{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Pre-Class Assignment: Further exploration of SVMs\n", "# Day 21\n", "# CMSE 202\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##

✅ Put your name here

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Goals for today's pre-class assignment\n", "\n", "\n", "1. Observing non-linear separability (`sklearn.datasets.make_circles`)\n", "1. Graphing data in 3D\n", "1. Explaining how a RBF kernel works like a nearest neighbors model\n", "\n", "\n", "\n", "\n", "## Assignment instructions\n", "\n", "**This assignment is due by 11:59 p.m. the day before class** and should be uploaded into the appropriate \"Pre-class assignments\" submission folder in the Desire2Learn website. \n", "\n", "### Imports:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# imports for the day\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn import svm\n", "from sklearn.datasets import make_circles\n", "from mpl_toolkits.mplot3d import Axes3D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## 1. Nonlinear data\n", "\n", "Working with linearly separable data certainly makes life easy, but that is simply not the case many times when we're working with data. Review data in the figure at the beginning of the assignment. Clearly the data in that plot are not linearly separable. It turns out, we can find a way to make it linearly separable and we will explore this during class.\n", "\n", "### 1.1 `sklearn.datasets.make_circles` data generators\n", "\n", "Sticking with the scikit-learn datasets page and in particuar Section 7.3, we see `make_circles` which allows us to make data similar to that seen in the figure above." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the [documentation](https://scikit-learn.org/stable/modules/generated/sklearn.datasets.make_circles.html), create an example data set with two \"circles\", a 2-class data set. It should:\n", "- have 100 samples\n", "- two classes\n", "- set the `random_state` value so that you can generate the same \"circles\" every time." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# put your answer here\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## 2. Graph the circles\n", "\n", "Did it work? As always, it's hard to tell if we ended up with what we wanted without visualizing it.\n", "\n", "✅ **Do This:** Graph the result of the `make_circles` operation. Color all the elements of one class one color and the elements of the other class the other color. \n", "\n", "As a reminder:\n", "- you can create a list/array with color assignments for each data element based on their class. Your colors can be strings like `'red'`, integer numbers (that will map to whatever matplotlib `cmap` you use), or hex code values -- it's up to you.\n", "- try playing with the `random_state` value and see if you can get some \"blobs\" that are relatively \"close\" to each other. It should be the case that if you use the same `random_state` value each time that you get the same distribution of data. Remember, \"random\" means \"relatively random\" here. That is, predicting the next value in a sequence should be (statistically speaking) random. However, start with the same seed value (which is what `random_state` is for this process) you get the exact same sequence." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# put your answer here\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## 3. Adding a dimension to linearly separate the data\n", "\n", "It's hard to see how we could separate these two classes given their overlap/shape, and that is likely true in the 2D format we are looking at currently. But what if we added a 3rd dimension based on the features of the data that we have? That is, can we use the existing X and Y values to make a new dimension that would that help to linearly separate the data?\n", "\n", "*As you saw in [this video](https://www.youtube.com/watch?v=efR1C6CvhmE) from the previous pre-class assignment, creating these new dimensions from the data is part of what an SVM does. For this assignment, we will try to do this manually.*\n", "\n", "First, let remind ourselves of 3D plots." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.1 Making a 3D scatter plot\n", "\n", "To setup a 3D scatter plot, you need the following steps (found in this tutorial; you can see the code if you click on the plot). We can generate some random values and try it out." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.92, 'simple 3D scatter plot')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.random.randint(-5, 5, 100)\n", "y = np.random.randint(-5, 5, 100)\n", "z = np.random.randint(-5, 5, 100)\n", "from mpl_toolkits.mplot3d import Axes3D\n", "fig = plt.figure(figsize = (10, 7))\n", "ax = plt.axes(projection =\"3d\")\n", " \n", "# Creating plot\n", "ax.scatter3D(x, y, z, color = \"blue\")\n", "plt.title(\"simple 3D scatter plot\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "✅ **Do This:** Plot your circle data in 3D. Because we don't have a third/$z$ dimension you can just pass a fixed value for $z$. In fact, you can just use a single number. As before, mark the two classes in two different colors." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# put your answer here\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.2 Trying to make the data linearly separable\n", "\n", "Let's try to separate these circles of data using the existing values to compute $z$-values that would make it possible to separate the.\n", "\n", "✅ **Do This:** Try to add a third dimension to the data, by calculated $z$-values based on the existing values. This is called a \"transformation\" of the data.\n", "\n", "What might be a procedure to do that? You might have to think about this for a moment or perhaps poke around a bit on the internet. Do your best to come up with something that you think should work. \n", "\n", "Make a 3D plot of your transformed data." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# put your code here\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "✅ **Question:** What transformation did you use to separate the data in the third, $z$ dimension? Do you feel you were successful in separating the data?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Do this - Erase this and put your answer here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## 4. Alternative Kernels for SVM\n", "\n", "The linear kernel is one of a number of possible kernels that an SVM can use. One common choice for dealing with nonlinear data is the Radial Basis Function (RBF) Kernel. The video from the previous class assignment has a bit of information about this kernel.\n", "\n", "✅ **Do This:** Review this section of the video for a conceptual description how the RBF works like a nearest neighbors model. Deeper, more technial details on the RBF are readily available online, but extend a bit beyond the scope of this course at the present time. Feel free to dig into them if you wish!" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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", "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import YouTubeVideo\n", "from datetime import timedelta\n", "start=int(timedelta(hours=0, minutes=17, seconds=29).total_seconds())\n", "YouTubeVideo(\"efR1C6CvhmE\",width=800,height=450,start=start)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "✅ **Question:** How does a the RBF work like a nearest-neighbors model?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Do this - Erase this and put your answer here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## Follow-up Questions\n", "\n", "Copy and paste the following questions into the appropriate box in the assignment survey include below and answer them there. (Note: You'll have to fill out the assignment number and go to the \"NEXT\" section of the survey to paste in these questions.)\n", "\n", "1. When we can't easily linearly separate classes in our data in its default form, what can we do with the data in order to find a linear decision boundary that *can* separate the data?\n", "\n", "2. How does the RBF act similarly to the nearest-neighbor algorithm?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "# Assignment wrap-up\n", "\n", "Please fill out the form that appears when you run the code below. **You must completely fill this out in order to receive credit for the assignment!**" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from IPython.display import HTML\n", "HTML(\n", "\"\"\"\n", "\n", "\"\"\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---------\n", "### Congratulations, you're done with your pre-class assignment!\n", "\n", "Now, you just need to submit this assignment by uploading it to the course Desire2Learn web page for today's submission folder (Don't forget to add your name in the first cell)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "© Copyright 2023 Department of Computational Mathematics, Science and Engineering at Michigan State University" ] } ], "metadata": { "anaconda-cloud": {}, "interpreter": { "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" }, "kernelspec": { "display_name": "Python [conda env:base] *", "language": "python", "name": "conda-base-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.2" } }, "nbformat": 4, "nbformat_minor": 4 }