJtvvjlcZ+nSpRiGwbPPPktjYyNpaWkU\nFxdz4403DsIpDh8VTV4KMhMwDAO79igAxrjJUW6ViIiIyOhh2MNxcuo5qq+vH5bTEm7ddIjPTEzh\n/yvOxdq7E/vphzF/sREjPj7aTRux9DFWbFF/xxb1d2xRf8eOnmkJQyXiaQkyMO1dQWrb/BS4Q8uA\nUXMExuQo2IqIiIgMIoXb8+Rwr53JoHuNW+1MJiIiIjKoFG7Pk4omLy7TYGJa95q2NVXamUxERERk\nkCncnicVTT6mZMTjMA1snxcajoMuJhMREREZVAq350llk5cCd/f82tpjYNsauRUREREZZAq354E/\naFPV7Ds537bmSOiBcROj2CoRERGR0Ufh9jyoavYRsKCgO9xSXQXuLIyEpOg2TERERGSUUbg9Dyqa\nvBjAlIzQtAS7RisliIiIiAwFhdvzoKLJx/i0OBJd3S93dZV2JhMREREZAgq350Flo5f8zO5RW38X\n1NeCLiYTERERGXQKt0PMsm0qm3wn59vWHQPbwtC0BBEREZFBp3A7xOra/HQGrJMjt9VVoQcUbkVE\nREQGncLtEKto8gK9VkqoqYJ0N0ZyShRbJSIiIjI6KdwOsYpGH5mJTjISnUD3yK3m24qIiIgMCYXb\nIVbZ5KWge0oCADVVmm8rIiIiMkQUbodYRVOvnckCfjherfm2IiIiIkNE4XYIeToDNHUGKHB3j9we\nr4FgEEPTEkRERESGhMLtEOr3YjIAbeAgIiIiMiQUbodQZZOPRKdJbooL6L6YLDUdIzUtyi0TERER\nGZ0UbodQRVNoZzLTMEIFNVWabysiIiIyhBRuh1Blk498d0L4vl19RPNtRURERIaQwu0Q6fRbVLd0\nhZcBs4PB0Na7YxVuRURERIaKwu0Q+cjjw6bXxWT1tRAIaORWREREZAg5B3LQ1q1b2bx5Mx6Ph7y8\nPJYvX05hYeFp6+/evZsXX3yR2tpakpKSmDlzJl/+8pdJSTm5BW1HRwfr16/n9ddfp62tjezsbJYt\nW8bMmTMH0sSoq2jy4jBgUnpcqCC8UoLCrYiIiMhQiTjc7tu3j3Xr1rFy5UoKCwspKytjzZo1PPTQ\nQ6SlnboKwPvvv88vf/lLli1bRnFxMY2NjTz++OM89thj3H777QAEAgF++tOfkp6ezu23347b7aa+\nvp7k5ORzP8MoqWzyMjkjHpcjNDhuVx+BpGRIz4xyy0RERERGr4jDbVlZGYsWLWLBggUArFixgjff\nfJNdu3Zx9dVXn1L/ww8/JCcnhyuuuAKA7OxsLrvsMjZt2hSu8/LLL9Pe3s6aNWswzVAYzMrKGtAJ\nDRcVjT7yP7btLuMmYfSsnCAiIiIigy6iObeBQICKigqKiorCZYZhUFRUxMGDB/s9Ztq0aTQ0NPDW\nW28B4PF4ePXVV5k1a1a4zhtvvMG0adN48sknWbFiBbfffjvPP/88lmUN5JyiLmjZfOTxnZxvC9g1\nVRjjtXmDiIiIyFCKaOS2tbUVy7JIT0/vU56enk51dXW/x0yfPp1vfvObPPjgg3R1dWFZFsXFxdxy\nyy3hOsePH+fAgQN89rOf5Uc/+hG1tbU8+eSTBINBrr322gGcVnQdbenCb9nkd4db2wpCzVGYc2mU\nWyYiIiIyug3ogrJIHD16lKeeeorrrruOiy++GI/Hw7p163j88cdZtWoVAJZlkZGRwa233ophGOTn\n59PQ0MDmzZtHZLit7N52NzwtoaEe/F0YuphMREREZEhFFG5TU1MxTZPm5uY+5c3NzWRkZPR7zAsv\nvMD06dO56qqrAJg8eTK33HILP/7xj7nxxhvJyMggMzMTp9PZZz7qxIkT8Xg8BINBHA7HKc+7Z88e\n9u7d26csNzeXZcuWkZaWhm3bkZzaoKp+t5lxafFMGpsNgK/iPVqAjE8V4XC7o9au0cjlcuHWaxoz\n1N+xRf0dW9TfsaMn761du5a6uro+j82bN4+SkpJzev6Iwq3T6aSgoID9+/cze/ZsAGzb5sCBAyxe\nvLjfY3w+H05n32/Tc9FYj+nTp58SVKurq8nMzOw32AKUlJSc9uRbWlrw+/1ndU5D4b2aZvLSXTQ2\nNgJgHfwLxCfiMZwY3WUyONxud/h1ltFP/R1b1N+xRf0dO1wuV3jJ16EQ8SYOS5YsYefOnbzyyisc\nO3aMJ554Ap/PR2lpKQDr16/nkUceCdcvLi7mtddeY/v27Rw/fpz333+fp556iqlTp4ZHey+//HLa\n2m4C3MkAACAASURBVNr49a9/TU1NDW+++SbPP/98eIWFkcS2bSqavOH5tgBUV8F4rZQgIiIiMtQi\nnnM7d+5cWltb2bhxY3gTh9WrV4fXuPV4PDQ0NITrl5aW4vV62bZtG+vWrSM5OZmLLrqIm2++OVxn\nzJgxrF69mqeffpo77rgDt9vNkiVL+l1abLg70RGgrcvSSgkiIjJqZGRknPKp62AzTVPTEkaR/7+9\n+4+r+f7/x387p1Op6JfkR6lWKblUKLxspWzLj5n5NSUvyUJDl5exzXu+ezOJT7wxxsu83q8X+bXY\niNHypoRXQ+XFi9Ww1khG+kHUqVadk9M53z+8es5ximqnTk636+XSZfU4j+fzeX+ee9m9R4/n46FU\nKiGVSnVybZFKl5NT20hpaanOpiVcLKjCmnOF2DnZBTamhlCpVFAunAbRO6EQj5mik5j0Gf+M1bkw\n350L891xMBfUUs/7nmmYltBW2vbXsE7odrkc5sYG6G7yn0HxsoeAXMaVEoiIiIjaAYtbLXsy39b4\n9/m1xXef/JfFLREREVGbY3GrZbfLZerzbYsKACMjoLutDqMiIiIi6hxY3GpRlbweD6oVv2/eAADF\nBUCvvhC18UR8IiIiImJxq1UNO5M5Wz+7UgKnJBARERG1Bxa3WnS7XA4jAxH6dDMC8GTNWxQVcL4t\nERERCQoLC+Hi4oLLly+3y/Xu3bsHe3t7HDp0qMXHlpeXo1+/fkhLS2uDyNoGi1styi+XwcnSGAbi\n/zxMVlEG1FZz5JaIiIgEmzdvxuDBg4XdXgEgMTERcXFxbXbN1m4kZWVlhenTp2PDhg1ajqjtsLjV\nottlcs2dyQCgNzdwICIiIqCsrAyHDx9GeHi4WvvRo0exc+fONrmmvb09bt26halTp7bq+PDwcFy9\nehWZmZlajqxtsLjVkrp6JQoq5XC2/v1hMlVxASAxBGx66jAyIiIi6igOHz4MiUSCUaNGtfoccrkc\nLd2Dy8jIqNWjt66urujfvz8SEhJadXx7Y3GrJXekcihV0By57WUHkYGB7gIjIiKiRhUWFuLTTz9F\nQEAAXFxc4OnpiXnz5uHevXsafSsrKxEdHY3hw4fD2dkZQ4YMwaJFi1BeXi70kcvl2LhxI0aMGAEX\nFxf4+PggMjISd+/eFfqkpqZi8ODBMDExEdqmTp2KM2fOCHNj7e3t8eqrrwIAMjMzYW9vj++++w7r\n1q2Dr68v+vXrh99++w1SqRSrVq1CUFAQ3Nzc0L9/f8ycORM5OTlqsTc253bx4sVwc3NDSUkJZs+e\nDTc3N3h7e2P16tWNFs4jRozAqVOnWv9mtyOJrgPQF7fL5RCLACfLp0du73JnMiIiog4qOzsbP/zw\nAyZNmoTevXujoKAAe/fuRXBwMNLS0tCly5MBq5qaGkyePBm3bt1CaGgoPD09UVZWhtTUVBQXF8PK\nygpKpRLh4eHIzMzEpEmTMHfuXFRXV+PcuXPIzc2Fg4MDFAoFsrOzMWvWLLU4Fi1ahKqqKpSUlCAm\nJgYqlQpmZmYAfp8ru2XLFhgZGWHBggWoq6uDoaEhbt++jdTUVIwfPx4ODg4oLS3Fvn37hPhtbZte\nY18kEkGpVGLGjBnw8fHBihUrcP78eWzfvh1OTk6YOXOmWn9vb2/ExcXhxo0bcHNz02YatI7FrZbk\nl8nQp5sRjCVPBsOFlRIGDNJxZERERNSYoKAgvP3222pto0aNwjvvvIMTJ05gypQpAIC//e1vuHHj\nBnbu3InRo0cLfT/44APh80OHDiEjIwMxMTGYM2eO0B4VFSV8XlhYCJlMhr591Qe+RowYgV69eqGy\nshKTJk1qNFa5XI6UlBQYGRkJbR4eHkhPT1frN3XqVAQEBOCbb77BokWLnnv/crkcEydOFO4jLCwM\nY8eOxYEDBzSKWwcHB6hUKha3ncmE/tYY4Wj+e0NVBVBdBREfJiMiok5CJZcDJZp/0te6XvYQGRu/\nuN8LGD91DoVCgaqqKjg6OsLCwgLXrl0Titvk5GQMGDBArbB91okTJ9C9e3dEREQ02adhCoOlpWWL\nYw0JCVErbAHA0NBQ+FypVKKiogImJiZwdnbG9evXm3XesLAwta+HDRuGI0eOaPSzsLAA8OSBuI6O\nxa2W9DE3Qh/zp77piv+zUgKXASMios6i5B6U/+/DNr+MePkXgKPLHz6PTCbD1q1bkZCQgJKSEmGu\nqUgkQlVVldDv119/1RjhfdadO3fg4uICcTN2JG3pw2AANEZ7G86zY8cOfPXVVygoKEB9fT2AJ/Fb\nW1u/8JzGxsYa/SwtLVFRUdHkMa19KK09sbhtI6qiAsDAAOjRW9ehEBERtY9e9k8Kz3a4jjYsX74c\nhw4dQmRkJHx8fNCtWzeIRCIsWLAASqVSK9d4mpWVFQA8t3hsSsP836dt2bIFn3/+Of785z/D398f\nlpaWEIvFiI6Oblb8Bi144F0qlQJAs4pmXWNx21aK7wK2fSCS8C0mIqLOQWRsrJUR1fZy4sQJhISE\nYPny5UKbXC5HZWWlWj8nJyf88ssvzz2Xo6MjsrOzUV9f32TRaGdnhy5duqitntCgNSOiJ06cgJ+f\nH9avX6/WXlFRofUitKCgACKRCP369dPqedsClwJrI6qiAk5JICIi6sDEYrHGCOeuXbuEP+83GDdu\nHHJycnDy5MkmzzVu3Dg8evQIu3fvbrKPRCLBwIEDcfXqVY3XTE1NNYrqFzEwMNCY4nDs2DGUlJS0\n6DzNcfXqVZibm3f4h8kAjty2neICiALG6joKIiIiakJQUBC+/fZbdO3aFW5ubrhy5QrS09M1Rj0X\nLFiA48ePY968eQgJCYG3tzfKy8tx6tQprFu3Dh4eHggODsbhw4cRExODrKwsDBs2DDU1NUhPT8es\nWbOEh9FGjx6N9evXo7q6WljuC3iy1NaxY8cQExODQYMGwdTU9IUbPQQFBWHz5s346KOPMGTIEOTm\n5uLIkSNwdHTU+nt1/vx5BAUFaf28bYHFbRtQ/VYJVEo5cktERNSBrV69GhKJBImJiZDL5Rg6dCgO\nHDiAGTNmqE0TMDU1xdGjR7Fx40YkJyfj22+/Rffu3TFixAj07v3k2RqxWIx9+/bhr3/9KxITE5Gc\nnAwrKysMGzYMHh4ewrmmTp2KtWvXIjU1FZMnTxbaZ82ahZ9++gkJCQmIi4uDvb29UNw2NWVh4cKF\nqK2txdGjR3Hs2DF4e3sjPj4ea9as0TimsXM0dd5n2/Py8pCbm4tVq1Y97+3sMESq1jyy18GVlpbi\n8ePHOru+6mYOlOv/P4ij/wqRvZPO4ugMrK2tX4plSUg7mO/OhfnuOJgL7VqyZAny8/MbXXKrI1qx\nYgX+/e9/Izk5udnHPO97xtDQED169NBWeBo457YNqIrvAiIx0NNO16EQERFRB/Phhx/ixx9/xOXL\nl3UdyguVl5fj4MGDWLp0qa5DaTZOS2gLRQWAbW+InlpcmYiIiAh4smrCrVu3dB1Gs1hZWb1wpYiO\nhiO3bUBVXAD05nxbIiIiovbG4rYtFN+DiA+TEREREbW7Vk1LSElJwbFjxyCVSuHk5ISIiAi4uro2\n2f/8+fNISkpCSUkJTE1NMWjQIMycORNdu3bV6JuRkYG//vWvGDp0KJYsWdKa8HRKVVsDlD/kyC0R\nERGRDrR45DYzMxPx8fEICQnB+vXr4ejoiNjY2CYXHs7NzcW2bdvw5ptvYtOmTfjoo4+Ql5eHf/zj\nHxp9Hzx4gH379qktmfHSKS4AAI7cEhEREelAi4vb48ePIygoCIGBgbCzs0NkZCSMjY2RlpbWaP+b\nN2/C1tYWY8eORY8ePeDu7o5Ro0YhLy9PrZ9SqcTWrVsREhICW1vb1t1NB6AqLgBEIqCndva9JiIi\nIqLma1Fxq1AokJ+fDy8vL6FNJBLBy8sLN27caPQYNzc3PHr0CFlZWQAAqVSKCxcuwMfHR63f4cOH\nYWFhgddff72l99CxFBUANj2f7K9NRERERO2qRXNuq6qqoFQqYWFhodZuYWGBoqKiRo9xd3fHwoUL\nsXnzZtTV1UGpVMLX1xdz5swR+uTm5iItLQ0bNmxoxS10LFwpgYiIiEh32nyd23v37mH37t0IDg6G\nt7c3pFIp4uPjsX37dsyfPx8ymQxffvkl5s2b1+gDZk1JT09HRkaGWlvPnj3x3nvvwdzcHLraeO3R\n/UIYv/Y6uj6zLzW1DUNDQ409wEl/Md+dC/PdcYjFXFyJWkYsFjf589uwve+ePXtw//59tdf8/Pzg\n7+//h67douK2W7duEIvFqKioUGuvqKiApaVlo8ckJibC3d0d48ePBwA4ODhgzpw5iI6ORmhoKKRS\nKUpLS7Fu3TrhGKVSCQCYPn06tmzZ0ugcXH9//yZvvrKyUifb76rkMigfFENm1QN13KawXXBLyM6F\n+e5cmO+Og79kUEsplcoXbr/73nvvtcm1W/SrmEQigbOzM65duya0qVQqXL9+He7u7o0eI5fLYWBg\noH7Rp34DtLOzw8aNG7FhwwbhY8iQIfD09MSGDRvQvXv3loSoWyX3AACi3g46DoSIiIg6qsLCQri4\nuLTp9ruLFy/G8OHD1drs7e3xxRdfvPDYjRs3wt7+9wfjFQoFhg4diq+++krrcbaFFv+d4e2338aZ\nM2dw9uxZFBYWYseOHZDL5Rg5ciQA4Ouvv8aXX34p9Pf19cXFixeRmpqKBw8eIDc3F7t370a/fv1g\naWkJQ0ND2Nvbq32YmZnBxMQE9vb2GoVxR6YqerIMGHrb6TYQIiIi6rA2b96MwYMHY8iQIW12DZFI\nJPz5/+m21hwrkUjw/vvvY8uWLairq9NqnG2hxXNuX3vtNVRVVSEhIUHYxGHZsmUwNzcH8GQ1hEeP\nHgn9R44cCZlMhpMnTyI+Ph5mZmbw9PTEjBkztHcXHUXxXcC6B0RdTHUdCREREXVAZWVlOHz4MLZs\n2dLu17516xYkktY9bjVt2jSsXbsWR48exbRp07QcmXa16g7HjBmDMWPGNPpaVFSURtvYsWMxduzY\nZp+/sXO8DFRFBQA3byAiIqImHD58GBKJBKNGjWr3axsZGbX6WHNzcwQEBODQoUMdvrjl44/aVFwA\nEZcBIyIieikUFhbi008/RUBAAFxcXODp6Yl58+bh3r17Gn0rKysRHR2N4cOHw9nZGUOGDMGiRYtQ\nXl4u9JHL5di4cSNGjBgBFxcX+Pj4IDIyEnfv3hX6pKamYvDgwTAxMRHali9fDjc3N8hkMo3rRkVF\nwcfHR1gFKjU1FeHh4fD19YWzszP8/PywefNm4WH852lszu2lS5cwbtw4uLi4wM/PD/v27Wvy+ICA\nAFy6dEljYYGOps2XAussVHVyoPQ+17glIiJ6SWRnZ+OHH37ApEmT0Lt3bxQUFGDv3r0IDg5GWloa\nunTpAgCoqanB5MmTcevWLYSGhsLT0xNlZWVITU1FcXExrKysoFQqER4ejszMTEyaNAlz585FdXU1\nzp07h9zcXDg4OEChUCA7OxuzZs1Si2PChAnYu3cvzpw5g7fffltor62txenTpxEaGirMgU1ISEDX\nrl3x/vvvw8zMDBkZGfj8889RXV2NZcuWtej+c3Nz8ec//xk2NjZYsmQJHj9+jE2bNjX5ML+XlxeU\nSiUuX76MN998s0XXak8sbrXlfhGgUkLUhyslEBERvQyCgoLUikkAGDVqFN555x2cOHECU6ZMAQD8\n7W9/w40bN7Bz506MHj1a6PvBBx8Inx86dAgZGRmIiYlR26jq6amWhYWFkMlk6NtXfSBs2LBh6Nmz\nJ5KSktTiOX36NGpra/HOO+8Ibdu2bYPxU7ughoWFwcLCAnv37sUnn3wCQ0PDZt9/w+ZZR48eRe/e\nvQEA48aNa7JwdXR0BADcvHmTxW1noCr6z58cets/vyMREZGekiuUuFfZ9k/T25sbwVjyx2dWPl0k\nKhQKVFVVwdHRERYWFrh27ZpQ3CYnJ2PAgAFqhe2zTpw4ge7duyMiIqLJPg1TGBrbG2D8+PHYv38/\namtrhSkLSUlJ6NWrF4YOHdpozNXV1ZDL5Rg2bBj279+PvLw8eHh4NOvelUolzp49i7feeksobAHA\n1dUVgYGBSEtL0zimYYfajr7+NItbbSkuACytITJt/i5rRERE+uReZR0+Sv61za+z6S0nuFh3+cPn\nkclk2Lp1KxISElBSUiLMaxWJRKiqqhL6/frrrxojvM+6c+cOXFxcmrWbW2O7qE6YMAFxcXFITU3F\nxIkTUVNTg7S0NISHh6v1u3HjBtatW4fMzEy1GJ+N+UUePXoEmUwGJycnjddcXFwaLW6ffn86Mha3\n2mJpDZGvn66jICIi0hl7cyNsesupXa6jDcuXL8ehQ4cQGRkJHx8fdOvWDSKRCAsWLGjWA1otZWVl\nBQCNPpDl4+ODvn374tixY5g4cSJSU1Mhl8vVpiRUVlZiypQpsLCwwCeffAIHBwcYGxvj2rVrWLNm\nTZvE/LSGuBvuo6Nicasl4pHjdB0CERGRThlLxFoZUW0vJ06cQEhICJYvXy60yeVyVFZWqvVzcnLC\nL7/88txzOTo6Ijs7G/X19U1uQGVnZ4cuXbqorZ7wtHfeeQc7d+5EdXU1kpKS0LdvXwwePFh4/cKF\nC6ioqMDu3bvVpircuXPnhff6rO7du6NLly64ffu2xmt5eXmNHtMQd79+/Vp8vfbEpcCIiIioUxKL\nxRqjnbt27UJ9fb1a27hx45CTk4OTJ082ea5x48bh0aNH2L17d5N9JBIJBg4ciKtXrzb6+oQJE1BX\nV4eEhAScPXtWbdS2IV6VSqUWc11dHfbu3dvkNZsiFosxcuRIpKSkoKioSGi/efMmzp071+gxV69e\nhVgshq+vb4uv1544cktERESdUlBQEL799lt07doVbm5uuHLlCtLT02Ftba3Wb8GCBTh+/DjmzZuH\nkJAQeHt7o7y8HKdOncK6devg4eGB4OBgHD58GDExMcjKysKwYcNQU1OD9PR0zJo1S3gYbfTo0Vi/\nfj2qq6thZmamdh1PT084Ojpi3bp1qKur0yhuhwwZAgsLCyxatAizZ88GABw5cqTVc2A//vhjpKWl\nYfLkyZg1axYeP36MPXv2wN3dHT///LNG//Pnz2Po0KGNPhDXkXDkloiIiDql1atXY+rUqUhMTMTq\n1atRWlqKAwcOwMzMTK1gNDU1xdGjRxEeHo60tDRER0cjPj4e/fr1E1YaEIvF2LdvHz744ANkZ2cj\nJiYGcXFxMDc3V1vBYOrUqaivr0dqamqjMU2YMAHV1dV45ZVX4OnpqfaalZUVvvrqK/Ts2RMbNmzA\n9u3bERgY2OT6ts8Wvc9+7eHhgW+++QY2NjbYuHEjEhISsGTJkkZ3la2qqsK5c+cQEhLynHe0YxCp\nGntk7yVXWlqKx48f6zoMagfW1tYdfkkS0h7mu3NhvjsO5kK7lixZgvz8fBw5ckTXoTTbjh078Pe/\n/x2ZmZlqy5E15XnfM4aGhujRo4e2QxRw5JaIiIioHX344Yf48ccfcfnyZV2H0iwKhQJxcXFYvHhx\nswpbXeOcWyIiIqJ2ZGdnh1u3buk6jGaTSCS4ePGirsNoNo7cEhEREZHeYHFLRERERHqDxS0RERER\n6Q0Wt0RERESkN1jcEhEREZHeYHFLRERERHqDxS0RERER6Q0Wt0RERESkN7iJAxERET2XUqmEtbV1\nm15DLBZDqVS26TWo/egylyxuiYiI6LmkUmmbX8Pa2hplZWVtfh3Sf60qblNSUnDs2DFIpVI4OTkh\nIiICrq6uTfY/f/48kpKSUFJSAlNTUwwaNAgzZ85E165dAQBnzpzBuXPncPfuXQCAs7Mzpk+f/txz\nEhERERE9q8VzbjMzMxEfH4+QkBCsX78ejo6OiI2NRWVlZaP9c3NzsW3bNrz55pvYtGkTPvroI+Tl\n5eEf//iH0CcnJwd+fn5YuXIlYmNj0b17d8TGxqK8vLz1d0ZEREREnU6Li9vjx48jKCgIgYGBsLOz\nQ2RkJIyNjZGWltZo/5s3b8LW1hZjx45Fjx494O7ujlGjRiEvL0/os3DhQowePRqOjo7o06cP5s+f\nD6VSiWvXrrX+zoiIiIio02lRcatQKJCfnw8vLy+hTSQSwcvLCzdu3Gj0GDc3Nzx69AhZWVkAnszb\nuXDhAnx8fJq8jlwuR319vTBtgYiIiIioOVo057aqqgpKpRIWFhZq7RYWFigqKmr0GHd3dyxcuBCb\nN29GXV0dlEolfH19MWfOnCavs3//flhbW8Pb27sl4RERERFRJ9fmqyXcu3cPu3fvRnBwMLy9vSGV\nShEfH4/t27dj/vz5Gv0TExNx4cIFrFy5EhJJ68Jr7XH08hGJRDA0NNR1GNROmO/OhfnuXJjvzqOt\n67QWnb1bt24Qi8WoqKhQa6+oqIClpWWjxyQmJsLd3R3jx48HADg4OGDOnDmIjo5GaGio2nFJSUn4\n7rvvsGLFCvTt2/e5saSnpyMjI0OtzcPDAxMmTICVlVVLbotecj169NB1CNSOmO/OhfnuXJjvziUp\nKQk///yzWpufnx/8/f3/0HlbVNxKJBI4Ozvj2rVrGDJkCABApVLh+vXreOuttxo9Ri6Xa1ToYrHm\nVN/vvvsOiYmJWLZsGV555ZUXxuLv79/ozSclJWHChAnNuR3SA3v27MF7772n6zConTDfnQvz3bkw\n351LQ73WFjVbi1dLePvtt3HmzBmcPXsWhYWF2LFjB+RyOUaOHAkA+Prrr/Hll18K/X19fXHx4kWk\npqbiwYMHyM3Nxe7du9GvXz9h1DYxMREJCQlYsGABbGxsIJVKIZVKIZPJWnxDz/4GQPrt/v37ug6B\n2hHz3bkw350L8925tGW91uJJD6+99hqqqqqQkJAgbOKwbNkymJubA3iyGsKjR4+E/iNHjoRMJsPJ\nkycRHx8PMzMzeHp6YsaMGUKfU6dOQaFQYOPGjWrXCg4OxtSpU1t7b0RERETUybRqRu+YMWMwZsyY\nRl+LiorSaBs7dizGjh3b5Pm2bdvWmjCIiIiIiNS0eFoCEREREVFHZbBy5cqVug5C2xwcHHQdArUj\n5rtzYb47F+a7c2G+O5e2yrdIpVKp2uTMRERERETtjNMSiIiIiEhvsLglIiIiIr3B4paIiIiI9AaL\nWyIiIiLSG61a57ajSklJwbFjx4TNJSIiIuDq6qrrsOgPOHr0KC5duoSioiIYGRnBzc0NM2bMQJ8+\nfdT6HTx4EP/85z9RXV0Nd3d3REZGolevXjqKmrQlMTER33zzDcaNG4dZs2YJ7cy3/igrK8P+/fuR\nnZ0NuVyO3r17Y8GCBXB2dhb6MN/6QalUIiEhAenp6ZBKpbCyssLIkSPx7rvvqvVjvl9OP//8M5KS\nkpCfnw+pVIr/+q//wpAhQ9T6vCi3jx8/xt69e3HhwgU8fvwYAwcOxNy5c2FhYdGiWPRm5DYzMxPx\n8fEICQnB+vXr4ejoiNjYWFRWVuo6NPoDcnNz8dZbbyE2NhafffYZ6uvrERsbi7q6OqFPYmIiUlJS\n8P7772PNmjUwNjZGbGwsFAqFDiOnPyovLw+nT5+Go6OjWjvzrT+qq6vx2WefwdDQEMuWLcMXX3yB\nmTNnomvXrkIf5lt/JCYm4vTp05g7dy42b96MsLAwJCUlISUlRa0P8/1yksvlcHJywty5cxt9vTm5\n3bNnD7KysvDxxx8jJiYG5eXlGrvXNofeFLfHjx9HUFAQAgMDYWdnh8jISBgbGyMtLU3XodEf8Omn\nnyIgIAD29vZwcHBAVFQUHj58iPz8fKFPcnIy3n33Xfj6+sLBwQF/+ctfUFZWhkuXLukwcvojZDIZ\ntm7divnz58PMzEztNeZbfyQmJsLGxgbz58+Hs7MzevToAW9vb9ja2gp9mG/9cePGDQwZMgSDBg2C\njY0N/vSnP8Hb2xt5eXlCH+b75TVo0CBMmzYNQ4cObfT1F+W2pqYGaWlpmDVrFgYMGIBXXnkFUVFR\n+OWXX9S+R5pDL4pbhUKB/Px8eHl5CW0ikQheXl64ceOGDiMjbaupqQEAYWTnwYMHkEqlark3NTVF\nv379mPuXWFxcHHx9feHp6anWznzrlytXrsDFxQWbNm1CZGQkli5dijNnzgivM9/6xd3dHdevX0dx\ncTEA4Ndff8Uvv/yCwYMHA2C+9Vlzcpufn4/6+nq1f/f79OkDGxubFudfL+bcVlVVQalUaszJsLCw\nQFFRkY6iIm1TqVTYs2cP+vfvD3t7ewCAVCoFgEZz3/AavVwyMjJw584drF27VuM15lu/3L9/H6mp\nqRg/fjymTJmCvLw87N69G4aGhggICGC+9cykSZNQW1uLxYsXQywWQ6VSITQ0FH5+fgD4863PmpNb\nqVQKiUQCU1PTJvs0l14Ut9Q5xMXF4d69e1i9erWuQ6E28ujRI+zZswefffYZJBL+86TvVCoVXFxc\nEBoaCgBwcnJCQUEBTp06hYCAAB1HR9qWmZmJ9PR0LF68GPb29vj111+xZ88eWFtbM9+kVXrxf49u\n3bpBLBajoqJCrb2iogKWlpY6ioq0aefOncjKysKqVatgZWUltDfk99lcV1RUwMnJqb3DpD8oPz8f\nlZWVWLp0qdCmVCqRk5ODlJQUbN68GQDzrS+srKxgZ2en1mZnZyfMwePPt37Zt28fJk+ejFdffRUA\n0LdvX5SWluLo0aMICAhgvvVYc3JraWkJhUKBmpoatdHb1tRyejHnViKRwNnZGdeuXRPaVCoVrl+/\nDnd3dx1GRtqwc+dOXL58GdHR0bCxsVF7zdbWFpaWlmq5r6mpwc2bN5n7l5CXlxc2btyIDRs2CB/O\nzs4YMWIENmzYgJ49ezLfesTd3V1j6lhRUZHwc86fb/1SV1cHsVi97BCJRFCpVACYb33WnNw6OzvD\nwMAA169fF/oUFRXh4cOHcHNza9H1DFauXLlSK5HrmImJCRISEtC9e3cYGhriwIEDuHPnDubPEvMG\ncAAACgJJREFUnw9jY2Ndh0etFBcXh4yMDHz00UewtLSETCaDTCaDWCyGgYEBgCcje4mJibCzs4NC\nocCuXbugUCgwe/ZsjX9IqWOTSCQwNzdX+8jIyEDPnj2FP1sy3/rDxsYGhw8fhlgshpWVFbKzs3H4\n8GGEhobCwcEBAPOtTwoLC/H999+jT58+kEgk+Omnn3DgwAH4+/sLDxox3y8vmUyGe/fuQSqV4vTp\n03B1dYWRkREUCgVMTU1fmFtDQ0OUl5cjJSUFTk5O+O2337Bjxw7Y2NhorIX8IiJVw69MeuDkyZNI\nSkoSNnGYPXs2XFxcdB0W/QHTpk1rtD0qKgqBgYHC1wkJCThz5gyqq6vh4eGBOXPmcNFvPRETEwMn\nJye1TRyYb/3xww8/4Ouvv0ZJSQlsbW0xfvx4vPHGG2p9mG/9IJPJcPDgQVy6dAmVlZWwsrKCv78/\n3n33XWGwAmC+X1Y5OTmIiYnRaA8MDERUVBSAF+f28ePHiI+PR0ZGBh4/foxBgwZhzpw5Ld7EQa+K\nWyIiIiLq3DjGT0RERER6g8UtEREREekNFrdEREREpDdY3BIRERGR3mBxS0RERER6g8UtEREREekN\nFrdEREREpDdY3BIRERGR3mBxS0RERER6g8UtEVEb+P777zFt2jTk5+frOhSt0cd7IiL9I9F1AERE\nrfH999/jf//3f5t8PTY2Fq6uru0YERERdQQsbonopTZt2jTY2tpqtPfq1UsH0RARka6xuCWil9qg\nQYPg7Oys6zBIi+RyOYyNjXUdBhG9pFjcEpFeKy0txV/+8hfMnDkTIpEIJ06cQEVFBVxdXTFnzhz0\n7dtXrf/169eRkJCA27dvQyKRwMPDAzNmzICdnZ1av7KyMhw8eBDZ2dn47bffYGVlhUGDBiEiIgIG\nBgZCP4VCgb179+L8+fOQy+UYOHAg5s2bh27duj037m3btuHixYvYvHkz4uLicP36dRgZGSEwMBBh\nYWEQiUQAgJycHMTExCA6OhoDBgzQuO+oqCgEBgaqnXPTpk2Ii4tDTk4OTE1NMXnyZIwZMwZ3797F\nnj17cPPmTZibm2P69Onw9/fXiE0ul2P79u24ePEiFAoFhg4dioiICJiZman1y8rKQmJiIvLz8yEW\ni+Hh4YGwsDDY29tr3OeGDRuwa9cu5ObmwsvLC0uWLHnu+0NE1BQ+UEZEL7WamhpUVVWpffz2228a\n/c6ePYuUlBSMGTMGkydPRkFBAVatWoXKykqhz9WrVxEbG4uqqiqEhIRg/PjxuHHjBlasWIGHDx8K\n/crLy/Hpp5/iwoUL8PPzQ0REBAICAvDzzz9DLperXXfnzp24e/cugoODMWbMGFy5cgU7d+584X2J\nRCKoVCrExsbC3Nwc4eHhGDBgAP7v//4Pp0+fbtV71XDOtWvXwsbGBmFhYbC1tcWuXbvw/fffY82a\nNXBxcUFYWBhMTEywbds2lJaWapxn165dKCoqQnBwMAIDA5Geno7PP/9crc+5c+fwP//zP+jSpQvC\nwsLw7rvvorCwUOO9FIlEqK+vR2xsLCwsLDBz5kz86U9/atX9EREBHLklopfc6tWrNdoMDQ2xb98+\ntbaSkhJs3boVlpaWAICBAwdi2bJlSExMRHh4OABg37596NatG2JjY2FqagoAGDp0KD755BMkJCQg\nKioKALB//35UVlZizZo1eOWVV4RrhISEaMRibm6OZcuWCV8rlUokJyejtrYWJiYmz723uro6+Pn5\nYcqUKQCAoKAgLF26FP/85z8xatSoF743TZ0zICAAEydOBAD4+/tj3rx5+Pvf/47Fixdj+PDhAAAv\nLy98+OGHOHv2LKZOnap2DkNDQ6xYsQJi8ZPxERsbG+zfvx9XrlyBr68vZDIZdu/ejaCgIERGRgrH\njRw5EosWLcKRI0fw/vvvC+0KhQKvvfYaQkNDW3VPRERPY3FLRC+1uXPnonfv3mptDUXX04YNGyYU\ntgDg6uoKV1dXZGVlITw8HFKpFHfu3MHEiROFwhYAHBwc4O3tjaysLACASqXC5cuX4evrq1bYNiUo\nKEjt6/79++P48eMoLS2Fg4PDC49/toj18PDA+fPnX3jc87zxxhvC56ampujTpw9KSkqEwhYA+vTp\nA1NTU9y/f1/j+KCgILX3ePTo0fjmm2+QlZUFX19fXL16FTU1NfDz80NVVZXasa6urvjpp580ztna\nYp2I6Fksbonopebi4tKsB8oaWz2hd+/e+Ne//gUAwp/f+/Tpo9HPzs4OP/74I+rq6lBbW4va2lqN\nubpN6d69u9rXXbt2BQBUV1e/8FgjIyONublmZmaNTrtorsbOaWpqqhFnQ3tjcT77Xnbp0gVWVlbC\ne1hSUgIAiImJaTSGp395AAADA4NGr09E1BosbomI2lBjo8jAkxHg1h7bHEqlskXn/CNxNnXthQsX\nqo2WN3UtQ0PDFl+DiKgpLG6JqFMoLi5utK1Hjx4AIPy3qKhIo19RURHMzc1hZGQEQ0NDmJiYoKCg\noG0DbqaGkeCamhq19sYeBNOW4uJitZUZZDIZysvL4ePjA+D3kV1zc3N4enq2WRxERI3haglE1Cn8\n+9//RllZmfB1Xl4e8vLyMHjwYACApaUlnJyccPbsWbVC8e7du/jxxx+FfiKRCEOHDsWVK1c6xDa0\nNjY2EIvFyMnJUWs/efJkm13z9OnTqK+vF75OTU2FUqkU3qOBAwfCxMQER48eVevX4OkVKoiItI0j\nt0T0UsvKykJhYaFGu7u7u9rOZb169cKKFSswevRo1NXVITk5Gebm5pgwYYLQJywsDGvXrsWyZcvw\nxhtvQC6X4+TJkzAzM0NwcLDQb/r06bh69Sqio6MRFBQEOzs7lJeX41//+hdWr16tMae0LZmammL4\n8OFITk4W7vPKlSttWkAqFAqsWrUKr776KoqKipCamgoPDw/4+voCAExMTDB37lxs27YNS5cuxWuv\nvQZzc3M8fPgQWVlZcHd3x+zZs9ssPiLq3FjcEtFLLSEhodH2qKgoteI2MDBQbROHfv36ISIiQm1O\nqJeXF/77v/8bhw4dQkJCAiQSCQYMGIAZM2YI0xYAwNraGmvWrMHBgweRnp6O2tpaWFtbY/Dgwe2y\ns1bDBg4NZs+ejfr6epw+fRqGhoZ49dVXMXPmTHz88cetPmdDW2Ptc+bMwfnz53Ho0CEoFAr4+/sj\nIiJCrY+/vz+sra3x3Xff4dixY1AoFLC2tkb//v3x+uuvNzsuIqKWEqla87QAEdFL4ukdysaPH6/r\ncIiIqI1xzi0RERER6Q0Wt0RERESkN1jcEhEREZHe4JxbIiIiItIbHLklIiIiIr3B4paIiIiI9AaL\nWyIiIiLSGyxuiYiIiEhvsLglIiIiIr3B4paIiIiI9AaLWyIiIiLSGyxuiYiIiEhvsLglIiIiIr3x\n/wMqat2Yuwd46gAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 1.14e-03\n",
+ " final error(valid) = 1.49e-01\n",
+ " final acc(train) = 1.00e+00\n",
+ " final acc(valid) = 9.71e-01\n",
+ " run time per epoch = 1.99s\n",
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=0.50\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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J6M5hqBQStsbeyqkJRERERM2E4dZNwvUaDE4KxcaEO1DxLZcEIyIiImoODLdu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\nHuLa4v7zNNyznsUqKfZ3aSIiIqeFwq1IADLx7bH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RB3TkvwAksO3Zs8ffJchppPEOLhrv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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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Kr21lvcaYKjWXlZUxd+7cWo9ZG9u2GTNmDMuWLWPv3r3B5d999x0ffPBBjdus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\ntWvXcubMGUJCQr713M6ePcv48eO57bbbAMjMzOSRRx5h8+bN/NM//dN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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 1.81e-03\n",
+ " final error(valid) = 1.47e-01\n",
+ " final acc(train) = 1.00e+00\n",
+ " final acc(valid) = 9.71e-01\n",
+ " run time per epoch = 2.22s\n",
+ "--------------------------------------------------------------------------------\n",
+ "learning_rate=0.20 init_scale=1.00\n",
+ "--------------------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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WxvLcQxBhEVDufdQ2tunXXLx/4AKWj4pGO961zA7ftnQtvN6uhde7efj5+bXK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\nxbf5LM1WE4xDQp3g6w5xdrpzhzrPIc5axt4yd4izq547pKY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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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p0oXNmzcfc1+dO3dm7dq1+Hw+Io5ykWyHDh2IiooKmj2hpiuvvJLnn3+ekpIS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\niIiIeA2FWxERERHxGv8fSjFWAn/bj38AAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " final error(train) = 4.95e-03\n",
+ " final error(valid) = 1.88e-01\n",
+ " final acc(train) = 1.00e+00\n",
+ " final acc(valid) = 9.60e-01\n",
+ " run time per epoch = 2.04s\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Set training run hyperparameters\n",
+ "batch_size = 100 # number of data points in a batch\n",
+ "num_epochs = 100 # number of training epochs to perform\n",
+ "stats_interval = 5 # epoch interval between recording and printing stats\n",
+ "learning_rate = 0.2 # learning rate for gradient descent\n",
+ "\n",
+ "init_scales = [0.1, 0.2, 0.5, 1.] # scale for random parameter initialisation\n",
+ "final_errors_train = []\n",
+ "final_errors_valid = []\n",
+ "final_accs_train = []\n",
+ "final_accs_valid = []\n",
+ "\n",
+ "for init_scale in init_scales:\n",
+ "\n",
+ " print('-' * 80)\n",
+ " print('learning_rate={0:.2f} init_scale={1:.2f}'\n",
+ " .format(learning_rate, init_scale))\n",
+ " print('-' * 80)\n",
+ " # Reset random number generator and data provider states on each run\n",
+ " # to ensure reproducibility of results\n",
+ " rng.seed(seed)\n",
+ " train_data.reset()\n",
+ " valid_data.reset()\n",
+ "\n",
+ " # Alter data-provider batch size\n",
+ " train_data.batch_size = batch_size \n",
+ " valid_data.batch_size = batch_size\n",
+ "\n",
+ " # Create a parameter initialiser which will sample random uniform values\n",
+ " # from [-init_scale, init_scale]\n",
+ " param_init = UniformInit(-init_scale, init_scale, rng=rng)\n",
+ "\n",
+ " # Create a model with five affine layers\n",
+ " hidden_dim = 100\n",
+ " model = MultipleLayerModel([\n",
+ " AffineLayer(input_dim, hidden_dim, param_init, param_init),\n",
+ " SigmoidLayer(),\n",
+ " AffineLayer(hidden_dim, hidden_dim, param_init, param_init),\n",
+ " SigmoidLayer(),\n",
+ " AffineLayer(hidden_dim, hidden_dim, param_init, param_init),\n",
+ " SigmoidLayer(),\n",
+ " AffineLayer(hidden_dim, hidden_dim, param_init, param_init),\n",
+ " SigmoidLayer(),\n",
+ " AffineLayer(hidden_dim, output_dim, param_init, param_init)\n",
+ " ])\n",
+ "\n",
+ " # Initialise a cross entropy error object\n",
+ " error = CrossEntropySoftmaxError()\n",
+ "\n",
+ " # Use a basic gradient descent learning rule\n",
+ " learning_rule = GradientDescentLearningRule(learning_rate=learning_rate)\n",
+ "\n",
+ " stats, keys, run_time, fig_1, ax_1, fig_2, ax_2 = train_model_and_plot_stats(\n",
+ " model, error, learning_rule, train_data, valid_data, num_epochs, stats_interval)\n",
+ "\n",
+ " plt.show()\n",
+ "\n",
+ " print(' final error(train) = {0:.2e}').format(stats[-1, keys['error(train)']])\n",
+ " print(' final error(valid) = {0:.2e}').format(stats[-1, keys['error(valid)']])\n",
+ " print(' final acc(train) = {0:.2e}').format(stats[-1, keys['acc(train)']])\n",
+ " print(' final acc(valid) = {0:.2e}').format(stats[-1, keys['acc(valid)']])\n",
+ " print(' run time per epoch = {0:.2f}s').format(run_time * 1. / num_epochs)\n",
+ "\n",
+ " final_errors_train.append(stats[-1, keys['error(train)']])\n",
+ " final_errors_valid.append(stats[-1, keys['error(valid)']])\n",
+ " final_accs_train.append(stats[-1, keys['acc(train)']])\n",
+ " final_accs_valid.append(stats[-1, keys['acc(valid)']])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |\n",
+ "|------------|--------------------|--------------------|------------------|------------------|\n",
+ "| 0.1 | 4.75e-03 | 2.19e-01 | 1.00 | 0.96 |\n",
+ "| 0.2 | 1.14e-03 | 1.49e-01 | 1.00 | 0.97 |\n",
+ "| 0.5 | 1.81e-03 | 1.47e-01 | 1.00 | 0.97 |\n",
+ "| 1.0 | 4.95e-03 | 1.88e-01 | 1.00 | 0.96 |\n"
+ ]
+ }
+ ],
+ "source": [
+ "j = 0\n",
+ "print('| init_scale | final error(train) | final error(valid) | final acc(train) | final acc(valid) |')\n",
+ "print('|------------|--------------------|--------------------|------------------|------------------|')\n",
+ "for init_scale in init_scales:\n",
+ " print('| {0:.1f} | {1:.2e} | {2:.2e} | {3:.2f} | {4:.2f} |'\n",
+ " .format(init_scale, \n",
+ " final_errors_train[j], final_errors_valid[j],\n",
+ " final_accs_train[j], final_accs_valid[j]))\n",
+ " j += 1"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "> How does increasing the number of layers affect the model's performance on the training data set? And on the validation data set?\n",
+ "\n",
+ "\n",
+ "The best final training set error across the four initialisation scales used above for each model architecture, consistently decreases as we increase the number of layers.\n",
+ "\n",
+ "\n",
+ "| Number of affine layers | Best final training set error |\n",
+ "|-------------------------|-------------------------------|\n",
+ "| 2 | $1.85 \\times 10^{-2}$ |\n",
+ "| 3 | $5.21 \\times 10^{-3}$ |\n",
+ "| 4 | $1.99 \\times 10^{-3}$ |\n",
+ "| 5 | $1.14 \\times 10^{-3}$ |\n",
+ "\n",
+ "\n",
+ "This makes sense as because the number of layers increase, for a fixed hidden layer width, the total number of free parameters in the model increases and so we would expect the model to be able to fit too the training data better.\n",
+ "\n",
+ "\n",
+ "\n",
+ "If we look at the validation set however we see the opposite trend; as the number of layers increases the best final validation set error increases.\n",
+ "\n",
+ "\n",
+ "| Number of affine layers | Best final validation set error |\n",
+ "|-------------------------|---------------------------------|\n",
+ "| 2 | $7.47 \\times 10^{-2}$ |\n",
+ "| 3 | $8.77 \\times 10^{-2}$ |\n",
+ "| 4 | $1.17 \\times 10^{-1}$ |\n",
+ "| 5 | $1.47 \\times 10^{-1}$ |\n",
+ "\n",
+ "\n",
+ "If we look more closely at the training curves for the models with more layers we can see what is happening here. For the models with three or more layers, after a certain number of epochs the validation set error begins to *increase* even as the training set error continues to decrease. This indicates that these models have begun *overfitting* to the training data. We could get a better validation set error in these cases by stopping the training early. *Early stopping* like this is one way of trying to overcome overfitting, in later labs we will consider other methods for improving generalisation by reducing overfitting.\n",
+ "\n",
+ "\n",
+ "> Do deeper models seem to be harder or easier to train (e.g. in terms of ease of choosing training hyperparameters to give good final performance and/or quick convergence)?\n",
+ "\n",
+ "> Do the models seem to be sensitive to the choice of the parameter initialisation range? Can you think of any reasons for why setting individual parameter initialisation scales for each AffineLayer in a model might be useful? Can you come up with (or find) any heuristics for setting the parameter initialisation scales?\n",
+ "\n",
+ "\n",
+ "The final performance of the deeper models becomes increasingly sensitive to the choice of parameter initialisation. For the models with two affine layers, the final training errors for initialisation scales 0.1, 0.2 and 0.5 are all within approximately 10% of each other, while for the models with five affine layers there is an approximately 400% increase in final training error if moving from an initialisation scale of 0.2 to 0.1 and a 50% increase in final training error when moving from 0.2 to 0.5. The smaller parameter initialisation scales for the deeper models in particular seem to give poorer initial performance (error curves start from higher values) and for the five affine layer model the smallest parameter initialisation scale run shows a pronounced flatter section at the start of training with around 15 epochs before the error starts significantly decreasing.\n",
+ "\n",
+ "\n",
+ "\n",
+ "In general the models with more layers also take longer to train per epoch, so on top of issues of potential overfitting and difficulty of choosing parameter initilisations we also need to factor in the potentially slower training of deeper models if computational time is a key constraint.\n",
+ "\n",
+ "\n",
+ "\n",
+ "We might expect the appropriate initialisation scale for a given affine layer to depend on its input and output dimensionalities. Each output is calculated as the weighted sum of all the inputs, and so for a larger number of inputs the typical magnitude of the output activations will become larger as each will be calculate from a sum over more values. Similarly the backpropagated gradient at each input is calculated as a weighted sum over the gradients at each output, and so for a larger number outputs the typical magnitude of backpropagated gradients will become larger.\n",
+ "\n",
+ "\n",
+ "\n",
+ "If we wish to keep some measure of the typical magnitude of the activations and backpropagated gradients at a given layer roughly constant through the network then we may therefore wish to set the parameter initialisation in a layer dimensionality dependent way. One heuristic based on trying to achieve a roughly constant variance in activations and backpropagated gradients through the network is to initialise the weights for a layer from a distribution with variance inversely proportional to the sum of the input and output dimensions of the layer. This is sometimes known as the Glorot or Xavier initialisation, after the name of the author of [the paper](http://jmlr.org/proceedings/papers/v9/glorot10a/glorot10a.pdf) in which this scheme was proposed. You will use this parameter initialisation scheme in the first coursework.\n",
+ ""
+ ]
}
],
"metadata": {