diff --git a/notebooks/07_Autoencoders.ipynb b/notebooks/07_Autoencoders.ipynb old mode 100644 new mode 100755 index 220aaaa..309d550 --- a/notebooks/07_Autoencoders.ipynb +++ b/notebooks/07_Autoencoders.ipynb @@ -6,16 +6,18 @@ "source": [ "# Autoencoders\n", "\n", - "In this notebook we will explore autoencoder models. These are models in which the inputs are *encoded* to some intermediate representation before this representation is then *decoded* to try to reconstruct the inputs. They are example of a model which uses an unsupervised training method and are both interesting as a model in their own right and as a method for pre-training useful representations to use in supervised tasks such as classification. Autoencoders were covered as a pre-training method in the [sixth lecture slides](http://www.inf.ed.ac.uk/teaching/courses/mlp/2016/mlp06-enc.pdf)." + "In this notebook we will explore autoencoder models. These are models in which the inputs are *encoded* to some intermediate representation before this representation is then *decoded* to try to reconstruct the inputs. They are example of a model which uses an unsupervised training method and are both interesting as a model in their own right and as a method for pre-training useful representations to use in supervised tasks such as classification. Autoencoders were covered as a pre-training method in the [sixth lecture slides](http://www.inf.ed.ac.uk/teaching/courses/mlp/2016/mlp06-enc.pdf).\n", + "\n", + "__*Correction: The original version of this notebook used the term 'contractive autoencoder' to refer to an autoencoder where the encoder 'contracts' the input to a smaller dimension hidden representation. This is non-standard usage - 'Contractive Autoencoder' is used more commonly for an autoencoder variant with a specific form of regularisation described in the paper [Contractive Autoencoders: Explicit Feature Invariance During Feature Extraction](http://www.icml-2011.org/papers/455_icmlpaper.pdf). Apologies for any confusion and thanks to Iain Murray for pointing out this error.*__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Exercise 1: Linear contractive autoencoders\n", + "## Exercise 1: Linear contractive autoencoders\n", "\n", - "For the first exercise we will consider training a simple 'contractive' autoencoder - that is one in which the hidden representation is smaller in dimension than the input and the objective is to minimise the mean squared error between the original inputs and reconstructed inputs. To begin with we will consider models in which the encoder and decoder are both simple affine transformations.\n", + "For the first exercise we will consider training a simple autoencoder where the hidden representation is smaller in dimension than the input and the objective is to minimise the mean squared error between the original inputs and reconstructed inputs. To begin with we will consider models in which the encoder and decoder are both simple affine transformations.\n", "\n", "When training an autoencoder the target outputs for the model are the original inputs. A simple way to integrate this in to our `mlp` framework is to define a new data provider inheriting from a base data provider (e.g. `MNISTDataProvider`) which overrides the `next` method to return the inputs batch as both inputs and targets to the model. A data provider of this form has been provided for you in `mlp.data_providers` as `MNISTAutoencoderDataProvider`.\n", "\n", @@ -24,7 +26,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": { "collapsed": false }, @@ -45,12 +47,152 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], - "source": [] + "source": [ + "# Seed a random number generator\n", + "seed = 10102016 \n", + "rng = np.random.RandomState(seed)\n", + "\n", + "# Set up a logger object to print info about the training run to stdout\n", + "logger = logging.getLogger()\n", + "logger.setLevel(logging.INFO)\n", + "logger.handlers = [logging.StreamHandler()]\n", + "\n", + "# Create data provider objects for the MNIST data set\n", + "train_data = data_providers.MNISTAutoencoderDataProvider('train', batch_size=50, rng=rng)\n", + "valid_data = data_providers.MNISTAutoencoderDataProvider('valid', batch_size=50, rng=rng)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "input_dim, output_dim, hidden_dim = 784, 784, 50\n", + "\n", + "weights_init = initialisers.GlorotUniformInit(rng=rng)\n", + "biases_init = initialisers.ConstantInit(0.)\n", + "\n", + "model = models.MultipleLayerModel([\n", + " layers.AffineLayer(input_dim, hidden_dim, weights_init, biases_init), \n", + " layers.AffineLayer(hidden_dim, output_dim, weights_init, biases_init),\n", + "])\n", + "\n", + "error = errors.SumOfSquaredDiffsError()\n", + "\n", + "learning_rule = learning_rules.GradientDescentLearningRule(0.01)\n", + "\n", + "num_epochs = 25\n", + "stats_interval = 1\n", + "optimiser = optimisers.Optimiser(\n", + " model, error, learning_rule, train_data, valid_data)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Epoch 0:\n", + " error(train)=5.30e+01, error(valid)=5.20e+01, params_penalty=0.00e+00\n", + "Epoch 1: 2.22s to complete\n", + " error(train)=7.66e+00, error(valid)=7.63e+00, params_penalty=0.00e+00\n", + "Epoch 2: 2.19s to complete\n", + " error(train)=5.76e+00, error(valid)=5.74e+00, params_penalty=0.00e+00\n", + "Epoch 3: 2.24s to complete\n", + " error(train)=5.11e+00, error(valid)=5.09e+00, params_penalty=0.00e+00\n", + "Epoch 4: 2.13s to complete\n", + " error(train)=4.87e+00, error(valid)=4.85e+00, params_penalty=0.00e+00\n", + "Epoch 5: 2.14s to complete\n", + " error(train)=4.77e+00, error(valid)=4.75e+00, params_penalty=0.00e+00\n", + "Epoch 6: 2.17s to complete\n", + " error(train)=4.72e+00, error(valid)=4.71e+00, params_penalty=0.00e+00\n", + "Epoch 7: 2.32s to complete\n", + " error(train)=4.69e+00, error(valid)=4.68e+00, params_penalty=0.00e+00\n", + "Epoch 8: 2.15s to complete\n", + " error(train)=4.68e+00, error(valid)=4.66e+00, params_penalty=0.00e+00\n", + "Epoch 9: 2.15s to complete\n", + " error(train)=4.66e+00, error(valid)=4.65e+00, params_penalty=0.00e+00\n", + "Epoch 10: 2.15s to complete\n", + " error(train)=4.65e+00, error(valid)=4.64e+00, params_penalty=0.00e+00\n", + "Epoch 11: 2.18s to complete\n", + " error(train)=4.65e+00, error(valid)=4.63e+00, params_penalty=0.00e+00\n", + "Epoch 12: 2.15s to complete\n", + " error(train)=4.64e+00, error(valid)=4.63e+00, params_penalty=0.00e+00\n", + "Epoch 13: 2.15s to complete\n", + " error(train)=4.64e+00, error(valid)=4.62e+00, params_penalty=0.00e+00\n", + "Epoch 14: 2.44s to complete\n", + " error(train)=4.63e+00, error(valid)=4.62e+00, params_penalty=0.00e+00\n", + "Epoch 15: 2.39s to complete\n", + " error(train)=4.63e+00, error(valid)=4.61e+00, params_penalty=0.00e+00\n", + "Epoch 16: 2.34s to complete\n", + " error(train)=4.63e+00, error(valid)=4.61e+00, params_penalty=0.00e+00\n", + "Epoch 17: 2.52s to complete\n", + " error(train)=4.62e+00, error(valid)=4.61e+00, params_penalty=0.00e+00\n", + "Epoch 18: 1.59s to complete\n", + " error(train)=4.62e+00, error(valid)=4.61e+00, params_penalty=0.00e+00\n", + "Epoch 19: 1.83s to complete\n", + " error(train)=4.62e+00, error(valid)=4.61e+00, params_penalty=0.00e+00\n", + "Epoch 20: 2.29s to complete\n", + " error(train)=4.63e+00, error(valid)=4.62e+00, params_penalty=0.00e+00\n", + "Epoch 21: 2.39s to complete\n", + " error(train)=4.62e+00, error(valid)=4.61e+00, params_penalty=0.00e+00\n", + "Epoch 22: 2.19s to complete\n", + " error(train)=4.62e+00, error(valid)=4.60e+00, params_penalty=0.00e+00\n", + "Epoch 23: 2.19s to complete\n", + " error(train)=4.62e+00, error(valid)=4.60e+00, params_penalty=0.00e+00\n", + "Epoch 24: 2.21s to complete\n", + " error(train)=4.61e+00, error(valid)=4.60e+00, params_penalty=0.00e+00\n", + "Epoch 25: 2.13s to complete\n", + " error(train)=4.61e+00, error(valid)=4.60e+00, params_penalty=0.00e+00\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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nu/Rgk4iIiEh7UCBtxsDEgbiDsXx+WIFUREREpD0okDbDZVykuUexx1+A1S+I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\n5TEEK7wEy7z4j8QQKPPiL/XiL43BX+q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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "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", + "ax_1 = fig_1.add_subplot(111)\n", + "for k in ['error(train)', 'error(valid)']:\n", + " ax_1.plot(np.arange(1, stats.shape[0]) * stats_interval, \n", + " stats[1:, keys[k]], label=k)\n", + "ax_1.legend(loc=0)\n", + "ax_1.set_xlabel('Epoch number')" + ] }, { "cell_type": "markdown", @@ -61,7 +203,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -94,12 +236,38 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": { "collapsed": false }, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "image/png": 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/SZ6YXX6VSkVPTw/vvfce58+fvy/H3tbWlrVr17Jv3z5cXFwmPA+7urqa9PR0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arcblcjE2NsbAwIAsduPxeDAYDLzzzjvcuHFDhq5ly0iUmodSehKOQJ1Ol2Y+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G5SHhSHbW9vR2NjI0ua8FykFI86DAyEjxvzZMr5+fmv0MfxVh65dDTmQcqULEVaM7JsdTod6urq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\n/133pv8AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "inputs, targets = valid_data.next()\n", + "recons = model.fprop(inputs)[-1]\n", + "_ = show_batch_of_images(inputs.reshape((-1, 28, 28)), (4, 2), 5)\n", + "_ = show_batch_of_images(recons.reshape((-1, 28, 28)), (4, 2), 5)" + ] }, { "cell_type": "markdown", @@ -109,7 +277,7 @@ "\n", "*This section is provided for the interest of those also sitting MLPR or otherwise already familiar with eigendecompositions and PCA. Feel free to skip over if this doesn't apply to you (or even if it does).*\n", "\n", - "For a linear (affine) contractive autoencoder model trained with a sum of squared differences error function there is an analytic solution for the optimal model parameters corresponding to [principle components analysis](https://en.wikipedia.org/wiki/Principal_component_analysis).\n", + "For a linear (affine) autoencoder model trained with a sum of squared differences error function there is an analytic solution for the optimal model parameters corresponding to [principle components analysis](https://en.wikipedia.org/wiki/Principal_component_analysis).\n", "\n", "If we have a training dataset of $N$ $D$-dimensional vectors $\\left\\lbrace \\boldsymbol{x}^{(n)} \\right\\rbrace_{n=1}^N$, then we can calculate the empiricial mean and covariance of the training data using\n", "\n", @@ -155,7 +323,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -171,52 +339,246 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": { "collapsed": false }, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "image/png": 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/SZ6YXX6VSkVPTw/vvfce58+fvy/H3tbWlrVr17Jv3z5cXFwmPA+7urqa9PR0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5JU4APzpO+EQGWj+lUpnxPGGCBX09LkKFZ6ZChxTZJsl8Q3OlNGLKNisvL2fa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\n+du3b3Hv3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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "V, mu = get_pca_parameters(train_data.inputs)\n", + "hiddens = (inputs - mu[None, :]).dot(V)\n", + "recons = hiddens.dot(V.T) + mu[None, :]\n", + "_ = show_batch_of_images(inputs.reshape((-1, 28, 28)), (4, 2), 5)\n", + "_ = show_batch_of_images(recons.reshape((-1, 28, 28)), (4, 2), 5)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.59056138992\n" + ] + } + ], + "source": [ + "hiddens = (train_data.inputs - mu[None, :]).dot(V)\n", + "recons = hiddens.dot(V.T) + mu[None, :]\n", + "print(error(train_data.inputs, recons))" + ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Exercise 2: Non-linear contractive autoencoders\n", + "## Exercise 2: Non-linear contractive autoencoders\n", "\n", "Those who did the extension in the previous exercise will have just seen that for an autoencoder with both linear / affine encoder and decoders, there is an analytic solution for the parameters which minimise a sum of squared differences error.\n", "\n", "In general the advantage of using gradient-based training methods is that it allows us to use non-linear models for which there is no analytic solution for the optimal parameters. The hope is the use of non-linear transformations between the affine transformation layers will increase the representational power of the model (a sequence of affine transformations applied without any interleaving non-linear operations can always be represented by a single affine transformation).\n", "\n", - "Train a contractive autoencoder with an initial affine layer (output dimension again 50) followed by a rectified linear layer, then an affine transformation projecting to outputs of same dimension as the original inputs, and finally a logistic sigmoid layer at the output. As the only layers with parameters are the two affine layers which have the same dimensions as in the fully affine model above, the overall model here has the same number of parameters as previously.\n", + "Train a autoencoder with an initial affine layer (output dimension again 50) followed by a rectified linear layer, then an affine transformation projecting to outputs of same dimension as the original inputs, and finally a logistic sigmoid layer at the output. As the only layers with parameters are the two affine layers which have the same dimensions as in the fully affine model above, the overall model here has the same number of parameters as previously.\n", "\n", "Again train for 25 epochs with 50 training examples per batch and use a uniform Glorot initialisation for the weights, and zero biases initialisation. Use our implementation of the 'Adam' adaptive moments learning rule (available in `mlp.learning_rules` as `AdamLearningRule`) rather than basic gradient descent here (the adaptivity helps deal with the varying appropriate scale of updates induced by the non-linear transformations in this model)." ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "input_dim, output_dim, hidden_dim = 784, 784, 50\n", + "\n", + "weights_init = initialisers.GlorotUniformInit(rng=rng)\n", + "biases_init = initialisers.ConstantInit(0.)\n", + "\n", + "model = models.MultipleLayerModel([\n", + " layers.AffineLayer(input_dim, hidden_dim, weights_init, biases_init),\n", + " layers.ReluLayer(),\n", + " layers.AffineLayer(hidden_dim, output_dim, weights_init, biases_init),\n", + " layers.SigmoidLayer()\n", + "])\n", + "\n", + "error = errors.SumOfSquaredDiffsError()\n", + "\n", + "learning_rule = learning_rules.AdamLearningRule()\n", + "\n", + "num_epochs = 25\n", + "stats_interval = 1\n", + "optimiser = optimisers.Optimiser(\n", + " model, error, learning_rule, train_data, valid_data)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, "metadata": { "collapsed": false }, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Epoch 0:\n", + " error(train)=9.11e+01, error(valid)=9.06e+01, params_penalty=0.00e+00\n", + "Epoch 1: 5.30s to complete\n", + " error(train)=6.90e+00, error(valid)=6.79e+00, params_penalty=0.00e+00\n", + "Epoch 2: 4.22s to complete\n", + " error(train)=3.79e+00, error(valid)=3.79e+00, params_penalty=0.00e+00\n", + "Epoch 3: 4.58s to complete\n", + " error(train)=2.82e+00, error(valid)=2.84e+00, params_penalty=0.00e+00\n", + "Epoch 4: 4.22s to complete\n", + " error(train)=2.50e+00, error(valid)=2.52e+00, params_penalty=0.00e+00\n", + "Epoch 5: 4.22s to complete\n", + " error(train)=2.39e+00, error(valid)=2.41e+00, params_penalty=0.00e+00\n", + "Epoch 6: 4.32s to complete\n", + " error(train)=2.32e+00, error(valid)=2.35e+00, params_penalty=0.00e+00\n", + "Epoch 7: 4.38s to complete\n", + " error(train)=2.28e+00, error(valid)=2.31e+00, params_penalty=0.00e+00\n", + "Epoch 8: 4.31s to complete\n", + " error(train)=2.23e+00, error(valid)=2.27e+00, params_penalty=0.00e+00\n", + "Epoch 9: 4.26s to complete\n", + " error(train)=2.22e+00, error(valid)=2.26e+00, params_penalty=0.00e+00\n", + "Epoch 10: 4.25s to complete\n", + " error(train)=2.21e+00, error(valid)=2.25e+00, params_penalty=0.00e+00\n", + "Epoch 11: 4.51s to complete\n", + " error(train)=2.19e+00, error(valid)=2.23e+00, params_penalty=0.00e+00\n", + "Epoch 12: 4.59s to complete\n", + " error(train)=2.15e+00, error(valid)=2.20e+00, params_penalty=0.00e+00\n", + "Epoch 13: 4.38s to complete\n", + " error(train)=2.15e+00, error(valid)=2.20e+00, params_penalty=0.00e+00\n", + "Epoch 14: 4.22s to complete\n", + " error(train)=2.14e+00, error(valid)=2.19e+00, params_penalty=0.00e+00\n", + "Epoch 15: 4.40s to complete\n", + " error(train)=2.11e+00, error(valid)=2.16e+00, params_penalty=0.00e+00\n", + "Epoch 16: 4.35s to complete\n", + " error(train)=2.13e+00, error(valid)=2.17e+00, params_penalty=0.00e+00\n", + "Epoch 17: 4.22s to complete\n", + " error(train)=2.12e+00, error(valid)=2.17e+00, params_penalty=0.00e+00\n", + "Epoch 18: 4.36s to complete\n", + " error(train)=2.11e+00, error(valid)=2.16e+00, params_penalty=0.00e+00\n", + "Epoch 19: 4.31s to complete\n", + " error(train)=2.12e+00, error(valid)=2.18e+00, params_penalty=0.00e+00\n", + "Epoch 20: 4.38s to complete\n", + " error(train)=2.10e+00, error(valid)=2.16e+00, params_penalty=0.00e+00\n", + "Epoch 21: 4.37s to complete\n", + " error(train)=2.10e+00, error(valid)=2.16e+00, params_penalty=0.00e+00\n", + "Epoch 22: 4.26s to complete\n", + " error(train)=2.07e+00, error(valid)=2.13e+00, params_penalty=0.00e+00\n", + "Epoch 23: 4.31s to complete\n", + " error(train)=2.09e+00, error(valid)=2.15e+00, params_penalty=0.00e+00\n", + "Epoch 24: 4.37s to complete\n", + " error(train)=2.08e+00, error(valid)=2.14e+00, params_penalty=0.00e+00\n", + "Epoch 25: 4.42s to complete\n", + " error(train)=2.07e+00, error(valid)=2.13e+00, params_penalty=0.00e+00\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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VcXFxLFq0CICmpiZ+9atfceSRRzJs2DASExM57rjjePvtt3v8uXTX5/LOO+9k7NixJCQk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\nIX37PBxPvM+W0lLyH8nn7c1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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "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", + "ax_1 = fig_1.add_subplot(111)\n", + "for k in ['error(train)', 'error(valid)']:\n", + " ax_1.plot(np.arange(1, stats.shape[0]) * stats_interval, \n", + " stats[1:, keys[k]], label=k)\n", + "ax_1.legend(loc=0)\n", + "ax_1.set_xlabel('Epoch number')" + ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Plot batches of the inputs and reconstructed inputs for this non-linear contractive autoencoder model and compare to the corresponding plots for the linear models above." + "Plot batches of the inputs and reconstructed inputs for this non-linear autoencoder model and compare to the corresponding plots for the linear models above." ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": { "collapsed": false }, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "image/png": 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Hg4MDdXV1HDt2jI6ODt55551BWzNKpZLKykoSEhJUhzD9QhYUFMSyZcsYM2YMo0aNwtTU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\nIb5oZWXF3bt3cXNzw8rKipCQEGJiYli6dOmcVqxqtZqcnBzy8/MFEWI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KWu0CrW7DdBcd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WoVnWzzcvTzfR9mUymcVLNs9jDwkJwdfXF4VCwcyZM9m5cyfp6elPJBPYQqrh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wAAAg\nAElEQVRgAGazGSKRaEXudKk9ajQa0dvbC41Gg/DwcBqQQb5jNpvB5/MRFhaGI0eOwM3NDR988AHq\n6uqQn58PT0/PJeeVtKlSqXDu3Dl4e3sjNzcXqampVErhcDgwGAyQy+W4ePEibt++DalUiu3bt+Pg\nwYNUJbUSfVkJTx1BXQrkpnv48CE6OjpgNBoRHx+P+Pj4FTecM5Z34rN4+fJldHZ20k0xPj6Oc+fO\n4csvv4RCoYBarX5MxAL+7+BoNBp8//vfX7INQjSIThEAdYi2pf8l1vXKykpMTExAJBI9dlE4wmWw\nb20+nw+FQoGzZ8/i2rVrWFhYQEJCAn7wgx/g5MmTdluA7QHDMKiqqsLZs2fR2dkJqVSKXbt2YceO\nHQgODoarqytMJhNGRkZw7tw5fPbZZwBAreP2+qIS7mlqagpVVVV45513UFtbCzc3N8hkMmRkZFgY\ncJaCs7pMsrbDw8MYHByERqOBm5sbxGIxPD094e/vD1dXV3h5eSE0NBTu7u6Ym5vD/Pw8WltbqYhr\nD9RqNaqqqvDw4UMwDIMNGzYs6Q1hNBohl8tRVlYGhUKBiIgI5OXlrSrjVHd3N/r6+gAsqmyICx5g\nWfLd09MTaWlpSEpKwtzcHFQq1Yq6aTKPnZ2daGlpwf3797F7924EBwfTdyuVSty4cQM3b96Ei4sL\nDh48iFOnTiEvL2/N9u1TR1CXY8kZhkFLSwv1XYyLi1tRcb8aq+z09DQ0Go0FQTYajfRGJ3pNdtYc\ngUBAF9/T05OGMC7XDsmUJZfLMTs7C4lEQjnahYUFSmjJwSwtLUV1dTUyMjIQFxfnlF5oqXm5c+cO\n5b45HA5ycnKwd+9eSkxXIy6xwTAMysrKUFJSgrGxMXA4HHR3d6OlpQUbNmyAr68vlEolysvL8emn\nn0KtVoPD4cDHxwcZGRkOHXy9Xo+HDx/if/7nf1BfX0/122Re1yqx81JzMzc3h88++wxnz57FyMgI\n/P39ERQUhJSUFGzatAkymQwGg4E6+wOARqNBX18fDAaDXZcHh8OBWCxGXFwcqqurUVlZiZKSEvD5\nfISHh1N9PxHtFQoFvvrqK3zxxRfw8/NDYWEhXnrppRXnYSnpicfjwdPTEwsLC+jv70dYWBjNYWst\nHZrNZri4uCAoKAgAbDIF1u83m83w8/PDxo0boVAoUFNTg/LycqpOIGdOKBRCJpPh6NGjOHnyJCIj\nI5d893dC5AdsD5RY24kCnzjvBgUFPcbJsb+z0nuXap/L5SIkJAR5eXmYn5+HRqOhvnMkfNLV1RV+\nfn4IDg6mIqiHhwcMBgONgklJSbHpn0n6TP5XqVR4+PAhKioqACxeFnw+HyMjI5ibm4PRaIRKpcLM\nzAwYhkFCQgL27t2LxMTENeUa6+vrafSUp6cnoqOj4e/vv2ZtEPB4PAQHB0MqlUKhUFCne7lcjk8+\n+QQ8Ho/6oAKgiZkLCwvx29/+1iELP8MwmJmZgU6no8TTzc0NUqkUYrHY4QQZS2Ep/0YSNtzR0QG9\nXo+pqSm0tbWhrKwM586dQ0xMDM0vQC4ONzc3BAYGQqfT2S0ZuLi44NVXX8X4+DiKi4vx5ptvoqys\nDPv27UN8fDyMRiMWFhYwPj6O2tpaNDU1ISAgALt378bPf/5zuzw1lgLJDtbW1obe3l74+flRSz87\n2xRJQt3e3o7GxkbqV7wSuFwuRCIRjh8/DoFAgIqKCgwMDEClUgFYNICJRCKEh4fj4MGD2LVrFzw8\nPCxyRxB8p638bBgMBkilUvj5+VH/s7U6DNbgcDgQiUT4zW9+gx/+8IdgGIZubBIeKZFIHuOU2Ar6\n+fn5FW9eYFHs9vf3x7p16zA6OoqxsTHMzc3Bw8MDYWFhkMlkMJlMEAgEkEqliIyMRHJyMnx8fNYs\n2znpu4+PD1X4b9u2Ddu3b7fQq63GKZoNkkiks7MTc3NzmJycpNFTxDuCPCeVSpGamopXX32VJpq2\nF2QdCwoK0NHRAR8fHxgMBvj4+GDXrl008fFagH1BkraBRaNaWloaBgYGMD4+TiUfs9mMyclJ6kkB\nLBIGX19fpKamorCwkKbzs2fOuVwuwsPD8bOf/QxCoRA1NTWYmprC6dOnaZSUQCCAm5sbfHx8kJ2d\njZ07d+LIkSMOGxZtceN+fn4IDw/Hw4cPUVZWhtbWVoSFhSEsLIyeFYPBgNbWVhQVFaGtrQ1BQUF2\n68PJ+H7+85/j1VdfxeDgIKampiAQCODn50ezw7HVC9bGz9Xu3ae2ppT1BJjNi/kjL1++jLq6OhQU\nFGDz5s02XWesfdPYny3bARuTvtyCLKdEJ/8cEcdNJhMN+SR+oNbuO2u1MWzBaDSiu7sb5eXlUCqV\n2Lx5M9avX29xy9tywXEWJG/le++9h+vXr6O/v5/Gh3O5XHh4eCA8PBxZWVk4deoUCgoKnBo3WQvC\n5atUKnA4i9mvxGLxY9ZfwPn5ZSfgYHNlOp0OCoUClZWVuHz5MhobGzE5OYnZ2VkIhUJ4enpCIpHA\n398fhYWFOHXqFDw9PZ0m9oQrJ3Hs1dXVUCgUcHNzg5+fH/Lz83Hw4EEEBAQ4pfKwFdVlMpkwNzeH\nhoYGqjoaGhqCl5cXNTh6eXlBrVZjZmYG4eHhOH78uEWin+VgiyawYb2G7Ocd2LfLTsQzQ1DJZ+xE\nxNa3kKOGp8c6sMyBWmoel1JPLPf3byvY8wvYDlYgWMtx6fV6jI6O4v3338fly5dhNBrh6uqKw4cP\n45e//CVcXFzWLEO/rXVcy7HYqk9l65mpqSkUFxfjypUrVOe3fv16m+HEawGiMybGRxKeuZr3kX5a\n95UUJfz888/x6aefYmJiAkKhEJGRkdizZw/27NlD1Uhsj46VsBIzYU1MyeXm4KX0bBJUu7/Emrgn\naVxY6nZcjvA+TcSUDWtH6ad1HGxYr8u3YZ2epLTxbYItJoiAnF9HJLnlzt4a7NnvNkF9EviubPSl\nQDYmsDai/bcB1ueAncP1WRnjdwVP+Hw+J6jP8RyO4ElINc/xzGDZzfBMWfmf4znWCtY1iZ7jOezB\nM0tQSZlnZ8MBn+O7i+/yXvmuq7NWi2dGOUT0egzD4KOPPsLevXuxfft2nDt3ziLyRaPRQKPRUIvm\nc3z7QZJz/73Wi60jtv7879mPJwW22943NRZbbX+T/VkrPDMEFbCsVvno0SMarURcVfh8PoRCIXg8\nHhiGoVnQ2YXh1gLfxMYwGo1Qq9XQaDQ2k6Gws/08bfimPAms3WyWIkLPEqEF7POfflJtP+145kT+\nsbExTE9PU2IqEoksfCWtfeMcda4n32FvLPY7yeFqaWnBuXPnaAmWjRs34sc//jFCQkLW3NBhMplw\n/fp1fPrppxAKhTh48CB27txJfRZJnzgcDo0ysuWi4gz+HiLiN+m2xDAM5ufnsbCwQDPas/0W14IQ\nsN3QCDdOKh6QWkskBHYt1syWgzsZKwkcYVckZffRus/Ors03rVIgYyYX4Vp5czwzBJVN1Ag3Gh0d\nTdOTWS8gSZjgDPdDNjx5D/v7DMPg4cOHePvtt1FaWoq5uTma2GNqagq//vWvaTng1cJsXizW9+GH\nH+LPf/4z5HI5JBIJwsLCsG3bNhqb3dbWhq6uLuTl5SEqKsrhAmgEbOKs0+kwNjaG+/fvo66uDtHR\n0di3bx/CwsJoZNFqx0bafBLPr/Qe8i6j0Yjm5maUlZVBJpOhsLCQJqax5avqbD/M5sVcrPfv38eN\nGzcwPj6OhYUFTE5OgsfjITMzEydPnqSRaWs1RvZnOp0O3d3dWFhYQFxcnEUqxqXesZr5tmZI1hrk\nnDIMQ4s5krYYhkFdXR2++uorzM7O0orIKxWSXAnPDEEl8PHxgVQqpdnGw8LC6N9scZWOwpoIs/83\nmUwoLy/H//7v/+LmzZtQqVQQCoUQCARQq9W4e/cuwsLC8Itf/ILWKHemfULU2tra8PHHH6OoqAj9\n/f1gGAaxsbFISEiAQCCARqPBrVu38J//+Z+Ynp5GYGAgNm3ahN/97ndOt63X61FVVYUvvvgC1dXV\nNK+AWCxGUVERjhw5gtdff92ppNLsdpYbO4GtyDe29MDhLJ3j1hZBsA4LJc+QonWEe7TVjjVBJY7q\n9rRtNi/mYn3vvfdw5swZDA0N0b+TZD/t7e1gGAZxcXG0jpUzWI6jnpubQ2trK/R6PSIiImx+hz0v\ntir/2tsHa6ZkLaU2s3kxjHhmZgZarRZubv+vvTN9aus6//hXEpJA7GAjxGIDZgkkZkeYgo1duzbG\nBDslTmJP7Ewy7XTaptO86Jt20pn2P2j7qplMxnYTu07sOLZjYsfYYQzGEIMXNrMYzCrEKgkJLaDt\n98Jzzu/qIoEklE6dns8MA2i5555z7/2e5zznOeeRISwszOX95eVlPHr0CP/+97+xuLiImZkZKJVK\nZGZm0joSq92X/UB+dIKq0Wig1+uRmJiI1NRUmh+d9FRkad1Ge0VuGgxyAWZmZnDt2jV89913EIvF\n+OUvf4mf//znsFgsaGxsxOeff4729nao1Wps27YNgO89PNkD9KuvvkJ9fT06OzsxPz8Ph8OB+Ph4\nHDhwAJWVlXSjCb1ej97eXiwvL2NiYoJmCF1vy0CuUJD/tVotzpw5g4sXL2JwcBA6nY4+FDqdDnNz\nc9Dr9ZDJZDhx4sSGN6YhD57VaoVGo8G9e/fQ1taGxcVFyGQyKBQKFBYWorS0FOHh4T61Jakfv858\nBILne8wajUaIRKJVG8F4WsWz1rmQskl5NpsN//rXv3Dq1CkMDg5CIBAgLy8P+fn5GB8fR2trK+bn\n59HQ0IDt27fj3Xff9WuE40lMyblOT0+jv78fcXFxNDeYp05svTq6K5sI1NLSEkZHR/Hw4UPodDoU\nFBSgqKiI3pOkM/ImQZ8nSH61np4ebN26Fbm5uZBIJC6jrKWlJSwsLMBgMECj0dDtGvnn7As/OkEd\nHR3F3Nwc4uPjqRXIteo8rS/2Fk/fs9vtNOmXyWTCm2++id///vfIyMiA0WjE1NQU9Ho93U2ICKov\nOJ1OjI2N4Z///CeuXLmCiYkJmuOnqKgIdXV1OHDgAN1nkmS4zMjIwJMnT+BwOGgqjYKCAp/qaTQa\ncfr0aXz88ccYHh6mGxuTTTtWVlag0+nQ39+PL774Aunp6aioqPB7eGq326FWq9He3o5Hjx7h2bNn\nGB0dhVarpZux2Gw2NDY24vjx43j77bfp63wL05v6kfblv0deI/5TvqByj8cVaV/uL61Wi5aWFgwN\nDdEcVsePH8eBAwcwMzODTz/9FOfOncPo6Cg+//xzpKenY+fOnV5ZdZ6G9/zzJvsHLC4uIiUlxaXD\n9TS89+U5stvtmJycRGdnJ8bGxjA6OorR0VHqqyWJF9va2jA7OwulUom6ujqXeQB35+AJs9mMK1eu\n4O7duzh48CDS0tJo1gziIw4NDYVEIqH/8ztlbtilt7ywguqu17Rarejt7cX4+Dji4+NdgrNJKlvu\n5zcC9yI7nc83m378+DEmJyeRk5OD6upqZGRkUP9pQ0MDLBYLJBIJ3aPV1/Ow2+04c+YMzp8/j6mp\nKQiFQqSlpaGmpgY1NTV4+eWXERMTQ4UlKCgIeXl5+PDDD/HVV1+htbUVBoMB586dW1NQ+edlt9vx\n+PFjXL9+HcPDw7DZbNi0aRNqamqwf/9+hIWF4enTp7h06RIePHiABw8e4MKFCygpKfEpFQnBZrOh\nvr4et27dQldXFxYWFhAaGgqlUomioiJERkaira0N586dQ39/P8bGxtwOo9earXZXT/IeXxjFYjE2\nbdrkkraD21aejuOpfL6baH5+HvPz81hZWYFYLMa+fftw+PBhbNmyBSkpKZiZmUF7ezv6+vrQ0dGB\nTz75BMnJyUhLS/OmOb2qv91uh8ViQUREBJKSklZldOV/3pd71263o76+Hjdu3MDU1BQKCwuhVCrx\nk5/8BGKxGHFxcbBYLLh27RquXLkCg8GAiYkJFBQU+L2f7/3799HQ0ID+/n4UFRXRfXMJZHvN0NBQ\nuj0i/zP+PKMvtKCSoQG56FqtFpOTk1hcXFwVCsVvnLVueG/L5/49NDSEyclJBAUFoaSkBIWFhRAI\nBNDr9WhtbcWdO3egUCiwb98+yOVyv2+SW7duQa1WIzg4GHl5eairq8OhQ4eQkpKy6iEQCJ6nRa6u\nrkZERAS1+BobG+FwOLzOzOlwOGgWUJvNhpCQEBw5cgTvv/8+XnrpJYhEIpSUlCA4OBizs7MYGRlB\na2srWltbsXv3bp+sVJvNhtu3b+P06dPo7OyEXC5HVVUVSkpKsH37dmzZsgVisRjx8fFQqVR48uQJ\nwsLCXHybBF/b2JN16Wmm293mxARvBJVA7lmBQIDU1FSUlpYiKSmJpnMpKyvDa6+9RvNrNTY2IjMz\nE3/84x/XtaD4ZXHdDdz3lpeXYTQaIZPJsGnTJheXgi9Wt7uObXBwEOfPn0dTUxOqq6vxs5/9DNnZ\n2S4uoampKfrbarVicnIS09PTyM7OXrdMPqRDHhgYgNlsRlxc3KqcVAKBAJs3b0ZycjImJiYwPz+P\n3t5ebNu2bUO68MIKqrtKLywsQK/Xw+FwQKFQuCTnczqfp5klAf1SqdTvMBR3ISRWqxVCoRASiQR6\nvZ4Ox1tbW/Hll18iLCwMdXV1ePPNN73Od8TFZrPh6tWrePbsGcRiMY4cOYK6ujqUlJRALpd79DcJ\nhUKEhYUhOzsbGRkZuHfvHjQaDWw2m9fnQbJlkrQnOTk5OHjwIHJycugDHRcXB6VSiZycHAwPD0Ot\nVqOlpQW7du3yKfnh8PAwLl26hN7eXhQXF+PIkSNQKpU0jxSpY3p6OiorK2E0GrG8vEzdPBuZAfdk\naa6srNBU2u7cAd4eyx1OpxN9fX10C7u9e/eipKTEZdu6hIQE7Nq1C7dv30ZraysWFhbQ3t7uV6ps\n/vkRK1mv10Oj0SAkJAQxMTF+W6OkTuR7drsd33zzDe7fvw+9Xo/i4mLk5eWtcilERkYiMjKSdozE\nR+6PC2ViYgLd3d1YXFxEUFAQYmJiXGbvSYdCsjIAzzu1e/fu0fTp/vKjEFTSQBqNBiaTCWKxGNu2\nbaM5aebn59Hc3IzW1lYIBAIkJiaiuLgYhYWFG5qN5pa/efNmmma4vb0dS0tLkMlkGBoagtlsxtGj\nR/HOO+/43QPqdDp0dXXBYDCgoqICJ0+eRHl5ucv+mFx/GOCaDjskJARJSUkA1p6BdgeZFDKbzQBA\n0/py6w88F9WsrCxcvXoVBoMBT58+9amONpsNjx8/Rnd3N2JiYvD666+jqqrKrWiEhIQgNDQUWq0W\nTU1NiIiIwLFjx9bMjrkengSViCkZAfDdPe78tt5ac0tLS+jp6cHc3BwUCgWUSiW2bNlC3yfuqpyc\nHBw6dAjd3d0wm83Q6XRYWFjwW1D552EymWCxWBAVFeU2AyiXtfzT/NcdDgc6OzsxNzcHgUBAs/Hy\n24dMEDkcDshkMqSkpGDr1q1+iXlvby/m5+epn59kI+BOJJNORKvV0uswPT29qp6+8sIKqjtI7N6m\nTZuQmJiI0NBQaDQaXL16FR999BG6u7vpRE1fXx+kUikdmvuCO+d8XFwcCgsL0d3djYGBAUxOTtJh\n9c6dO2neHn8uktPpRFtbG9RqNaKiovDaa6+hqKgIISEhLpNtQqGQhqPwHeokJpXrS/YWrVYLnU5H\nfUzEIrfZbC6izU3fbLPZaAJDbyEP3/T0NHbs2IHs7GxERES4jDLI74WFBTx58gT9/f1YWVnBysoK\nMjMz8dOf/tQn65AvjnzsdjvMZjO19NfriHyd+W5paUFXVxdMJhOKi4upS4Pvx42Li0NlZSVu376N\nlpYWmM1maDQapKamel0et1xum5IwIpFIhOjoaL/83gR3flciZCQr6dTUFBQKBW1Lq9WK7u5u3L9/\nHwKBAOnp6Th48KBf5+F0OjEwMAC9Xg/g/yeLVSoVZDIZRCIR4uPjERERgaamJoyMjMDpfL4IKDY2\ndkORBcALLqj84RcJns/KykJKSgqEQiHa29tx5swZdHR00J5pdHQUy8vLSE5ORn5+vs/DRHd+KZLj\n22q14sqVK3j8+DGMRiP9PNct4O4Ya+FwONDQ0IDZ2VlkZWUhLy8PUVFRAOCysoWcCz+Ux+FwYHZ2\nFm1tbQgODqaWqjc4nU50dXVBrVbD6XQiOjoaeXl52LJlyypfHNdaczdr6k09nz17BoPBQPdbIJ0S\nN3ZRo9GgpaUFLS0tNCnhyMgIenp6fBJUbyDhdjKZzO0sMPe3rzgcDly/fh1DQ0Ow2+3Iyclxscq4\nlq9QKKRC09nZCbPZjPHxcb8MAnchY3q9HsvLy5BKpeuGZK3lp3YnqOXl5Xjw4AFGRkZw8+ZNyGQy\nFBQUQC6XQyaTQaVS4dq1a+jt7UVkZCTKy8v9vo5kpEo6f4fDgcbGRty9e5fGu8rlckRHR0OtVlPL\nOSkpCUqlclX2VXd1XIsXUlA9zVIODw9Dq9VCLpcjMjISJpMJnZ2dGBkZQVFREYqKiqBSqdDU1AS1\nWo2Ojg6YzeYNB0ovLy9jcXERUVFRqK2tRUJCAtra2jA2NgaNRoPg4GA0NzdDp9MhMzMT27ZtozFx\n3rCwsIDe3l4YDAZkZWUhNjaW3rhkFQh32M9NX+F0OjExMYHPPvsMnZ2diI2NRU1Njdc5eux2Ox48\neIDZ2VkEBQWhqqoKR48epau9uHXgrkaRSqWrfHHelEfo7e3F5cuXMTIyQlOckNCsmZkZ9PX1YWpq\nyiVW0NvYzPVEgP8eyZhJLMe1juXtQ0iGmUNDQ1hcXATwPFkf12XBrZtAIEB0dDReeuklhIaGwmAw\noL+/3+fJVXeft9vtmJubg0ajoeLt6btrHYfAvyeqqqpgMBjQ0NCA+fl5PHz4kC5SEIlEuHPnDhob\nG7GysoKCggLU1ta63OPujusJh8OB5ORkyOVyGI1GWK1WlyW1pN1JckNifCQmJiIvL2/d46/HCymo\n7rBYLNDpdLBYLLBarTSmTqVSoby8HHV1daisrMSNGzfw/fffw2Aw0NTB/gqqw+FAU1MTOjs7sbCw\ngJSUFFRUVKC6uhoVFRWYnp6GWq3G0NAQWltb0dzcjMrKSvziF79wmTBbj7t372J8fBx2ux1JSUkI\nDQ11ERFuPCL3b4fDgfHxcXzyySc4deoUBAIBje/ztmybzYbp6WmYTCYkJibi8OHDKCgooDck94Yn\nKYjJpF98fLwvzQmRSASlUonh4WGMj4/j7NmzqK+vR3h4OEQiEUwmE/R6PRISEpCbm4vc3FzMzMzA\nZDIhLi4Or7zyik8TYMDaoUCkfk6nExaLBSaTyeX9jVqoi4uLsFgs1Arn7q9ARlNOp9NlgkogeL7Q\nwOl00rbeKGazGSqVCnq93qM7iIgb1z3CH6F4+l5iYiLeeecd5ObmYmxsDGFhYYiPj0d0dDRUKhXU\najVmZmYQHByM3NxclJeXr0r86G0bE4vYaDS6RPyQDpmsPDMajRgbG4NarYZA8Dx3FT9i4n/Gh+qu\nomR4KBKJYDQaMTIygpmZGVgsFrz11luoqamh/sOVlRUIhUIEBwfTlVTA+tYFv4fu6enB3/72N9y6\ndQsOhwMnT57Ejh076ISJQqFAXl4e+vr6MDg4iEePHiE9PZ32lt7gdDpRX1+P2dlZOBwOOqtNHO7c\ndfPcG95ms+HZs2c4deoUTp8+DaPRiKysLLz33nt00sMbTCYTFhYWsLy8jISEBBpSwxdTp9NJw6WI\nayA/P9/rcoDnPtja2lpIpVK0t7fT+NLo6GhIJBIYjUakpaWhsrIS5eXlaGlpQUdHB13Y4M/w1xPk\nOGRlz+zsLHQ63ao68z/vS/nkniXfIWmyPU2O6fV6DA8Pw2AwICoqiqYt9xbu/c2dnDGbzXT5MLEM\n+Z93dxxvhI6UExMTg927d7tMiDqdTkRFRSE5ORkCgQCRkZFISEhASEiIi4Dzfd1rlSkUCpGZmYmt\nW7fS1VAOhwMSiYQaXURML168iOvXr8Nut1NL1l091yuTywspqHxIL56UlASFQoHl5WVMTU3RGLTN\nmzfTmWrir0pKSkJZWdmqJZiebhL+hdVqtfjiiy/w8OFDCAQClJaWora2Funp6asyNYaEhCAqKgqx\nsbHIyMhAdHS0TxMnExMTMJvNsNlsaG5uxvbt2xEUFESFhnyO+BjJmuyvv/4ap0+fpv7i48ePY+/e\nvT49hDqdDlqtli5jNRqNq2JYnU4nRkdHcf36dXR3d0MoFCI+Pt5ngRMKhUhNTcWJEyewe/dujI+P\n06GuVCqFxWJBbGws9d92dXVBIpEgLS0NtbW1dHaae16A+4eB+8CSh96TWK6srECv18Nisaw6Dv+h\n88XvJhaLXVw/k5OTWFhYoJuScNuYbE359ddfw2q1IioqKmAdiNVqhUwmQ1xcHN37wpsZfk/PiqfX\n+LGtTqcTCoUCycnJdKkrd4TFF3ZvIKGLxNKOjIx02yGkpqaiu7sb33zzDQAgODjY7WfXqqc7fhSC\nCjwXrfz8fPT398PhcGBiYgImkwlCoRBNTU1QqVSYnp5Ge3s7CgoKsGvXLpw8edKri8a1xhwOBywW\nC+7fv4/u7m7ExsZi165d+PWvf40dO3bQh4CI28zMDO7du4fBwUFs2bIF2dnZPqU95t7ADocDjx49\nwpkzZzAwMIDk5GTIZDLYbDZaj5WVFYyNjeHGjRvo7u6G1WpFYmIi3n77bXzwwQc+LaUjQkMehMnJ\nSczMzMBqtdIHwG63Y2xsDKdOncLZs2dhs9mQkJCA8vJyv0J6RCIRwsPDkZOT4xLUzRU+AFCr1RgY\nGIDdbkdpaSl2797tt792LbjuE/4+s/wIC4K3WTojIyMRExNDrae+vj4MDw8jhbdIw2QyYXBwEBcv\nXkRzczMAQC6Xo7Kycs0688Wd24Fw/19aWqKTlSSqwl37cIf4/roa+K4CkUiEkCQeN+8AAAjUSURB\nVJAQSKVSLC0tQavVrvqOrxunrDdaEAgECA4OhkQiocZBRESE2/hbX+v5Qgoq/0YRCJ7PKqenpyMx\nMRGdnZ0YHx/H0tISLBYLbt68icjISGRmZiI3NxdlZWXYuXOn25jF9S6c3W5Hb28vLly4gNnZWezf\nvx/vvvsu3aXGarVCpVJhfHwcWq0WDx8+xLfffgu73Y633noLZWVlPkUVCAQCZGVloaOjAysrKzCZ\nTLh16xaam5tpmJTD4aA3CNn8hPiGc3NzUVNTg/fff9/FveEtCoUC8fHxkEqlMJlM6O3thUqlQkpK\nCqxWK4aHh3H69GmcOXMGCwsLUCgUOHbsGH7zm9/4vUUh9xq4G6babDZ0dHSgoaEBmzZtwvbt290G\nY/tjvfHvLeLXtNlsq7I88C1bvhtkPUi8ZXh4OCwWCx48eIDLly9DJpMhOTkZYrEYWq0WPT09uHLl\nCi5fvgy73Q65XI6ysjIa6bERiI/cbrcjOjraZaLRm7r42sakjbi+YtKGZOi9keNzj0nKcwd3g3ly\nLp42ufHlHF5YQXVXyZycHOzfvx82mw19fX2w2+0ICgpCWFgYMjIycODAAbz66qtuVxat51gn2Gw2\n3Lx5E83NzZifn0dRUREMBgN0Oh0MBgOePXuGa9eu4dtvv6XWnEKhQHV1NQ4dOuRzKBEAvPfee2ht\nbcXjx49dNh/mYrFYXERALpdj7969OHnyJPbt2+f3CiKpVIqsrCw6gVBfX4+EhATs3LkTGo0GX375\nJS5dukQni06cOIEPPviAbtCyUdwNyzUaDTo6OjAwMID9+/djx44dfpfFt9b47gy73Y7l5WUYDAYs\nLS3Re4rb1tzj+FKuWCxGWVkZmpubsbi4CJPJhLNnz6K3txcFBQUICwtDb28vmpubYTAYIBAIoFAo\n8Prrr+N3v/vduh2WO2OB/xrZhUyv10MikQQ0zpYP3yfKd5EQizUQE20ET8K6uLiI+fl5ej5EYDe6\nQ9oLKajuEAqFNGwpPz8fnZ2ddPnnli1boFQqsXXrVjqUAlY3sjeiSqxCMmP46aefQq/Xo7S0FE+f\nPsV3332HqakpREREID09HXFxcaioqMAbb7xB12f7yiuvvII9e/Zgbm4Oc3NzCAoKokHKAoEAy8vL\ndCVIeHg4FfDf/va3iIuL29BDIBQKceDAAdy8eRMqlQojIyP4+9//js8++wwajQazs7MQi8XIzMzE\nsWPH8MEHHwRs9Q4/bIi83t/fj66uLoSFhSEtLQ0JCQmrvsv9jjs8+cr42Gw2umTZbDa7TFx4soTW\nusbccxMKhaiursbExAQsFgv6+/thNpvR2tqKtrY2lzIiIyORmpqKV199FX/4wx+83k93LV+ow+GA\nyWSia/h9iXbx1XLjfof/3dDQUERFRdHdyzzVIRAdNDne8PAw+vr6aCdKnqGNrpx8IQXV0w0rFAoR\nEhKCzMxMZGZmurznzjHN/e1tI0okEtTW1qK7uxtNTU3Q6XQ4f/48Lly4gMjISLqJ8/79+1FVVQWF\nQkHjQv29UGKxGH/9618RERGB77//nrovwsLCEBQUhKmpKYyPj0MikSA3NxdVVVXIzs4OSFYAAMjM\nzERaWhra29thNBqhUqkwNTUFsVgMuVwOpVKJEydOoLq6esM9PB9ujC0Auj8qWY5ZVFTkd5nuXEfc\nH2K5SCQSxMXFITo6OmAWHLHSxGIxfvWrXyE2NhYff/wxOjs7YTQaIZVKERsbi6ioKERERCA/Px/H\njx9HcXGxX9eVG03AH5klJycjNDSUjioCaSFy4fqaueeSkZGB4uJiPH36FImJiat8vf6w3qSayWTC\n0tISfZ3EknuamPKWF1JQ18PbBiFxfr6InVAoRG5uLv7xj3/go48+wp07d2AwGCCVSqFUKnH06FEU\nFBQEZI8AgkAgQGhoKD788EMackV8e8TSIJ9zZwH4Ct9PGBISgj179qCvr4/O4oeHhyM1NRUnT57E\nG2+8gfDw8FVisxHLwl0dyINmMplgMpmwefNmpKWl+ewH57PWwxscHIyCggKEh4ejsLDQY3qXjbgc\nJBIJjh49iuTkZFy8eBE9PT1ITU3F4cOHUVpaioiICK+G456OT3yFZEjNJTw8nHZK/PQfa03q+IO7\n+0EgEGDbtm3Iy8ujKxj5S5oDcS/zyyRRN2Qja7Lp9datW/0uC/iRCqo73Fkj/voVhUIhFAoF/vKX\nv6walgZKRD2VSzbEJeWR139IRCIRjh49irCwMFy9ehURERHYs2cPlEol5HJ5QMvnixvf0tDr9TSu\nNyUlhcYw+lsWsLZwEDcSiQ/l+/j8Gfa6QywWo6KiAhUVFX4f2x2kPd1lqRAIns92x8fHu+2IfyhL\nlX+Ng4KCaPSJ0+mkS2A3ArFEuWVxy8zMzERFRQUmJiYQGhqK0tJSvPzyyxtu8/8ZQXVHIG7YH1pE\nPZX5nz6+VCrF4cOHcfjwYa/PYSNCx58sIszNzWF4eBjT09MuOwj5g7t123yIGAU606mnsn4IPLWR\nt/duIH2X5Hjcv4l7QyAQYGJiAlqt1q/JWz7uLHLyemJiIv785z/jT3/6E41j93V3fnf8zwjqf1r0\nfoz8J9qQX4ZQKKS5wEjgf3l5OTo6OhAdHR2Qh2C9c3iR2Uhdfoh2ICLO9emKxWJs3rwZUVFRsFqt\nAXWXrXUeIpEoYPMM9Lg/VG/7A/DCnCjjx02gZ50ZnhdJ/Bey5kV/kQSVwWAw/qv5r+4KGAwG40WC\nCSqDwWAECCaoDAaDESCYoDIYDEaAYILKYDAYAYIJKoPBYAQIJqgMBoMRIJigMhgMRoBggspgMBgB\nggkqg8FgBAgmqAwGgxEgmKAyGAxGgGCCymAwGAGCCSqDwWAECCaoDAaDESCYoDIYDEaAYILKYDAY\nAYIJKoPBYAQIJqgMBoMRIJigMhgMRoBggspgMBgBggkqg8FgBAgmqAwGgxEgmKAyGAxGgGCCymAw\nGAGCCSqDwWAECCaoDAaDESCYoDIYDEaAYILKYDAYAeL/AOx5z5giayloAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "inputs, targets = valid_data.next()\n", + "recons = model.fprop(inputs)[-1]\n", + "_ = show_batch_of_images(inputs.reshape((-1, 28, 28)), (4, 2), 5)\n", + "_ = show_batch_of_images(recons.reshape((-1, 28, 28)), (4, 2), 5)" + ] }, { "cell_type": "markdown", @@ -239,12 +601,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], - "source": [] + "source": [ + "class MNISTDenoisingAutoencoderDataProvider(data_providers.MNISTDataProvider):\n", + " \"\"\"Simple wrapper data provider for training a denoising autoencoder on MNIST.\"\"\"\n", + "\n", + " def next(self):\n", + " \"\"\"Returns next data batch or raises `StopIteration` if at end.\"\"\"\n", + " inputs, targets = super(\n", + " MNISTDenoisingAutoencoderDataProvider, self).next()\n", + " noised_inputs = (self.rng.uniform(size=inputs.shape) < 0.75) * inputs\n", + " return noised_inputs, inputs" + ] }, { "cell_type": "markdown", @@ -255,12 +627,145 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], - "source": [] + "source": [ + "# Create data provider objects for the MNIST data set\n", + "train_data = MNISTDenoisingAutoencoderDataProvider('train', batch_size=50, rng=rng)\n", + "valid_data = MNISTDenoisingAutoencoderDataProvider('valid', batch_size=50, rng=rng)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "input_dim, output_dim, hidden_dim = 784, 784, 50\n", + "\n", + "weights_init = initialisers.GlorotUniformInit(rng=rng)\n", + "biases_init = initialisers.ConstantInit(0.)\n", + "\n", + "model = models.MultipleLayerModel([\n", + " layers.AffineLayer(input_dim, hidden_dim, weights_init, biases_init),\n", + " layers.ReluLayer(),\n", + " layers.AffineLayer(hidden_dim, output_dim, weights_init, biases_init),\n", + " layers.SigmoidLayer()\n", + "])\n", + "\n", + "error = errors.SumOfSquaredDiffsError()\n", + "\n", + "learning_rule = learning_rules.AdamLearningRule()\n", + "\n", + "num_epochs = 25\n", + "stats_interval = 1\n", + "optimiser = optimisers.Optimiser(\n", + " model, error, learning_rule, train_data, valid_data)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Epoch 0:\n", + " error(train)=9.08e+01, error(valid)=9.08e+01, params_penalty=0.00e+00\n", + "Epoch 1: 6.40s to complete\n", + " error(train)=8.95e+00, error(valid)=8.80e+00, params_penalty=0.00e+00\n", + "Epoch 2: 6.40s to complete\n", + " error(train)=6.16e+00, error(valid)=6.13e+00, params_penalty=0.00e+00\n", + "Epoch 3: 5.04s to complete\n", + " error(train)=5.23e+00, error(valid)=5.23e+00, params_penalty=0.00e+00\n", + "Epoch 4: 5.03s to complete\n", + " error(train)=4.93e+00, error(valid)=4.95e+00, params_penalty=0.00e+00\n", + "Epoch 5: 5.16s to complete\n", + " error(train)=4.84e+00, error(valid)=4.86e+00, params_penalty=0.00e+00\n", + "Epoch 6: 6.21s to complete\n", + " error(train)=4.78e+00, error(valid)=4.80e+00, params_penalty=0.00e+00\n", + "Epoch 7: 5.03s to complete\n", + " error(train)=4.72e+00, error(valid)=4.74e+00, params_penalty=0.00e+00\n", + "Epoch 8: 5.02s to complete\n", + " error(train)=4.71e+00, error(valid)=4.71e+00, params_penalty=0.00e+00\n", + "Epoch 9: 5.01s to complete\n", + " error(train)=4.68e+00, error(valid)=4.71e+00, params_penalty=0.00e+00\n", + "Epoch 10: 5.05s to complete\n", + " error(train)=4.69e+00, error(valid)=4.70e+00, params_penalty=0.00e+00\n", + "Epoch 11: 5.12s to complete\n", + " error(train)=4.64e+00, error(valid)=4.68e+00, params_penalty=0.00e+00\n", + "Epoch 12: 5.08s to complete\n", + " error(train)=4.64e+00, error(valid)=4.68e+00, params_penalty=0.00e+00\n", + "Epoch 13: 5.61s to complete\n", + " error(train)=4.64e+00, error(valid)=4.67e+00, params_penalty=0.00e+00\n", + "Epoch 14: 5.17s to complete\n", + " error(train)=4.63e+00, error(valid)=4.66e+00, params_penalty=0.00e+00\n", + "Epoch 15: 5.74s to complete\n", + " error(train)=4.60e+00, error(valid)=4.62e+00, params_penalty=0.00e+00\n", + "Epoch 16: 5.21s to complete\n", + " error(train)=4.60e+00, error(valid)=4.63e+00, params_penalty=0.00e+00\n", + "Epoch 17: 5.03s to complete\n", + " error(train)=4.58e+00, error(valid)=4.61e+00, params_penalty=0.00e+00\n", + "Epoch 18: 5.07s to complete\n", + " error(train)=4.57e+00, error(valid)=4.61e+00, params_penalty=0.00e+00\n", + "Epoch 19: 5.17s to complete\n", + " error(train)=4.57e+00, error(valid)=4.60e+00, params_penalty=0.00e+00\n", + "Epoch 20: 5.03s to complete\n", + " error(train)=4.57e+00, error(valid)=4.62e+00, params_penalty=0.00e+00\n", + "Epoch 21: 5.01s to complete\n", + " error(train)=4.57e+00, error(valid)=4.62e+00, params_penalty=0.00e+00\n", + "Epoch 22: 5.12s to complete\n", + " error(train)=4.56e+00, error(valid)=4.62e+00, params_penalty=0.00e+00\n", + "Epoch 23: 5.01s to complete\n", + " error(train)=4.55e+00, error(valid)=4.59e+00, params_penalty=0.00e+00\n", + "Epoch 24: 5.05s to complete\n", + " error(train)=4.56e+00, error(valid)=4.61e+00, params_penalty=0.00e+00\n", + "Epoch 25: 5.06s to complete\n", + " error(train)=4.55e+00, error(valid)=4.59e+00, params_penalty=0.00e+00\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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pK3xJPio8Oyj4cleoSxERERHpsxRIW1G39FOpp5DS0hAXIyIiItJHKZC2wpfs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\n5Xy3o4+vqYBU0u8STYDaDZwH3A3cLGlLqg2zlbI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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "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", + "ax_1 = fig_1.add_subplot(111)\n", + "for k in ['error(train)', 'error(valid)']:\n", + " ax_1.plot(np.arange(1, stats.shape[0]) * stats_interval, \n", + " stats[1:, keys[k]], label=k)\n", + "ax_1.legend(loc=0)\n", + "ax_1.set_xlabel('Epoch number')" + ] }, { "cell_type": "markdown", @@ -271,12 +776,38 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": { "collapsed": false }, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "image/png": 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339G3b18WL14s+CbQ/xU6y9WtXr0auVzO448/LlhSho77nt/1UHWCqkOHDh1/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0cOD1emltbcVkMuH1elm1ahVVVVXSIha1C/9NF+yiFDWYqakpvvvuO+rr6xkb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\npdAJh8PYb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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "inputs, targets = valid_data.next()\n", + "recons = model.fprop(inputs)[-1]\n", + "_ = show_batch_of_images(inputs.reshape((-1, 28, 28)), (4, 2), 5)\n", + "_ = show_batch_of_images(recons.reshape((-1, 28, 28)), (4, 2), 5)" + ] }, { "cell_type": "markdown", @@ -296,12 +827,145 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], - "source": [] + "source": [ + "ae_model = model\n", + "train_data = data_providers.MNISTDataProvider('train', batch_size=50, rng=rng)\n", + "valid_data = data_providers.MNISTDataProvider('valid', batch_size=50, rng=rng)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "input_dim, output_dim, hidden_dim = 784, 10, 50\n", + "\n", + "weights_init = initialisers.GlorotUniformInit(rng=rng)\n", + "biases_init = initialisers.ConstantInit(0.)\n", + "\n", + "model = models.MultipleLayerModel([\n", + " ae_model.layers[0],\n", + " layers.ReluLayer(),\n", + " layers.AffineLayer(hidden_dim, output_dim, weights_init, biases_init)\n", + "])\n", + "\n", + "error = errors.CrossEntropySoftmaxError()\n", + "\n", + "learning_rule = learning_rules.AdamLearningRule()\n", + "\n", + "num_epochs = 25\n", + "stats_interval = 1\n", + "data_monitors={'acc': lambda y, t: (y.argmax(-1) == t.argmax(-1)).mean()}\n", + "optimiser = optimisers.Optimiser(\n", + " model, error, learning_rule, train_data, valid_data, data_monitors)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Epoch 0:\n", + " error(train)=1.09e+01, acc(train)=1.03e-01, error(valid)=1.07e+01, acc(valid)=1.05e-01, params_penalty=0.00e+00\n", + "Epoch 1: 1.38s to complete\n", + " error(train)=3.31e-01, acc(train)=9.05e-01, error(valid)=3.11e-01, acc(valid)=9.12e-01, params_penalty=0.00e+00\n", + "Epoch 2: 1.34s to complete\n", + " error(train)=2.61e-01, acc(train)=9.25e-01, error(valid)=2.51e-01, acc(valid)=9.30e-01, params_penalty=0.00e+00\n", + "Epoch 3: 1.34s to complete\n", + " error(train)=2.17e-01, acc(train)=9.37e-01, error(valid)=2.12e-01, acc(valid)=9.41e-01, params_penalty=0.00e+00\n", + "Epoch 4: 1.36s to complete\n", + " error(train)=1.88e-01, acc(train)=9.46e-01, error(valid)=1.94e-01, acc(valid)=9.46e-01, params_penalty=0.00e+00\n", + "Epoch 5: 1.40s to complete\n", + " error(train)=1.73e-01, acc(train)=9.47e-01, error(valid)=1.88e-01, acc(valid)=9.45e-01, params_penalty=0.00e+00\n", + "Epoch 6: 1.40s to complete\n", + " error(train)=1.41e-01, acc(train)=9.59e-01, error(valid)=1.64e-01, acc(valid)=9.54e-01, params_penalty=0.00e+00\n", + "Epoch 7: 1.35s to complete\n", + " error(train)=1.39e-01, acc(train)=9.58e-01, error(valid)=1.66e-01, acc(valid)=9.53e-01, params_penalty=0.00e+00\n", + "Epoch 8: 1.41s to complete\n", + " error(train)=1.12e-01, acc(train)=9.66e-01, error(valid)=1.45e-01, acc(valid)=9.59e-01, params_penalty=0.00e+00\n", + "Epoch 9: 1.46s to complete\n", + " error(train)=1.09e-01, acc(train)=9.67e-01, error(valid)=1.48e-01, acc(valid)=9.58e-01, params_penalty=0.00e+00\n", + "Epoch 10: 1.40s to complete\n", + " error(train)=8.54e-02, acc(train)=9.75e-01, error(valid)=1.29e-01, acc(valid)=9.64e-01, params_penalty=0.00e+00\n", + "Epoch 11: 1.58s to complete\n", + " error(train)=8.34e-02, acc(train)=9.75e-01, error(valid)=1.34e-01, acc(valid)=9.62e-01, params_penalty=0.00e+00\n", + "Epoch 12: 1.44s to complete\n", + " error(train)=7.08e-02, acc(train)=9.79e-01, error(valid)=1.18e-01, acc(valid)=9.66e-01, params_penalty=0.00e+00\n", + "Epoch 13: 1.50s to complete\n", + " error(train)=6.54e-02, acc(train)=9.81e-01, error(valid)=1.25e-01, acc(valid)=9.64e-01, params_penalty=0.00e+00\n", + "Epoch 14: 1.63s to complete\n", + " error(train)=6.31e-02, acc(train)=9.82e-01, error(valid)=1.22e-01, acc(valid)=9.65e-01, params_penalty=0.00e+00\n", + "Epoch 15: 1.63s to complete\n", + " error(train)=5.89e-02, acc(train)=9.83e-01, error(valid)=1.19e-01, acc(valid)=9.67e-01, params_penalty=0.00e+00\n", + "Epoch 16: 1.39s to complete\n", + " error(train)=5.33e-02, acc(train)=9.85e-01, error(valid)=1.23e-01, acc(valid)=9.66e-01, params_penalty=0.00e+00\n", + "Epoch 17: 1.43s to complete\n", + " error(train)=4.60e-02, acc(train)=9.88e-01, error(valid)=1.14e-01, acc(valid)=9.70e-01, params_penalty=0.00e+00\n", + "Epoch 18: 1.39s to complete\n", + " error(train)=4.64e-02, acc(train)=9.86e-01, error(valid)=1.26e-01, acc(valid)=9.65e-01, params_penalty=0.00e+00\n", + "Epoch 19: 1.54s to complete\n", + " error(train)=4.28e-02, acc(train)=9.88e-01, error(valid)=1.30e-01, acc(valid)=9.64e-01, params_penalty=0.00e+00\n", + "Epoch 20: 1.40s to complete\n", + " error(train)=3.49e-02, acc(train)=9.91e-01, error(valid)=1.17e-01, acc(valid)=9.67e-01, params_penalty=0.00e+00\n", + "Epoch 21: 1.44s to complete\n", + " error(train)=3.74e-02, acc(train)=9.89e-01, error(valid)=1.26e-01, acc(valid)=9.67e-01, params_penalty=0.00e+00\n", + "Epoch 22: 1.52s to complete\n", + " error(train)=2.74e-02, acc(train)=9.93e-01, error(valid)=1.18e-01, acc(valid)=9.69e-01, params_penalty=0.00e+00\n", + "Epoch 23: 1.40s to complete\n", + " error(train)=2.71e-02, acc(train)=9.93e-01, error(valid)=1.19e-01, acc(valid)=9.69e-01, params_penalty=0.00e+00\n", + "Epoch 24: 1.41s to complete\n", + " error(train)=2.36e-02, acc(train)=9.94e-01, error(valid)=1.20e-01, acc(valid)=9.69e-01, params_penalty=0.00e+00\n", + "Epoch 25: 1.53s to complete\n", + " error(train)=2.44e-02, acc(train)=9.93e-01, error(valid)=1.29e-01, acc(valid)=9.68e-01, params_penalty=0.00e+00\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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HzzZ+liU7l/Db0d8AaNAA6tZ13pAlIiIiImmj0JrFHqz9IGV8yzBp7SQg5Q1Z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\nREQk5v1/onqCcK34Bv4AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "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", + "ax_1 = fig_1.add_subplot(111)\n", + "for k in ['error(train)', 'error(valid)']:\n", + " ax_1.plot(np.arange(1, stats.shape[0]) * stats_interval, \n", + " stats[1:, keys[k]], label=k)\n", + "ax_1.legend(loc=0)\n", + "ax_1.set_xlabel('Epoch number')" + ] } ], "metadata": {