{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# import\n", "import numpy as np\n", "import scipy as sp\n", "import timeit\n", "import matplotlib.pyplot as plt\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Comparing the time**" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total time taken: -0.006210096431396868\n" ] } ], "source": [ "start = timeit.timeit()\n", "\n", "X = range(1000)\n", "\n", "pySum = sum([n*n for n in X])\n", "\n", "end = timeit.timeit()\n", "\n", "print(\"Total time taken: \", end-start)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** Learning Scipy **" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 1.00000000e+00 2.27200000e+03]\n", " [ 2.00000000e+00 nan]\n", " [ 3.00000000e+00 1.38600000e+03]]\n", "743\n" ] } ], "source": [ "# reading the web data \n", "\n", "data = sp.genfromtxt(\"data/web_traffic.tsv\", delimiter=\"\\t\")\n", "print(data[:3])\n", "print(len(data))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** Preprocessing and Cleaning the data **" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0\n", "8\n" ] } ], "source": [ "X = data[:, 0]\n", "y = data[:, 1]\n", "\n", "# checking for nan values\n", "print(sum(np.isnan(X)))\n", "print(sum(np.isnan(y)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** Filtering the nan data **" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0\n", "0\n" ] } ], "source": [ "X = X[~np.isnan(y)]\n", "y = y[~np.isnan(y)]\n", "\n", "# checking for nan values\n", "print(sum(np.isnan(X)))\n", "print(sum(np.isnan(y)))" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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cdjM7Xz6wXuWc+1Y0zxskfc7M3uScO9DFbQQAAECf9b3GV9LzJe0ws0+Z2ZSZ7TKz/wyC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\n2LDXrMpcx+BWlRVjGsr1WX6symM/+GD2k/w0zr+qyWmjgsk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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,6))\n", "\n", "ax.plot(X, y, '.b')\n", "ax.margins(0.2)\n", "plt.xticks([w*24*7 for w in range(0, 6)], [\"week %d\" %w for w in range(0, 6)])\n", "ax.set_xlabel(\"Week\")\n", "ax.set_ylabel(\"Hits / Week\")\n", "ax.set_title(\"Web Traffic over weeks\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** Choosing the right model and learning algorithm **" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# creating a error calc fuction\n", "def error(f, x, y):\n", " return np.sum((f(x) - y)**2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** Linear 1-d model **" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 2.59619213 989.02487106]\n", "[ 3.17389767e+08]\n", "Error : 317389767.34\n" ] }, { "data": { "image/png": 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X0Ucf3eR5d+7cSbdu3RgxYgRLly5t/cVkkAJfERERkRZs3pz4cb6de9u2bezfv5/hw4c3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\n2+Y27nzuTo4cP5K1zIThE7h25rU0NzWzZMoS6gbVZS1TyI2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7lq+ytCyzfKkxdDSGM799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"text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# sp's polyfit func do the same\n", "fp1, residuals, rank, sv, rcond = sp.polyfit(X, y, 1, full=True)\n", "\n", "print(fp1)\n", "print(residuals)\n", "\n", "# generating the one order function\n", "f1 = sp.poly1d(fp1)\n", "\n", "# checking error\n", "print(\"Error : \",error(f1, X, y))\n", "\n", "x1 = np.array([-100, np.max(X)+100])\n", "y1 = f1(x1)\n", "\n", "ax.plot(x1, y1, c='g', linewidth=2)\n", "ax.legend([\"data\", \"d = %i\" % f1.order], loc='best')\n", "fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " $$ f(x) = 2.59619213 * x + 989.02487106 $$ \n", " \n", " ** Polynomial 2-d **" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 1.05322215e-02 -5.26545650e+00 1.97476082e+03]\n", "Error : 179983507.878\n" ] }, { "data": { "image/png": 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HBQsW1P1h4kiBr4iIiEg1ioqq3k62a69Zs4Zt27bRq1evCsdycnLKbc+ZM4cTTzyRPffc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"text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# sp's polyfit func do the same\n", "fp2 = sp.polyfit(X, y, 2)\n", "\n", "print(fp2)\n", "\n", "# generating the 2 order function\n", "f2= sp.poly1d(fp2)\n", "\n", "# checking error\n", "print(\"Error : \",error(f2, X, y))\n", "\n", "x1= np.linspace(-100, np.max(X)+100, 2000)\n", "y2= f2(x1)\n", "\n", "ax.plot(x1, y2, c='r', linewidth=2)\n", "ax.legend([\"data\", \"d = %i\" % f1.order, \"d = %i\" % f2.order], loc='best')\n", "fig" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "$$ f(x) = 0.0105322215 * x^2 - 5.26545650 * x + 1974.6082 $$" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "What if we want to regress two response output instead of one, As we can see in the graph that there is a steep change in data between week 3 and 4, so let's draw two reponses line, one for the data between week0 and week3.5 and second for week3.5 to week5" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# we are going to divide the data on time so\n", "div = 3.5*7*24\n", "\n", "X1 = X[X<=div]\n", "Y1 = y[X<=div]\n", "\n", "X2 = X[X>div]\n", "Y2 = y[X>div]\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Error inflection = 135015350.586215\n" ] } ], "source": [ "# now plotting the both data\n", "\n", "fa = sp.poly1d(sp.polyfit(X1, Y1, 1))\n", "fb = sp.poly1d(sp.polyfit(X2, Y2, 1))\n", "\n", "fa_error = error(fa, X1, Y1)\n", "fb_error = error(fb, X2, Y2)\n", "print(\"Error inflection = %f\" % (fa_error + fb_error))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Oh8PW/ZVdhlHhm07d0zBjS4rOsXLlStauXUu/fv1qbMvPz29U4durVy969eqV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tqsr6/pC0J2tqUEcX6+6y8+puu5bRs0Lc3hPuYwgXdoRbbN+I4rrXld/JPZ3M9Zmtn0462/uJZ1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\n7nLt8wecj5cuB0bgTD/2T8Cl4Z9fC+wJf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"text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x1 = np.linspace(-100, X1[-1]+100, 1000)\n", "x2 = np.linspace(X1[-10], X2[-1]+100, 1000)\n", "\n", "ya = fa(x1)\n", "yb = fb(x2)\n", "\n", "ax.plot(x1, ya, c='#800000', linewidth=2) # brown\n", "ax.plot(x2, yb, c='#FFA500', linewidth=2) # orange\n", "ax.grid(True)\n", "\n", "\n", "fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suppose we choose that function with degree 2 is best fit for our data and want to predict that if everything will go same then when we will hit the 100000 count ??\n", "\n", "$$ 0 = f(x) - 100000 = 0.0105322215 * x^2 - 5.26545650 * x + 1974.6082 - 100000 $$ \n", "\n", "SciPy's optimize module has the function \n", "fsolve that achieves this, when providing an initial starting position with parameter \n", "x0. As every entry in our input data file corresponds to one hour, and we have 743 of \n", "them, we set the starting position to some value after that. Let fbt2 be the winning \n", "polynomial of degree 2." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 2\n", "0.01053 x - 5.265 x + 1975\n" ] } ], "source": [ "print(f2)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 2\n", "0.01053 x - 5.265 x - 9.803e+04\n", "100,000 hits/hour expected at week 19.708090\n" ] } ], "source": [ "print(f2 - 100000)\n", "\n", "# import \n", "from scipy.optimize import fsolve\n", "\n", "reached_max = fsolve(f2-100000, x0=800)/(7*24)\n", "print(\"100,000 hits/hour expected at week %f\" % reached_max[0])" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda root]", "language": "python", "name": "conda-root-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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }