e8333c02f1
commit eb66a44a9f899e20457576a3d34ceb33e0b46004 Author: Matt Graham <m.m.graham@ed.ac.uk> Date: Mon Oct 3 12:17:55 2016 +0100 Restoring output without static function definitions. commit 623748b334b7f0667c0b2d6e2f829a49978e87eb Author: Matt Graham <m.m.graham@ed.ac.uk> Date: Mon Oct 3 12:16:29 2016 +0100 Removing loaded static function definitions to test if helps Github rendering. commit 9b4c21b97e7766ba20db00f80bbd31081417c269 Author: Matt Graham <m.m.graham@ed.ac.uk> Date: Mon Oct 3 12:14:42 2016 +0100 Removing outputs from notebook to check if allows Github to render.
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"# Introduction\n",
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"\n",
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"## Getting started with Jupyter notebooks\n",
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"\n",
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"The majority of your work in this course will be done using Jupyter notebooks so we will here introduce some of the basics of the notebook system. If you are already comfortable using notebooks or just would rather get on with some coding feel free to [skip straight to the exercises below](#Exercises).\n",
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"\n",
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"*Note: Jupyter notebooks are also known as IPython notebooks. The Jupyter system now supports languages other than Python [hence the name was changed to make it more language agnostic](https://ipython.org/#jupyter-and-the-future-of-ipython) however IPython notebook is still commonly used.*\n",
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"\n",
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"### Jupyter basics: the server, dashboard and kernels\n",
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"\n",
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"In launching this notebook you will have already come across two of the other key components of the Jupyter system - the notebook *server* and *dashboard* interface.\n",
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"\n",
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"We began by starting a notebook server instance in the terminal by running\n",
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"\n",
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"```\n",
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"jupyter notebook\n",
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"```\n",
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"\n",
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"This will have begun printing a series of log messages to terminal output similar to\n",
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"\n",
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"```\n",
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"$ jupyter notebook\n",
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"[I 08:58:24.417 NotebookApp] Serving notebooks from local directory: ~/mlpractical\n",
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"[I 08:58:24.417 NotebookApp] 0 active kernels\n",
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"[I 08:58:24.417 NotebookApp] The Jupyter Notebook is running at: http://localhost:8888/\n",
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"```\n",
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"\n",
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"The last message included here indicates the URL the application is being served at. The default behaviour of the `jupyter notebook` command is to open a tab in a web browser pointing to this address after the server has started up. The server can be launched without opening a browser window by running `jupyter notebook --no-browser`. This can be useful for example when running a notebook server on a remote machine over SSH. Descriptions of various other command options can be found by displaying the command help page using\n",
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"\n",
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"```\n",
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"juptyer notebook --help\n",
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"```\n",
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"\n",
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"While the notebook server is running it will continue printing log messages to terminal it was started from. Unless you detach the process from the terminal session you will need to keep the session open to keep the notebook server alive. If you want to close down a running server instance from the terminal you can use `Ctrl+C` - this will bring up a confirmation message asking you to confirm you wish to shut the server down. You can either enter `y` or skip the confirmation by hitting `Ctrl+C` again.\n",
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"\n",
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"When the notebook application first opens in your browser you are taken to the notebook *dashboard*. This will appear something like this\n",
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"\n",
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"<img src='res/jupyter-dashboard.png' />\n",
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"\n",
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"The dashboard above is showing the `Files` tab, a list of files in the directory the notebook server was launched from. We can navigate in to a sub-directory by clicking on a directory name and back up to the parent directory by clicking the `..` link. An important point to note is that the top-most level that you will be able to navigate to is the directory you run the server from. This is a security feature and generally you should try to limit the access the server has by launching it in the highest level directory which gives you access to all the files you need to work with.\n",
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"\n",
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"As well as allowing you to launch existing notebooks, the `Files` tab of the dashboard also allows new notebooks to be created using the `New` drop-down on the right. It can also perform basic file-management tasks such as renaming and deleting files (select a file by checking the box alongside it to bring up a context menu toolbar).\n",
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"\n",
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"In addition to opening notebook files, we can also edit text files such as `.py` source files, directly in the browser by opening them from the dashboard. The in-built text-editor is less-featured than a full IDE but is useful for quick edits of source files and previewing data files.\n",
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"\n",
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"The `Running` tab of the dashboard gives a list of the currently running notebook instances. This can be useful to keep track of which notebooks are still running and to shutdown (or reopen) old notebook processes when the corresponding tab has been closed.\n",
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"\n",
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"### The notebook interface\n",
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"\n",
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"The top of your notebook window should appear something like this:\n",
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"\n",
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"<img src='res/jupyter-notebook-interface.png' />\n",
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"\n",
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"The name of the current notebook is displayed at the top of the page and can be edited by clicking on the text of the name. Displayed alongside this is an indication of the last manual *checkpoint* of the notebook file. On-going changes are auto-saved at regular intervals; the check-point mechanism is mainly meant as a way to recover an earlier version of a notebook after making unwanted changes. Note the default system only currently supports storing a single previous checkpoint despite the `Revert to checkpoint` dropdown under the `File` menu perhaps suggesting otherwise.\n",
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"\n",
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"As well as having options to save and revert to checkpoints, the `File` menu also allows new notebooks to be created in same directory as the current notebook, a copy of the current notebook to be made and the ability to export the current notebook to various formats.\n",
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"\n",
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"The `Edit` menu contains standard clipboard functions as well as options for reorganising notebook *cells*. Cells are the basic units of notebooks, and can contain formatted text like the one you are reading at the moment or runnable code as we will see below. The `Edit` and `Insert` drop down menus offer various options for moving cells around the notebook, merging and splitting cells and inserting new ones, while the `Cell` menu allow running of code cells and changing cell types.\n",
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"\n",
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"The `Kernel` menu offers some useful commands for managing the Python process (kernel) running in the notebook. In particular it provides options for interrupting a busy kernel (useful for example if you realise you have set a slow code cell running with incorrect parameters) and to restart the current kernel. This will cause all variables currently defined in the workspace to be lost but may be necessary to get the kernel back to a consistent state after polluting the namespace with lots of global variables or when trying to run code from an updated module and `reload` is failing to work. \n",
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"\n",
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"To the far right of the menu toolbar is a kernel status indicator. When a dark filled circle is shown this means the kernel is currently busy and any further code cell run commands will be queued to happen after the currently running cell has completed. An open status circle indicates the kernel is currently idle.\n",
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"\n",
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"The final row of the top notebook interface is the notebook toolbar which contains shortcut buttons to some common commands such as clipboard actions and cell / kernel management. If you are interested in learning more about the notebook user interface you may wish to run through the `User Interface Tour` under the `Help` menu drop down.\n",
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"\n",
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"### Markdown cells: easy text formatting\n",
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"\n",
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"This entire introduction has been written in what is termed a *Markdown* cell of a notebook. [Markdown](https://en.wikipedia.org/wiki/Markdown) is a lightweight markup language intended to be readable in plain-text. As you may wish to use Markdown cells to keep your own formatted notes in notebooks, a small sampling of the formatting syntax available is below (escaped mark-up on top and corresponding rendered output below that); there are many much more extensive syntax guides - for example [this cheatsheet](https://github.com/adam-p/markdown-here/wiki/Markdown-Cheatsheet).\n",
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"\n",
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"---\n",
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"\n",
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"```\n",
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"## Level 2 heading\n",
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"### Level 3 heading\n",
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"\n",
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"*Italicised* and **bold** text.\n",
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"\n",
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" * bulleted\n",
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" * lists\n",
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" \n",
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"and\n",
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"\n",
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" 1. enumerated\n",
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" 2. lists\n",
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"\n",
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"Inline maths $y = mx + c$ using [MathJax](https://www.mathjax.org/) as well as display style\n",
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"\n",
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"$$ ax^2 + bx + c = 0 \\qquad \\Rightarrow \\qquad x = \\frac{-b \\pm \\sqrt{b^2 - 4ac}}{2a} $$\n",
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"```\n",
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"---\n",
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"\n",
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"## Level 2 heading\n",
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"### Level 3 heading\n",
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"\n",
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"*Italicised* and **bold** text.\n",
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"\n",
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" * bulleted\n",
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" * lists\n",
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" \n",
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"and\n",
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"\n",
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" 1. enumerated\n",
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" 2. lists\n",
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"\n",
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"Inline maths $y = mx + c$ using [MathJax]() as well as display maths\n",
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"\n",
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"$$ ax^2 + bx + c = 0 \\qquad \\Rightarrow \\qquad x = \\frac{-b \\pm \\sqrt{b^2 - 4ac}}{2a} $$\n",
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"\n",
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"---\n",
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"\n",
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"We can also directly use HTML tags in Markdown cells to embed rich content such as images and videos.\n",
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"\n",
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"---\n",
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"```\n",
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"<img src=\"http://placehold.it/350x150\" />\n",
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"```\n",
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"---\n",
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"\n",
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"<img src=\"http://placehold.it/350x150\" />\n",
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"\n",
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"---\n",
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"\n",
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" \n",
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"### Code cells: in browser code execution\n",
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"\n",
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"Up to now we have not seen any runnable code. An example of a executable code cell is below. To run it first click on the cell so that it is highlighted, then either click the <i class=\"fa-step-forward fa\"></i> button on the notebook toolbar, go to `Cell > Run Cells` or use the keyboard shortcut `Ctrl+Enter`."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"collapsed": false,
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"scrolled": false
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Hello world!\n",
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"Hello again!\n"
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]
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},
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"Alarming hello!\n"
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]
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},
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{
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"data": {
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"text/plain": [
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"'And again!'"
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]
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},
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"execution_count": 1,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"from __future__ import print_function\n",
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"import sys\n",
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"\n",
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"print('Hello world!')\n",
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"print('Alarming hello!', file=sys.stderr)\n",
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"print('Hello again!')\n",
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"'And again!'"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"This example shows the three main components of a code cell.\n",
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"\n",
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"The most obvious is the input area. This (unsuprisingly) is used to enter the code to be run which will be automatically syntax highlighted.\n",
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"\n",
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"To the immediate left of the input area is the execution indicator / counter. Before a code cell is first run this will display `In [ ]:`. After the cell is run this is updated to `In [n]:` where `n` is a number corresponding to the current execution counter which is incremented whenever any code cell in the notebook is run. This can therefore be used to keep track of the relative order in which cells were last run. There is no fundamental requirement to run cells in the order they are organised in the notebook, though things will usually be more readable if you keep things in roughly in order!\n",
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"\n",
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"Immediately below the input area is the output area. This shows any output produced by the code in the cell. This is dealt with a little bit confusingly in the current Jupyter version. At the top any output to [`stdout`](https://en.wikipedia.org/wiki/Standard_streams#Standard_output_.28stdout.29) is displayed. Immediately below that output to [`stderr`](https://en.wikipedia.org/wiki/Standard_streams#Standard_error_.28stderr.29) is displayed. All of the output to `stdout` is displayed together even if there has been output to `stderr` between as shown by the suprising ordering in the output here. \n",
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"\n",
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"The final part of the output area is the *display* area. By default this will just display the returned output of the last Python statement as would usually be the case in a (I)Python interpreter run in a terminal. What is displayed for a particular object is by default determined by its special `__repr__` method e.g. for a string it is just the quote enclosed value of the string itself.\n",
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"\n",
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"### Useful keyboard shortcuts\n",
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"\n",
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"There are a wealth of keyboard shortcuts available in the notebook interface. For an exhaustive list see the `Keyboard Shortcuts` option under the `Help` menu. We will cover a few of those we find most useful below.\n",
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"\n",
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"Shortcuts come in two flavours: those applicable in *command mode*, active when no cell is currently being edited and indicated by a blue highlight around the current cell; those applicable in *edit mode* when the content of a cell is being edited, indicated by a green current cell highlight.\n",
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"\n",
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"In edit mode of a code cell, two of the more generically useful keyboard shortcuts are offered by the `Tab` key.\n",
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"\n",
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" * Pressing `Tab` a single time while editing code will bring up suggested completions of what you have typed so far. This is done in a scope aware manner so for example typing `a` + `[Tab]` in a code cell will come up with a list of objects beginning with `a` in the current global namespace, while typing `np.a` + `[Tab]` (assuming `import numpy as np` has been run already) will bring up a list of objects in the root NumPy namespace beginning with `a`.\n",
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" * Pressing `Shift+Tab` once immediately after opening parenthesis of a function or method will cause a tool-tip to appear with the function signature (including argument names and defaults) and its docstring. Pressing `Shift+Tab` twice in succession will cause an expanded version of the same tooltip to appear, useful for longer docstrings. Pressing `Shift+Tab` four times in succession will cause the information to be instead displayed in a pager docked to bottom of the notebook interface which stays attached even when making further edits to the code cell and so can be useful for keeping documentation visible when editing e.g. to help remember the name of arguments to a function and their purposes.\n",
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"\n",
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"A series of useful shortcuts available in both command and edit mode are `[modifier]+Enter` where `[modifier]` is one of `Ctrl` (run selected cell), `Shift` (run selected cell and select next) or `Alt` (run selected cell and insert a new cell after).\n",
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"\n",
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"A useful command mode shortcut to know about is the ability to toggle line numbers on and off for a cell by pressing `L` which can be useful when trying to diagnose stack traces printed when an exception is raised or when referring someone else to a section of code.\n",
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" \n",
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"### Magics\n",
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"\n",
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"There are a range of *magic* commands in IPython notebooks, than provide helpful tools outside of the usual Python syntax. A full list of the inbuilt magic commands is given [here](http://ipython.readthedocs.io/en/stable/interactive/magics.html), however three that are particularly useful for this course:\n",
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"\n",
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" * [`%%timeit`](http://ipython.readthedocs.io/en/stable/interactive/magics.html?highlight=matplotlib#magic-timeit) Put at the beginning of a cell to time its execution and print the resulting timing statistics.\n",
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" * [`%precision`](http://ipython.readthedocs.io/en/stable/interactive/magics.html?highlight=matplotlib#magic-precision) Set the precision for pretty printing of floating point values and NumPy arrays.\n",
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" * [`%debug`](http://ipython.readthedocs.io/en/stable/interactive/magics.html?highlight=matplotlib#magic-debug) Activates the interactive debugger in a cell. Run after an exception has been occured to help diagnose the issue.\n",
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" \n",
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"### Plotting with `matplotlib`\n",
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"\n",
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"When setting up your environment one of the dependencies we asked you to install was `matplotlib`. This is an extensive plotting and data visualisation library which is tightly integrated with NumPy and Jupyter notebooks.\n",
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"\n",
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"When using `matplotlib` in a notebook you should first run the [magic command](http://ipython.readthedocs.io/en/stable/interactive/magics.html?highlight=matplotlib)\n",
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"\n",
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"```\n",
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"%matplotlib inline\n",
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"```\n",
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"\n",
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"This will cause all plots to be automatically displayed as images in the output area of the cell they are created in. Below we give a toy example of plotting two sinusoids using `matplotlib` to show case some of the basic plot options. To see the output produced select the cell and then run it."
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t9erB4sUyOYaVeXrCp59CqVLw1lt6vOEff9TjOa9dC8Wsd6kJIYTbiYmJYcyYMeTLl4+I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\nCCGEEMKV/g/9AdlDBfWSkwAAAABJRU5ErkJggg==\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7febb0b520d0>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# use the matplotlib magic to specify to display plots inline in the notebook\n",
|
|
"%matplotlib inline\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"import numpy as np\n",
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"\n",
|
|
"# generate a pair of sinusoids\n",
|
|
"x = np.linspace(0., 2. * np.pi, 100)\n",
|
|
"y1 = np.sin(x)\n",
|
|
"y2 = np.cos(x)\n",
|
|
"\n",
|
|
"# produce a new figure object with a defined (width, height) in inches\n",
|
|
"fig = plt.figure(figsize=(8, 4))\n",
|
|
"# add a single axis to the figure\n",
|
|
"ax = fig.add_subplot(111)\n",
|
|
"# plot the two sinusoidal traces on the axis, adjusting the line width\n",
|
|
"# and adding LaTeX legend labels\n",
|
|
"ax.plot(x, y1, linewidth=2, label=r'$\\sin(x)$')\n",
|
|
"ax.plot(x, y2, linewidth=2, label=r'$\\cos(x)$')\n",
|
|
"# set the axis labels\n",
|
|
"ax.set_xlabel('$x$', fontsize=16)\n",
|
|
"ax.set_ylabel('$y$', fontsize=16)\n",
|
|
"# force the legend to be displayed\n",
|
|
"ax.legend()\n",
|
|
"# adjust the limits of the horizontal axis\n",
|
|
"ax.set_xlim(0., 2. * np.pi)\n",
|
|
"# make a grid be displayed in the axis background\n",
|
|
"ax.grid('on')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"nbpresent": {
|
|
"id": "533c10f0-95ba-4684-a72d-fd52cef0d007"
|
|
}
|
|
},
|
|
"source": [
|
|
"# Exercises\n",
|
|
"\n",
|
|
"Today's exercises are meant to allow you to get some initial familiarisation with the `mlp` package and how data is provided to the learning functions. Next week onwards, we will follow with the material covered in lectures. \n",
|
|
"\n",
|
|
"If you are new to Python and/or NumPy and are struggling to complete the exercises, you may find going through [this Stanford University tutorial](http://cs231n.github.io/python-numpy-tutorial/) by [Justin Johnson](http://cs.stanford.edu/people/jcjohns/) first helps. There is also a derived Jupyter notebook by [Volodymyr Kuleshov](http://web.stanford.edu/~kuleshov/) and [Isaac Caswell](https://symsys.stanford.edu/viewing/symsysaffiliate/21335) which you can download [from here](https://github.com/kuleshov/cs228-material/raw/master/tutorials/python/cs228-python-tutorial.ipynb) - if you save this in to your `mlpractical/notebooks` directory you should be able to open the notebook from the dashboard to run the examples.\n",
|
|
"\n",
|
|
"## Data providers\n",
|
|
"\n",
|
|
"Open (in the browser) the [`mlp.data_providers`](../../edit/mlp/data_providers.py) module. Have a look through the code and comments, then follow to the exercises.\n",
|
|
"\n",
|
|
"### Exercise 1 \n",
|
|
"\n",
|
|
"The `MNISTDataProvider` iterates over input images and target classes (digit IDs) from the [MNIST database of handwritten digit images](http://yann.lecun.com/exdb/mnist/), a common supervised learning benchmark task. Using the data provider and `matplotlib` we can for example iterate over the first couple of images in the dataset and display them using the following code:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"metadata": {
|
|
"collapsed": false,
|
|
"nbpresent": {
|
|
"id": "978c1095-a9ce-4626-a113-e0be5fe51ecb"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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BWKlUjCDkfoJ/T7vTyK+ICuMVyCI82TVQHvCnS0Jh5PN5+L5vwq7FYhG5XA4AzNs/k8k4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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7feb931e5b50>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Image target: [[ 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.]]\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAMYAAADGCAYAAACJm/9dAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/g9qlKuo3ZWvAAAAAABJRU5ErkJggg==\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7feb8e7b0190>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Image target: [[ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"%matplotlib inline\n",
|
|
"import numpy as np\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"import mlp.data_providers as data_providers\n",
|
|
"\n",
|
|
"def show_single_image(img, fig_size=(2, 2)):\n",
|
|
" fig = plt.figure(figsize=fig_size)\n",
|
|
" ax = fig.add_subplot(111)\n",
|
|
" ax.imshow(img, cmap='Greys')\n",
|
|
" ax.axis('off')\n",
|
|
" plt.show()\n",
|
|
" return fig, ax\n",
|
|
"\n",
|
|
"# An example for a single MNIST image\n",
|
|
"mnist_dp = data_providers.MNISTDataProvider(\n",
|
|
" which_set='valid', batch_size=1, max_num_batches=2, shuffle_order=True)\n",
|
|
"\n",
|
|
"for inputs, target in mnist_dp:\n",
|
|
" show_single_image(inputs.reshape((28, 28)))\n",
|
|
" print('Image target: {0}'.format(target))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Generally we will want to deal with batches of multiple images i.e. `batch_size > 1`. As a first task:\n",
|
|
"\n",
|
|
" * Using MNISTDataProvider, write code that iterates over the first 5 minibatches of size 100 data-points. \n",
|
|
" * Display each batch of MNIST digits in a $10\\times10$ grid of images. \n",
|
|
" \n",
|
|
"**Notes**:\n",
|
|
"\n",
|
|
" * Images are returned from the provider as tuples of numpy arrays `(inputs, targets)`. The `inputs` matrix has shape `(batch_size, input_dim)` while the `targets` array is of shape `(batch_size,)`, where `batch_size` is the number of data points in a single batch and `input_dim` is dimensionality of the input features. \n",
|
|
" * Each input data-point (image) is stored as a 784 dimensional vector of pixel intensities normalised to $[0, 1]$ from inital integer values in $[0, 255]$. However, the original spatial domain is two dimensional, so before plotting you will need to reshape the one dimensional input arrays in to two dimensional arrays 2D (MNIST images have the same height and width dimensions)."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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u4cqVKxCJRJDL5dXuZpubm2PIkCEYOHCgtuzY2Fjs27cPABAcHFzj+otEoqcOCysqKnD8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\n",
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"text/plain": [
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"<matplotlib.figure.Figure at 0x7feb8ed8c7d0>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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Ko+mvVqsRFRUFmUyGgICAajnw/whJ3Lt3D4sWLcKJEydgbm6OadOmYfr06bC0tDSazpXc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\nAElFTkSuQmCC\n",
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"text/plain": [
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"<matplotlib.figure.Figure at 0x7feb8e5c7d10>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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SBD4+PgCAKVOmYMyYMQgMDARJpKam4vTp03jrrbdMvhYkodfrAaDel1OpVKKoqAhDhgyB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\nNCbK5XJVI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tCaNWu0LrfUaFe5e/cutW/fnthsNgUFBek0CFUul5NQKKTs7GxavHgx2dra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\nNsbTzMxMCgoKIjabTYcPH9ZYzotIJBJat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"text/plain": [
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"<matplotlib.figure.Figure at 0x7feb8ec45f90>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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ly5vc+9fU1HDw4MEUiUR3ObY5ODhw9erVrKuru6dhS05OZtu2bSkSiZpsiNasWUM7Ozs6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\n0dLuaB2RFi1a2p3/ByOaaWIs64ilAAAAAElFTkSuQmCC\n",
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"text/plain": [
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"<matplotlib.figure.Figure at 0x7feb8ebd7c10>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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y2Su/7zd2sbpu3br47rvvcObMGdy+fRs3btzQ/ta4cWO0bdsWrVq1QuvWrbF8+XLcv38f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7X97c2+fxl5eXlcuHAhq1WrRh8fH65fv56FhYXa/vw5W02aNHnmZrS0tKSlpSUtLCw0/zdkcT+V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\nAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7feb8cd53c10>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def show_batch_of_images(img_batch, fig_size=(3, 3)):\n",
|
|
" fig = plt.figure(figsize=fig_size)\n",
|
|
" batch_size, im_height, im_width = img_batch.shape\n",
|
|
" # calculate no. columns per grid row to give square grid\n",
|
|
" grid_size = int(batch_size**0.5)\n",
|
|
" # intialise empty array to tile image grid into\n",
|
|
" tiled = np.empty((im_height * grid_size, \n",
|
|
" im_width * batch_size // grid_size))\n",
|
|
" # iterate over images in batch + indexes within batch\n",
|
|
" for i, img in enumerate(img_batch):\n",
|
|
" # calculate grid row and column indices\n",
|
|
" r, c = i % grid_size, i // grid_size\n",
|
|
" tiled[r * im_height:(r + 1) * im_height, \n",
|
|
" c * im_height:(c + 1) * im_height] = img\n",
|
|
" ax = fig.add_subplot(111)\n",
|
|
" ax.imshow(tiled, cmap='Greys')\n",
|
|
" ax.axis('off')\n",
|
|
" fig.tight_layout()\n",
|
|
" plt.show()\n",
|
|
" return fig, ax\n",
|
|
"\n",
|
|
"batch_size = 100\n",
|
|
"num_batches = 5\n",
|
|
"\n",
|
|
"mnist_dp = data_providers.MNISTDataProvider(\n",
|
|
" which_set='valid', batch_size=batch_size, \n",
|
|
" max_num_batches=num_batches, shuffle_order=True)\n",
|
|
"\n",
|
|
"for inputs, target in mnist_dp:\n",
|
|
" # reshape inputs from batch of vectors to batch of 2D arrays (images)\n",
|
|
" _ = show_batch_of_images(inputs.reshape((batch_size, 28, 28)))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"nbpresent": {
|
|
"id": "d2d525de-5d5b-41d5-b2fb-a83874dba986"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Exercise 2\n",
|
|
"\n",
|
|
"`MNISTDataProvider` as `targets` currently returns a vector of integers, each element in this vector represents an the integer ID of the class the corresponding data-point represents. \n",
|
|
"\n",
|
|
"For training of neural networks a 1-of-K representation of multi-class targets is more useful. Instead of representing class identity by an integer ID, for each data point a vector of length equal to the number of classes is created, will all elements zero except for the element corresponding to the class ID. \n",
|
|
"\n",
|
|
"For instance, given a batch of 5 integer targets `[2, 2, 0, 1, 0]` and assuming there are 3 different classes \n",
|
|
"the corresponding 1-of-K encoded targets would be\n",
|
|
"```\n",
|
|
"[[0, 0, 1],\n",
|
|
" [0, 0, 1],\n",
|
|
" [1, 0, 0],\n",
|
|
" [0, 1, 0],\n",
|
|
" [1, 0, 0]]\n",
|
|
"```\n",
|
|
"\n",
|
|
" * Implement the `to_one_of_k` method of `MNISTDataProvider` class. \n",
|
|
" * Uncomment the overloaded `next` method, so the raw targets are converted to 1-of-K coding. \n",
|
|
" * Test your code by running the the cell below."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[[ 0. 0. 0. 1. 0. 0. 0. 0. 0. 0.]\n",
|
|
" [ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
|
|
" [ 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]\n",
|
|
" [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.]\n",
|
|
" [ 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]]\n",
|
|
"[[ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]\n",
|
|
" [ 0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]\n",
|
|
" [ 0. 0. 0. 1. 0. 0. 0. 0. 0. 0.]\n",
|
|
" [ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
|
|
" [ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]]\n",
|
|
"[[ 0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]\n",
|
|
" [ 0. 0. 1. 0. 0. 0. 0. 0. 0. 0.]\n",
|
|
" [ 0. 0. 0. 1. 0. 0. 0. 0. 0. 0.]\n",
|
|
" [ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
|
|
" [ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]]\n",
|
|
"[[ 0. 0. 0. 0. 0. 0. 0. 0. 1. 0.]\n",
|
|
" [ 0. 1. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
|
|
" [ 0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]\n",
|
|
" [ 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
|
|
" [ 0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]]\n",
|
|
"[[ 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.]\n",
|
|
" [ 0. 0. 0. 0. 0. 0. 0. 1. 0. 0.]\n",
|
|
" [ 0. 0. 0. 0. 1. 0. 0. 0. 0. 0.]\n",
|
|
" [ 0. 1. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
|
|
" [ 1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"mnist_dp = data_providers.MNISTDataProvider(\n",
|
|
" which_set='valid', batch_size=5, max_num_batches=5, shuffle_order=False)\n",
|
|
"\n",
|
|
"for inputs, targets in mnist_dp:\n",
|
|
" assert np.all(targets.sum(-1) == 1.)\n",
|
|
" assert np.all(targets >= 0.)\n",
|
|
" assert np.all(targets <= 1.)\n",
|
|
" print(targets)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"nbpresent": {
|
|
"id": "471093b7-4b94-4295-823a-5285c79d3119"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Exercise 3\n",
|
|
"\n",
|
|
"Here you will write your own data provider `MetOfficeDataProvider` that wraps [weather data for south Scotland](http://www.metoffice.gov.uk/hadobs/hadukp/data/daily/HadSSP_daily_qc.txt). A previous version of this data has been stored in `data` directory for your convenience and skeleton code for the class provided in `mlp/data_providers.py`.\n",
|
|
"\n",
|
|
"The data is organised in the text file as a table, with the first two columns indexing the year and month of the readings and the following 31 columns giving daily precipitation values for the corresponding month. As not all months have 31 days some of entries correspond to non-existing days. These values are indicated by a non-physical value of `-99.9`.\n",
|
|
"\n",
|
|
" * You should read all of the data from the file ([`np.loadtxt`](http://docs.scipy.org/doc/numpy/reference/generated/numpy.loadtxt.html) may be useful for this) and then filter out the `-99.9` values and collapse the table to a one-dimensional array corresponding to a sequence of daily measurements for the whole period data is available for. [NumPy's boolean indexing feature](http://docs.scipy.org/doc/numpy/user/basics.indexing.html#boolean-or-mask-index-arrays) could be helpful here.\n",
|
|
" * A common initial preprocessing step in machine learning tasks is to normalise data so that it has zero mean and a standard deviation of one. Normalise the data sequence so that its overall mean is zero and standard deviation one.\n",
|
|
" * Each data point in the data provider should correspond to a window of length specified in the `__init__` method as `window_size` of this contiguous data sequence, with the model inputs being the first `window_size - 1` elements of the window and the target output being the last element of the window. For example if the original data sequence was `[1, 2, 3, 4, 5, 6]` and `window_size=3` then `input, target` pairs iterated over by the data provider should be\n",
|
|
" ```\n",
|
|
" [1, 2], 3\n",
|
|
" [4, 5], 6\n",
|
|
" ```\n",
|
|
" * **Extension**: Have the data provider instead overlapping windows of the sequence so that more training data instances are produced. For example for the sequence `[1, 2, 3, 4, 5, 6]` the corresponding `input, target` pairs would be\n",
|
|
"\n",
|
|
"```\n",
|
|
"[1, 2], 3\n",
|
|
"[2, 3], 4\n",
|
|
"[3, 4], 5\n",
|
|
"[4, 5], 6\n",
|
|
"```\n",
|
|
" * Test your code by running the cell below."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {
|
|
"collapsed": false,
|
|
"nbpresent": {
|
|
"id": "c8553a56-9f25-4198-8a1a-d7e9572b4382"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
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0bKl+Z5HKIpn/1VcAzYFlwOfAocB8YF9gc+pCE6nAzMI2tgceCJ99BlOnhibd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\n",
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"text/plain": [
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"<matplotlib.figure.Figure at 0x7feb8ecb7d10>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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edlc2xnjDr4RFRBqJyL9FZIKITEx6BDvALCGxL/jBg7qrcwQ7eVL38KlXT6d4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\nswYzq29l0UlnKYyhQ+HWW+Huu8NPOYm1kh4lPHj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dB1zYWduyjfWMdVsC5cDbwHHAc8BP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\nERERKXoKWERERKToKWARERGRovf/fDAy7jfSFtEAAAAASUVORK5CYII=\n",
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"text/plain": [
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"<matplotlib.figure.Figure at 0x7feb8ec07510>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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OpGFDGDDA8zm5c0PjxjB7dmhjC4ArxcWA5QMY0HgAt1a41bF2oy4pMcZMAZKAl4HVQDWg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\nCQ6WTAAAAABJRU5ErkJggg==\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7feb8cc71b10>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"batch_size = 3\n",
|
|
"for window_size in [2, 5, 10]:\n",
|
|
" met_dp = data_providers.MetOfficeDataProvider(\n",
|
|
" window_size=window_size, batch_size=batch_size,\n",
|
|
" max_num_batches=1, shuffle_order=False)\n",
|
|
" fig = plt.figure(figsize=(6, 3))\n",
|
|
" ax = fig.add_subplot(111)\n",
|
|
" ax.set_title('Window size {0}'.format(window_size))\n",
|
|
" ax.set_xlabel('Day in window')\n",
|
|
" ax.set_ylabel('Normalised reading')\n",
|
|
" # iterate over data provider batches checking size and plotting\n",
|
|
" for inputs, targets in met_dp:\n",
|
|
" assert inputs.shape == (batch_size, window_size - 1)\n",
|
|
" assert targets.shape == (batch_size, )\n",
|
|
" ax.plot(np.c_[inputs, targets].T, '.-')\n",
|
|
" ax.plot([window_size - 1] * batch_size, targets, 'ko')"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"anaconda-cloud": {},
|
|
"kernelspec": {
|
|
"display_name": "Python [conda env:mlp]",
|
|
"language": "python",
|
|
"name": "conda-env-mlp-py"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 2
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython2",
|
|
"version": "2.7.12"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 0
|
|
}
|