保序回歸(Isotonic Regression).ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 保序回歸(Isotonic Regression)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 先引入我們需要的packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os \n",
    "import numpy as np\n",
    "import random\n",
    "import cvxopt\n",
    "from cvxopt import matrix, solvers\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Training Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x1296 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# p0~p9代表0次到9次方\n",
    "p9,p8,p7,p6,p5,p4,p3,p2,p1,p0=1,-2,3,-4,5,-6,7,-8,9,-10\n",
    "x=np.zeros(100)\n",
    "y=np.zeros(100)\n",
    "# 隨機產生數據點\n",
    "for i in range(0,len(x)):\n",
    "    x[i]+=random.random()\n",
    "    y[i]+=random.random()*1\n",
    "power=[p9,p8,p7,p6,p5,p4,p3,p2,p1,p0]\n",
    "for i in range(0,len(power)):\n",
    "    y+=power[len(power)-i-1]*(x**i)\n",
    "# 視覺化\n",
    "plt.rcParams[\"figure.figsize\"] = (18,18)\n",
    "plt.plot(x,y,\"ko\",markersize=12)\n",
    "plt.xticks(fontsize=30)\n",
    "plt.yticks(fontsize=30)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Isotonic Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "N=100\n",
    "Q = cvxopt.matrix(np.diag(np.ones(N)))\n",
    "p = cvxopt.matrix(-y[np.argsort(x)])\n",
    "G = cvxopt.matrix((np.concatenate([np.diag(np.ones(N-1)),np.zeros((N-1,1))],axis=1)+\n",
    "                                   np.concatenate([np.zeros((N-1,1)),np.diag(np.ones(N-1)*-1)],axis=1)))\n",
    "h=cvxopt.matrix(np.zeros(N-1))\n",
    "cvxopt.solvers.options['show_progress'] = False\n",
    "cvxopt.solvers.options['abstol'] = 1e-10\n",
    "cvxopt.solvers.options['reltol'] = 1e-10\n",
    "cvxopt.solvers.options['feastol'] = 1e-10\n",
    "beta=np.array(cvxopt.solvers.qp(Q, p, G, h)['x']).flatten()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "w=np.zeros(2)\n",
    "x_mean=np.mean(x)\n",
    "y_mean=np.mean(y)\n",
    "x2_mean=np.mean(x**2)\n",
    "xy_mean=np.mean(x*y)\n",
    "a=1\n",
    "for t in range(0,100):\n",
    "    w[0]=w[0]-a*(w[0]+w[1]*x_mean-y_mean)\n",
    "    w[1]=w[1]-a*(w[0]*x_mean+w[1]*x2_mean-xy_mean)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot Together"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x1296 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (18,18)\n",
    "plt.plot(x,y,\"ko\",markersize=12)\n",
    "plt.plot([0,1],[w[0],w[1]+w[0]],\"r-\",linewidth=6,label=\"linear regression\")\n",
    "plt.plot(np.sort(x),beta,\"b-\",linewidth=6,label=\"isotonic regression\")\n",
    "plt.xticks(fontsize=30)\n",
    "plt.yticks(fontsize=30)\n",
    "plt.legend(fontsize=30)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Apply on Ensemble Voting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x1296 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=np.zeros((100,2))\n",
    "y=np.zeros(100)\n",
    "for i in range(0,100): \n",
    "    f=-0.1\n",
    "    if(i<50):\n",
    "        y[i]=1\n",
    "        x[i,0]=random.random()\n",
    "        x[i,1]=random.uniform(x[i,0],1)\n",
    "    else:\n",
    "        y[i]=-1\n",
    "        x[i,0]=random.random()\n",
    "        x[i,1]=random.uniform(0,x[i,0])-f\n",
    "plt.rcParams[\"figure.figsize\"] = (18,18)\n",
    "plt.plot(x[:50,0],x[:50,1],\"bo\",markersize=20)\n",
    "plt.plot(x[50:,0],x[50:,1],\"rX\",markersize=20)\n",
    "plt.xticks(fontsize=30)\n",
    "plt.yticks(fontsize=30)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Polynomial Kernel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Polynomial_kernel(x,xx,power,gamma,zeta):\n",
    "    return (zeta+gamma*np.dot(x,xx.T))**power"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Support Vector Machine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def SVM(x,y,c,CC,gamma,zeta,N):\n",
    "    Q = cvxopt.matrix((np.outer(y,y) * Polynomial_kernel(x,x,c,gamma,zeta)))\n",
    "    p = cvxopt.matrix(np.ones(N)*-1.,(N,1))\n",
    "    G = cvxopt.matrix(np.concatenate([np.diag(np.ones(N)* 1.),np.diag(np.ones(N)* -1.)])) \n",
    "    h = cvxopt.matrix(np.concatenate([CC*np.ones(N),np.zeros(N)]))\n",
    "    A = cvxopt.matrix(y,(1,N))\n",
    "    b = cvxopt.matrix(0.0)\n",
    "    cvxopt.solvers.options['show_progress'] = False\n",
    "    cvxopt.solvers.options['abstol'] = 1e-10\n",
    "    cvxopt.solvers.options['reltol'] = 1e-10\n",
    "    cvxopt.solvers.options['feastol'] = 1e-10\n",
    "    a=np.array(cvxopt.solvers.qp(Q, p, G, h, A, b)['x']).flatten()\n",
    "    SV=[]\n",
    "    for i in range(0,N):\n",
    "        if(a[i]>1e-6):\n",
    "            SV.append(i)\n",
    "    for sv in SV:\n",
    "        if(y[sv]==1):\n",
    "            s_u=sv\n",
    "            break\n",
    "    Com=0\n",
    "    for i in range(0,N):\n",
    "        Com+=y[i]*a[i]*Polynomial_kernel(x[i,:],x[s_u,:],c,gamma,zeta)\n",
    "    b_u=y[s_u]-Com\n",
    "    for sv in SV:\n",
    "        if(y[sv]==-1):\n",
    "            s_l=sv\n",
    "            break\n",
    "    Com=0\n",
    "    for i in range(0,N):\n",
    "        Com+=y[i]*a[i]*Polynomial_kernel(x[i,:],x[s_l,:],c,gamma,zeta)\n",
    "    b_l=y[s_l]-Com\n",
    "    return a,(b_u+b_l)/2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Isotonic Regression Fitting "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def isotonic(f,y):\n",
    "    N=len(y)\n",
    "    Q = cvxopt.matrix(np.diag(np.ones(N)))\n",
    "    p = cvxopt.matrix(-y[np.argsort(f)])\n",
    "    G = cvxopt.matrix((np.concatenate([np.diag(np.ones(N-1)),np.zeros((N-1,1))],axis=1)+\n",
    "                       np.concatenate([np.zeros((N-1,1)),np.diag(np.ones(N-1)*-1)],axis=1)))\n",
    "    h=cvxopt.matrix(np.zeros(N-1))\n",
    "    cvxopt.solvers.options['show_progress'] = False\n",
    "    cvxopt.solvers.options['abstol'] = 1e-10\n",
    "    cvxopt.solvers.options['reltol'] = 1e-10\n",
    "    cvxopt.solvers.options['feastol'] = 1e-10\n",
    "    beta=np.array(cvxopt.solvers.qp(Q, p, G, h)['x']).flatten()\n",
    "    return beta,np.argsort(f)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Using SVM as an Example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 9.99999638e-01  1.00000110e+00  9.99997818e-01  1.00000080e+00\n",
      "  9.99994705e-01  9.99999349e-01  9.99999925e-01  5.00000000e-01\n",
      "  9.99993960e-01  9.99997476e-01  5.00000000e-01  1.00000173e+00\n",
      "  8.75000000e-01  8.75000000e-01  1.00000531e+00  9.99995316e-01\n",
      "  5.00000000e-01  1.00000893e+00  1.00000613e+00  9.99988474e-01\n",
      "  9.99991512e-01  1.00000021e+00  5.00000000e-01  1.00000050e+00\n",
      "  1.00000279e+00  9.99998761e-01  8.75000000e-01  9.99999058e-01\n",
      "  1.00001226e+00  8.75000000e-01  8.75000000e-01  9.99992981e-01\n",
      "  1.00000141e+00  8.75000000e-01 -3.58170335e-08  1.00000206e+00\n",
      " -7.03653171e-06  1.00000411e+00  1.00000241e+00  8.75000000e-01\n",
      "  9.99997115e-01  5.00000000e-01  1.00000319e+00  9.99996727e-01\n",
      "  9.99996306e-01  1.00000362e+00  1.00000466e+00  5.00000000e-01\n",
      "  1.25128530e-06  9.99998144e-01 -3.33432089e-06  9.99998457e-01\n",
      "  1.53846154e-01  9.99995841e-01  1.00000724e+00 -1.21234049e-05\n",
      " -2.46247321e-06 -6.79024786e-07  6.86621201e-06  3.53357510e-06\n",
      " -3.83498910e-06 -1.70199150e-06  8.75000000e-01 -4.40196293e-06\n",
      "  2.82221037e-07 -2.88074262e-06 -1.00932136e-06  1.53846154e-01\n",
      "  1.53846154e-01  5.00000000e-01 -8.75508832e-06  1.53846154e-01\n",
      " -3.55405528e-07  8.14484567e-06  4.56004141e-06 -1.34920921e-06\n",
      "  1.53846154e-01  1.53846154e-01  2.68324781e-06  1.53846154e-01\n",
      "  1.53846154e-01  1.53846154e-01  1.53846154e-01  5.92795582e-06\n",
      "  1.58786498e-06  4.01792574e-06  1.53846154e-01  2.29980306e-06\n",
      "  1.01146182e-05 -5.06969305e-06 -5.90417457e-06 -2.07152513e-06\n",
      "  9.23290256e-07  5.00000000e-01  6.01115313e-07  1.93615245e-06\n",
      "  1.53846154e-01  1.53846154e-01  3.09206283e-06  5.18344806e-06]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x1296 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "c=5\n",
    "CC=100\n",
    "gamma,zeta=1,1\n",
    "a,b=SVM(x,y,c,CC,gamma,zeta,N)\n",
    "f=np.dot(Polynomial_kernel(x,x,c,gamma,zeta),a*y)+b\n",
    "t=np.ones(N)\n",
    "t[50:]=np.zeros(50)\n",
    "beta,index=isotonic(f,t)\n",
    "print(beta[index])\n",
    "plt.rcParams[\"figure.figsize\"] = (18,18)\n",
    "plt.plot(np.sort(f),beta,\"k-\",linewidth=6)\n",
    "for i in range(0,N):\n",
    "    if(t[index[i]]==1):\n",
    "        if(beta[i]>0.5):\n",
    "            plt.plot(f[index[i]],t[index[i]],\"bo\",markersize=12)\n",
    "        else:\n",
    "            plt.plot(f[index[i]],t[index[i]],\"ro\",markersize=12)\n",
    "    else:\n",
    "        if(beta[i]<0.5):\n",
    "            plt.plot(f[index[i]],t[index[i]],\"bo\",markersize=12)\n",
    "        else:\n",
    "            plt.plot(f[index[i]],t[index[i]],\"ro\",markersize=12)\n",
    "plt.xticks(fontsize=30)\n",
    "plt.yticks(fontsize=30)\n",
    "plt.show()"
   ]
  },
  {
   "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": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}