第5.4节_分类（线性不可分）.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 示例代码5-4-7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 读入学习数据\n",
    "train = np.loadtxt('data3.csv', delimiter=',', skiprows=1)\n",
    "train_x = train[:,0:2]\n",
    "train_y = train[:,2]\n",
    "\n",
    "plt.plot(train_x[train_y == 1, 0], train_x[train_y == 1, 1], 'o')\n",
    "plt.plot(train_x[train_y == 0, 0], train_x[train_y == 0, 1], 'x')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 示例代码5-4-8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 参数初始化\n",
    "theta = np.random.rand(4)\n",
    "\n",
    "# 标准化\n",
    "mu = train_x.mean(axis=0)\n",
    "sigma = train_x.std(axis=0)\n",
    "def standardize(x):\n",
    "    return (x - mu) / sigma\n",
    "\n",
    "train_z = standardize(train_x)\n",
    "\n",
    "# 增加x0和x3\n",
    "def to_matrix(x):\n",
    "    x0 = np.ones([x.shape[0], 1])\n",
    "    x3 = x[:,0,np.newaxis] ** 2\n",
    "    return np.hstack([x0, x, x3])\n",
    "\n",
    "X = to_matrix(train_z)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 示例代码5-4-9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "第4888次: theta = [-2.55203527  1.52807982 -3.90323375  2.40443201]\n",
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      "第4890次: theta = [-2.55254688  1.52828274 -3.90378795  2.40483267]\n",
      "第4891次: theta = [-2.55280262  1.52838417 -3.90406499  2.40503295]\n",
      "第4892次: theta = [-2.55305832  1.52848559 -3.90434199  2.4052332 ]\n",
      "第4893次: theta = [-2.55331398  1.528587   -3.90461895  2.40543342]\n",
      "第4894次: theta = [-2.55356959  1.52868839 -3.90489588  2.40563361]\n",
      "第4895次: theta = [-2.55382516  1.52878977 -3.90517276  2.40583377]\n",
      "第4896次: theta = [-2.55408068  1.52889113 -3.90544961  2.4060339 ]\n",
      "第4897次: theta = [-2.55433617  1.52899248 -3.90572642  2.40623399]\n",
      "第4898次: theta = [-2.55459161  1.52909382 -3.90600319  2.40643406]\n",
      "第4899次: theta = [-2.55484701  1.52919514 -3.90627992  2.40663409]\n",
      "第4900次: theta = [-2.55510236  1.52929644 -3.90655661  2.40683409]\n",
      "第4901次: theta = [-2.55535768  1.52939774 -3.90683326  2.40703406]\n",
      "第4902次: theta = [-2.55561295  1.52949902 -3.90710988  2.407234  ]\n",
      "第4903次: theta = [-2.55586818  1.52960028 -3.90738645  2.4074339 ]\n",
      "第4904次: theta = [-2.55612336  1.52970153 -3.90766299  2.40763378]\n",
      "第4905次: theta = [-2.5563785   1.52980277 -3.90793949  2.40783362]\n",
      "第4906次: theta = [-2.5566336   1.52990399 -3.90821595  2.40803344]\n",
      "第4907次: theta = [-2.55688866  1.5300052  -3.90849237  2.40823322]\n",
      "第4908次: theta = [-2.55714367  1.53010639 -3.90876875  2.40843297]\n",
      "第4909次: theta = [-2.55739865  1.53020757 -3.90904509  2.40863269]\n",
      "第4910次: theta = [-2.55765358  1.53030874 -3.9093214   2.40883238]\n",
      "第4911次: theta = [-2.55790846  1.53040989 -3.90959766  2.40903203]\n",
      "第4912次: theta = [-2.55816331  1.53051102 -3.90987389  2.40923166]\n",
      "第4913次: theta = [-2.55841811  1.53061215 -3.91015008  2.40943125]\n",
      "第4914次: theta = [-2.55867287  1.53071326 -3.91042623  2.40963082]\n",
      "第4915次: theta = [-2.55892758  1.53081435 -3.91070234  2.40983035]\n",
      "第4916次: theta = [-2.55918226  1.53091543 -3.91097841  2.41002985]\n",
      "第4917次: theta = [-2.55943689  1.5310165  -3.91125445  2.41022932]\n",
      "第4918次: theta = [-2.55969148  1.53111755 -3.91153045  2.41042876]\n",
      "第4919次: theta = [-2.55994603  1.53121859 -3.9118064   2.41062816]\n",
      "第4920次: theta = [-2.56020053  1.53131961 -3.91208232  2.41082754]\n",
      "第4921次: theta = [-2.56045499  1.53142062 -3.9123582   2.41102688]\n",
      "第4922次: theta = [-2.56070941  1.53152162 -3.91263405  2.4112262 ]\n",
      "第4923次: theta = [-2.56096379  1.5316226  -3.91290985  2.41142548]\n",
      "第4924次: theta = [-2.56121813  1.53172357 -3.91318562  2.41162473]\n",
      "第4925次: theta = [-2.56147242  1.53182452 -3.91346134  2.41182395]\n",
      "第4926次: theta = [-2.56172667  1.53192546 -3.91373703  2.41202314]\n",
      "第4927次: theta = [-2.56198088  1.53202639 -3.91401268  2.4122223 ]\n",
      "第4928次: theta = [-2.56223504  1.5321273  -3.91428829  2.41242143]\n",
      "第4929次: theta = [-2.56248916  1.5322282  -3.91456387  2.41262052]\n",
      "第4930次: theta = [-2.56274325  1.53232908 -3.9148394   2.41281959]\n",
      "第4931次: theta = [-2.56299728  1.53242995 -3.9151149   2.41301862]\n",
      "第4932次: theta = [-2.56325128  1.53253081 -3.91539036  2.41321763]\n",
      "第4933次: theta = [-2.56350524  1.53263165 -3.91566578  2.4134166 ]\n",
      "第4934次: theta = [-2.56375915  1.53273247 -3.91594116  2.41361554]\n",
      "第4935次: theta = [-2.56401302  1.53283329 -3.91621651  2.41381445]\n",
      "第4936次: theta = [-2.56426684  1.53293409 -3.91649181  2.41401333]\n",
      "第4937次: theta = [-2.56452063  1.53303487 -3.91676708  2.41421218]\n",
      "第4938次: theta = [-2.56477437  1.53313565 -3.91704231  2.414411  ]\n",
      "第4939次: theta = [-2.56502807  1.5332364  -3.9173175   2.41460978]\n",
      "第4940次: theta = [-2.56528173  1.53333715 -3.91759265  2.41480854]\n",
      "第4941次: theta = [-2.56553535  1.53343788 -3.91786777  2.41500726]\n",
      "第4942次: theta = [-2.56578893  1.53353859 -3.91814284  2.41520596]\n",
      "第4943次: theta = [-2.56604246  1.53363929 -3.91841788  2.41540462]\n",
      "第4944次: theta = [-2.56629595  1.53373998 -3.91869288  2.41560325]\n",
      "第4945次: theta = [-2.5665494   1.53384065 -3.91896784  2.41580185]\n",
      "第4946次: theta = [-2.5668028   1.53394131 -3.91924277  2.41600042]\n",
      "第4947次: theta = [-2.56705617  1.53404196 -3.91951765  2.41619896]\n",
      "第4948次: theta = [-2.56730949  1.53414259 -3.9197925   2.41639747]\n",
      "第4949次: theta = [-2.56756277  1.53424321 -3.92006731  2.41659595]\n",
      "第4950次: theta = [-2.56781601  1.53434381 -3.92034208  2.4167944 ]\n",
      "第4951次: theta = [-2.56806921  1.5344444  -3.92061681  2.41699281]\n",
      "第4952次: theta = [-2.56832236  1.53454498 -3.92089151  2.4171912 ]\n",
      "第4953次: theta = [-2.56857547  1.53464554 -3.92116617  2.41738955]\n",
      "第4954次: theta = [-2.56882855  1.53474609 -3.92144079  2.41758788]\n",
      "第4955次: theta = [-2.56908157  1.53484662 -3.92171537  2.41778617]\n",
      "第4956次: theta = [-2.56933456  1.53494715 -3.92198991  2.41798443]\n",
      "第4957次: theta = [-2.56958751  1.53504765 -3.92226442  2.41818266]\n",
      "第4958次: theta = [-2.56984041  1.53514814 -3.92253888  2.41838086]\n",
      "第4959次: theta = [-2.57009327  1.53524862 -3.92281331  2.41857903]\n",
      "第4960次: theta = [-2.57034609  1.53534909 -3.92308771  2.41877717]\n",
      "第4961次: theta = [-2.57059887  1.53544954 -3.92336206  2.41897528]\n",
      "第4962次: theta = [-2.5708516   1.53554998 -3.92363638  2.41917336]\n",
      "第4963次: theta = [-2.5711043   1.5356504  -3.92391065  2.41937141]\n",
      "第4964次: theta = [-2.57135695  1.53575081 -3.92418489  2.41956942]\n",
      "第4965次: theta = [-2.57160956  1.53585121 -3.9244591   2.41976741]\n",
      "第4966次: theta = [-2.57186213  1.53595159 -3.92473326  2.41996536]\n",
      "第4967次: theta = [-2.57211466  1.53605196 -3.92500739  2.42016329]\n",
      "第4968次: theta = [-2.57236714  1.53615231 -3.92528148  2.42036118]\n",
      "第4969次: theta = [-2.57261959  1.53625265 -3.92555553  2.42055905]\n",
      "第4970次: theta = [-2.57287199  1.53635298 -3.92582954  2.42075688]\n",
      "第4971次: theta = [-2.57312435  1.53645329 -3.92610352  2.42095468]\n",
      "第4972次: theta = [-2.57337667  1.53655359 -3.92637745  2.42115245]\n",
      "第4973次: theta = [-2.57362894  1.53665387 -3.92665135  2.4213502 ]\n",
      "第4974次: theta = [-2.57388118  1.53675414 -3.92692521  2.42154791]\n",
      "第4975次: theta = [-2.57413337  1.5368544  -3.92719904  2.42174559]\n",
      "第4976次: theta = [-2.57438553  1.53695465 -3.92747283  2.42194324]\n",
      "第4977次: theta = [-2.57463764  1.53705488 -3.92774657  2.42214085]\n",
      "第4978次: theta = [-2.57488971  1.53715509 -3.92802029  2.42233844]\n",
      "第4979次: theta = [-2.57514173  1.53725529 -3.92829396  2.422536  ]\n",
      "第4980次: theta = [-2.57539372  1.53735548 -3.9285676   2.42273353]\n",
      "第4981次: theta = [-2.57564566  1.53745566 -3.92884119  2.42293103]\n",
      "第4982次: theta = [-2.57589757  1.53755582 -3.92911476  2.42312849]\n",
      "第4983次: theta = [-2.57614943  1.53765597 -3.92938828  2.42332593]\n",
      "第4984次: theta = [-2.57640125  1.5377561  -3.92966176  2.42352333]\n",
      "第4985次: theta = [-2.57665303  1.53785622 -3.92993521  2.42372071]\n",
      "第4986次: theta = [-2.57690476  1.53795632 -3.93020862  2.42391805]\n",
      "第4987次: theta = [-2.57715646  1.53805642 -3.930482    2.42411537]\n",
      "第4988次: theta = [-2.57740811  1.5381565  -3.93075533  2.42431265]\n",
      "第4989次: theta = [-2.57765973  1.53825656 -3.93102863  2.42450991]\n",
      "第4990次: theta = [-2.5779113   1.53835661 -3.93130189  2.42470713]\n",
      "第4991次: theta = [-2.57816283  1.53845665 -3.93157511  2.42490432]\n",
      "第4992次: theta = [-2.57841431  1.53855667 -3.9318483   2.42510148]\n",
      "第4993次: theta = [-2.57866576  1.53865668 -3.93212144  2.42529862]\n",
      "第4994次: theta = [-2.57891717  1.53875668 -3.93239455  2.42549572]\n",
      "第4995次: theta = [-2.57916853  1.53885666 -3.93266763  2.42569279]\n",
      "第4996次: theta = [-2.57941986  1.53895663 -3.93294066  2.42588983]\n",
      "第4997次: theta = [-2.57967114  1.53905659 -3.93321366  2.42608684]\n",
      "第4998次: theta = [-2.57992238  1.53915653 -3.93348662  2.42628382]\n",
      "第4999次: theta = [-2.58017358  1.53925645 -3.93375954  2.42648077]\n",
      "第5000次: theta = [-2.58042474  1.53935637 -3.93403243  2.42667769]\n"
     ]
    }
   ],
   "source": [
    "# sigmoid函数\n",
    "def f(x):\n",
    "    return 1 / (1 + np.exp(-np.dot(x, theta)))\n",
    "\n",
    "# 学习率\n",
    "ETA = 1e-3\n",
    "\n",
    "# 重复次数\n",
    "epoch = 5000\n",
    "\n",
    "# 更新次数\n",
    "count = 0\n",
    "\n",
    "# 重复学习\n",
    "for _ in range(epoch):\n",
    "    theta = theta - ETA * np.dot(f(X) - train_y, X)\n",
    "\n",
    "    # ログの出力\n",
    "    count += 1\n",
    "    print('第{}次: theta = {}'.format(count, theta))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 示例代码5-4-10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘图确认\n",
    "x1 = np.linspace(-2, 2, 100)\n",
    "x2 = -(theta[0] + theta[1] * x1 + theta[3] * x1 ** 2) / theta[2]\n",
    "plt.plot(train_z[train_y == 1, 0], train_z[train_y == 1, 1], 'o')\n",
    "plt.plot(train_z[train_y == 0, 0], train_z[train_y == 0, 1], 'x')\n",
    "plt.plot(x1, x2, linestyle='dashed')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 示例代码5-4-11"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7Q28euHzAedZT9Fe8Z3qvpAp4CPhWd/vDae/pCPu8AHiY3qc7rumOXQe8s7v/Ynqf2pgH/g14Vd9zr+med4Bj8NNJk94z8AHgv/t+pt8CTp72flb759x3jnUdff8iV5Ia4qd3JKkhRl+SGmL0JakhRl+SGmL0JakhRl+SGmL0JakhRl+SGvJ/nce1/CZAK1QAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 分类函数\n",
    "def classify(x):\n",
    "    return (f(x) >= 0.5).astype(np.int)\n",
    "\n",
    "# 参数初始化\n",
    "theta = np.random.rand(4)\n",
    "\n",
    "# 精度的历史记录\n",
    "accuracies = []\n",
    "\n",
    "# 重复学习\n",
    "for _ in range(epoch):\n",
    "    theta = theta - ETA * np.dot(f(X) - train_y, X)\n",
    "\n",
    "# 计算现在的精度\n",
    "result = classify(X) == train_y\n",
    "accuracy = len(result[result == True]) / len(result)\n",
    "accuracies.append(accuracy)\n",
    "\n",
    "# 将精度画成图\n",
    "x = np.arange(len(accuracies))\n",
    "\n",
    "plt.plot(x, accuracies)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}