{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " /home/maxz/anaconda/lib/python2.7/site-packages/matplotlib/__init__.py:872: UserWarning:axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n" ] } ], "source": [ "import numpy as np, pandas as pd, GPy, seaborn as sns\n", "%matplotlib inline\n", "from matplotlib import pyplot as plt\n", "import tsne" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# t-SNE structure in linear data\n", "\n", "## by Max Zwiessele\n", "\n", "Recently a tweet https://twitter.com/mikelove/status/738021869341839360 shook data scientists awake, showing that one of the most used dimensionality reduction techniques stochastic neighberhood embedding is 'making up' structure in a linear embedding. Their plots show incredible detailed structure in a high dimensional dataset containing only a one dimensional linear embedded input. \n", "\n", "Here we explore the same problem using python's implementations of tSNE and show that GPLVM and Bayesian GPLVM do not suffer from this problem." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "n = 200\n", "m = 40\n", "np.random.seed(1)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x = np.random.uniform(-1, 1, n)\n", "c = np.digitize(x, np.linspace(-1,1,12))-1\n", "cols = np.asarray(sns.color_palette('spectral_r',12))[c]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Linear embedding\n", "\n", "The embedded linear structure. It is just a point cloud on a line betwenn -1 and 1." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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kaem0eyRxNXC48f1+4IoW+lPr7Ikxbosx7m1zTpKkJdJuSAwBh2Y9Xt9C/2BineHGKajr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\nkgwJSVLS/wHry7EFjkdXkgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(x, np.zeros(n), c=cols, cmap='spectral_r', lw=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Embed into higher dimensions\n", "\n", "We embedd this linear point cloud in a 40 dimensional space using a 40 dimensional set of 40 orthogonal bases." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "r = np.random.normal(0,1,[m,1])\n", "M = np.eye(m)-2*(r.dot(r.T)/r.T.dot(r))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "X = np.c_[x, np.zeros((n,m-1))].dot(M)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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q2N6VUg8hHAbGUvuRJPWGsoenDtJeHQCcB/an1IuVxPlV9CNJ6gFlQ2MIuNSxPbKKeraK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\nIUlKZmhIkpL9P79zh4vIIr7jAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(*X[:,1:3].T, c=x, cmap='spectral', lw=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PCA\n", "\n", "The algorithm PCA finds the linear point cloud and is able to reproduce the original." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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j8vJXSBYXqQ/vY+6DXyAfvoZTH/8KfUc+T/H7L5Mlu+GHlijMnWHlvg+w8p73Uv6v/wlW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\nFGVISJKi/j922kiH2NL2/wAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.decomposition import PCA\n", "Xpca = PCA(2).fit_transform(X)\n", "plt.scatter(*Xpca.T, c=x, cmap='spectral', lw=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Barnes_hut implementation\n", "This implementation of tSNE is taken from https://github.com/danielfrg/tsne.\n", "\n", "Note the 'artificial' structure in the embeddings. It is not as detailed ('bad') as in the original R implementation of tSNE, but still it introduces some structure and non-linearities.\n", "\n", "For other implementations in R have a look at https://gist.github.com/mikelove/74bbf5c41010ae1dc94281cface90d32, where others looked at different implementations of tSNE in R." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " /home/maxz/anaconda/lib/python2.7/site-packages/matplotlib/figure.py:1744: UserWarning:This figure includes Axes that are not compatible with tight_layout, so its results might be incorrect.\n" ] }, { "data": { "image/png": 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zttcNBIqOczGVbAsVMDqIGft15cN1fiZ+sI5wqwlzG0IRfv1eKQNyvFy/ez65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\nCC37tNf56THjaHj8OdyKqjwnExER8Y814/5I+YLjC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2,3,tight_layout=True,figsize=(15,10))\n", "axit = axes.flat\n", "for lr in range(6):\n", " ax = next(axit)\n", " Xtsne = tsne.bh_sne(X.copy())\n", " ax.scatter(*Xtsne.T, c=cols, cmap='spectral', lw=0)\n", " ax.set_title('restart: ${}$'.format(lr))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### scikit-learn emplementation\n", "\n", "Careful with the scikit-learn implementation, the parameters and convergence seems to be unstable.\n", "A too high learning rate can lead to a completely random picture. Note that a learning rate of 1000. is the standard in the library.\n", "\n", "It seems that the scikit-learn implementation suffers from high dependence on the parameters chosen for learning. Beware of this, when using this implementation of tSNE." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.manifold import TSNE" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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MhmEEF+AQwtDHhHbpl+7hw8m9WV8bpneamwEFfkpKOi+Bcc7kdBxgzpIAowZ6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\ntfDHI6nkbddZU6hx/jNeIhr0aGvh86l9SHRF5+6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W4djeNkY/UhlbwtmqANWJryuDJhYF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\nLePb/pkKj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bNoF+pZqz6FOJRqO4UkGcjfq5xWg/NJVbRJLZtWcl8t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kZIJuRl+RjwSMlBRkeibB405Cq3IjNQ1t8yb0JQsw0jPxjvs/tG4+LJU/IMKbYOkyUiJBwIwU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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2,3,tight_layout=True,figsize=(15,10))\n", "axit = axes.flat\n", "\n", "for perplexity in [30,60]:\n", " for lr in [200, 500, 1000]:\n", " ax = next(axit)\n", " Xtsne = TSNE(perplexity=perplexity, learning_rate=lr, init='pca').fit_transform(X.copy())\n", " ax.scatter(*Xtsne.T, c=cols, cmap='spectral', lw=0)\n", " ax.set_title('perp=${}$, learn-rate=${}$'.format(perplexity, lr))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### GPLVM\n", "\n", "We show the performance of GPLVM on the dataset provided. The top right bar plot shows the sensitivity to the dimensions of the embedding. When the sensitivity is high, the dimension is used." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " /home/maxz/anaconda/lib/python2.7/site-packages/matplotlib/__init__.py:892: UserWarning:axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n" ] }, { "data": { "image/png": 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uJWkWmceSlBxmsiTNjYlGYAwdAvfmIY9jpuECRWEYXkTxftlrS5XrCZdPdp4k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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.axes_grid.inset_locator import inset_axes\n", "\n", "fig, axes = plt.subplots(2,3,tight_layout=True,figsize=(15,10))\n", "axit = axes.flat\n", "for lr in range(6):\n", " ax = next(axit)\n", " m = GPy.models.GPLVM(X.copy(), 2)\n", " m.optimize(messages=1, gtol=0, clear_after_finish=True)\n", " msi = m.get_most_significant_input_dimensions()[:2]\n", " \n", " is_ = m.kern.input_sensitivity().copy()\n", " is_ /= is_.max()\n", " \n", " XBGPLVM = m.X[:,msi] * is_[np.array(msi)]\n", " #m.kern.plot_ARD(ax=ax)\n", " ax.scatter(*XBGPLVM.T, c=cols, cmap='spectral', lw=0)\n", " ax.set_title('restart: ${}$'.format(lr))\n", " ax.set_xlabel('dimension ${}$'.format(msi[0]))\n", " ax.set_ylabel('dimension ${}$'.format(msi[1]))\n", " \n", " a = inset_axes(ax,\n", " width=\"30%\", # width = 30% of parent_bbox\n", " height='20%', # height : 1 inch\n", " loc=1)\n", " sns.barplot(np.array(msi), is_[np.array(msi)], label='input-sens', ax=a)\n", " a.set_title('sensitivity')\n", " a.set_xlabel('dimension')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bayesian GPLVM\n", "\n", "Last, we want to show the ability of Bayesian GPLVM to not only find the linear imbedding, but also determine the number of necessary dimensions to embedd the data in. We start at a dimensionality of 5 and show that Bayesian GPLVM is capable of identifying one dimension as the significant one and switches off the other ones. See for that the significance of the dimensions in the top right of each subplot." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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pKPNYkpLDTJak4hm1gQE0ANcA24BgyNj6aatIkjSUeSxJyWEmS1KRjNrAiKLo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\nSwgGz2V2puEjCwKywVHCc4w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9oSQ8/EEMm2Lk\nl5ZHrU79eOb/HJo+on79U/Azaui/RFXObN199Cv6/cCmY9M7R3VT6JOKpPoCNCZpn0YtXkjSvx14\nOG2bU/KXCscqJUX08MEd2tC6Xwf7u4dNM+CM3IZLg6UjuYHo9qP/JEX656Zd3xtdEd31x9DggnVj\nU7v6os6ILW3ML8X6pEi/9Ore0Qf9qYoXg30cmiYm7X7+Lall+HZvYMDRoUPH7tu/v1ePPNI8Yllv\nv92rm256Xffcc6oef/xQfPmO9MADI8cXkYijDRvi26Gurog++cnXdPRo/P3f2Niqb35zt77yFXvU\nx5VP2RYwahQ/RK7Rtu3BAtH6SevVJKqrC+ZtXZHOVh0dfbJxKZmMS0QdGX2S8azWP3pdJaWoc0Cy\nRg5Y23L0BXmo4pAGNHz5naXvDHuPhKIhhVpGbmj61Kv2GYfjg/NMxlC8GNQRSbdzIckKDqtcDTgx\nxSr9ao2NPrAf1bGtY1p9Sandm3o7MeSdSOZxxoSU5r4a3NkZy2tGjFPR5LGUm0wO/yE0bJQ+WUqs\npOLFRMya+CIC4/jYt04wP7t9XaqrC6qtO1WBOIVxry8qqU9SiSTpaHQcYZpFpkmZjnOJZ947odEH\n3eNxoE1a6hslRDNoaUmxo+Dq7Mz++Tp0aGDY53AKZKDXFE0me+G172p9Z/SJJkEszZeMY9ar+A57\njsaqlpRUwBi7tvFut5Lmi1lRlczpU52Cau8ZudOQsnghZQ7ZMfWnetjN9sgEx75jfFJ7kg/lGzR4\ngHhoYt0ZoS99xmfj0KF+HT6c/gvmdHp6hs/T3h71RDYkynYP4E5JV0k5HSO2S6p1/66R1DpK+xHF\nPwKj3Ze8nGFaWrI7lD8XnD9fK33/+ym/0RsXn29oWZ1RqS7XR7r/xWyN8vQp6quRP5biiJE0HEm9\no9X801yzu6LkE+ru3Sz5fjvs/tMi0rxohQ77e0bOlMVyJcnn+PT+0EfVUdGubaW/G7p/VfjjaulJ\nfI9Y+lDZpXq275lh859bcp4+0H+R5vrm6Z1Y6qMlJMV3UsbwqSm1SrV23uX6xcGfp57AaZZi+yTf\nQknSWcE5mtNXouvmLlNTe5Y7FGlX3iz1pq+w+iWdO7tUL7bGv71bNNOvkyr8+s2Rkd84DvrkieU6\ndK6ll3enn8Zvaejw7uEHsGcW6OkdT31IpaVSLBY/tSRRWZlPF19cOykZkePgL5o8lnKTyc6S0+Rb\nukyxnTuG7rPmz5fTPPJbiYnojsV3aMtykb1vpm/K5mcMHEnd6b84SpjQJ1nHtkEX9EuPpz4oISXL\n8clJmH9l30VqCXXpMt+VelbPDpt2hmaoW91JC8h+XcOVSSodunVx7UI9deTNsS2i9KDUvzBlU2Lu\nHFfu06E01diVs0r03veU6h//M/X2JuAffmpIwCdFstzk/83/U675mq0HH9yT6svejBYuLNfHPna8\n7rgjPmIePE1Ekvx+S9dcc7zuv/+tUZfj80nXXnvc0Oewri6Y13FSoXg8k6d0Hk9U4Iqrpd//Pn7D\n5894WnRWSktTHnmcrOyyj8h59F8mfP6Pc5Yly5d5JDOWn6qJWVJkxhgW5NRKCknWsRHS+QPSawH3\nTOsxqI0erzbfwaF1LIgsU2n7PLWoS2utj+gpPTXsqIrl/tO0LfrGyAX5FI/0LOoNpSqVLKnfSfGa\nRV+SAhdKkir9JfrQnBP16OHdY3tQiUoOS/0nKFO1aUGFXwfcHfoPzClTW39UfwwljT4HNIEqUQYn\n1EpvjD6OKSuz1Nc38j131VXH68ILZ6m01Kd+9/yYGTP8khx1dw/fUCWeMXXeebP04ovtcpz4NmLt\n2rpJzYbx5HG2BYznk664nAuPSlop6QVJSyRtkCTbtquNMZ3p2iXVZ3lfwZU0nKOa536jnge+J6us\nTIH3fVA93/sHRY2R/H756ubIN2euKm76lGJv7lXkwNtyQiE5kagCi5coeviQ+p/7bykWVWD1xar6\n0lcV2fx7xd7co0B0QD3tR+Tbs0u+tiOK2KcpduJiKTqgQNNL8nW0K3L6mfKbbQq8tUfR6hrFFp2i\ngRUr5cyZK8Wisnp7VPK738opr1Dv1R9XzbpVCu/6F1kDBxXofllWpEvylUmy5PhmKlJZr+65f6vy\n9p/L139AgaNb5O9/W5GyUxQrtyWnV7HA8ZLTo/KOJ6VotwYqz5MVPU+KPi+pXHJsyTosOUslSZb8\ncpzTJN83JeuoFL1aljUgOQsUrL5OPeF2Ob67Jd9/SjFb0kpVqkb3tK/Rb8t/qXJnpkqdcrX6mhVV\nROVOpfb7jdr9h/S+3nVq9x/W70p/qX3+7fKrVO/uv0CLoqfr1IFzdVrkPWro/5Aeq7hXe0te1/t7\n1+n9/VeOeB3XV/2rHuv9mTb7XlRz9yHVl56j22b8fyqxSvTcrI16pu+XqlRQzbEDej3yqkpVKhPZ\nLr8V0C2n/7VChzv11OEntb/7bZX6yrR4xmK1RzrUPXBUR2NHFbACKrFKZAeX60unfk0nVSzShXMv\n1uG+Q5oVqNUP3/qB3uzZo2r/LK2qW62zZ/2ZurRc1cFyXTJzgUp8Pl1z/Cma6Q/opwd36p3+Hi2q\nCGpF5RwdGejVn8JtMt0d6o1FNaukTBfPXqiPHneKvr//T+qORrR8RrUOD/RqcUVQs1ShUH+J+iIx\n/eTtbh3sicmSdGZNiR5qqNXccr8e3detnoijK06oULDEp8f2detoxNHpx1XqvldbtKsrorllPn1u\neZUuOq5Cmi8tmefXi9v7NRB1VFnmU0d3TI4j/fmKMs2t9ulHjT0aiDj6qwsqZJoj+v5/dWsgIp1y\nvF9nnBjQGweiikalwx0RvX3E0Wkn+PXI3y7Sz/89oB/+8G21tQ1o3rwy3XnnKYpEHK1f/7bKywM6\n88xK+f2WXnjhiHbv7pZtV+qnP12hlpZ+3XPPLs2Y4deaNbPV3NynD3xgtk4/3VsV5jTI4yTWzJmq\n/c8N6nnkJ4q8/ppKVpyl8r+8Tn3PP6fu+/9B0R1G8vkUWHORfP6AYu8cVukFq1X6vg+q+7vfltPV\nJau2Vr66ufLNmqVYe7sGfr9J0b275T9hoap+/qSiv3tRenWrekv8ih1qVmC3iZ/vvPIcOeUVKt2y\nSb53DiuycJECO7fLF2pXtDKokrPPVdh+l6zuo/K9/Zb8zfs18P4LNPCJBpUe3aCSo1ukaLtklcqS\no8iMd6t31tUqa39Cge4mWU6/YoH5ipXUyvFVqyT8f2TFwuqe/S5FSx0pakmqklQtOScpfu7zZsmZ\nJTlrZDkXytFWyf+g5JTq2qMf1sl9M/W2v129Vrc6fO+oz+pVt9WhYGy2dgVeVqt/vyqcoM7vu0YX\n9P6l9gZe16ayp7RsoF4f6YmfmnNZ+TrN8x2n+7v/QZ2xkG6Ze6PO6nuPnun7pXZGdmh3ZJf2RHfL\nqrW0omSltu37kw71HFR5oEJypF6nV5YsHV82X3fZX1Io2qld4Z36j0NP6UDvfs0umaML57VpTvkH\ndEbVAl0y50R95Mhi3f/2H9XS36NlM2tUbvm1NdSiloFelfl8+nDdYsmS9nR3aVZJqYL+qOb5LEUj\nM/VMc7fe6o7JJ2nNvDJ988waPdPcq8qApStOqNBTB3rVMRDTW+F+PXe4TxFH+vPjynXPmfFDZc5Y\nVKKX35ScaL8qSi01t8U0r8andeeWa39rVE++1KfaSkvXnV+h/3q5T/+6sUcxRzp1QUCnLvCrPyLt\nPjSgV/bGFPBLX756hi4/p0JShZ577hx973tv6tVXQ1q4sEJnnVUty5IqKnxatGiGWlsHdPhwr8rK\nfGptHdCiRTN02WXzNHdumZYurdRrr4V0zjk16umJ6fXX43/X19fo3HNn6eGH96u6ukR97uFzS5fO\n0CmnzNSLL7bryJF+3XbbYp1+elU+PqbFLNeZPKXzeKIqPnG9fCctUvnbu9R/ZoOc7m71Pvoz9W/d\nLEVjKr1glfwLTlDkT39S9I0/SmVl8p98imJHWuQLBuVbcIJKzni3VF6h2NtvqXTVGsXaWhW++yuK\n7tgu3+KTJb9fsTf3quSsepU0nKPAaaepbPVF6rx0rWbe+xU5JSUaOPu98r/epJLt26TusPyRqCLB\nKkVPP0P97ztf/uZm+fe/pYGlp8q//235Oto18J73q/+61Srt/q0kR77+t1Xa+ZykqHpmX69A/x75\nom3qq7pE/t5tKul+WVasW7GSuYqWLJQv0qZo6Xz5e/eqpPt3igXmKrzwW1J0j+T8myRHcs6QdKIq\nK2co3FUv+dZL1tZ4/jvvlRW7XFJATuBmSa1S7H36QOREze6fr12B/XIU0zv+t+V3StTmO6iI1a8T\nI8u1N/AH/Snwonzy6YyBC/Sugffpg31Xa4d/q3414591fHSxPnr07+V3r2X3F+Vr9ZTvv/WjngfU\nHD2oy2vX6nrnr/VC/waZqJHPsfR/BjZqf2S/2pxWLX3XMp32zul69p3/ULi/S+WBcs0prVNz7371\nxfpUGajSGVVn6B9Ov18t/Uf0q3ee1SudW7X76C51RjpVHajWqjkLdPzMRfL75uii2Sfo5BnVunD2\nCdrSeVi/6zysEsuvVbULNMMf0Asd+9XUfkSV/hKdEaxVVaBU88tnqjsSUW1pmfpjER3u69W8QLeC\nmic5lh7f36M3j0YVdaTjK3xav3KWFgVL9Pi+HpX7LV21cIYijqMHd4e1ubVXu8MxzQxIq+ZWqLdW\nmtMT0HtOKdHuQ1E1t0UV8Fs6EoppzqxS/ffWo+rpk1ae4lOpz6/eiKOOo46OdEYV7pNOqvMpWGHp\nnU5Hc6ulmWV+rfrMKYodnKPvfvdNdXVFVF9frYULK3TiiRXas+eodu7s1qWXztPKldUvQIq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.axes_grid.inset_locator import inset_axes\n", "\n", "\n", "fig, axes = plt.subplots(2,3,tight_layout=True,figsize=(15,10))\n", "axit = axes.flat\n", "for lr in range(6):\n", " ax = next(axit)\n", " m = GPy.models.BayesianGPLVM(X, 5, num_inducing=25)\n", " m.optimize(messages=1, gtol=0, clear_after_finish=True)\n", " msi = m.get_most_significant_input_dimensions()[:2]\n", " \n", " is_ = m.kern.input_sensitivity()\n", " is_ /= is_.max()\n", " \n", " XBGPLVM = m.X.mean[:,msi] * is_[np.array(msi)]\n", " #m.kern.plot_ARD(ax=ax)\n", " ax.scatter(*XBGPLVM.T, c=cols, cmap='spectral', lw=0)\n", " ax.set_title('restart: ${}$'.format(lr))\n", " ax.set_xlabel('dimension ${}$'.format(msi[0]))\n", " ax.set_ylabel('dimension ${}$'.format(msi[1]))\n", " \n", " a = inset_axes(ax,\n", " width=\"30%\", # width = 30% of parent_bbox\n", " height='20%', # height : 1 inch\n", " loc=1)\n", " sns.barplot(range(m.input_dim), is_, label='input-sens')\n", " a.set_title('sensitivity')" ] }, { "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": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }