{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## OT mapping estimation for domain adaptation" ] }, { "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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dataset generation" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "np.random.seed(0) # makes example reproducible\n", "\n", "n=100 # nb samples in source and target datasets\n", "theta=2*np.pi/20\n", "nz=0.1\n", "xs,ys=ot.datasets.get_data_classif('gaussrot',n,nz=nz)\n", "xt,yt=ot.datasets.get_data_classif('gaussrot',n,theta=theta,nz=nz)\n", "\n", "# one of the target mode changes its variance (no linear mapping)\n", "xt[yt==2]*=3\n", "xt=xt+4\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### Plot source and target datasets" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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iSpWq5M+fn0KFClGiRClWrVrllOfw4cOEhYVx8+bNDKqlEEI82KRHVAjxwLp2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.figure(1,(8,5))\n", "pl.clf()\n", "\n", "pl.scatter(xs[:,0],xs[:,1],c=ys,marker='+',label='Source samples')\n", "pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples')\n", "\n", "pl.legend(loc=0)\n", "pl.title('Source and target distributions')\n", "pl.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### OT linear mapping estimation" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "It. |Loss |Delta loss\n", "--------------------------------\n", " 0|4.009366e+03|0.000000e+00\n", " 1|3.999933e+03|-2.352753e-03\n", " 2|3.999520e+03|-1.031984e-04\n", " 3|3.999362e+03|-3.936391e-05\n", " 4|3.999281e+03|-2.032868e-05\n", " 5|3.999238e+03|-1.083083e-05\n", " 6|3.999229e+03|-2.125291e-06\n" ] } ], "source": [ "\n", "eta=1e-8 # quadratic regularization for regression\n", "mu=1e0 # weight of the OT linear term\n", "bias=True # estimate a bias\n", "\n", "ot_mapping=ot.da.OTDA_mapping_linear()\n", "ot_mapping.fit(xs,xt,mu=mu,eta=eta,bias=bias,numItermax = 20,verbose=True)\n", "\n", "xst=ot_mapping.predict(xs) # use the estimated mapping\n", "xst0=ot_mapping.interp() # use barycentric mapping\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### OT kernel mapping estimation" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "It. |Loss |Delta loss\n", "--------------------------------\n", " 0|4.026411e+02|0.000000e+00\n", " 1|3.991051e+02|-8.782091e-03\n", " 2|3.987950e+02|-7.769290e-04\n", " 3|3.986577e+02|-3.442631e-04\n", " 4|3.985741e+02|-2.096899e-04\n", " 5|3.985159e+02|-1.460105e-04\n", " 6|3.984729e+02|-1.078536e-04\n", " 7|3.984436e+02|-7.368218e-05\n", " 8|3.984214e+02|-5.574123e-05\n", " 9|3.984025e+02|-4.740267e-05\n", " 10|3.983871e+02|-3.865975e-05\n", " 11|3.983744e+02|-3.175451e-05\n", " 12|3.983642e+02|-2.561334e-05\n", " 13|3.983558e+02|-2.116042e-05\n", " 14|3.983479e+02|-1.982104e-05\n", " 15|3.983413e+02|-1.643931e-05\n", " 16|3.983351e+02|-1.567880e-05\n", " 17|3.983296e+02|-1.366612e-05\n", " 18|3.983270e+02|-6.571092e-06\n" ] } ], "source": [ "\n", "eta=1e-5 # quadratic regularization for regression\n", "mu=1e-1 # weight of the OT linear term\n", "bias=True # estimate a bias\n", "sigma=1 # sigma bandwidth fot gaussian kernel\n", "\n", "\n", "ot_mapping_kernel=ot.da.OTDA_mapping_kernel()\n", "ot_mapping_kernel.fit(xs,xt,mu=mu,eta=eta,sigma=sigma,bias=bias,numItermax = 20,verbose=True)\n", "\n", "xst_kernel=ot_mapping_kernel.predict(xs) # use the estimated mapping\n", "xst0_kernel=ot_mapping_kernel.interp() # use barycentric mapping" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting the mapped samples" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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hYQF5eWn4+3uZyUopOXs2FWfnQNzdte/s7e0JCmrIpUuCS5cuXadalWTJkiW0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\nCgpqdHC4a2LZsmXodDp0Oh1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cuHAGDWpOVFQiY8euY/HigXTqFGx1g2uFQnHzoQwZrm6+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dPaytjMDNVaDe3S57+Qy6HodOtKUHeLWq1uRMmWqdfrjN64Qeittwh985sE3/tePAMDDAwNrZOC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mOfNDCCHElqirq0NRFIaHx0kmg9hseg4dapd9m0KITSWJzA7gcrk4ftxFLpdDo9HIGTJCCCG2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\nLFrOnKHt4EHM+aUCiqIwOzeHp6Wl5O+LJEnSfpBOp7ly+TIhrxc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "pl.figure(2,(10,7))\n", "pl.clf()\n", "pl.subplot(2,2,1)\n", "pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples',alpha=.2)\n", "pl.scatter(xst0[:,0],xst0[:,1],c=ys,marker='+',label='Mapped source samples')\n", "pl.title(\"Bary. mapping (linear)\")\n", "pl.legend(loc=0)\n", "\n", "pl.subplot(2,2,2)\n", "pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples',alpha=.2)\n", "pl.scatter(xst[:,0],xst[:,1],c=ys,marker='+',label='Learned mapping')\n", "pl.title(\"Estim. mapping (linear)\")\n", "\n", "pl.subplot(2,2,3)\n", "pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples',alpha=.2)\n", "pl.scatter(xst0_kernel[:,0],xst0_kernel[:,1],c=ys,marker='+',label='barycentric mapping')\n", "pl.title(\"Bary. mapping (kernel)\")\n", "\n", "pl.subplot(2,2,4)\n", "pl.scatter(xt[:,0],xt[:,1],c=yt,marker='o',label='Target samples',alpha=.2)\n", "pl.scatter(xst_kernel[:,0],xst_kernel[:,1],c=ys,marker='+',label='Learned mapping')\n", "pl.title(\"Estim. mapping (kernel)\")\n", "\n", "pl.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Barycentric mapping on the left, estimated mapping on the right. We can see that the change \n", "in variance of the mode do not allow for a good linear mapping. In this case the kernel \n", "mapping (lower right) allows for a far better estimation\n" ] }, { "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": 1 }