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authorRémi Flamary <remi.flamary@gmail.com>2017-07-03 17:08:55 +0200
committerRémi Flamary <remi.flamary@gmail.com>2017-07-03 17:08:55 +0200
commit5345d1e51fa1c9320bbdf1218a29c81d4a8d411c (patch)
tree933bbc52d260065bc29a27cbf2017f4f5c7215e3 /examples
parent3ba85d6c8a1dac2722c5f51d4b2c49e3ed2ebd0f (diff)
add notebooks
Diffstat (limited to 'examples')
-rw-r--r--examples/Demo_Compute_EMD.ipynb167
-rw-r--r--examples/Demo_Ground_Loss.ipynb345
-rw-r--r--examples/Demo_Wasserstein_Discriminant_Analysis.ipynb210
3 files changed, 722 insertions, 0 deletions
diff --git a/examples/Demo_Compute_EMD.ipynb b/examples/Demo_Compute_EMD.ipynb
new file mode 100644
index 0000000..cda9a59
--- /dev/null
+++ b/examples/Demo_Compute_EMD.ipynb
@@ -0,0 +1,167 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Compute and plot EMD"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": true
+ },
+ "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"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Generate data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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hNBIul9UsM2GCdQ9CY9KtG3TtaiUswzAuXSYhNBKbN8PJk42vuQis/ozJk+Hrr6GgoKFr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YVw/XwGT5zA2ea94O/tMtPpdLHWaKLuYhfWfm/u/q6iFgbsLlalm6g6fQK7RYGXX/QxksuGO+0W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\n7yOw6hNkxFBWLpzE863vEdWjXDfmOm4cf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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f2b0307b850>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "\n",
+ "n=100 # nb bins\n",
+ "n_target=25 # nb target distributions\n",
+ "\n",
+ "\n",
+ "# bin positions\n",
+ "x=np.arange(n,dtype=np.float64)\n",
+ "\n",
+ "lst_m=np.linspace(20,90,n_target)\n",
+ "\n",
+ "# Gaussian distributions\n",
+ "a=gauss(n,m=20,s=5) # m= mean, s= std\n",
+ "\n",
+ "B=np.zeros((n,n_target))\n",
+ "\n",
+ "for i,m in enumerate(lst_m):\n",
+ " B[:,i]=gauss(n,m=m,s=5)\n",
+ " \n",
+ "\n",
+ "# loss matrix and normalization\n",
+ "M=ot.dist(x.reshape((n,1)),x.reshape((n,1)),'euclidean')\n",
+ "M/=M.max()\n",
+ "\n",
+ "\n",
+ "M2=ot.dist(x.reshape((n,1)),x.reshape((n,1)),'sqeuclidean')\n",
+ "M2/=M2.max()\n",
+ "\n",
+ "\n",
+ "# plot the distributions\n",
+ "\n",
+ "pl.figure(1)\n",
+ "pl.subplot(2,1,1)\n",
+ "pl.plot(x,a,'b',label='Source distribution')\n",
+ "pl.xticks([])\n",
+ "pl.title('Source distribution')\n",
+ "pl.subplot(2,1,2)\n",
+ "pl.plot(x,B,label='Target distributions')\n",
+ "pl.title('Target distributions')\n",
+ "pl.show() "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Compute EMD and sinkhorn distances "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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8atatW9dYjC2l7HJYWBj29vaMHTsWR0dHunfvnuHO2aSkJEaNGsX06dONj2VW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\n7tz7ex5PNrEisNTLMmfdTGSY1jjjCFA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ojtq+wNvX5jleWiYPd2M1JTpzhdyZ11iwNsZk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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f2b49fa7650>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "\n",
+ "d_emd=ot.emd2(a,B,M) # direct computation of EMD\n",
+ "d_emd2=ot.emd2(a,B,M2) # direct computation of EMD with loss M2\n",
+ "\n",
+ "reg=1e-2\n",
+ "d_sinkhorn=ot.sinkhorn(a,B,M,reg) # sinkhorn returns a list of distance if B is a matrix\n",
+ "d_sinkhorn2=ot.sinkhorn(a,B,M2,reg)\n",
+ "\n",
+ "pl.figure(2)\n",
+ "pl.clf()\n",
+ "pl.plot(d_emd,label='Euclidean EMD')\n",
+ "pl.plot(d_emd2,label='Squared Euclidean EMD')\n",
+ "pl.plot(d_sinkhorn,'+',label='Euclidean Sinkhorn')\n",
+ "pl.plot(d_sinkhorn2,'+',label='Squared Euclidean Sinkhorn')\n",
+ "pl.title('EMD distances')\n",
+ "pl.legend()\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
+}
diff --git a/examples/Demo_Ground_Loss.ipynb b/examples/Demo_Ground_Loss.ipynb
new file mode 100644
index 0000000..a39a07f
--- /dev/null
+++ b/examples/Demo_Ground_Loss.ipynb
@@ -0,0 +1,345 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Choice of the ground loss\n",
+ "\n",
+ "Data from [Fig. 1 and 2 in here](https://arxiv.org/pdf/1706.07650.pdf)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Dataset 1"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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5a2b3A4OBNsBHBFfqPA48BHQC3gfGuPsmMysHJrn7ReFzLwCuCjd1rbv/sa76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\npMAo8IuIFJj/D5MawVJJMT1lAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f45b625d1d0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "n=20 # nb samples\n",
+ "xs=np.zeros((n,2))\n",
+ "xs[:,0]=np.arange(n)+1\n",
+ "xs[:,1]=(np.arange(n)+1)*-0.001 # to make it strictly convex...\n",
+ "\n",
+ "xt=np.zeros((n,2))\n",
+ "xt[:,1]=np.arange(n)+1\n",
+ "a,b = ot.unif(n),ot.unif(n) # uniform distribution on samples\n",
+ "\n",
+ "pl.figure(1)\n",
+ "pl.clf()\n",
+ "pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')\n",
+ "pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "pl.title('Source and traget distributions')\n",
+ "pl.legend()\n",
+ "pl.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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JmhXzSdIiMpskzcTU79Bt8XTgNTtc9+iIeA/wSeCFmfmB7Yoi4nzgfIDB2mkc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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f45b402cb50>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# loss matrix\n",
+ "M1=ot.dist(xs,xt,metric='euclidean')\n",
+ "M1/=M1.max()\n",
+ "\n",
+ "# loss matrix\n",
+ "M2=ot.dist(xs,xt,metric='sqeuclidean')\n",
+ "M2/=M2.max()\n",
+ "\n",
+ "# loss matrix\n",
+ "Mp=np.sqrt(ot.dist(xs,xt,metric='euclidean'))\n",
+ "Mp/=Mp.max()\n",
+ "\n",
+ "pl.figure(2,(15,5))\n",
+ "pl.subplot(1,3,1)\n",
+ "pl.imshow(M1,interpolation='nearest')\n",
+ "pl.title('Eucidean cost')\n",
+ "pl.subplot(1,3,2)\n",
+ "pl.imshow(M2,interpolation='nearest')\n",
+ "pl.title('Squared Euclidean cost')\n",
+ "\n",
+ "pl.subplot(1,3,3)\n",
+ "pl.imshow(Mp,interpolation='nearest')\n",
+ "pl.title('Sqrt Euclidean cost')\n",
+ "pl.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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SjykpKqxxNUgispTDgUOnCuGhxOdRsfHzwJqPPJbEJiIKCYcDGRJIf+1f+GdWKmqtm2lY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\nRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f45b3cefb50>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "\n",
+ " \n",
+ "G1=ot.emd(a,b,M1)\n",
+ "G2=ot.emd(a,b,M2)\n",
+ "Gp=ot.emd(a,b,Mp)\n",
+ "\n",
+ "pl.figure(3,(15,5))\n",
+ "\n",
+ "pl.subplot(1,3,1)\n",
+ "ot.plot.plot2D_samples_mat(xs,xt,G1,c=[.5,.5,1])\n",
+ "pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')\n",
+ "pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "#pl.legend(loc=0)\n",
+ "pl.title('OT Euclidean')\n",
+ "\n",
+ "pl.subplot(1,3,2)\n",
+ "\n",
+ "ot.plot.plot2D_samples_mat(xs,xt,G2,c=[.5,.5,1])\n",
+ "pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')\n",
+ "pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "#pl.legend(loc=0)\n",
+ "pl.title('OT squared Euclidean')\n",
+ "\n",
+ "pl.subplot(1,3,3)\n",
+ "\n",
+ "ot.plot.plot2D_samples_mat(xs,xt,Gp,c=[.5,.5,1])\n",
+ "pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')\n",
+ "pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "#pl.legend(loc=0)\n",
+ "pl.title('OT sqrt Euclidean')\n",
+ "pl.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Dataset 2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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3l2bcA0N+cYnBSlfvt/Cyq31cCrAmKBoYRu2VFBFHRMQbhlmuGO21yeZ00x+y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\ngc+fCgAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f45b3d83750>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "n=50 # nb samples\n",
+ "xtot=np.zeros((n+1,2))\n",
+ "xtot[:,0]=np.cos((np.arange(n+1)+1.0)*0.9/(n+2)*2*np.pi+.06*np.pi)\n",
+ "xtot[:,1]=np.sin((np.arange(n+1)+1.0)*0.9/(n+2)*2*np.pi+.06*np.pi)\n",
+ "\n",
+ "xs=xtot[:n,:]\n",
+ "xt=xtot[1:,:]\n",
+ "\n",
+ "a,b = ot.unif(n),ot.unif(n) # uniform distribution on samples\n",
+ "\n",
+ "pl.figure(1)\n",
+ "pl.clf()\n",
+ "pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')\n",
+ "pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "pl.title('Source and traget distributions')\n",
+ "pl.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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AAACJoaMGAAAAAImhowYAAAAAiaGjBgAAAACJGWmYyJR1tXOmv2HW9QSMxPZj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\nGDpqAAAAAJCY/w9AeMfgS1/AXwAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f45b36bca10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# loss matrix\n",
+ "M1=ot.dist(xs,xt,metric='euclidean')\n",
+ "M1/=M1.max()\n",
+ "\n",
+ "# loss matrix\n",
+ "M2=ot.dist(xs,xt,metric='sqeuclidean')\n",
+ "M2/=M2.max()\n",
+ "\n",
+ "# loss matrix\n",
+ "Mp=np.sqrt(ot.dist(xs,xt,metric='euclidean'))\n",
+ "Mp/=Mp.max()\n",
+ "\n",
+ "pl.figure(2,(15,5))\n",
+ "pl.subplot(1,3,1)\n",
+ "pl.imshow(M1,interpolation='nearest')\n",
+ "pl.title('Eucidean cost')\n",
+ "pl.subplot(1,3,2)\n",
+ "pl.imshow(M2,interpolation='nearest')\n",
+ "pl.title('Squared Euclidean cost')\n",
+ "\n",
+ "pl.subplot(1,3,3)\n",
+ "pl.imshow(Mp,interpolation='nearest')\n",
+ "pl.title('Sqrt Euclidean cost')\n",
+ "pl.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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woWJvBcTKmluyWv3ZtM5c3qjZdR0ysonaCYiCiNRN5Thi95Kk/L1IO+RuG+Du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\nO4vGAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f45b34e2d90>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ " \n",
+ "G1=ot.emd(a,b,M1)\n",
+ "G2=ot.emd(a,b,M2)\n",
+ "Gp=ot.emd(a,b,Mp)\n",
+ "\n",
+ "pl.figure(3,(15,5))\n",
+ "\n",
+ "pl.subplot(1,3,1)\n",
+ "ot.plot.plot2D_samples_mat(xs,xt,G1,c=[.5,.5,1])\n",
+ "pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')\n",
+ "pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "#pl.legend(loc=0)\n",
+ "pl.title('OT Euclidean')\n",
+ "\n",
+ "pl.subplot(1,3,2)\n",
+ "\n",
+ "ot.plot.plot2D_samples_mat(xs,xt,G2,c=[.5,.5,1])\n",
+ "pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')\n",
+ "pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "#pl.legend(loc=0)\n",
+ "pl.title('OT squared Euclidean')\n",
+ "\n",
+ "pl.subplot(1,3,3)\n",
+ "\n",
+ "ot.plot.plot2D_samples_mat(xs,xt,Gp,c=[.5,.5,1])\n",
+ "pl.plot(xs[:,0],xs[:,1],'+b',label='Source samples')\n",
+ "pl.plot(xt[:,0],xt[:,1],'xr',label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "#pl.legend(loc=0)\n",
+ "pl.title('OT sqrt Euclidean')\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
+}
diff --git a/examples/Demo_Wasserstein_Discriminant_Analysis.ipynb b/examples/Demo_Wasserstein_Discriminant_Analysis.ipynb
new file mode 100644
index 0000000..fb36289
--- /dev/null
+++ b/examples/Demo_Wasserstein_Discriminant_Analysis.ipynb
@@ -0,0 +1,210 @@
+{
+ "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": 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VUrlxjS6s70fSQnzFo/S99rG/3psWPuUjR1mCKJzBqr3IXm0zbXRx3OcDPI1g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fAAAg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\nj0tKSujq6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+ "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": 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X5tTEGOkPWaGekSyMtFEVJfJiikPXwEmrVAm9tzfs3b22rIe9DnsZEkKGR7Am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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
+}