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authorRémi Flamary <remi.flamary@gmail.com>2017-09-01 18:42:52 +0200
committerRémi Flamary <remi.flamary@gmail.com>2017-09-01 18:42:52 +0200
commite70313cb2eef5d889532eb004de0eb7361d616e6 (patch)
tree671e891ab385f028fdc9ac445f9a2fbc341a7097 /notebooks/plot_otda_classes.ipynb
parent98ae0808417d0f82e761f85265e8dcfa9ebe7e5f (diff)
add converted notebooks
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+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# OT for domain adaptation\n",
+ "\n",
+ "\n",
+ "This example introduces a domain adaptation in a 2D setting and the 4 OTDA\n",
+ "approaches currently supported in POT.\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Authors: Remi Flamary <remi.flamary@unice.fr>\n",
+ "# Stanislas Chambon <stan.chambon@gmail.com>\n",
+ "#\n",
+ "# License: MIT License\n",
+ "\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate data\n",
+ "-------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "n_source_samples = 150\n",
+ "n_target_samples = 150\n",
+ "\n",
+ "Xs, ys = ot.datasets.get_data_classif('3gauss', n_source_samples)\n",
+ "Xt, yt = ot.datasets.get_data_classif('3gauss2', n_target_samples)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Instantiate the different transport algorithms and fit them\n",
+ "-----------------------------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 0|1.017912e+01|0.000000e+00\n",
+ " 1|2.096083e+00|-3.856258e+00\n",
+ " 2|1.842979e+00|-1.373343e-01\n",
+ " 3|1.781632e+00|-3.443301e-02\n",
+ " 4|1.760919e+00|-1.176281e-02\n",
+ " 5|1.750958e+00|-5.688541e-03\n",
+ " 6|1.746386e+00|-2.618021e-03\n",
+ " 7|1.741793e+00|-2.636854e-03\n",
+ " 8|1.739054e+00|-1.575065e-03\n",
+ " 9|1.736474e+00|-1.486027e-03\n",
+ " 10|1.734361e+00|-1.218441e-03\n",
+ " 11|1.734259e+00|-5.863179e-05\n",
+ " 12|1.733704e+00|-3.201643e-04\n",
+ " 13|1.733018e+00|-3.957711e-04\n",
+ " 14|1.731842e+00|-6.791025e-04\n",
+ " 15|1.730974e+00|-5.012271e-04\n",
+ " 16|1.730584e+00|-2.257722e-04\n",
+ " 17|1.730492e+00|-5.272976e-05\n",
+ " 18|1.730153e+00|-1.961758e-04\n",
+ " 19|1.729837e+00|-1.828284e-04\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 20|1.729361e+00|-2.749072e-04\n"
+ ]
+ }
+ ],
+ "source": [
+ "# EMD Transport\n",
+ "ot_emd = ot.da.EMDTransport()\n",
+ "ot_emd.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "# Sinkhorn Transport\n",
+ "ot_sinkhorn = ot.da.SinkhornTransport(reg_e=1e-1)\n",
+ "ot_sinkhorn.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "# Sinkhorn Transport with Group lasso regularization\n",
+ "ot_lpl1 = ot.da.SinkhornLpl1Transport(reg_e=1e-1, reg_cl=1e0)\n",
+ "ot_lpl1.fit(Xs=Xs, ys=ys, Xt=Xt)\n",
+ "\n",
+ "# Sinkhorn Transport with Group lasso regularization l1l2\n",
+ "ot_l1l2 = ot.da.SinkhornL1l2Transport(reg_e=1e-1, reg_cl=2e0, max_iter=20,\n",
+ " verbose=True)\n",
+ "ot_l1l2.fit(Xs=Xs, ys=ys, Xt=Xt)\n",
+ "\n",
+ "# transport source samples onto target samples\n",
+ "transp_Xs_emd = ot_emd.transform(Xs=Xs)\n",
+ "transp_Xs_sinkhorn = ot_sinkhorn.transform(Xs=Xs)\n",
+ "transp_Xs_lpl1 = ot_lpl1.transform(Xs=Xs)\n",
+ "transp_Xs_l1l2 = ot_l1l2.transform(Xs=Xs)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Fig 1 : plots source and target samples\n",
+ "---------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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bhBX799X5fKcKC7l84TyyHYV4EHC7WXckFdbD+NN7Bipsvyb16s2H11zHm1s3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\n3c2/GSgWjfHgheNT5wfXh3nw309y3cSLG445HA7+cPCO/OHgxFbHV4+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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fdef9077e48>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pl.figure(1, figsize=(10, 5))\n",
+ "pl.subplot(1, 2, 1)\n",
+ "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Source samples')\n",
+ "\n",
+ "pl.subplot(1, 2, 2)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Target samples')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Fig 2 : plot optimal couplings and transported samples\n",
+ "------------------------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/home/rflamary/.local/lib/python3.5/site-packages/matplotlib/cbook.py:136: MatplotlibDeprecationWarning: The spectral and spectral_r colormap was deprecated in version 2.0. Use nipy_spectral and nipy_spectral_r instead.\n",
+ " warnings.warn(message, mplDeprecation, stacklevel=1)\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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KLor601Yv0Hs6f+MpDonqAb+iHY0z7mW8r3MalwPp4414/ww1ty7nHQDa0z7S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GyVy+hCNrDFZsAmNrewcXrVnHsz1nKKXeym2ZLNdu2jzpsxd0r2FTSyvXb92GJ8KzZ07z/SNH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ozTisMVNlxeB017UwQbO1BtKgWl+Zl4YXdZmyKpuLVoyS/xM+/qORkxvr2baskv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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fdef6f3c3c8>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "param_img = {'interpolation': 'nearest', 'cmap': 'spectral'}\n",
+ "\n",
+ "pl.figure(2, figsize=(15, 8))\n",
+ "pl.subplot(2, 4, 1)\n",
+ "pl.imshow(ot_emd.coupling_, **param_img)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Optimal coupling\\nEMDTransport')\n",
+ "\n",
+ "pl.subplot(2, 4, 2)\n",
+ "pl.imshow(ot_sinkhorn.coupling_, **param_img)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Optimal coupling\\nSinkhornTransport')\n",
+ "\n",
+ "pl.subplot(2, 4, 3)\n",
+ "pl.imshow(ot_lpl1.coupling_, **param_img)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Optimal coupling\\nSinkhornLpl1Transport')\n",
+ "\n",
+ "pl.subplot(2, 4, 4)\n",
+ "pl.imshow(ot_l1l2.coupling_, **param_img)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Optimal coupling\\nSinkhornL1l2Transport')\n",
+ "\n",
+ "pl.subplot(2, 4, 5)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=0.3)\n",
+ "pl.scatter(transp_Xs_emd[:, 0], transp_Xs_emd[:, 1], c=ys,\n",
+ " marker='+', label='Transp samples', s=30)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Transported samples\\nEmdTransport')\n",
+ "pl.legend(loc=\"lower left\")\n",
+ "\n",
+ "pl.subplot(2, 4, 6)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=0.3)\n",
+ "pl.scatter(transp_Xs_sinkhorn[:, 0], transp_Xs_sinkhorn[:, 1], c=ys,\n",
+ " marker='+', label='Transp samples', s=30)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Transported samples\\nSinkhornTransport')\n",
+ "\n",
+ "pl.subplot(2, 4, 7)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=0.3)\n",
+ "pl.scatter(transp_Xs_lpl1[:, 0], transp_Xs_lpl1[:, 1], c=ys,\n",
+ " marker='+', label='Transp samples', s=30)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Transported samples\\nSinkhornLpl1Transport')\n",
+ "\n",
+ "pl.subplot(2, 4, 8)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=0.3)\n",
+ "pl.scatter(transp_Xs_l1l2[:, 0], transp_Xs_l1l2[:, 1], c=ys,\n",
+ " marker='+', label='Transp samples', s=30)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Transported samples\\nSinkhornL1l2Transport')\n",
+ "pl.tight_layout()\n",
+ "\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "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": 0
+}