summaryrefslogtreecommitdiff
path: root/examples/Demo_Wasserstein_Discriminant_Analysis.ipynb
blob: fb362897029477c1219abb5268fb2a27538be87c (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Demonstration of Wasserstein Discriminant Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pylab as pl\n",
    "import ot\n",
    "from ot.datasets import get_1D_gauss as gauss\n",
    "from ot.dr import wda"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Generate dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "n=1000 # nb samples in source and target datasets\n",
    "nz=0.2\n",
    "xs,ys=ot.datasets.get_data_classif('3gauss',n,nz)\n",
    "xt,yt=ot.datasets.get_data_classif('3gauss',n,nz)\n",
    "\n",
    "nbnoise=8\n",
    "\n",
    "xs=np.hstack((xs,np.random.randn(n,nbnoise)))\n",
    "xt=np.hstack((xt,np.random.randn(n,nbnoise)))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAl8AAAE/CAYAAAB4o6baAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f713e4eea50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pl.figure(1,(10,5))\n",
    "\n",
    "pl.subplot(1,2,1)\n",
    "pl.scatter(xt[:,0],xt[:,1],c=ys,marker='+',label='Source samples')\n",
    "pl.legend(loc=0)\n",
    "pl.title('Discriminant dimensions')\n",
    "\n",
    "pl.subplot(1,2,2)\n",
    "pl.scatter(xt[:,2],xt[:,3],c=ys,marker='+',label='Source samples')\n",
    "pl.legend(loc=0)\n",
    "pl.title('Other dimensions')\n",
    "pl.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Compute WDA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Compiling cost function...\n",
      "Computing gradient of cost function...\n",
      " iter\t\t   cost val\t    grad. norm\n",
      "    1\t+3.9157922235693188e-01\t5.71597367e-01\n",
      "    2\t+1.3819067207672747e-01\t1.45380541e-01\n",
      "    3\t+1.3514783259634658e-01\t1.56401980e-01\n",
      "    4\t+1.2366637320576453e-01\t1.39774670e-01\n",
      "    5\t+8.7917719796676133e-02\t1.02114467e-01\n",
      "    6\t+8.4889100715160537e-02\t1.00158402e-01\n",
      "    7\t+7.4573884583769998e-02\t6.88332229e-02\n",
      "    8\t+7.1655335462508282e-02\t5.32376275e-02\n",
      "    9\t+7.0479018645171101e-02\t4.37283221e-02\n",
      "   10\t+6.8400612315063808e-02\t6.65409711e-03\n",
      "   11\t+6.8364466366572729e-02\t2.96611209e-03\n",
      "   12\t+6.8355577537242695e-02\t8.64992482e-05\n",
      "   13\t+6.8355570205523991e-02\t1.40803543e-05\n",
      "   14\t+6.8355570014368830e-02\t2.34884058e-06\n",
      "   15\t+6.8355570008960018e-02\t2.23203146e-07\n",
      "Terminated - min grad norm reached after 15 iterations, 7.87 seconds.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "p=2\n",
    "reg=1\n",
    "k=10\n",
    "maxiter=100\n",
    "\n",
    "P,proj = wda(xs,ys,p,reg,k,maxiter=maxiter)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Project and plot samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlUAAAE/CAYAAABvgTYTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nlCmvv568KwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f713e507c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# data projection (also removes center)\n",
    "xsp=proj(xs)\n",
    "xtp=proj(xt)\n",
    "\n",
    "pl.figure(1,(10,5))\n",
    "\n",
    "pl.subplot(1,2,1)\n",
    "pl.scatter(xsp[:,0],xsp[:,1],c=ys,marker='+',label='Projected samples')\n",
    "pl.legend(loc=0)\n",
    "pl.title('Projected training samples')\n",
    "\n",
    "\n",
    "pl.subplot(1,2,2)\n",
    "pl.scatter(xtp[:,0],xtp[:,1],c=ys,marker='+',label='Projected samples')\n",
    "pl.legend(loc=0)\n",
    "pl.title('Projected test samples')\n",
    "pl.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}