{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "*** Perceptron Demo ***\n", "\n", "Build your own perceptron for the small housing dataset. Show that SLO houses and Paso Robles houses can be distinguished based on their sizes and prices." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from bs4 import BeautifulSoup\n", "import urllib.request\n", "\n", "from pandas import DataFrame\n", "from pandas import read_csv\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn\n", "from functools import reduce\n", "\n", "import numpy as np\n", "\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.svm import *\n", "\n", "%matplotlib inline " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "### this function removes extra whitespace from the data that was read from the CSV files\n", "### kept here to make your life a bit easier\n", "\n", "def cleanLabels(frame) :\n", " nf = pd.DataFrame(frame)\n", " vals = nf.values\n", " vals[:,-1] = [x.strip() for x in vals[:,-1]]\n", " corrected = pd.DataFrame(vals, columns = frame.columns)\n", " return corrected" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "## This functions helps build column of +1, -1 class labels for the City column\n", "\n", "def getCityLabel(city):\n", " if city == 'Paso Robles':\n", " return -1\n", " else:\n", " if city == 'San Luis Obispo':\n", " return 1\n", " else: \n", " return 0\n", " \n", " " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "### plotW() takes as input the set of SLO data points, the set of Paso Robles data points, and the vector w representing the\n", "### current separating plane. It draws the two sets of the data points and the separating plane.\n", "\n", "def plotW(slo,paso, w):\n", " \n", " plt.figure(figsize=(10,8))\n", "\n", " plt.plot(slo['Footage'], simpleSlo['Price'], 'ro')\n", " plt.plot(paso['Footage'], simplePaso['Price'], 'bs')\n", " \n", " points = list(slo['Footage'])\n", " points.extend(list(paso['Footage']))\n", " points = np.array(sorted(points))\n", " \n", " plt.plot(points, -1*points*w[0]/w[1] - w[2]/w[1])\n", "\n", " plt.show()\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "### This function takes as input the dataset of points, the current values w of the separating plane normal (w.x = 0),\n", "### and the learning rate (Rate), and produces one round of perceptron training. \n", "\n", "### One round means the function trains the perceptron on each data point from the dataset exactly once\n", "### You can use either the full gradient descent approach or the stochastic gradient descent approach\n", "### A version of stochastic approach (adjust w after visting each data point in turn) is recommended\n", "\n", "def trainPerceptron(data, w, Rate):\n", " \n", " \n", "\n", "\n", " return w\n", "\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "### Given the data frame and the current separating plane normal vector w (w.x = 0) (i.e., the current perceptron)\n", "### this function should apply the perceptron to each data point in the data set,\n", "### determine if the prediction is correct, and output all predictions and the overall accuracy\n", "\n", "def getPerceptronAccuracy(data, w):\n", " \n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [ { "ename": "NameError", "evalue": "name 'pd' is not defined", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[0;32m 3\u001b[0m \u001b[0mmasterFileName\u001b[0m\u001b[1;33m=\u001b[0m \u001b[1;34m'HousingSmallSet.csv'\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 4\u001b[0m \u001b[0mmasterFile\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mopen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmasterFileName\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m\"r\"\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 5\u001b[1;33m \u001b[0mdt\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mpd\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mread_csv\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmasterFile\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 6\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 7\u001b[0m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"Records:\"\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mlen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mdt\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mNameError\u001b[0m: name 'pd' is not defined" ] } ], "source": [ "### Step 1: retrieve the data\n", "\n", "masterFileName= 'HousingSmallSet.csv'\n", "masterFile = open(masterFileName, \"r\")\n", "dt = pd.read_csv(masterFile)\n", "\n", "print(\"Records:\", len(dt))\n", " \n", "dt.columns = [s.strip() for s in dt.columns]\n", "\n", "cleaned = cleanLabels(dt)\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [ { "ename": "NameError", "evalue": "name 'cleaned' is not defined", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[0;32m 3\u001b[0m \u001b[1;31m### We plot the entire dataset\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 4\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 5\u001b[1;33m \u001b[0mslo\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mcleaned\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mquery\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"City =='San Luis Obispo'\"\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 6\u001b[0m \u001b[0mpaso\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mcleaned\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mquery\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"City =='Paso Robles'\"\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 7\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mNameError\u001b[0m: name 'cleaned' is not defined" ] } ], "source": [ "### Step 2: for the sake of clarity and ease of display, we extract SLO and Paso Robles houses into separate data frames\n", "### This is purely for visualization purposes\n", "### We plot the entire dataset\n", "\n", "slo = cleaned.query(\"City =='San Luis Obispo'\")\n", "paso = cleaned.query(\"City =='Paso Robles'\")\n", "\n", "plt.figure(figsize=(20,15))\n", "\n", "#plt.xkcd()\n", "plt.plot(slo['Footage'], slo['Price'], 'ro')\n", "plt.plot(paso['Footage'], paso['Price'], 'bs')\n", "\n", "plt.xlim(1700, 2600 )\n", "plt.ylim(0,1500000)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the dataset above is not linearly separable: there are a few data points that prevent linear separability.\n", "\n", "To make this first example simpler, let us remove the points responible for this from the dataset." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [ { "ename": "NameError", "evalue": "name 'slo' is not defined", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[1;31m### Let's make a slightly simpler perceptron problem\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[0msimpleSlo\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mslo\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mquery\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'Price > 630000'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 4\u001b[0m \u001b[0msimplePaso\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mpaso\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mquery\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'Price < 630000'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 5\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mNameError\u001b[0m: name 'slo' is not defined" ] } ], "source": [ "### Let's make a slightly simpler perceptron problem\n", "\n", "simpleSlo = slo.query('Price > 630000')\n", "simplePaso = paso.query('Price < 630000')\n", "\n", "simpleData = pd.concat([simpleSlo, simplePaso], ignore_index = True)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The dataset as provided in the CSV file uses strings as category labels (\"SLO\", \"Paso Robles\"), while perceptron training requires +1, -1 labels.\n", "\n", "Additionally, we want to train a perceptron with a non-zero intercepts (potentially), so we need to add a new column to represent it.\n", "\n", "Finally, the data is currently listed in the SLO houses first - Paso houses second order. This is not a very good order of data points to train perceptron. What we want is a more natural mix of points where SLO and Paso Robles data points are interleaved.\n", "You can come up with your own inteleaving strategy, but make sure that to actually physically change the order of points in the final data frame you will be using. " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "### NOTE: for simplicity, feel free to split this data frame into three-four separate data frames, one per task.\n", "### I am using one data frame here because the amount of code is not significant\n", "\n", "\n", "### Add +1/-1 class label to the dataset\n", "\n", "\n", "### Add the Theta column to the dataset\n", "\n", "\n", "### Change the order of the data points in your data frame.\n", "\n", "\n", "### output the final state of the data frame you will be using\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### Let's draw the dataset\n", "\n", "### Note: I use simpleSlo and simplePaso data frames here, so we see the linearly separable case\n", "\n", "plt.figure(figsize=(20,15))\n", "\n", "#plt.xkcd()\n", "plt.plot(simpleSlo['Footage'], simpleSlo['Price'], 'ro')\n", "plt.plot(simplePaso['Footage'], simplePaso['Price'], 'bs')\n", "\n", "plt.xlim(1900, 2600 )\n", "plt.ylim(0,1400000)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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JtZfKYCdJkmrv2PmrJtVeKoOdJM0SF3ZLM+fwp+8cu/22O2b5SOaWF09I0ixwYbc0s4Y2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\nfSb43Xkt8Pcz85eqx9avy4z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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### Use this cell to test the work of plotW() function if you want it.\n", "\n", "w = [1,1,1]\n", "\n", "plotW(simpleSlo, simplePaso, w)\n" ] }, { "cell_type": "code", "execution_count": 221, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Predicted: -1.0 Actual: -1 Raw: -2016.0\n", "Predicted: -1.0 Actual: 1 Raw: -2018.0\n", "Predicted: -1.0 Actual: -1 Raw: -1631.07092767\n", "Predicted: -1.0 Actual: -1 Raw: -1625.57090548\n", "Predicted: -1.0 Actual: 1 Raw: -1475.57087521\n", "Predicted: -1.0 Actual: -1 Raw: -1324.64561197\n", "Predicted: -1.0 Actual: 1 Raw: -957.145567286\n", "Predicted: -1.0 Actual: 1 Raw: -471.080165439\n", "Predicted: 1.0 Actual: 1 Raw: 456.825371423\n", "Predicted: -1.0 Actual: -1 Raw: -495.242595661\n", "Predicted: -1.0 Actual: -1 Raw: -426.519507646\n", "Predicted: 1.0 Actual: 1 Raw: 397.685980369\n", "Predicted: -1.0 Actual: -1 Raw: -788.281896196\n", "Predicted: -1.0 Actual: 1 Raw: -103.833805677\n", "Predicted: 1.0 Actual: 1 Raw: 1076.51815593\n", "Predicted: -1.0 Actual: -1 Raw: -109.401760555\n", "Predicted: -1.0 Actual: -1 Raw: -121.769735275\n", "Predicted: 1.0 Actual: 1 Raw: 476.282427365\n", "Predicted: 1.0 Actual: 1 Raw: 1190.48265705\n", "Predicted: -1.0 Actual: -1 Raw: -11.124161075\n", "Predicted: -1.0 Actual: -1 Raw: -294.199087995\n", "Predicted: -1.0 Actual: -1 Raw: -521.690914915\n", "Predicted: 1.0 Actual: 1 Raw: 512.523586205\n", "Predicted: -1.0 Actual: -1 Raw: -394.235131915\n", "Predicted: 1.0 Actual: 1 Raw: 2303.29995161\n", "Predicted: 1.0 Actual: 1 Raw: 657.573993365\n", "Predicted: -1.0 Actual: -1 Raw: -765.487626395\n", "Predicted: -1.0 Actual: -1 Raw: -469.645563755\n", "Predicted: 1.0 Actual: 1 Raw: 1033.29468241\n", "Predicted: -1.0 Actual: -1 Raw: -380.209317595\n", "Predicted: -1.0 Actual: -1 Raw: -768.714296715\n", "Predicted: -1.0 Actual: -1 Raw: -551.449067035\n", "=== Loop 0 ===\n", "Weights: [ -9.99989560e-01 3.68100000e-03 -5.00000000e-09]\n", "Accuracy: 100.0\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Predicted: -1.0 Actual: -1 Raw: -13.514952955\n", "Predicted: 1.0 Actual: 1 Raw: 1018.84606793\n", "Predicted: -1.0 Actual: -1 Raw: -291.589932075\n", "Predicted: -1.0 Actual: -1 Raw: -228.969817235\n", "Predicted: 1.0 Actual: 1 Raw: 492.230339365\n", "Predicted: -1.0 Actual: -1 Raw: -264.969441395\n", "Predicted: 1.0 Actual: 1 Raw: 644.280673445\n", "Predicted: 1.0 Actual: 1 Raw: 555.660830045\n", "Predicted: 1.0 Actual: 1 Raw: 1069.40603885\n", "Predicted: -1.0 Actual: -1 Raw: -108.832919395\n", "Predicted: -1.0 Actual: -1 Raw: -15.365653995\n", "Predicted: 1.0 Actual: 1 Raw: 1013.81181141\n", "Predicted: -1.0 Actual: -1 Raw: -451.502031995\n", "Predicted: 1.0 Actual: 1 Raw: 398.852082845\n", "Predicted: 1.0 Actual: 1 Raw: 1076.51815593\n", "Predicted: -1.0 Actual: -1 Raw: -109.401760555\n", "Predicted: -1.0 Actual: -1 Raw: -121.769735275\n", "Predicted: 1.0 Actual: 1 Raw: 476.282427365\n", "Predicted: 1.0 Actual: 1 Raw: 1190.48265705\n", "Predicted: -1.0 Actual: -1 Raw: -11.124161075\n", "Predicted: -1.0 Actual: -1 Raw: -294.199087995\n", "Predicted: -1.0 Actual: -1 Raw: -521.690914915\n", "Predicted: 1.0 Actual: 1 Raw: 512.523586205\n", "Predicted: -1.0 Actual: -1 Raw: -394.235131915\n", "Predicted: 1.0 Actual: 1 Raw: 2303.29995161\n", "Predicted: 1.0 Actual: 1 Raw: 657.573993365\n", "Predicted: -1.0 Actual: -1 Raw: -765.487626395\n", "Predicted: -1.0 Actual: -1 Raw: -469.645563755\n", "Predicted: 1.0 Actual: 1 Raw: 1033.29468241\n", "Predicted: -1.0 Actual: -1 Raw: -380.209317595\n", "Predicted: -1.0 Actual: -1 Raw: -768.714296715\n", "Predicted: -1.0 Actual: -1 Raw: -551.449067035\n", "=== Loop 1 ===\n", "Weights: [ -9.99989560e-01 3.68100000e-03 -5.00000000e-09]\n", "Accuracy: 100.0\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Predicted: -1.0 Actual: -1 Raw: -13.514952955\n", "Predicted: 1.0 Actual: 1 Raw: 1018.84606793\n", "Predicted: -1.0 Actual: -1 Raw: -291.589932075\n", "Predicted: -1.0 Actual: -1 Raw: -228.969817235\n", "Predicted: 1.0 Actual: 1 Raw: 492.230339365\n", "Predicted: -1.0 Actual: -1 Raw: -264.969441395\n", "Predicted: 1.0 Actual: 1 Raw: 644.280673445\n", "Predicted: 1.0 Actual: 1 Raw: 555.660830045\n", "Predicted: 1.0 Actual: 1 Raw: 1069.40603885\n", "Predicted: -1.0 Actual: -1 Raw: -108.832919395\n", "Predicted: -1.0 Actual: -1 Raw: -15.365653995\n", "Predicted: 1.0 Actual: 1 Raw: 1013.81181141\n", "Predicted: -1.0 Actual: -1 Raw: -451.502031995\n", "Predicted: 1.0 Actual: 1 Raw: 398.852082845\n", "Predicted: 1.0 Actual: 1 Raw: 1076.51815593\n", "Predicted: -1.0 Actual: -1 Raw: -109.401760555\n", "Predicted: -1.0 Actual: -1 Raw: -121.769735275\n", "Predicted: 1.0 Actual: 1 Raw: 476.282427365\n", "Predicted: 1.0 Actual: 1 Raw: 1190.48265705\n", "Predicted: -1.0 Actual: -1 Raw: -11.124161075\n", "Predicted: -1.0 Actual: -1 Raw: -294.199087995\n", "Predicted: -1.0 Actual: -1 Raw: -521.690914915\n", "Predicted: 1.0 Actual: 1 Raw: 512.523586205\n", "Predicted: -1.0 Actual: -1 Raw: -394.235131915\n", "Predicted: 1.0 Actual: 1 Raw: 2303.29995161\n", "Predicted: 1.0 Actual: 1 Raw: 657.573993365\n", "Predicted: -1.0 Actual: -1 Raw: -765.487626395\n", "Predicted: -1.0 Actual: -1 Raw: -469.645563755\n", "Predicted: 1.0 Actual: 1 Raw: 1033.29468241\n", "Predicted: -1.0 Actual: -1 Raw: -380.209317595\n", "Predicted: -1.0 Actual: -1 Raw: -768.714296715\n", "Predicted: -1.0 Actual: -1 Raw: -551.449067035\n", "=== Loop 2 ===\n", "Weights: [ -9.99989560e-01 3.68100000e-03 -5.00000000e-09]\n", "Accuracy: 100.0\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Predicted: -1.0 Actual: -1 Raw: -13.514952955\n", "Predicted: 1.0 Actual: 1 Raw: 1018.84606793\n", "Predicted: -1.0 Actual: -1 Raw: -291.589932075\n", "Predicted: -1.0 Actual: -1 Raw: -228.969817235\n", "Predicted: 1.0 Actual: 1 Raw: 492.230339365\n", "Predicted: -1.0 Actual: -1 Raw: -264.969441395\n", "Predicted: 1.0 Actual: 1 Raw: 644.280673445\n", "Predicted: 1.0 Actual: 1 Raw: 555.660830045\n", "Predicted: 1.0 Actual: 1 Raw: 1069.40603885\n", "Predicted: -1.0 Actual: -1 Raw: -108.832919395\n", "Predicted: -1.0 Actual: -1 Raw: -15.365653995\n", "Predicted: 1.0 Actual: 1 Raw: 1013.81181141\n", "Predicted: -1.0 Actual: -1 Raw: -451.502031995\n", "Predicted: 1.0 Actual: 1 Raw: 398.852082845\n", "Predicted: 1.0 Actual: 1 Raw: 1076.51815593\n", "Predicted: -1.0 Actual: -1 Raw: -109.401760555\n", "Predicted: -1.0 Actual: -1 Raw: -121.769735275\n", "Predicted: 1.0 Actual: 1 Raw: 476.282427365\n", "Predicted: 1.0 Actual: 1 Raw: 1190.48265705\n", "Predicted: -1.0 Actual: -1 Raw: -11.124161075\n", "Predicted: -1.0 Actual: -1 Raw: -294.199087995\n", "Predicted: -1.0 Actual: -1 Raw: -521.690914915\n", "Predicted: 1.0 Actual: 1 Raw: 512.523586205\n", "Predicted: -1.0 Actual: -1 Raw: -394.235131915\n", "Predicted: 1.0 Actual: 1 Raw: 2303.29995161\n", "Predicted: 1.0 Actual: 1 Raw: 657.573993365\n", "Predicted: -1.0 Actual: -1 Raw: -765.487626395\n", "Predicted: -1.0 Actual: -1 Raw: -469.645563755\n", "Predicted: 1.0 Actual: 1 Raw: 1033.29468241\n", "Predicted: -1.0 Actual: -1 Raw: -380.209317595\n", "Predicted: -1.0 Actual: -1 Raw: -768.714296715\n", "Predicted: -1.0 Actual: -1 Raw: -551.449067035\n", "=== Loop 3 ===\n", "Weights: [ -9.99989560e-01 3.68100000e-03 -5.00000000e-09]\n", "Accuracy: 100.0\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Predicted: -1.0 Actual: -1 Raw: -13.514952955\n", "Predicted: 1.0 Actual: 1 Raw: 1018.84606793\n", "Predicted: -1.0 Actual: -1 Raw: -291.589932075\n", "Predicted: -1.0 Actual: -1 Raw: -228.969817235\n", "Predicted: 1.0 Actual: 1 Raw: 492.230339365\n", "Predicted: -1.0 Actual: -1 Raw: -264.969441395\n", "Predicted: 1.0 Actual: 1 Raw: 644.280673445\n", "Predicted: 1.0 Actual: 1 Raw: 555.660830045\n", "Predicted: 1.0 Actual: 1 Raw: 1069.40603885\n", "Predicted: -1.0 Actual: -1 Raw: -108.832919395\n", "Predicted: -1.0 Actual: -1 Raw: -15.365653995\n", "Predicted: 1.0 Actual: 1 Raw: 1013.81181141\n", "Predicted: -1.0 Actual: -1 Raw: -451.502031995\n", "Predicted: 1.0 Actual: 1 Raw: 398.852082845\n", "Predicted: 1.0 Actual: 1 Raw: 1076.51815593\n", "Predicted: -1.0 Actual: -1 Raw: -109.401760555\n", "Predicted: -1.0 Actual: -1 Raw: -121.769735275\n", "Predicted: 1.0 Actual: 1 Raw: 476.282427365\n", "Predicted: 1.0 Actual: 1 Raw: 1190.48265705\n", "Predicted: -1.0 Actual: -1 Raw: -11.124161075\n", "Predicted: -1.0 Actual: -1 Raw: -294.199087995\n", "Predicted: -1.0 Actual: -1 Raw: -521.690914915\n", "Predicted: 1.0 Actual: 1 Raw: 512.523586205\n", "Predicted: -1.0 Actual: -1 Raw: -394.235131915\n", "Predicted: 1.0 Actual: 1 Raw: 2303.29995161\n", "Predicted: 1.0 Actual: 1 Raw: 657.573993365\n", "Predicted: -1.0 Actual: -1 Raw: -765.487626395\n", "Predicted: -1.0 Actual: -1 Raw: -469.645563755\n", "Predicted: 1.0 Actual: 1 Raw: 1033.29468241\n", "Predicted: -1.0 Actual: -1 Raw: -380.209317595\n", "Predicted: -1.0 Actual: -1 Raw: -768.714296715\n", "Predicted: -1.0 Actual: -1 Raw: -551.449067035\n", "=== Loop 4 ===\n", "Weights: [ -9.99989560e-01 3.68100000e-03 -5.00000000e-09]\n", "Accuracy: 100.0\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Predicted: -1.0 Actual: -1 Raw: -13.514952955\n", "Predicted: 1.0 Actual: 1 Raw: 1018.84606793\n", "Predicted: -1.0 Actual: -1 Raw: -291.589932075\n", "Predicted: -1.0 Actual: -1 Raw: -228.969817235\n", "Predicted: 1.0 Actual: 1 Raw: 492.230339365\n", "Predicted: -1.0 Actual: -1 Raw: -264.969441395\n", "Predicted: 1.0 Actual: 1 Raw: 644.280673445\n", "Predicted: 1.0 Actual: 1 Raw: 555.660830045\n", "Predicted: 1.0 Actual: 1 Raw: 1069.40603885\n", "Predicted: -1.0 Actual: -1 Raw: -108.832919395\n", "Predicted: -1.0 Actual: -1 Raw: -15.365653995\n", "Predicted: 1.0 Actual: 1 Raw: 1013.81181141\n", "Predicted: -1.0 Actual: -1 Raw: -451.502031995\n", "Predicted: 1.0 Actual: 1 Raw: 398.852082845\n", "Predicted: 1.0 Actual: 1 Raw: 1076.51815593\n", "Predicted: -1.0 Actual: -1 Raw: -109.401760555\n", "Predicted: -1.0 Actual: -1 Raw: -121.769735275\n", "Predicted: 1.0 Actual: 1 Raw: 476.282427365\n", "Predicted: 1.0 Actual: 1 Raw: 1190.48265705\n", "Predicted: -1.0 Actual: -1 Raw: -11.124161075\n", "Predicted: -1.0 Actual: -1 Raw: -294.199087995\n", "Predicted: -1.0 Actual: -1 Raw: -521.690914915\n", "Predicted: 1.0 Actual: 1 Raw: 512.523586205\n", "Predicted: -1.0 Actual: -1 Raw: -394.235131915\n", "Predicted: 1.0 Actual: 1 Raw: 2303.29995161\n", "Predicted: 1.0 Actual: 1 Raw: 657.573993365\n", "Predicted: -1.0 Actual: -1 Raw: -765.487626395\n", "Predicted: -1.0 Actual: -1 Raw: -469.645563755\n", "Predicted: 1.0 Actual: 1 Raw: 1033.29468241\n", "Predicted: -1.0 Actual: -1 Raw: -380.209317595\n", "Predicted: -1.0 Actual: -1 Raw: -768.714296715\n", "Predicted: -1.0 Actual: -1 Raw: -551.449067035\n", "=== Loop 5 ===\n", "Weights: [ -9.99989560e-01 3.68100000e-03 -5.00000000e-09]\n", "Accuracy: 100.0\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Predicted: -1.0 Actual: -1 Raw: -13.514952955\n", "Predicted: 1.0 Actual: 1 Raw: 1018.84606793\n", "Predicted: -1.0 Actual: -1 Raw: -291.589932075\n", "Predicted: -1.0 Actual: -1 Raw: -228.969817235\n", "Predicted: 1.0 Actual: 1 Raw: 492.230339365\n", "Predicted: -1.0 Actual: -1 Raw: -264.969441395\n", "Predicted: 1.0 Actual: 1 Raw: 644.280673445\n", "Predicted: 1.0 Actual: 1 Raw: 555.660830045\n", "Predicted: 1.0 Actual: 1 Raw: 1069.40603885\n", "Predicted: -1.0 Actual: -1 Raw: -108.832919395\n", "Predicted: -1.0 Actual: -1 Raw: -15.365653995\n", "Predicted: 1.0 Actual: 1 Raw: 1013.81181141\n", "Predicted: -1.0 Actual: -1 Raw: -451.502031995\n", "Predicted: 1.0 Actual: 1 Raw: 398.852082845\n", "Predicted: 1.0 Actual: 1 Raw: 1076.51815593\n", "Predicted: -1.0 Actual: -1 Raw: -109.401760555\n", "Predicted: -1.0 Actual: -1 Raw: -121.769735275\n", "Predicted: 1.0 Actual: 1 Raw: 476.282427365\n", "Predicted: 1.0 Actual: 1 Raw: 1190.48265705\n", "Predicted: -1.0 Actual: -1 Raw: -11.124161075\n", "Predicted: -1.0 Actual: -1 Raw: -294.199087995\n", "Predicted: -1.0 Actual: -1 Raw: -521.690914915\n", "Predicted: 1.0 Actual: 1 Raw: 512.523586205\n", "Predicted: -1.0 Actual: -1 Raw: -394.235131915\n", "Predicted: 1.0 Actual: 1 Raw: 2303.29995161\n", "Predicted: 1.0 Actual: 1 Raw: 657.573993365\n", "Predicted: -1.0 Actual: -1 Raw: -765.487626395\n", "Predicted: -1.0 Actual: -1 Raw: -469.645563755\n", "Predicted: 1.0 Actual: 1 Raw: 1033.29468241\n", "Predicted: -1.0 Actual: -1 Raw: -380.209317595\n", "Predicted: -1.0 Actual: -1 Raw: -768.714296715\n", "Predicted: -1.0 Actual: -1 Raw: -551.449067035\n", "=== Loop 6 ===\n", "Weights: [ -9.99989560e-01 3.68100000e-03 -5.00000000e-09]\n", "Accuracy: 100.0\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Predicted: -1.0 Actual: -1 Raw: -13.514952955\n", "Predicted: 1.0 Actual: 1 Raw: 1018.84606793\n", "Predicted: -1.0 Actual: -1 Raw: -291.589932075\n", "Predicted: -1.0 Actual: -1 Raw: -228.969817235\n", "Predicted: 1.0 Actual: 1 Raw: 492.230339365\n", "Predicted: -1.0 Actual: -1 Raw: -264.969441395\n", "Predicted: 1.0 Actual: 1 Raw: 644.280673445\n", "Predicted: 1.0 Actual: 1 Raw: 555.660830045\n", "Predicted: 1.0 Actual: 1 Raw: 1069.40603885\n", "Predicted: -1.0 Actual: -1 Raw: -108.832919395\n", "Predicted: -1.0 Actual: -1 Raw: -15.365653995\n", "Predicted: 1.0 Actual: 1 Raw: 1013.81181141\n", "Predicted: -1.0 Actual: -1 Raw: -451.502031995\n", "Predicted: 1.0 Actual: 1 Raw: 398.852082845\n", "Predicted: 1.0 Actual: 1 Raw: 1076.51815593\n", "Predicted: -1.0 Actual: -1 Raw: -109.401760555\n", "Predicted: -1.0 Actual: -1 Raw: -121.769735275\n", "Predicted: 1.0 Actual: 1 Raw: 476.282427365\n", "Predicted: 1.0 Actual: 1 Raw: 1190.48265705\n", "Predicted: -1.0 Actual: -1 Raw: -11.124161075\n", "Predicted: -1.0 Actual: -1 Raw: -294.199087995\n", "Predicted: -1.0 Actual: -1 Raw: -521.690914915\n", "Predicted: 1.0 Actual: 1 Raw: 512.523586205\n", "Predicted: -1.0 Actual: -1 Raw: -394.235131915\n", "Predicted: 1.0 Actual: 1 Raw: 2303.29995161\n", "Predicted: 1.0 Actual: 1 Raw: 657.573993365\n", "Predicted: -1.0 Actual: -1 Raw: -765.487626395\n", "Predicted: -1.0 Actual: -1 Raw: -469.645563755\n", "Predicted: 1.0 Actual: 1 Raw: 1033.29468241\n", "Predicted: -1.0 Actual: -1 Raw: -380.209317595\n", "Predicted: -1.0 Actual: -1 Raw: -768.714296715\n", "Predicted: -1.0 Actual: -1 Raw: -551.449067035\n", "=== Loop 7 ===\n", "Weights: [ -9.99989560e-01 3.68100000e-03 -5.00000000e-09]\n", "Accuracy: 100.0\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Predicted: -1.0 Actual: -1 Raw: -13.514952955\n", "Predicted: 1.0 Actual: 1 Raw: 1018.84606793\n", "Predicted: -1.0 Actual: -1 Raw: -291.589932075\n", "Predicted: -1.0 Actual: -1 Raw: -228.969817235\n", "Predicted: 1.0 Actual: 1 Raw: 492.230339365\n", "Predicted: -1.0 Actual: -1 Raw: -264.969441395\n", "Predicted: 1.0 Actual: 1 Raw: 644.280673445\n", "Predicted: 1.0 Actual: 1 Raw: 555.660830045\n", "Predicted: 1.0 Actual: 1 Raw: 1069.40603885\n", "Predicted: -1.0 Actual: -1 Raw: -108.832919395\n", "Predicted: -1.0 Actual: -1 Raw: -15.365653995\n", "Predicted: 1.0 Actual: 1 Raw: 1013.81181141\n", "Predicted: -1.0 Actual: -1 Raw: -451.502031995\n", "Predicted: 1.0 Actual: 1 Raw: 398.852082845\n", "Predicted: 1.0 Actual: 1 Raw: 1076.51815593\n", "Predicted: -1.0 Actual: -1 Raw: -109.401760555\n", "Predicted: -1.0 Actual: -1 Raw: -121.769735275\n", "Predicted: 1.0 Actual: 1 Raw: 476.282427365\n", "Predicted: 1.0 Actual: 1 Raw: 1190.48265705\n", "Predicted: -1.0 Actual: -1 Raw: -11.124161075\n", "Predicted: -1.0 Actual: -1 Raw: -294.199087995\n", "Predicted: -1.0 Actual: -1 Raw: -521.690914915\n", "Predicted: 1.0 Actual: 1 Raw: 512.523586205\n", "Predicted: -1.0 Actual: -1 Raw: -394.235131915\n", "Predicted: 1.0 Actual: 1 Raw: 2303.29995161\n", "Predicted: 1.0 Actual: 1 Raw: 657.573993365\n", "Predicted: -1.0 Actual: -1 Raw: -765.487626395\n", "Predicted: -1.0 Actual: -1 Raw: -469.645563755\n", "Predicted: 1.0 Actual: 1 Raw: 1033.29468241\n", "Predicted: -1.0 Actual: -1 Raw: -380.209317595\n", "Predicted: -1.0 Actual: -1 Raw: -768.714296715\n", "Predicted: -1.0 Actual: -1 Raw: -551.449067035\n", "=== Loop 8 ===\n", "Weights: [ -9.99989560e-01 3.68100000e-03 -5.00000000e-09]\n", "Accuracy: 100.0\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Predicted: -1.0 Actual: -1 Raw: -13.514952955\n", "Predicted: 1.0 Actual: 1 Raw: 1018.84606793\n", "Predicted: -1.0 Actual: -1 Raw: -291.589932075\n", "Predicted: -1.0 Actual: -1 Raw: -228.969817235\n", "Predicted: 1.0 Actual: 1 Raw: 492.230339365\n", "Predicted: -1.0 Actual: -1 Raw: -264.969441395\n", "Predicted: 1.0 Actual: 1 Raw: 644.280673445\n", "Predicted: 1.0 Actual: 1 Raw: 555.660830045\n", "Predicted: 1.0 Actual: 1 Raw: 1069.40603885\n", "Predicted: -1.0 Actual: -1 Raw: -108.832919395\n", "Predicted: -1.0 Actual: -1 Raw: -15.365653995\n", "Predicted: 1.0 Actual: 1 Raw: 1013.81181141\n", "Predicted: -1.0 Actual: -1 Raw: -451.502031995\n", "Predicted: 1.0 Actual: 1 Raw: 398.852082845\n", "Predicted: 1.0 Actual: 1 Raw: 1076.51815593\n", "Predicted: -1.0 Actual: -1 Raw: -109.401760555\n", "Predicted: -1.0 Actual: -1 Raw: -121.769735275\n", "Predicted: 1.0 Actual: 1 Raw: 476.282427365\n", "Predicted: 1.0 Actual: 1 Raw: 1190.48265705\n", "Predicted: -1.0 Actual: -1 Raw: -11.124161075\n", "Predicted: -1.0 Actual: -1 Raw: -294.199087995\n", "Predicted: -1.0 Actual: -1 Raw: -521.690914915\n", "Predicted: 1.0 Actual: 1 Raw: 512.523586205\n", "Predicted: -1.0 Actual: -1 Raw: -394.235131915\n", "Predicted: 1.0 Actual: 1 Raw: 2303.29995161\n", "Predicted: 1.0 Actual: 1 Raw: 657.573993365\n", "Predicted: -1.0 Actual: -1 Raw: -765.487626395\n", "Predicted: -1.0 Actual: -1 Raw: -469.645563755\n", "Predicted: 1.0 Actual: 1 Raw: 1033.29468241\n", "Predicted: -1.0 Actual: -1 Raw: -380.209317595\n", "Predicted: -1.0 Actual: -1 Raw: -768.714296715\n", "Predicted: -1.0 Actual: -1 Raw: -551.449067035\n", "=== Loop 9 ===\n", "Weights: [ -9.99989560e-01 3.68100000e-03 -5.00000000e-09]\n", "Accuracy: 100.0\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### Let us now simulate the perceptron\n", "\n", "## We are going to run the Perceptron in two Dimensions: Price and Footage\n", "## f((Footage, Price, -1)) = w1*Footage + w2*Price - w3; where w3 is Theta\n", "\n", "## let's select learning rate\n", "\n", "Rate = 0 ### pick the appropriate rate. Note, it can be very small, because our numbers are large\n", "\n", "\n", "## Starting vector\n", "\n", "w = np.array([0,0,0]) ### pick the right starting vector. Note: [0,0,0] might not actually work.\n", "\n", "\n", "### Below is a VERY SIMPLE training loop. We simply call trainPerceptron() 10 times in a row\n", "### (chaining the w), and compute the accuracy of the perceptron after each step. We also\n", "### draw the state of the plane after each iteration\n", "\n", "for i in range(10):\n", " w = trainPerceptron(simpleData, w, Rate)\n", " accuracy = getPerceptronAccuracy(simpleData,w)\n", " print(\"=== Loop \", i,\" ===\")\n", " print(\"Weights:\",w)\n", " print(\"Accuracy:\", accuracy)\n", " plotW(simpleSlo,simplePaso, w)\n", " \n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python [Root]", "language": "python", "name": "Python [Root]" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }