{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "# CSE474/574 - Introduction to Machine Learning\n", "\n", " - Python Demonstrations\n", " - Instructor - Varun Chandola\n" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import time\n", "from sklearn.datasets.samples_generator import make_blobs\n", "from sklearn.preprocessing import StandardScaler\n", "from perceptronutils import *\n", "import plotly.graph_objects as go\n", "import plotly.express as px" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib.colors import ListedColormap\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "sns.set(color_codes=True)\n", "sns.set_style('whitegrid')\n", "sns.set_context('paper',font_scale=2)\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting linear functions\n", "$$\n", "{\\bf w}^\\top{\\bf x} + w_0\n", "$$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'x2')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "w = [4,2]\n", "w0 = 1\n", "x1min,x1max = [-10,10]\n", "x2min,x2max = [-10,10]\n", "x11,x12 = x1min,(-w0-w[0]*x1min)/w[1]\n", "x21,x22 = x1max,(-w0-w[0]*x1max)/w[1]\n", "x31,x32 = (-w0-w[1]*x2min)/w[0],x2min\n", "x41,x42 = (-w0-w[1]*x2max)/w[0],x2max\n", "\n", "plt.plot([x11,x21,x31,x41],[x12,x22,x32,x42])\n", "plt.xlim([-5,5])\n", "plt.ylim([-5,5])\n", "plt.xlabel('x1')\n", "plt.ylabel('x2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Why not use the 0-1 loss function\n", "\n", "Below is the implementation of the `0-1` loss function.\n", "\n", "$$\n", "J({\\bf w}) = \\sum_{i=1}^N \\mathbb{1}[y_i({\\bf w}^\\top{\\bf x}_i) < 0]\n", "$$\n", "\n", "```python\n", "def zerooneobjfunc(w,X,y):\n", " return np.sum(y*np.dot(X,w) < 0)\n", "```\n", "\n", "We will consider a 2-D data set. The decision boundary (or the line) will be represented using three parameters ($w_0, w_1, w_2$). We will evaluate the objective function for different combinations of the three parameters and then plot the objective function as a function of only the last two parameters (*Since we cannot plot a 4D plot*) " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def zerooneobjfunc(w,X,y):\n", " return np.sum(y*np.dot(X,w) < 0)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# consider a simple 2-D data set\n", "# prepare data\n", "# make_blobs is a function provided by sklearn to generate synthetic data\n", "X, y = make_blobs(n_samples=50, centers=2, n_features=2, random_state=0)\n", "X = StandardScaler().fit_transform(X)\n", "X_i = np.hstack([np.ones((X.shape[0],1)),X])\n", "y[y == 0] = -1\n", "y = y[:,np.newaxis]\n", "plt.scatter(X[:,0],X[:,1],c=y.flatten(),cmap='jet')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "w1s = w2s = np.linspace(-200,200,200)\n", "W1,W2 = np.meshgrid(w1s,w2s)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "losses = []\n", "w0 = 10\n", "for w1,w2 in zip(W1.flatten(),W2.flatten()):\n", " w = np.array([[w0],[w1],[w2]])\n", " #losses.append(computeLoss(X,y,w))\n", " losses.append(zerooneobjfunc(w,X_i,y))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "losses = np.array(losses)\n", "J = np.reshape(losses,W1.shape)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "colorscale": [ [ 0, "rgb(255,245,235)" ], [ 0.125, "rgb(254,230,206)" ], [ 0.25, "rgb(253,208,162)" ], [ 0.375, "rgb(253,174,107)" ], [ 0.5, "rgb(253,141,60)" ], [ 0.625, "rgb(241,105,19)" ], [ 0.75, "rgb(217,72,1)" ], [ 0.875, "rgb(166,54,3)" ], [ 1, "rgb(127,39,4)" ] ], "contours": { "x": { "show": true }, "y": { "show": true } }, "showscale": false, "type": "surface", "x": [ [ -200, -197.98994974874373, -195.97989949748745, -193.96984924623115, -191.95979899497488, -189.9497487437186, -187.9396984924623, -185.92964824120602, -183.91959798994975, -181.90954773869348, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cs = 'oranges'\n", "fig = go.Figure(data=[go.Surface(z=J, x=W1, y=W2,\n", " contours = {\"x\": {\"show\": True},\n", " \"y\": {\"show\": True}\n", " },\n", " showscale=False,\n", " colorscale=cs\n", " )])\n", "fig.update_layout(title='Loss function', autosize=False,\n", " width=500, height=700,\n", " margin=dict(l=65, r=50, b=65, t=90))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# an alternative no-plotly way of generating the 3d surface\n", "fig = plt.figure(figsize=(14,8))\n", "\n", "ax = fig.add_subplot(projection='3d')\n", "ax.plot_surface(W1, W2, J, rstride=1, cstride=1,\n", " cmap='autumn_r', edgecolor='none')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Loss Functions\n", "\n", "Here we study the different types of loss functions and how they are different from each other. In particular, the `0-1` loss function is the one that we aspire to be. However, as shown later, the objective function that uses the `0-1` loss function is *hard* to optimize over. \n", "\n", "In the example below, we are assuming that we have only one training example, whose label is `+1`. \n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "def zerooneloss(f,y):\n", " if f*y > 0:\n", " return 0\n", " else:\n", " return 1\n", " \n", "def squaredloss(f,y):\n", " return 0.5*np.power(f-y,2)\n", "\n", "def logisticloss(f,y):\n", " return np.log(1+np.exp(-f*y))\n", " #return np.exp(-f*y)\n", "\n", "def hingedloss(f,y):\n", " return max(0,1-f*y)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "wtx = np.linspace(-1,3,500)\n", "lossfuncs = {'0-1':zerooneloss,'squared':squaredloss,'logistic':logisticloss,'hinged':hingedloss}\n", "losses = {}\n", "for l,func in lossfuncs.items():\n", " loss = []\n", " for f in wtx:\n", " loss.append(func(f,1))\n", " losses[l] = loss\n", "df_loss = pd.DataFrame.from_dict(losses,orient='columns')\n", "df_loss['x'] = wtx" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "variable=0-1
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = px.line(df_loss, x='x', y=list(lossfuncs.keys()))\n", "fig.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The conclusion from above is that while `0-1` loss is the loss that we want to optimize over, its shape is not conducive for optimization methods. The other loss-functions approximate this step function with other functions that are easier to optimize over." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Perceptron Demo\n" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "def plotBoundary(X,y,w,ax):\n", " h = .02 # step size in the mesh\n", "\n", " X1_min, X1_max = X[:, 0].min() - .5, X[:, 0].max() + .5\n", " X2_min, X2_max = X[:, 1].min() - .5, X[:, 1].max() + .5\n", " X1_, X2_ = np.meshgrid(np.arange(X1_min, X1_max, h),np.arange(X2_min, X2_max, h))\n", " Xpred = np.c_[np.ones(len(X1_.ravel())),X1_.ravel(), X2_.ravel()]\n", " ypred = np.dot(Xpred,w)\n", " ypred_ = np.zeros(ypred.shape)\n", " ypred_[ypred >= 0] = 1\n", " ypred_[ypred < 0] = -1\n", " ypred = ypred_.reshape(X1_.shape)\n", " cm = plt.cm.RdBu\n", " cm_bright = ListedColormap(['#FF0000', '#0000FF'])\n", " ax.pcolormesh(X1_, X2_, ypred, cmap=cm_bright,alpha=.1)\n", " sp = ax.scatter(X[:, 0], X[:, 1], c=y.flatten(), cmap=cm_bright)\n", " \n", " ax.set_xlim(X1_.min(), X1_.max())\n", " ax.set_ylim(X2_.min(), X2_.max())\n", " ax.set_xticks(())\n", " ax.set_yticks(())" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# prepare data\n", "# make_blobs is a function provided by sklearn to generate synthetic data\n", "X, y = make_blobs(n_samples=20, centers=2, n_features=2, random_state=0)\n", "X = StandardScaler().fit_transform(X)\n", "y[y == 0] = -1\n", "y = y[:,np.newaxis]\n", "plt.scatter(X[:,0],X[:,1],c=y.flatten(),cmap='jet')" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "eta = 0.02\n", "# initialize w\n", "winit = np.array([1,1,1])\n", "winit = winit[:,np.newaxis]\n", "w = winit\n", "losses = []\n", "mistakes = []\n", "numiters = 20" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "After iteration 0\n", "[44.191805849197046]\n", "[13]\n", "[[20. ]\n", " [ 7.01238981]\n", " [30.29938462]]\n", "[[1]\n", " [1]\n", " [1]]\n", "After iteration 1\n", "[44.191805849197046, 21.731461613080167]\n", "[13, 12]\n", "[[12. ]\n", " [ 8.37664825]\n", " [19.14454002]]\n", "[[0.6 ]\n", " [0.8597522 ]\n", " [0.39401231]]\n", "After iteration 2\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373]\n", "[13, 12, 11]\n", "[[ 7.2 ]\n", " [ 7.66028968]\n", " [12.63935607]]\n", "[[0.36 ]\n", " [0.69221924]\n", " [0.01112151]]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/chandola/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:15: MatplotlibDeprecationWarning:\n", "\n", "shading='flat' when X and Y have the same dimensions as C is deprecated since 3.3. Either specify the corners of the quadrilaterals with X and Y, or pass shading='auto', 'nearest' or 'gouraud', or set rcParams['pcolor.shading']. This will become an error two minor releases later.\n", "\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "After iteration 3\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645]\n", "[13, 12, 11, 5]\n", "[[4.32 ]\n", " [6.33535715]\n", " [8.63767432]]\n", "[[ 0.216 ]\n", " [ 0.53901345]\n", " [-0.24166561]]\n", "After iteration 4\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593]\n", "[13, 12, 11, 5, 3]\n", "[[2.592 ]\n", " [4.9897637 ]\n", " [6.05435371]]\n", "[[ 0.1296 ]\n", " [ 0.4123063]\n", " [-0.4144191]]\n", "After iteration 5\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365]\n", "[13, 12, 11, 5, 3, 2]\n", "[[1.5552 ]\n", " [3.8269411 ]\n", " [4.31920685]]\n", "[[ 0.07776 ]\n", " [ 0.31251103]\n", " [-0.53550617]]\n", "After iteration 6\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365, 3.330777561898212]\n", "[13, 12, 11, 5, 3, 2, 2]\n", "[[0.93312 ]\n", " [2.89049023]\n", " [3.11811361]]\n", "[[ 0.046656 ]\n", " [ 0.23597221]\n", " [-0.62189031]]\n", "After iteration 7\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365, 3.330777561898212, 3.002801544037357]\n", "[13, 12, 11, 5, 3, 2, 2, 1]\n", "[[0.559872 ]\n", " [2.16334853]\n", " [2.26860144]]\n", "[[ 0.0279936 ]\n", " [ 0.1781624 ]\n", " [-0.68425258]]\n", "After iteration 8\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365, 3.330777561898212, 3.002801544037357, 2.827053907769333]\n", "[13, 12, 11, 5, 3, 2, 2, 1, 1]\n", "[[0.3359232 ]\n", " [1.6101701 ]\n", " [1.65883898]]\n", "[[ 0.01679616]\n", " [ 0.13489543]\n", " [-0.72962461]]\n", "After iteration 9\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365, 3.330777561898212, 3.002801544037357, 2.827053907769333, 2.7323874239582304]\n", "[13, 12, 11, 5, 3, 2, 2, 1, 1, 1]\n", "[[0.20155392]\n", " [1.19435935]\n", " [1.21686381]]\n", "[[ 0.0100777 ]\n", " [ 0.10269203]\n", " [-0.76280139]]\n", "After iteration 10\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365, 3.330777561898212, 3.002801544037357, 2.827053907769333, 2.7323874239582304, 2.6812217120510984]\n", "[13, 12, 11, 5, 3, 2, 2, 1, 1, 1, 1]\n", "[[0.12093235]\n", " [0.88405683]\n", " [0.89446288]]\n", "[[ 0.00604662]\n", " [ 0.07880484]\n", " [-0.78713867]]\n", "After iteration 11\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365, 3.330777561898212, 3.002801544037357, 2.827053907769333, 2.7323874239582304, 2.6812217120510984, 2.653505622169457]\n", "[13, 12, 11, 5, 3, 2, 2, 1, 1, 1, 1, 1]\n", "[[0.07255941]\n", " [0.65351275]\n", " [0.6583245 ]]\n", "[[ 0.00362797]\n", " [ 0.06112371]\n", " [-0.80502793]]\n", "After iteration 12\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365, 3.330777561898212, 3.002801544037357, 2.827053907769333, 2.7323874239582304, 2.6812217120510984, 2.653505622169457, 2.638469882765738]\n", "[13, 12, 11, 5, 3, 2, 2, 1, 1, 1, 1, 1, 1]\n", "[[0.04353565]\n", " [0.48269352]\n", " [0.48491847]]\n", "[[ 0.00217678]\n", " [ 0.04805345]\n", " [-0.81819442]]\n", "After iteration 13\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365, 3.330777561898212, 3.002801544037357, 2.827053907769333, 2.7323874239582304, 2.6812217120510984, 2.653505622169457, 2.638469882765738, 2.6303051785588023]\n", "[13, 12, 11, 5, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1]\n", "[[0.02612139]\n", " [0.3563412 ]\n", " [0.35737001]]\n", "[[ 0.00130607]\n", " [ 0.03839958]\n", " [-0.82789279]]\n", "After iteration 14\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365, 3.330777561898212, 3.002801544037357, 2.827053907769333, 2.7323874239582304, 2.6812217120510984, 2.653505622169457, 2.638469882765738, 2.6303051785588023, 2.6258687264980822]\n", "[13, 12, 11, 5, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1]\n", "[[0.01567283]\n", " [0.26297906]\n", " [0.26345478]]\n", "[[ 7.83641641e-04]\n", " [ 3.12727559e-02]\n", " [-8.35040186e-01]]\n", "After iteration 15\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365, 3.330777561898212, 3.002801544037357, 2.827053907769333, 2.7323874239582304, 2.6812217120510984, 2.653505622169457, 2.638469882765738, 2.6303051785588023, 2.6258687264980822, 2.6234570658846366]\n", "[13, 12, 11, 5, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", "[[0.0094037 ]\n", " [0.19403898]\n", " [0.19425895]]\n", "[[ 4.70184985e-04]\n", " [ 2.60131748e-02]\n", " [-8.40309281e-01]]\n", "After iteration 16\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365, 3.330777561898212, 3.002801544037357, 2.827053907769333, 2.7323874239582304, 2.6812217120510984, 2.653505622169457, 2.638469882765738, 2.6303051785588023, 2.6258687264980822, 2.6234570658846366, 2.6221457145434703]\n", "[13, 12, 11, 5, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", "[[0.00564222]\n", " [0.14315354]\n", " [0.14325526]]\n", "[[ 2.82110991e-04]\n", " [ 2.21323952e-02]\n", " [-8.44194460e-01]]\n", "After iteration 17\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365, 3.330777561898212, 3.002801544037357, 2.827053907769333, 2.7323874239582304, 2.6812217120510984, 2.653505622169457, 2.638469882765738, 2.6303051785588023, 2.6258687264980822, 2.6234570658846366, 2.6221457145434703, 2.621432528231017]\n", "[13, 12, 11, 5, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", "[[0.00338533]\n", " [0.10560414]\n", " [0.10565117]]\n", "[[ 1.69266594e-04]\n", " [ 1.92693244e-02]\n", " [-8.47059566e-01]]\n", "After iteration 18\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365, 3.330777561898212, 3.002801544037357, 2.827053907769333, 2.7323874239582304, 2.6812217120510984, 2.653505622169457, 2.638469882765738, 2.6303051785588023, 2.6258687264980822, 2.6234570658846366, 2.6221457145434703, 2.621432528231017, 2.6210446096491333]\n", "[13, 12, 11, 5, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", "[[0.0020312 ]\n", " [0.07790015]\n", " [0.0779219 ]]\n", "[[ 1.01559957e-04]\n", " [ 1.71572417e-02]\n", " [-8.49172589e-01]]\n", "After iteration 19\n", "[44.191805849197046, 21.731461613080167, 11.999223026605373, 7.4083963034860645, 5.123261518332593, 3.9477813093369365, 3.330777561898212, 3.002801544037357, 2.827053907769333, 2.7323874239582304, 2.6812217120510984, 2.653505622169457, 2.638469882765738, 2.6303051785588023, 2.6258687264980822, 2.6234570658846366, 2.6221457145434703, 2.621432528231017, 2.6210446096491333, 2.620833594481525]\n", "[13, 12, 11, 5, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", "[[0.00121872]\n", " [0.05746219]\n", " [0.05747225]]\n", "[[ 6.09359740e-05]\n", " [ 1.55992387e-02]\n", " [-8.50731027e-01]]\n" ] }, { "data": { "image/png": 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\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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\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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\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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\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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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for iter in range(numiters):\n", " print(\"After iteration %d\"%iter)\n", " # compute loss\n", " losses.append(computeLoss(X,y,w))\n", " # compute number of mistakes\n", " mistakes.append(computeMistakes(X,y,w))\n", " # compute gradient\n", " grad = computeGradient(X,y,w)\n", " print(losses)\n", " print(mistakes)\n", " print(grad)\n", " print(w)\n", " fig = plt.figure(figsize=(12, 12))\n", " ax = fig.add_subplot(numiters,3,3*iter+1)\n", " # plot current boundary\n", " plotBoundary(X,y,w,ax)\n", " ax.set_title('Iteration %d'%iter)\n", " # plot losses\n", " ax = fig.add_subplot(numiters,3,3*iter+2)\n", " ax.plot(range(len(losses)),losses,'-+')\n", " ax.set_xlim([0,numiters])\n", " ax.set_title('Loss %.2f'%losses[iter])\n", " # plot mistakes\n", " ax = fig.add_subplot(numiters,3,3*iter+3)\n", " ax.plot(range(len(mistakes)),mistakes,'-o')\n", " ax.set_xlim([0,numiters])\n", " ax.set_title('Mistakes %d'%mistakes[iter])\n", " # update weight\n", " w = w - eta*grad\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.10" } }, "nbformat": 4, "nbformat_minor": 2 }