{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Word vectors with small corpora:\n", "# Visualizing word vectors\n", "## © 2018 Chris Culy, April 2018\n", "### [chrisculy.net](http://chrisculy.net/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary\n", "This is one of a [series of posts](wvecs_intro.html) on using word vectors with small corpora. This post goes beyond small corpora, however, to discuss approaches to visualizing word vectors for _any_ size corpus.\n", "\n", "[Download as Jupyter notebook](wvecs_visualization.ipynb)" ] }, { "cell_type": "raw", "metadata": { "collapsed": true }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Show Code" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "from gensim import models\n", "\n", "#for tables in Jupyter\n", "from IPython.display import HTML, display\n", "import tabulate\n", "\n", "#for visualization\n", "import math\n", "import matplotlib.pyplot as plt\n", "from sklearn.decomposition import PCA as sPCA\n", "from sklearn import manifold #MSD, t-SNE" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Background\n", "\n", "Visualizing data often helps us understand it better, whether as an overview or at a more detailed level. Word vector models pose several significant problems for visualization, however.\n", "\n", "The first problem has to do with the size of the vocabulary. Even with these small corpora, the size of the vocabulary makes it difficult to visualize it all at once. (The smallest text in the [previous experiment](wvecs_testsets_parameters.nb.html), _Nightmare Abbey_, has just under 5,000 types, while the largest text, _Moby Dick_, has almost 18,000 types).\n", "\n", "The second problem has to do with the number of dimensions of the vector spaces. Our test parameters range from 25 to 400. Given that we visualize information in two or three dimensions (perhaps with time as a fourth), we have many more dimensions of information than we have available for the visualization. Even standard visualization encoding techniques (color, shape, etc.) give us just a few more dimensions to use, and their expressibility is relatively limited.\n", "\n", "The third problem has to do with the nature of the axes of the vector spaces. For most vector space models, including the three discussed in this series of posts (ppmi_svd, word2vec, and FastText), the axes do not have any inherent meaning. This lack of meaning makes it difficult to use those axes in a visualization.\n", "\n", "To address the problem of the size of the vocabulary, we can note that for most of the tasks involving word vectors, we are not interested in the whole vocabulary at once. [For example](wvecs_exploring_similarities.nb.html), we might be interested in the closest items to a relatively small set of words. I will thus set aside the issue of vocabulary size, and focus on the number of dimensions and interpretatibily issues.\n", "\n", "In the examples here, I will use a centroid word2vec model for _Vanity Fair_ that we created in the post on [stabilizing randomness](wvecs_random_fix.html). The parameters are win=10, dim=100, min_count=10. There is nothing special about these parameters, nor about the use of word2vec — other parameters and other techniques would work just as well." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "vf = 'vanity_fair_pg599.txt-sents-clean.txt-word2vec-win10-dim100-thresh10.vecs'\n", "vecs = models.KeyedVectors.load(vf)\n", "vecs.init_sims(True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dimensions and similarity\n", "\n", "### Similarity lines\n", "\n", "Probably the most common use of visualization of word vectors is to get a sense of how similar words are. In the post on [exploring similarities](wvecs_exploring_similarities.nb.html), we used one (uncommon) technique for visualizing similarties, namely plotting rank vs. similarity. (We then used the slope of those lines for further analysis, but that is not the point here.) Below we see the similarity line for the 10 words most similar to 'house'." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def show_closest_line(vecs,word,n):\n", " display(HTML(\"%d words most similar to '%s'\" % (n,word)))\n", " \n", " tops = vecs.similar_by_word(word, topn=n, restrict_vocab=None)\n", " \n", " items = [item[0] for item in tops]\n", " sims = [item[1] for i,item in enumerate(tops)]\n", " \n", " fig = plt.figure(num=None, figsize=(10, 6), dpi=80, facecolor='w', edgecolor='k')\n", " ax = fig.add_subplot(111)\n", "\n", " \n", " plt.xticks(range(n), [i+1 for i in range(n)])\n", " plt.xlabel('Rank')\n", " plt.ylabel('Similarity')\n", " plt.xlim(-1,n)\n", "\n", " \n", " ax.plot(sims, color=\"purple\", alpha=0.5)\n", " \n", " for item, x, y in zip(items, range(n), sims):\n", " ax.annotate( item, xy=(x, y), xytext=(20, -7), textcoords='offset points', \n", " ha='right', va='bottom', color='orange', fontsize=14 )\n", "\n", " \n", " \n", " \n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "10 words most similar to 'house'" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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G5OTkAeOefPJJlixZgr+/P76+vtx1111s3bp12N+3cuVKamtr+1/BwcEjch7iGnFT44jM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\nzgtBO3YKvLKpw0FB3a/aJbJBTYux5D4Dd3RSv59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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_closest_line(vecs,'house',10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A large advantage of similarity lines is that they are easily interpretable: rank and similarity are familiar ideas and they are encoded straightforwardly by position (horizontal and vertical, respectively).\n", "\n", "The main disadvantage of similarity lines is that show us only one aspect of similarity, namely similarity to a single given word ('house' in this example). We cannot tell anything about the similarity of these words _to each other_. \n", "\n", "To see why this is so, consider a geographic example. The distance from London, England to the closest European capital, Paris, France, is 460km, while the distance from London to the second closest European capital, Dublin, Ireland, is 557km. However, the distance from Paris to Dublin is not 97km (557-460), but rather 1024km.\n", "\n", "\n", "Dublin ⟷ London ⟷ Paris\n", "\n", "\n", "The problem is that in both the geographic example and word vectors, distance/similarity is one dimensional but the data is multi-dimensional (location involves orientation, not just distance), so some information is lost when representing the original data with a single dimension.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dimensionality reduction techniques\n", "\n", "A common technique when dealing with high dimensionsal data is to _reduce_ the number of dimensions by transforming the data into a lower number of _new_ dimensions for visualization. The number of dimensions is usually two, sometimes three, given our two dimensional displays. There are many ways to do dimensionality reduction, each with their own goals and motivations, but I will focus on three common techniques, using just two dimensions for illustration.\n", "\n", "\n", "* Principal Components Analysis ([PCA](https://en.wikipedia.org/wiki/Principal_component_analysis))\n", "* Multidimensional Scaling ([MDS](https://en.wikipedia.org/wiki/Multidimensional_scaling))\n", "* t-distributed Stochastic Neighbor Embedding ([t-SNE](https://en.wikipedia.org/wiki/T-distributed_stochastic_neighbor_embedding))\n", "\n", "It is important to note that these techniques are mathematical transformations and not visualization techniques: the _results_ of the transformations are _used_ for visualization. In fact, the function I wrote below to illustrate these techniques calculates the transformation in each case, and then uses exactly the same code for the visualizations.\n", "\n", "An additional point is that the new dimensions of the transformed data do not have any inherent meaning relative to the original data, which is why there are no scales in the charts below." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def show_closest_2d(vecs,word,n,method):\n", " tops = vecs.similar_by_word(word, topn=n, restrict_vocab=None)\n", " \n", " display(HTML(\"%d words most similar to '%s' (%s)\" % (n,word, method)))\n", " #display(HTML(tabulate.tabulate(tops, tablefmt='html', headers=[])))\n", "\n", " items = [word] + [x[0] for x in tops]\n", "\n", " wvecs = np.array([vecs.word_vec(wd, use_norm=True) for wd in items])\n", "\n", " if method is \"PCA\":\n", " spca = sPCA(n_components=2)\n", " coords = spca.fit_transform(wvecs)\n", " #print('Explained variation per principal component:', spca.explained_variance_ratio_, \"Total:\", sum(spca.explained_variance_ratio_))\n", " \n", " elif method is \"tSNE\":\n", " tsne = manifold.TSNE(n_components=2)\n", " coords = tsne.fit_transform(wvecs)\n", " #print(\"kl-divergence: %0.8f\" % tsne.kl_divergence_)\n", " \n", " elif method == \"tSNE-PCA\":\n", " tsne = manifold.TSNE(n_components=2, init='pca')\n", " coords = tsne.fit_transform(wvecs)\n", " #print(\"kl-divergence: %0.8f\" % tsne.kl_divergence_)\n", " \n", " elif method is \"MDS\":\n", " dists = np.zeros((len(items), len(items)))\n", " for i,item1 in enumerate(items):\n", " for j,item2 in enumerate(items):\n", " dists[i][j] = dists[j][i] = vecs.distance(item1,item2)\n", " \n", " mds = manifold.MDS(n_components=2, max_iter=3000, eps=1e-9, random_state=0, dissimilarity=\"precomputed\", n_jobs=1)\n", " coords = mds.fit(dists).embedding_\n", " #print(\"Stress is %0.8f\" % mds.stress_)\n", "\n", " else:\n", " raise ValueError(\"Invalid method: %s\" % method) \n", "\n", " plt.figure(num=None, figsize=(8, 8), dpi=80, facecolor='w', edgecolor='k')\n", " plt.tick_params(\n", " axis='both', \n", " which='both', \n", " bottom=False, \n", " left=False, \n", " labelbottom=False,\n", " labelleft=False)\n", "\n", " lim = max([abs(x) for x in coords[:,0] + coords[:,1]])\n", " plt.xlim([-lim,lim])\n", " plt.ylim([-lim,lim])\n", " plt.scatter(coords[2:,0], coords[2:,1])\n", " plt.scatter(coords[0:1,0], coords[0:1,1], color='black')\n", " plt.scatter(coords[1:2,0], coords[1:2,1], color='orange')\n", " \n", " for item, x, y in zip(items[2:], coords[2:,0], coords[2:,1]):\n", " plt.annotate( item, xy=(x, y), xytext=(-2, 2), textcoords='offset points', \n", " ha='right', va='bottom', color='purple', fontsize=14 )\n", "\n", " x0=coords[0,0]\n", " y0=coords[0,1]\n", " plt.annotate( word , xy=(x0, y0), xytext=(-2, 2), textcoords='offset points', \n", " ha='right', va='bottom', color='black', fontsize=16 )\n", " \n", " x1=coords[1,0]\n", " y1=coords[1,1]\n", " plt.annotate( items[1] , xy=(x1, y1), xytext=(-2, 2), textcoords='offset points', \n", " ha='right', va='bottom', color='orange', fontsize=14 )\n", "\n", " ax = plt.gca()\n", " \n", " r = math.sqrt( (x1-x0)**2 + (y1-y0)**2 )\n", " \n", " circle = plt.Circle((x0, y0), r, color='orange', fill=False)\n", " ax.add_artist(circle)\n", "\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Principal Components Analysis (PCA)\n", "\n", "The goal of PCA is to transform the original data into a representation using fewer, independent dimensions such that each successive dimension maximizes the variance of the information encoded in that new axis. Here is an example showing the 10 words most similar to 'house' in this word2vec model. " ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "10 words most similar to 'house' (PCA)" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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3dGb//v34+/vThS4e4QAgICCAg58drPJwINXMcJsrpEqtpo9TUvfZ/NTH6WUS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\nMwVMeDeVpU8MrNJTHhX3RC6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6Myg0HgH+9ayusGaVnIMTS8zXI2MBGC5ofN13r8dIczIq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\nAANxAAAADMQBAAAwEAcAAMDw/xcYv0UoOaffAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_closest_2d(vecs,'house',10,'PCA')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We saw in the similarity line example above, that 'lane' is the word most similar to 'house' in this vector space. However, in the new PCA dimensions, 'lane' is not the closest to 'house', but 'admitted' is. In addition, a second word 'hampshire' (_Hampshire_) is also closer to 'house' than 'lane' is. This discrepancy is due to the fact that PCA does not preserve distances (or even have that as a goal). This mismatch between similarity and the two-dimensional representations of the vector space is an inherent one: it is not possible to preserve _all_ the distances from a higher dimensional space in a lower one." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Multidimensional Scaling (MDS)\n", "\n", "Unlike PCA, MDS _does_ try to preserve distances. Here is what the 10 words most similar to 'house' look like under MDS. The word 'admitted' is still closer to 'house' than 'lane', but only barely, and it is the only word closer than 'lane'." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "10 words most similar to 'house' (MDS)" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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i0tD4RcPw7cZNJXl7jCHjo4th47NnHosnIlKV0hz45QHoOh6atDG7mnLqKRQR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\nN3j+vaSPAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_closest_2d(vecs,'house',10,'MDS')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### t-distributed Stochastic Neighbor Embedding (t-SNE)\n", "\n", "t-SNE also tries to preserve distances. Where MDS tries to preserve \"close\" distances, t-SNE tries to preseve both \"close\" and \"far\" distances. Here is what the 10 words most similar to 'house' look like under t-SNE." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "10 words most similar to 'house' (tSNE)" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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X8H7P9zmYfJDoztFkbMjg2LZjpavsiVREfHgARSWOch8rKnEQH17JfWBCfwoH\nTap25I+YR7cVPJWjCE5uduuWg/Ic3HiQD4d/iF+IH8OnDGfc2nHct/E+/CP8y8w4d+H8+Dbv82PR\nL9xe0dnqGvZoSESrCL77z3cAfPef7whpHEKjfo0q+pJESIoLITbUH9sFszXarBYahvqTFGd0xp0z\ndg5vN3/76k8Y1ompv/ZjxuAZpZtWPL+CF31fvPpjS42gcOCpTv0AVm+o08TsSqrVzjk7sfvbGfP5\nGFqMakFst1jqt69PQXbBpZ9cya759TV8/+H3nDl6hh8++oEO4ztU/rAz8QgWi4Xp4zoTF+aP3WbB\n39uG3WYhPsyf6eO7VP6/q9AkY34UZzn3McQt6LaCpzp3v9DiWfmwKK8Im7fNZT78bbO24Sguv0m2\nKrW7ux1f/+FrPh3zKcX5xbS/t3211yDuIybEn6UTelf9PAcA/rFgtUPR6co/djlKikqwWC1YbZ71\neWUmhQNPlZUCoZ51SwEgcVAiG17fwPwH5tNqTCuObj3K+r+vL3MLoTr4BvvS6pZWbJm2hWYjmlEn\nqhrmxhe3ZrFY6BQfesnOh+lr01n42EKO/XCMsCZhDPz7QBr3bwzA1D5T8fL14s6Fd5buf+bIGV6L\neo0R74+g/dj2RqdErzpQdOoXz5PyXgpfPfIVN7x7A9fcZ3RezNyVybKnlrF/2X6KC4qJ6RrDoH8M\non778/17Xo9/ncTBiYS3CGfDGxs4lXaKR/c9WtqpWKqeYpinyvrWI3saJw5OZODfB7J34V5mDZ3F\njs92MObzMfjUvfgKeFWpxegWAHT8VUdTzi+eJ/dYLvN+PY/Oj3RmzOwxeNfx5qNRH5GflV+xA9nr\nQFHORR9e9dIqFj62kNEzR5cGg5OpJ5ly7RRyDuYwdPJQbv70ZixWC1P7TCX3eK7L83d9sYvtH29n\n4KsDufWLW/ENqf4A78nUcuCpclOhTqLZVVS51re2pvWtrV22dXu8W5lJhn6b+luXn0dOHVnmWMHx\nwTznfK7M9pN9TvLItEdovaI1ffr0of3Y9sa3q58p73lgjJwIigki8Xr3/7uQmqEgu4B7lt1T+k09\nOD6Yd1q8w56v9tD2jraXfyCbH5RklfvQ4v9bTMo/U7h17q0kDj7/b3vF8yuwB9i5e+ndeAcYEyg1\n6teINxPeZN1r67ju5etK9y0uKOaOhXfgU8ec4O7pFA48UclZOHsC/BqYXYnHOrrtKMe2HWPz+5vp\n+0Lfcu+lVss8+eJxAuoFuDThhzUNw2KzkJN+8VaAclm9ofCCjrxOmDt+Ljs+28Gdi+6kYY+GLg/v\nW7yPFqNb4OXjVdrPx2a30bBhRuyWAAAgAElEQVRHQw4mH3TZN65XnIKBiRQOPFH+YbDYwCfC7Eo8\n1qxhs8g9lkvLG1vS9bGuZR6vtnnyxeNc2DxvsVqwelkrPBwXqw84zoLTafRBABzFDnZ8toPoTtFE\nd4ku85S843lsfGcjG9/ZWOaxkATXtU8CIrU+iZkUDjxR/iHwrQ9Wm9mVeKwLb2P8XLXOky9yAS9f\nL0oumGqx3P4INm9wOoxOid5GR0Gr3cpdi+/igwEf8Nltn3HThzdh9TrfKuYX5kfioEQ6P9K57OF8\nXD+P9G/cXOqQ6InyD+mWQhUoKSnhxRdfJC4uDh8fH1q3bs0XX3zhsk9xcTEvv/wyLVq0wMfHh4iI\nCMaMGcOePXtK90lJy2b7ii/48aUhFBw4v/7CuXnyo2Pj6NOnj8tx582bR8+ePQkLC8PPz4/Y2Fhu\nvvlmDh50barduXMnt912G5GRkfj4+JCYmMjEiRMpKiqq/DdEaqWg2CBO7DqB42czLu5dtLfsjhYv\nYyh0/iGXzdGdo7lj4R3sW7yP2XfOdjlOwsAEjm49Sv329WmQ1MDlV2SbyCp7TVJxajnwRPmHwF/h\noLL98Y9/pKSkhEceeQSAN954gxtvvJFdu3bRuLExTOyOO+7g448/ZvDgwTz00ENkZGTwzjvvsHjx\nYjZs2EDTpk1JzczFai3/W5PdZqX4gsV1VqxYwciRI+nevTvPPvssAQEBZGRksHDhQjIyMoiONpp3\nN27cSP/+/YmIiODhhx+mXr16JCcn8+c//5ktW7Ywe/bsKnx3pLZodUsrNv1nEwt+s4BWt7Ti8KbD\nbJ6yufydrb7G58kFK7vGdovljq/uYObgmcy5Zw6jpo/CYrXQ9899+XenfzO9/3SueeAa6jSoQ+6x\nXDLWZxAcF+yy1oiYS+HAE+UfAr+y9wPl6pSUlLB+/XrsdjsAffv2JSkpicmTJ/Pyyy+zZMkSPv74\nY26//XZmzJhR2mw6cuRIrr32Wp544gnmzZtHfHgAJY6Lz5PvdUFw+OKLLwgMDGTZsmV4eZ3/L/38\n88+77Dd+/HhiY2NJTk4mIMC4n3v//ffTrl07HnvsMZYvX07fvn0r6+2QWiphQAKD/jGIDW9sYNvM\nbcT3jWfUjFH8O+nfZXe2+UDeobLbgYbdG3L7l7cz8/qZzB03lxFTRhAcH8yvkn/F8meWs+i3iyg4\nWUBg/UBiusbQ6uZWVfvCpEIUDjxR3iEIamZ2FW7nN7/5TWkwALjmmmuoU6cOe/caTbKff/45AE8/\n/bTL/dSuXbvSr18/Fi5cSH5+PklxIYQG+HDsguOfmyd/n5fr3cDg4GByc3OZP38+I0aMKPde7dat\nW9m2bRuTJk0iPz+f/Pzz95AHDx4MwJIlSxQO3Fx5Q3QB/lTwJ5efu/62K11/69pR9sLhuGNXjIU1\ni0tvK/R5vg99nu/jsk9czzieOvOUy7aQRiGMnjH6F+v8pT45Uj3U58ATqc9BlWjUqOyiSaGhoZw4\nYaz2uH//fmw2G82alQ1mrVu3pri4mPT0dCwWC/f1NI5ls5adJ/9CDz/8MO3atWPUqFFEREQwatQo\nJk+eTE7O+aFpO3fuBIxgEhER4fLrXD1Hjx69+jdBPItfgzJ9DqqS0+lkY2oWn6SkszE1C6fTeekn\nyRVRy4EnUjioEjZb+aM/zn2AOZ3Oy+6BHRZoDDd7ZmhLwhJbucxzUFLi2pM8NDSU5ORkvvnmGxYv\nXszKlSt54IEHeO6551i6dCktW7YsreHJJ59kwIAB5Z6zQQP9m5AK8msAmWur5VQa3lu9FA48Uf5B\ndUg0QUJCAosWLWL37t20aNHC5bHt27djt9uJjY0FjAs+QKRPCaOSYkv3Kygo4PDhwyQkJLg832az\n0bdv39LbAmvXrqV79+688sorTJs2jSZNjNU37XY71113HSKVwq8B5B289H5XScN7q59uK3iaojPG\nfOhqOah2I0ca93tfeeUVl+3Jycl8/fXXDBo0CD8/P4DSi/myZctc9n3zzTfLtBxkZmaWOVfbtm3x\n8vIiK8uY3rZDhw60atWKd999l/T09DL7FxQUcPp09aywJ27Ev3puK6SkZZORlU/JBSN1zg3vTUnL\nrvIaPI1aDjxN/mFj2lPvX161TSrfgAEDuOWWW5g2bRqZmZlcf/31pUMZ69aty2uvvVa6b/Pmzenb\nty/vvvsuTqeT1q1bs27dOlavXk14eLjLce+77z4OHTrEgAEDiIuL48yZM8yYMYPi4mLuuusuwJhQ\nZvr06fTr14/WrVszbtw4WrRowenTp9m5cyefffYZs2fPLjN/gsgv8msABYeNyZCqcPn31MxcvGwW\nLpibCTCG96Zm5l5yJUqpGIUDT1N8Gux1S6c7leo1c+ZM2rdvz7Rp05gwYQKBgYEMHjyYF198kaZN\nm7rsO2PGDB566CGmTp2K1WplwIABrFixgp49e7rsd9ddd/H+++8zdepUjh8/Tt26dWnTpg0LFizg\nhhtuKN2vY8eObNq0iUmTJvHZZ59x5MgRgoODady4MY8//jht21Zg0R0RMD5LHEXgKARb1a2aGB8e\nQFHJxYf3xodrquXKZnFWsLtnTEwMGRkZVVWPVLXMDbBqFIyqvh7GIuKmCrPh01C4OcdYwrmKOJ1O\n+v99ZWmfg3NsVmMUj/ocXJ6KXL/V58DTOIuNaU9FRK7Wuc8SZwUXbaroaSwWpo/rTFyYP3Zb2eG9\nCgaVT1cJT+MoBqv90vuJx3I6naxZs4a9e/eSmJhI9+7d9eEr5Tv3WeKo2nAAEBPiz9IJvbWMeTVR\nOPA0ajmQX5CWlsagQYPYv38/3t7eFBYW0qhRIxYtWkRcXJzZ5UlNU00tB6Wns1joFB+qzofVQLcV\nPI2jCKwKB1KW0+lk0KBB7Nu3j8LCQs6cOUNhYSH79u1j8ODBmo1OyrL8NPGXQ6t6uhuFA0+jlgO5\niDVr1pCamkpxseu3wOLiYn788UfWrFljUmVSY1ksRkCoppYDqT4KB57GYjPGJItcYO/evS4LR/2c\nt7d36QJSIi6cjvMtCOI2FA48jcULnGoClLISExMpLCws97HCwkISExOruSKp8RwlgFOtkW5I4cDT\nWO3V0rNYap/u3bvTqFEjvLxcP+i9vLxo3Lgx3bt3N6kyqbHO3U7QCCi3o3DgaSxe6jwk5bJYLCxa\ntIiEhAS8vb0JDAzE29ubxMREFi1apCFjUta5zxK1HLgd/Y16GquXOg/JRcXFxbFjxw7NcyCXp7Tl\nQJcSd6O/UU9jtSscyC+yWCz06NGDHj16mF2K1HTnblFadFvB3ei2gqex+UFxrtlViIg7KMkDLMZK\nr+JWFA48jV+UEQ6KTptdiYjUdvmHwTcSrBrK6G4UDjyNPdhYWjVfqzKKyFXKPwh+DcyuQqqAwoGn\nsViM/8wKByJytfIOKRy4KYUDT+TXwPhPLSJyNfIPgb/CgTtSOPBEajkQkcqQr5YDd6Vw4IkUDkSk\nMigcuC2FA0+kcCAilUHhwG0pHHgihQMRqQwKB25L4cAT+UcrHIjI1SnOh8Js4/NE3I7CgSc613Lg\ndJpdiYjUVgWHjQWXfMLNrkSqgMKBJ/KLgpICKDppdiUiUlvlHTI+Syy6jLgj/a16Insd8KqjuQ5E\n5Mqpv4FbUzjwVP4xkJtmdhUiUlvlpqm/gRtTOPBUIe0h+zuzqxCR2ir7OwjpYHYVUkUUDjxVaBKc\n2Gh2FSJSW53YaHyOiFtSOPBUYZ0gK8XsKkSkNirMhjP7FA7cmMKBpwrpAAVH1ClRRCruRAoExIOv\nhjG6K4UDT2UPhKAWaj0QkYrLSjFaH8VtKRx4MvU7EJErcWIjhCocuDOFA09WgX4HRflFVVyMiNQa\nWSkQpv4G7szL7AKk8h3ceJCVz6/kwJoDOIochDYJpfvvu9PmtjZMtEyk/0v96fGHHkbLwbbn+H7W\nNj67fTaP7X+M4PhgTqae5I1GbzD8v8M59O0htn+8He9Ab+5Zfg9vNHqj3HP2fq43fZ7vA0D62nSW\nPrWUg8kHsdltNOrXiAF/G0BoYmjp/q/Hv07i4EQaJDVg1V9WkXc8j5huMQybPIzg+ODqeJtE5Erk\nH4W8DAi9xuxKpAopHLiZ9HXpTOs7jagOUQx9byj+4f4c3XqUU2mnyu4c0g4KT8HZzHKPtexPy0gc\nnMioGaNwFDsIjApk/LrxLvvsmreL1X9ZTVizMAAObzrMtH7TiO4czY3/u5HigmJWPLeC93u+zwNb\nHiCgXkDpc/d+tZcTu04w+PXBFOUVsWjCImbfMZtxa8ZV3hsiIpUrKwWCmoI9yOxKpAopHLiZJb9b\nQnB8MGO/GYvNbgOg8XWNy9/Z5gvBbWDfvnIfjmgZwYgpI1y2xXSNKf3z0W1HSX4zmaTfJNHmtjYA\nrHpxFX4hfty1+C68fI1/XjHdYniryVtseGsD/V7oV/r8ksISbv/ydux+dgAKThaw4DcLyDmYQ1C0\nPnhEaiT1N/AI6nPgRoryishYl0Hbu9qWBoNLCutkjFcuR9OhTS/6tNzjucwaNosGSQ24/s3rS7en\nrUqj2chmpcEAIDgumNhrYznwzQGXY8T1iisNBmCEEYCc9JzLq11Eql+WJj/yBAoHbiQ/Ox+nw1mx\nb92hSXDmx3IfCogMKHd7SWEJH4/+GIvVws2f3ozV6/w/o/ysfALrB5Z5TmD9QPKz8l22+Yb4uvxs\n8zYCTXFB8eXXLyLVx+nUMEYPoXDgRvxC/LBYLeQcvPg3b5uPjZLCkvMbwrqQf7j8iZAsFku52+c/\nMJ8jm49w2xe34R/m71pDqB9njpwp85wzR87gF+p3Ga9CRGqsM/uM2RFD2ptdiVQxhQM3Yve3E3tt\nLFunb6WkqKTcferG1uX49uPnNwS3Yd+2Jpd9jrWvrmXz1M2MmjGKeq3rlXk8rmccu+bscvn2fyr9\nFOlr02nYq+Hlv5gLvB7/OvMfmH/FzxeRSpDxBUT2Ay//S+8rtZo6JLqZ6165jml9pzG191S6PNqF\ngHoBHPv+GEX5RfT4fQ9a3tKStX9by7q/r6Nem3rsmL2DI+kxlz4wcGDNAb7+/de0vKklgZGBZKzP\nKH0sKCaIoJggev6pJ//t9l9mDJpB1wldS0cr+IX60eWRLlf8usZ8PgbfYN9L7ygiVSdjDsTfbnYV\nUg0UDtxM7LWxjP1mLMufWc68++bhdDoJaxJG9z90B6DX073IO57H6pdW4yhx0PautvT5Y3PmPrYH\nnI5fPHbWniycDifbP9nO9k+2uzx2bp6DqA5R3L30bpY9tYzPbvsMq5eVRv0aMfDVgS7DGCsqqkPU\nFT9XRCpBwTHIXAvdPzS7EqkGFqfT6azIE2JiYsjIyLj0jlIrzBk7h4z16QwZM5nFs+8lc28+4S3C\nGTZ5GJFtI1ny5BK2zdyGxWqh/bj29J/UH4vVwondJ1g5cSUHVh8g91guQbFBtLypJb2f7e0yUmGi\nZSL9/tIPnJD8djLF+cU06t+Iof8a6tJfYe2ra/l28recOnAK7wBvwluEM/C1gcR0MVo1zk2aNPS9\noaXP2T1/NysnruTY98ewB9hpOqQpA/42wCWEXO75ReQS9k2BvZNh0HqzK5ErVJHrt1oOhNxjeSyc\nOYzu407g2+4evv7913w0+iMa9W2EPcDO6JmjSV+bzsqJK4loEUG7u9uRczCH4EbBtLylJb7BvmTu\nyGTln1eSk5HDqOmjXI7/7XvfEt05muH/Hc7pg6dZNGERCx9dyOiZowHY8sEWvv7D1/SZ2IeG3Rty\n9vRZDqUcIj8rn42pWaRm5lJY7ICfxdjdC3Yza/gsmo9oTu/ne5N7NJelTy3lUMohfv3tr10CyqXO\nLyKXIWMOxIw0uwqpJgoHQkF2Aff8ryX1iyfBkEnghFnDZlFwqoCR04wPg4SBCeyev5vtn2yn3d3t\naNS3EY36NgLA6XTSsHtDvOt4M+eeOdzwzg341PEpPb5fqB83fXxT6eiHrL1ZrP/HekbNGIXFYuHg\nhoNEto2k19O9Sp8T0COWu6ckk756D3ablSFnzjJv6yHaZ+cRE+LPimdXUL99fW6ZfUvpccNbhDPl\n2ilsnbmVjuM7Xvb5ReQSinPhyBJo/1ezK5FqotEKQkBkAPX7j4Qz++HUTsKaGlMhJwxKcNkvrGkY\np9KNaZiLC4pZ8fwK3mryFpN8J/GC/QU+v/NznCVOsvdluzyv8cDGLhfhiJYRlBSWkHs0F4AGSQ04\nsvkIXz32FWmr0ijKL+LuKcmkncijqMRJXmEJTiecPlvMPVOSOXv6LIc3HabVmFYux43tFkvduLpl\nJlu61PlF5BIOL4aAOKjb3OxKpJqo5UCMUQD2QKh/HRyci83/fsCYN+HnbN620iGKS36/hG/f+5ae\nT/ckplsMvsG+HNp4iC8f+rLMJEblHQfOT3bU7p52FOYW8t3k70h+Mxmbv52YxLpk9ImhxO/8P1Gn\nEw5k5bHh+6Pg5LInW7rU+UXkEjLmQPSIS+8nbkPhQM6LGQn7/gvN7r/krjs+3UGHX3Wg97O9S7cd\n/+H4Lzzj4iwWC50f6kznhzqTeyyXmW+so+DVdTgcTlYPaeSyr91m5XBRMVi46GRL4c3Cr6gOESmH\noxgOzoPeC8yuRKqRbivIedHDjHnTC45dcteivCKXTn8AW2dsveoSAuoF0OG+jhyODyL4RH6Zx4tK\nHDRuGExUhyi2f7ydnw+2yVifwam0U1c12ZKIXOD4KrB6Q/iVz1MitY9aDuQ8v0gI7wqHl1xy14RB\nCWz6zyYiWkYQFB3ElulbOLn/5BWddt6v5+FT14fYbrH4hfnh2HKU6P05/NAp0mU/iwUahvqTFBdC\n3T/3YdawWXx848d0/FVHzhw9w7KnlxHRMoK2d7S9ojpEpBzpcyBmBFj0XdKTKByIq5iRsHkx0PEX\nd7v+rev58sEvWTxhMVa7lZY3tWTwG4OZNWxWhU8Z2z2WTf/dxOb3N1N4ppC6DeuSNKErq0O9sJ/K\nx26zYrFAHR8v/ja+CxaLhaZDmnLr3FtZOXElH43+CO8Ab5oMacKAvw0o06IhIlfI6TT6G3R+z+xK\npJppEiRxlZsG85rCsD0QYG7zvNPpJCUtm9TMXOLDA0iKC9HQQ5HqdORrWHM7jEwHm8+l95caTZMg\nyZULiIMGN8Cef0L7l0wtxWKx0Ck+lE7xoVV6HoUQkYvY9RYk/lrBwAMpHEhZTR+GNWOg9bPg5d7L\nLGdk5xmTLWXlYbdZKSpxEBvqz/RxnYkJ0fTK4sHO7IfDC6HTO2ZXIiZQDxMpK7If+EZCmnsvsOJ0\nOstMtlRU4iTtRB73TEmmgnfcRNzLnnchejj4X96qreJeFA6kLIvFaD3Y/ZbRIclNpaRlk5GVT4nD\n9TWWOJwcyMojJS37Is8UcXPFeT/NefKI2ZWISRQOpHzxd8GZHyFzndmVVJnUzFy8bOX3LbDbrKRm\nanpl8VCp/wP/WIjoaXYlYhKFAymfPRAa32u0Hrip+PAAikoc5T5WVOIgPjyg3MdE3JrTafy/b/qI\n0YooHknhQC6u6UOQPhvyDpldSZVIigshNtQfm9X1A9BmtZROtiTicY6vgrx0iL/d7ErERAoHcnF1\nEiGyP+z9l9mVVAmLxcL0cZ2JC/PHbrPg723DbrMQH+bP9J8mWxLxOLvegoTx4KXROp5MkyDJLzv0\nFay/F0YcAJu32dVUCc1zIPKT3HSYlwhDd0Jgo0vvL7WKJkGSyhM1COxBcOATaHSH2dVUieqabEmk\nxtv7HkQNVjAQ3VaQS7BYoclDbt0xUUSAkgLYO1nDFwVQOJDL0XgsnN4NhxebXYmIVJU974FfA6Of\nkXg8hQO5NO+60Opp2PQ7cJSYXY2IVLbCk/D9C9D+FQ1fFEDhQC5X04ehKAdSZ5hdiYhUth9egpAO\nRh8jERQO5HLZfKDdJNj6JyjON7saEaksuQeMPkUd/qZWAymlcCCXL+5W8KkHu980uxIRqSxbn4HY\nGyG0g9mVSA2icCCXz2I1vl388BcoyDS7GhG5WtmbjWHK7V40uxKpYRQOpGLq94OIHvCDPkxEar1N\nTxrTpAfEmV2J1DAKB1Jx7V8xplQ+vc/sSkTkSh1eDFkp0OopsyuRGkjhQCouuDXE3Q5bnja7EhG5\nEo4So9Wg1Z/AWwuMSVkKB3Jl2v4ZDs6DzGSzKxGRikqdAUWnjFsKIuVQOJAr4x8NzR+Hzb8z1n8X\nkdqhON8YktxukjFEWaQcCgdy5Vo+Cae2Q/pssysRkcu18zVjSHLcrWZXIjWYwoFcOXsQdPwHpDwI\nBcfNrkZELiV7izEUudM/jaHJIhehfx1ydeLvMIY2bnxAtxdEarKSs7Dubmj+BIR3NrsaqeEUDuTq\nWCzQ6T04vhpSZ5paSuqKVCZaJpKxPqN024rnV3Bg9YEy+74e/zrzH5hfneWJmGvbRLDYoPUzZlci\ntYCX2QWIG/CNgM6TYd1YiOwD/jGmlBHVMYrx68ZTr3W90m0rJ67Ey9eLhj0auuw75vMx+Ab7VneJ\nIuY4vg52vQGDNoDN2+xqpBZQy4FUjpgREDsS1o8z7faCT5APMV1j8A689IdfVIcoQhppfLd4gOJc\nWH8PtHnemKNE5DIoHEjl6fg65OyCPf/8xd3S16Uz0TKRYz8cK902/4H5TLRMZOfcnaXb1r66lldC\nX8HpdLJ1xlam9p7KX8P/yst1X+Y/Xf/Dnq/2uBz3wtsKEy0TAVj6x6VMtExkomUiqStSgbK3FeaM\nncPbzd8mfW06/+70byb5T+K9du/x49Ify9S/6qVV/D3670zyn8SMwTPI2JDBRMtENk/dXLH3S6Q6\nbPo9+EZC8wlmVyK1iMKBVB7vutD1fdj8JJzee9HdojtFYw+wl16oAdJWpuHl61VmW1yvOCwWCydT\nT9Lq1lbcOOtGbv7kZqK7RPO/If8r9+J9zvh14wFIejCJ8evGM37deKI6Rl10/9xjucz79Tw6P9KZ\nMbPH4F3Hm49GfUR+1vklqje+u5FlTy2j1ZhW3DrnVmK7x/LZbZ9dxpsjYoIjX8P+adBtGlhtZlcj\ntYj6HEjlqt8PGo+DdffAdd+U+4Fk9bISe20saSvS6PxQZ3KP5ZK5M5POj3YmbUUaAE6HkwOrD9Dr\n2V4A9PpTr9LnOx1OGvVrxImdJ/j2X9/SuH/jckuJ6Wr0fagbW7f0z7+kILuAe5bdQ/329QEIjg/m\nnRbvsOerPbS9oy2OEgerJq2izR1tGPT3QQAkDEygKLeINa+sqcCbJFINCk/C+nuhw6sQWP7/EZGL\nUTiQytf+ZfiqA+x8FVr+vtxd4nrHseGNDYBxO6BOdB06/qojG9/eSH52Pif3n6TgZAHxveMBOL7j\nOMv/tJwDaw6QeywXfurWENkustLKDqgXUBoMAMKahmGxWchJzwEgJyOH04dO03xkc5fntbixhcKB\n1DzfPgZ1W0Pir82uRGohhQOpfF7+0G06LO0HUddDSNsyu8T3jmf5n5Zz7IdjpK5MJb53PPVa18Mv\n1I+0b9LI/jEbn7o+1G9fn7OnzzJj4Ax8g3257pXrCGkUgt3fzvJnlpO9P7vSyvYNcR29YLFasHpZ\nKS4oBuDM4TMA+Ef4u+wXUC+g0moQqRTpnxtrn9zwvTHcWKSCFA6kaoR3MdZeWHcnDFgL9kCXh6M7\nR+PlZ/QxSFuZRpfHumCxWIjrFUfqilRO7j9Jwx4NsVgtZKzPICcjh1tm30J0p+jSYxTlF1XrSwqM\nMl5D3vE8l+25x3KrtQ6RX5SbDsn3Q9I74N/A7GqkllKHRKk6bZ4Dn3BYdxc4HS4P2bxtxHSNYcen\nOzi+/Xjp7YO4PnGkLk/lwKoDxPWOA6AozwgBXr7ns2z2/mzS16RfsgSr/fw3/6sVFBNEnQZ12Dln\np8v2HZ/tqJTji1y1ojOwchjEjtbaCXJVFA6k6ljt0ONTOPUDbHmqzMNxvY1WgsD6gYQ1DQMgvk88\nR7ccJT8rvzQwxHaLxbuON18++CV7F+5l2/+28cGADwiKCbpkCREtItg1dxepK1I5lHKIs6fPXvnL\nsVnp+XRPts3cxqIJi9i3ZB8rX1jJDx//ABi3IURM4yiBtXcYgTzpLd1OkKuicCBVyycUes+HvZPh\nx6kuD527+J/7HaBe63r4R/jjHehdOuwwoF4At3x2CwWnCvho1Ees/PNK+jzfp7Rl4Zfc8M4NWKwW\nZt4wk393+jeHvz18VS+n04Od6DepH99/+D0fjviQA98cYMi7Q4yXWlfL34qJtvwRcnZCz0+MYC5y\nFSxOZ8Wms4uJiSEjI+PSO4r83JGlsHI49P0K6vW69P412OqXV7P0j0t5zvkcAMnvJPPVw1/xWOpj\nBMcFV/h4Ey0T6f9Sf3r8oQcAm6duxuplpe2drh05L7b9alz4WqSW2vc+bHoCBm6AoCZmVyM1VEWu\n3+qQKNWjfn+45h+warTxAVYnweyKrsiJ3SfYu9CY4OnHpT+SsS6D1S+vpvmo5qXBwOl0kpKWTWpm\nLvHhASTFhWD5hSbe8evGU7dh3dKfN0/djJevV7nhoLzt4uGOroSUh6HPfAUDqTQKB1J9En8Np3YY\nHaYGrjNmVKxlvPy8OH3wNAAzB88kIDKADuM70P8v/QHIyM7j7inJpGflYbdZKSpxEBvqz/RxnYkJ\n8S/3mJczQZNIuU7vNQL3NW9AZF+zqxE3otsKUr0cJfDNcHAUQ58FYDUvn2ZsyGDNy2s4mHyQ/Ox8\nQhqF0GF8B7r+tmtp58IzR87w5UNGR0jvQG86/rojdj87y55eVtoUn7oilWl9p3Hbgtt4/U9LCfkh\nkxIvK993rs/3XeoTv+ckndccIvhMETFdYhjx/giXloKf31aY2mcqaSvTXOrs/Vzv0iGfF27v83wf\nAPYu3Ms3L3zD4U2H8fLxounQpgz6xyD8w88Hkst5LVKLFJ6Exd2gwQ3Q8TWzq5FaQLcVpOay2qD7\nLFjcHb79LXR627RSTiE7n1cAABkNSURBVKWdokGnBnQY3wF7gJ3D3x1mxfMrKDhZQN8/G9/CPhr1\nEVl7sxj85mACIwPZ8OYGMndklnu8OQ8s4FjDQDaNSiRudzadVmTgU1BM9P4cUrpH8dvrmrJ30mrm\njJ3DPcvuKfcYQ94dwuw7Z+Pl48WgfxhTNAfFBNHqllblbgfYOWcnH9/4MW3uaEPPp3tScLKAZU8v\n48ORHzJu9bjSY1fktUgN5yiC1bdAYCK0/6vZ1YgbUjiQ6mcPgt7zYFFnqNsCmj5kShmtbmlV+men\n00lczzhKzpaw4Y0N9P1zX/Yu2kvG+gxu//J2mlxv3MtNGJjAG43fKPd4fj1j2Z4QSF5hCUca1iFu\ndzYtU47y6f1tsIT6cbZTFD3+0IOvHvmKvMw8l2/150S0jMAnyAcvX68ytxvK2+50Olk0YRHNRzZn\n1PRRpdvDW4QzueNk9i7cS+LgxAq/FqnBnE5jauSCIzBgjRZUkiqhcCDmCIyHXnNg2QBjUZgG11d7\nCfnZ+aycuJKdc3Zy+uBpHMXnJ2oqOFlAxvoM7AH20ospGJM3NRvejJR/ppQ5XsLABIp2G0MlnVYL\nZ+r6YHFCfqA39v9v786jqywPBIw/NzchG1tYEnbCJggIiigIioKIWDs6ilZr3apt1al1qjO21bHV\nqWOt045Vezy1amlrq1hXQAW0AhZwASyKbAIihH1LCEtCArm588cHgbegCCUmIc/vnJwkN3d5E3L4\nnnzL+yYqyW+RTbM98zlsW73toHFwuIqWFlG8vJjhDwwPxp93Qh7ZudmsmbWGriO7Hvb3olps8cOw\n6kU4dxakNarp0egYZRyo5rQcBANHw4xL4YyXofU5X+rLj7t2HAXTChjykyHk9ckjo0kGH4/9mOn3\nTaeirIId63aQ3fLAdROy8w6+lsIJx7Wg/eatFBSWkqhMkojHSKSmEE+J0aFZFv075lCwIlrE6WjN\n2liyKZq6+YWvvXDQr29duRXgsL8X1VJLH4N5d8PQNyD70PN8SEfKOFDN6nhZdHLi9IuiPQmthn8p\nL1tRVsGS15Zw9v1nc9qtp1XdvuTVJVUfN2zdsGrju7+SDQdfSyEWi/HUdadWXa0QT4mRjEF+8yye\nun7A517OeKSymkd7H0Y+PJL2g9of+PU9eycO93tRLfTJ4/DhD+GsidHaJVI1Mg5U8zp9A0jCtH+F\nIeOiORGqWUV5BclEMlivoTJRyfwx86s+bzegHbtLdrN04tKq3fGJXQkWj1/8mc/bLieLybedyfsF\nW3hr0iqyGjbgsdvOPKwwiDeIH3TPwsFub969OU06NKFwaSEDbvnsDcaRfC+qRT55Aub8ZzSJWMtB\nNT0a1QPGgWqHTldGizNNuxCGjIdWw6r15TKaZNB2QFvefuBtsltmk5adxqxfzwqO23cd2ZW2p7Zl\n7NVjGf7AcLLzspn1yKxDPncsFuOU/GYsaBSdQHi4ewxaHN+CD0d/yMfjPqZx22ixp0ZtGn3m7SMf\nGcnzlzzP7tLddL+gO+mN09m2ehufvvEp/b7Tj45ndDzi70W1wLLfwZz/iC79bTm4pkejesK1FVR7\ndL46WmZ22oWw/s1qf7lRz4yiZc+WjP/WeF79zqu06d+G0+84PbjPZWMvo8PpHZhw8wTGfXMcrfq1\nov9N/at1XIN/MJiOQzoy7tpxPHHKE/z98b9/7u09LuzBVX+9im0rt/HyVS/zzPnPMP2+6TRo3ICc\nzjk1+r3on/TJE/D3W6PZD3PPqOnRqB5xEiTVPsv/BLNuhMHPQLsLa3o0Us1Y9CDM/+9o4TLDQEeB\nkyCpbut0FaQ2hLevgFMf33NOgr4Mh7suhKpBMgnz7oGlj8LZU6DZyTU9ItVDxoFqp/Z7rl6YfjFU\nbINuN9X0iI55R7IuhI6yZCXMuQ1WPg/Dp0GTnjU9ItVTnnOg2qv1OTB0Enx4Byx8oKZHc0xLJpNc\nPXoWBYWl7E4kKd2VYHciSUFhKdeMnsVhHn3UkahMwMxvw+rxcM50w0A1yjhQ7dZyMJw9FRb9X3Qe\nQmJXTY/omPR+wRZWF+0kURlGQKIyycqiUt4v2FJDI6sndm2JVistfC8Kg4ada3pEqueMA9V+zU6C\nkbOhcDZMHgo719X0iI45KzaXkBo/+LkFafEUVmx2sqRqUzwfJp0SrVB6zjuQ1bamRyQZB6ojsjvC\nOTOiv6gmnQyb3q3pER1T8ltksztRedCv7d6zLoSqwcrno2WX86+MzrFp0OTQj5G+BMaB6o7UTDjt\nKej5I5gyPJpOVkdF/445tG+WRTwl3Huw/7oQOoo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_closest_2d(vecs,'house',10,'tSNE')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since t-SNE is stochastic, it can give different results every time it is used with exactly the same data and parameters. Here is another output." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "10 words most similar to 'house' (tSNE)" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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FecUYTqPGPnWHNAyp8rjjpINPr/4Um4+N6z67Dh/fM7/+4txiQhuFVnpMaKNQinOLXY4F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\nOOhDpv1+Gge2HSC9W805ClJHdn0NX7WDonlmbkHb/zEXJhM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_closest_2d(vecs,'house',10,'tSNE')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, it is also possible to combine t-SNE with PCA and have a (more) stable outcome. Here is an example of the same 10 words most similar to 'house'. Note that 'park' is roughy the same distance from 'house' as 'lane' even though 'lane' is the closet word to 'house' and 'park' is the 6th-closest." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "10 words most similar to 'house' (tSNE-PCA)" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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IsWPHaNnSPH+DzWZj0KBB7j4DX3zxBX379uWFF17gvffeo1UrY6hob29vhg4d\nWiWnXeOEJsCOP3i6CpEaQ7cVRDzp9FYI7V6qI9zo0aMBeOGFF0zLU1NTWb16NSNGjMDf3x/AfTFf\nu3atad3XX3+9VMtBZmZmqRI6deqEl5cXWVlZAHTt2pUOHTrw5ptvlnnrorCwkHPnzpXnLGu+sATI\n2QUleZ6uRKRGUMuBiCdlfwWhV5daPGzYMMaNG8d7771HZmYm11xzjftRxoYNG/LSSy+5123bti2D\nBg3izTffxOVy0bFjRzZu3MiGDRsIDw837ffuu+/m6NGjDBs2jJiYGHJzc5k9ezYlJSXceeedgHGb\nYtasWQwePJiOHTsyefJk2rVrx7lz59izZw/z5s1j/vz5peeGqM38I41bPNk7IKK3p6sR8TiFAxFP\nyj8Mjct+JHDOnDl06dKF9957j2nTphEYGEhSUhJ/+tOfSo1xMHv2bO6//35mzpyJ1Wpl2LBhJCcn\n079/f9N6d955J++++y4zZ87k1KlTNGzYkKuuuoolS5Zw7bXXutfr1q0b27Zt49lnn2XevHkcP36c\n4OBgWrRowSOPPEKnTp0q/7PwJIsF7LHG/x4oHIhoVkYRT1rcFq5+HZoO93QlV2TD8xtY8/ga/uj6\nY6Xsb7plOkOeG0K/3/YDYPvM7Vi9rHS6wxxGLrW8Ijb8+tesebtZpZ2LSE1Tnuu3Wg5EPCn/KPjX\nsZ7/FTBl4xQaNm/ofr195na8/LzKDAdlLa8Q7waVty+RWk4dEkU8pfgclJyr1eHgQsPjzJkz2bBh\nwyUHVrpcUb2iCGoWVBmllZ+XwoHIBWo5EPGU86fAYgOfEE9XQsbmDD5//nOOpB6hILuAkLgQuk7p\nSq//6YXFajxJkXs8l6X3L+XA8gP4BPrQcnxL3p/7Pp3pzIMPPkhRURE9G/dkyOEh3Lb0Nna8v4N9\ni/fh5edFn//rQ9//68vu/+5m3e/XcSb9DFE9o7jh3RtMLQU/vq0wc+BM0lPS3csBEv+YSFpyWpnL\nBz41EIADyw/w2TOfcWzbMbx8vWh9XWtGvDKCgPAA93F+ei7d7umGt80O1LGnMESukMKBiKc4i8Hq\nUyPG8z+bfpZm3ZvRdUpXvO3eHPvqGMlPJVN4ppBBTxsdJj8c8yFZB7JIej0JeyM7r9zyCnH5cQDk\n5uYCcPTIUQCW3r+UTnd0Yvz88eyev5vVj62mIKuAgysOMvDpgQAsf3g5CyYtYOLaiWXWNPLNkcy/\nYz5evl6MeGUEAA2iGtBhXIcylwPsWbCHj278iKtuv4r+T/Sn8Ewha59YywejP2Dyhsnuff/4XAIb\nB7L59c1k7syv3A9VpBZTOBDpAuyIAAAgAElEQVTxFGeJ0XJQA3QY18H9t8vlIqZ/DI7zDja/tplB\nTw/iwIoDZGzK4Lalt9HqmlZs2LCBWSWzuBfziIIOpzGuQlD3IHeoiB0Uy+75u9n86mYe+u4hgpoa\ntw1yj+Wy7MFl5Gfmm77VXxDRPgLfBr54+XkR1SvK9F5Zy10uFyumraDt6LaMmTXGvTy8XThvd3ub\nA8sPEJ8UX+pcAFoOb8lrMc9X4BMUqVsUDkQ8xWIFKnaPvrIUZBeQMj2FPQv2cO7IOZwlTvd7hWcK\nydiUgbfd230xPXDgADYfG3uL9tKd7qX2dz7qvPtvq81KSIsQXA6XOxgAhLUOAyAnI6fMcFBeWfuz\nOPP9GYa+MNRUf+OrGmNvZOdI6hHik+JLnQuAzcdGmyEBbJ2TU9auReodhQMRT7F4Ga0HNcDCSQtJ\n/yydAU8OoHGnxvg19GPPgj2sf3Y9JYUl5B7LxR5hd68fHx9PUVERueSWub/mrZubXtt8bHj5eZVa\nBlBSWDmfQd4pY3TDT8Z9Uub7Zw+dBSh1LhfYwzx/e0ekplA4EPEULzs4z4OjCGw+HiujpLCEfUv2\nMeS5IfR+5OIAQPsW73P/Hdg00H3xBejbty9xcXEE7QsyNX7YrDZw4pFBkgLCjNaHpNeSiO4TXfr9\nH1onfnouF+SdKqzaAkVqET3KKOIpfo2MWwuFxz1aRsn5ElwOl+mbvdPh5Ju537hfR/WMojivmP3L\n9gPGEMtLFy2lva09AIGBgfj4+BAZGel+vzLYfGxltiyUtTysTRgNmzfk9P7TNEtoVuonODa4zHMB\ncBQ52LtG4UDkArUciHiK1Qv8GkPBUbA3/+X1q4hfQz8ie0by+QufY4+w4233JvVvqab79vFJ8UT2\niGTBhAUMfWEo9sZ2Ul9PpXHjxpw7co6//e1vxMfHE1kcyazBsyqttvB24WyfsZ09C/fQILIBQc2C\nCGoWdMnlSa8n8fFNH1OcX0yb69vg28CXnIwcvlv5Hd3u6UZM/5hLngsuB/onUcSglgMRT/JvZoQD\nD7vxPzcS0T6CT3/1KYvvWUyzhGb0e7yfaZ3xC8bTvF9zlj6wlIV3LaRJtyYk3JsAwKRJk+jXr1+l\ntRhc0PexvsQMiGHhpIX8q/u/+PLtL392edsb2nLnqjvJOZTDf+/8L/8Z+R/WP7senwY+hLS4OJ5E\nmecySsPCi1yguRVEPCnlBmgyFNo86OlKZHF76PYSNLvG05WIVAnNrSBSWzRoDWd3eboKcZyH3AMQ\ndPHxRpfLxdb0bNIy84gNt5MQE1LpLSMiNZXCgYgnhSbA7r96ugo5sxO8AiGwJQAZ2flMmJHK4ax8\nvG1Wih1OokMDmDW5B1EhFR+TQaSmU58DEU8K6w5ndhjfXMVzsrYYQc1iweVyMWFGKumn8yl2uMgv\nclDscJF+Op+JM1IrPLmUSG2gcCDiSfY48AoyAoJ4zumtRlADtqZnk5FVgMNpDgEOp4tDWflsTc/2\nRIUi1UrhQMSTLBbjopS50dOV1G+nN0GoEQ7SMvPwspXdt8DbZiUts/QASiJ1jcKBiKc1TYIjiz1d\nRf117iCc2w9NBgMQG26n2OEsc9Vih5PY8NJDL4vUNQoHIp4WdQOcTIaiM56upH7KWAiNB4O3Me1z\nQkwI0aEB2Kzm1gOb1ULz0AASYkLK2otInaJwIOJpgXHQoD0cXerpSuqnjAUQNdr90mKxMGtyD2LC\nAvC2WQjwseFtsxAbFsCsKT31OKPUC3qUUeqc4oJivP29PV1G+USNhsP/hdjbPF1J/VJ4CjK/gL4f\nmBZHhQSwZlqixjmQekvhQDzqyJYjpDyVwqHPD+EsdhLaKpS+v+nLVbdexXTLdIY8N4R+v704jO83\nH3zDvFvn8fD3DxMcG8yZtDO8Fvca179zPUe/PMquj3bhE+jDxHUTeS3utTKPmfjHRAY+NRCAw18c\nZs3v1nAk9Qg2bxtxg+MY9tdhhMaHutd/NfZV4pPiaZbQjPV/Xk/+qXyiekcx6u1R7sl8Kqz5zbDi\nL3D+NPiGVc4+5ZelzYbw3hDQrNRbFouF7rGhdI8NLWNDkbpN4UA85vDGw7w36D2adm3KdW9dR0B4\nACd2nOBs+tly72vt79cSnxTPmNljcJY4CWwayJSNU0zr7F20lw1/3kBYG+Pie2zbMd4b/B6RPSK5\n8T83UlJYQvIfk3m3/7tM/Xoq9kYXO54dWHaA03tPk/RqEsX5xayYtoL5t89n8ueTK/YhXBDcAcJ6\nwsF3oP1jlbNP+XkuJ+x7Azo/6+lKRGochQPxmFX/t4rg2GAmfTYJm7cNgBZDW1zRviLaR3DDjBtM\ny6J6Rbn/PrHzBKmvp5JwbwJX3XoVAOv/tB7/EH/uXHmne7riqN5R/K3V39j8t80Mfmawe3tHkYPb\nlt7mvl1ReKaQJfcuIedIDg0iG1xRzaW0fgC2PQptHwWrrXL2KZd2dBk48iF6rKcrEalx1CFRPKI4\nv5iMjRl0urOTOxhUROvrWl/yvbxTecwdNZdmCc245vWLk+qkr0+nzeg27mAAEBwTTHSfaA59dsi0\nj5gBMaZ+DBHtIwDIOZxT4drdom4wvs0e1WON1WLf3yB+KlhrWf8UkWqgcCAeUZBdgMvpqrRv3fbG\nZT977ihy8NHYj7BYLdz8yc1YvS7+J1+QVUBgk8BS2wQ2CaQgq8C0zC/Ez/Ta5mMEmpLCkoqWfpHV\nC1rdZ8y1oCF6q1b2DjiRDPH3eLoSkRpJ4UA8wj/EH4vVQs6RS3/ztvnacBQ5TMt+etG+4FK9yBdP\nXczx7ce59dNbCQgzT5jjH+pP7vHcUtvkHs/FP9T/l06harS+3xiQ58gizxy/vtj+GyOI+TfxdCUi\nNZLCgXiEd4A30X2i2TFrB45iR5nrNIxuyKldp0zLDq44eNnH+OLFL9g+cztjZo+hUcdGpd6P6R/D\n3gV7Td/+zx4+y+EvDtN8QPPLPk6l8g6Cq54yLl7OSmyVkIuOr4bMTdDxCU9XIlJjKRyIxwx9YShn\n0s4wM3Em33zwDd+v/Z7Nr29mwwsbAGg/rj275+9m48sbObjqIIvvNVoBLsehzw+x+jeraX9TewIb\nB5KxKcP9k5NhtFb0/31/CrILmD1iNnsW7uGbD7/h/WHv4x/qT88He1bZef+ilr8y+h4cfMdzNdRV\nLids+z/o8Ds9MiryM/S0gnhMdJ9oJn02iXV/WMeiuxfhcrkIaxVG39/2BWDAEwPIP5XPhuc24HQ4\n6XRnJwY+PZCFkxb+4r6z9mfhcrrY9fEudn28y/TehXEOmnZtyoQ1E1j7u7XMu3UeVi8rcYPjGP7i\ncNNjjNXO6g1dnoct90LMOPDRcL2V5ruZcD4L2jzo6UpEajSLq5yTk0dFRZGRkVFV9YgIGB0SU643\nxvvvO8fT1dQNeYdh6VXQ+32IGuXpakSqXXmu37qtIFIJXC4XW9Ky+HjrYbakZVHOzF2axQI934Zj\ny+HQJ5VTZH3mcsLmyRB9o4KByGXQbQWRCsrIzmfCjFQOZ+XjbbNS7HASHRrArMk9iAoJ+OUdXIp/\nU+j+D9gyFSL6qWd9Rez/h/EUSP95nq5EpFZQy4FIBbhcLibMSCX9dD7FDhf5RQ6KHS7ST+czcUZq\nxVsQYsZBk2GwaRI4y36qQ37BmZ3G0x+9ZrqnZRaRn6dwIFIBW9OzycgqwOE0hwCH08WhrHy2pmdX\n/CDd34K8Q7Dtfyu+r/qm4AQkXwftfgONB3q6GpFaQ+FApALSMvPwspU9AJO3zUpaZl7FD+LTEBIX\nQdr7sP+fFd9ffeEohM9GG7dkOv7e09WI1CoKByIVEBtup9jhLPO9YoeT2PBKeiQyqCX0/y98NQ2O\nr6mcfZbTzIEzmZ002yPHLjeXCzZNNjp29nrH+C0il03hQKQCEmJCiA4NwGY1X3xsVgvNQwNIiKnE\nMQoa9Yfub8L6GyFzc+Xtt65xuYwQlfmFEahsfr+8jYiYKByIVIDFYmHW5B7EhAXgbbMQ4GPD22Yh\nNiyAWVN6XnLOhyvWYiJ0egbWjYDM1Mrd9yUUFxRXy3Eqhctl9M04/AkMWQv+jT1dkUitpEcZRSoo\nKiSANdMS2ZqeTVpmHrHhdhJiQio/GFxwYXS/dcOMvgiNBrBg0gIyNmVw7RvXsvLRlWTuySQ0PpTh\nLw4nPikegP3L9rP5tc0c33acorwiwlqF0euRXnSe0Nm967TkNN4b9B63LrqVnf/Zyf6l+2natSkT\n100sVYazxMnCyQvZv3Q/ty+7ncjukVVzvpfL5YQt98PRJTAkGQJbeLYekVpM4UCkElgsFrrHhtI9\nNrR6DtjmQfCyQ/K10HsWYCXvZB6fTv6UAU8OILBxIJtf38zc6+cydftUItpHcOb7M7Qc0ZJe/9ML\nq7eVQ+sP8emUT3GWOOk6uatp94unLqbjLR0Z98k4KCPjlBSW8Mn4Tzi69SiTUibRqEPpia2qVUm+\n0ccg+ysYtgHsHpo4S6SOUDgQqa1aTjYmD/riTsh6hMJsK2PnjKXVNa2Mt4e35LUWr7H+2fWMnTOW\n7vd1d2/qcrqITYzl3NFzbH1ra6lwEJ8Uz/AXh5d52PPnzvPB9R9w9vBZ7tpwFyFxHp77ITcN1o8B\nr0AYul63EkQqgcKBSG0WdQOM2AT/fAFvvxhaDQl3v2XzsdHm+jbuaa5zMnJY94d1HFx1kNxjubh+\nGJvBt6Fvqd22vq51mYcryCpg1uBZlBSWcNf6uwhqGlQFJ1UOx1fD57dA81ug28tg8/FsPSJ1hMKB\nSG3XsD1EjsQevB2WdzcmForoDYC9sZ1zR8/hcrqYO2ou+afzGfD7AYS1CcM3yJct/9jCzjk7S+3S\n3rjsRzCzDmRReKaQAX8Y4Nlg4CyGXS/At89Bwt+h5V2eq0WkDlI4EKkLrD7knQuE+Htg7VCIvxs6\nP0veiTwCmwaSdTCL49uPc9NHN9Hh5g7uzVyOsod3vlRnysgekbQd3ZYl9y3BL9iP3o/0rpLT+VlZ\n24xJlJzFMOwzCL26+msQqeP0KKNIHVGcV8z+9DFwzVeQ9SWOBZ3Yu2AHUb2iKM43Hkf08rv4feB8\nznn2frq33MdJmJrANa9fw8pHV5L69+p5nBIwRjzc/jis6guRN0DSVwoGIlVELQcidYRfiB9Lpi4h\n8Y+J2Bv9m9TX5pF3soD+Iz4mrGk8DaIbsOa3a8AFjmIHG57bgH+Ivzs4lEePB3rgdDhZ9tAyrF5W\nEqYmVMEZ/cBZAmmzYed08I2AEZsh+KqqO56IKByI1BX2Rnau+Zvxjf703tOExodyy8cJNIqeDet6\ncctTt7L0rav55JZPsDey0/OhnpzPOc+G5zdc0fF6PdwLl8PFkvuWYPW20m1Kt8o9IZcTDn0CO580\nbiF0egZibgWrrXKPIyKlWFzlnFM2KiqKjIyMqqpHRK7AhUGQHtjzQNkr5KXDzqchbQ5E3witphoT\nEtXEOQeKz0Haf2D/G3A+C656ElrcBVZvT1cmUquV5/qtlgOR+sAeY0xA1P63sP9NSLkeAppB/K8h\n7k7wqfhYBS6Xq2KjRGZtgwP/NAJMUGto/QDETdDcCCIeoHAgUp80aAVXvwKd/wyHPjYuxtseg8aD\nIPI6aDYSAmPLvduM7HwmzEjlcFY+3jYrxQ4n0aEBzJrcg6iQgLI3cpYYkyMdWWwMeZyXbtw2GLIO\nwqqwD4OI/CLdVhCp73L2w9HFxkX65GfQoA00GWY8CRDaDYLa/Ox9fpfLxZCXU0g/nY/DefGfE5vV\nmIBq9bREowWh6CxkbzeGOM7cBMdWGoMWNRtp/DQdDt4eHlRJpA4rz/Vb4UBELio6C8dWGCEh+yvj\nYg4Q3BmCWoF/04s/fk3AO5BvjuXx23nf4HQ68LKUEOqVQ4RXNhFe2TTxyWJUKxchRXsh9wAEREFI\nNyN4NE0yWggseqJapDooHIhI5XA64Nw+yPoScr+HwmNQcBwKjhl/l+RTVFzE+eJiil1eOFxWzjiC\nOFkcwsmSUM44Q+nWpj2dO/aD0K7g5+EJmkTqMXVIFJHKYbVBw3bGzyV8nZbFbf/aRHEZoy162yz8\nZ1QvaFZNs1WKSKVQe56IVEhCTAjRoQHYrOYnE2xWC81DA0iI8fCsjSJSbgoHIlIhFouFWZN7EBMW\ngLfNQoCPDW+b0Rlx1pSe5XucUURqBN1WEJEKiwoJYM20xIqNcyAiNYbCgYhUCovFQvfYULrHqn+B\nSG2n2woiIiJionAgIiIiJgoHIiIiYqJwICIiIiYKByIiImKicCAiIiImCgciIiJionAgIiIiJgoH\nIiIiYqJwIPXGq7GvsnjqYk+XISJS42n4ZKk3xv93PH7Bfp4uQ0SkxlM4kHqjademni5BRKRWUDiQ\nClswaQEZmzIY+Y+RrJy2ksw9mYS3C2fU26No3Kkxqx5bxc45O7FYLXSZ3IUhzw7BYrVwet9pUqan\ncGjDIfJO5tEgugHtb2pP4pOJePld/E9zumU6g/88GFyQ+vdUSgpKiBsSx3X/vI6AsAD3el+8+AVf\nvv0lZw+dxcfuQ3i7cIa/NJyonlGAcVshPime6966zr3NvsX7SJmewslvTuJt96b1yNYM++sw7I3s\n5T6+iEhdoXAglSLvZB7LH15O39/0xS/Yj9W/Wc2HYz8kblAc3nZvxs4Zy+EvDpMyPYWIdhF0ntCZ\nnCM5BMcF035ce/yC/cjcnUnK0ynkZOQwZtYY0/6/fOtLIntEcv0713PuyDlWTFvB8oeWM3bOWAC+\nfv9rVv92NQOnD6R53+acP3eeo1uPUphdeMma9y3Zx9zr59L2hrYkPpVI3ok81vxuDUe3HuWeL+8x\nBZRfOr6ISF2icCCVojC7kInrJtKkcxNjgQvmjppL4dlCRr83GoCWw1uyb/E+dn28i84TOhM3KI64\nQXHG6i4Xzfs2xyfIhwUTF3DtG9fiG+Tr3r9/qD83fXQTFosFgKwDWWx6ZRNjZo/BYrFwZPMRGndq\nzIAnBri3aTOqzc/WnPxkMk26NGHc/HHu/Ya3C2dGnxnsmLODblO6XfbxRUTqEoUDqRT2xvaLwQAI\nax0GQMsRLU3rhbUO49SuUwCUFJaw4fkN7Jyzk7OHzuIocrjXyz6YTZMuF/fXYngL00U4on0EjiIH\neSfyCGwSSLOEZmx5cwvLHl5G+5vaE9k90vTN/6eKcos4tu0YQ54bYtpvdO9oGsY05NBnh0zh4JeO\nLyJSlygcSKX46VMANh8bAP4h/qWWlxSWALDqN6v48q0v6f9Ef6J6R+EX7MfRLUdZev9S9zoXlLUf\nwL1e54mdKcor4qu3vyL19VS87d50uLkDw18ajn+oeVuAwjOF4KLMC3tgk0AKsgrKdXwRkbpE4UA8\nZvcnu+n6q64kPpnoXnbq21NXtC+LxUKP+3vQ4/4e5J3MY8/CPax8dCUul4vRM0eXWt8v2A8skHs8\nt9R7ucdzCW8TfkV1iIjUBRoESTymOL+4VNP/jtk7KrxfeyM7V999NS2GtnDfwvgpn0AfmnZtyq6P\nduFyudzLMzZlcDb9LM0HNK9wHSIitZVaDsRjWo5oybZ/byOifQQNIhvw9ayvOfP9mSva16J7FuHb\n0Jfo3tH4h/lzYscJDq44SM//6XnJbQY+PZC5o+by0Y0f0e1X3cg9kcvaJ9YS0T6CTrd3usKzEhGp\n/RQOxGOu+ds1LL1vKSunrcTqbaX9Te1Jei2JuaPmlntf0X2j2fbONra/u52i3CIaNm9In8f6mJ5e\n+KnWI1tzy8JbSJmewodjP8TH7kOrka0Y9tdhP9uZUUSkrrO4ftymehmioqLIyMioqnpERESkCpTn\n+q0+ByKVxOVysSUti4+3HmZLWhblzN01SlpyGtMt08nYdPEfkuSnkjm04VCpdTWhlUjdo7ZTkUqQ\nkZ3PhBmpHM7Kx9tmpdjhJDo0gFmTexAVUvuGWG7arSlTNk6hUcdG7mUp01Pw8vOieT9zZ01NaCVS\n96jlQKSCXC4XE2akkn46n2KHi/wiB8UOF+mn85k4I7VWtiD4NvAlqlcUPoE+v7hu065NCYkLqYaq\nRKS6KByIVNDW9GwysgpwOM0hwOF0cSgrn63p2VV27MMbDzPdMp2T3550L1s8dTHTLdPZs3CPe9kX\nL37BC6Ev4HK52DF7BzMTZ/KX8L/wfMPn+Xevf7N/2X7Tfn96W2G6ZToAax5fw3TLdKZbppOWnAaU\nvq2wYNIC/t727xz+4jD/6v4vng14lrc6v8V3a74rVf/659bzcuTLPBvwLLOTZpOxOYPplulsn7m9\n0j4jESk/hQORCkrLzMPLVvb8Ct42K2mZeVV27MjukXjbvd0XaoD0lHS8/LxKLYsZEIPFYuFM2hk6\n3NKBG+feyM0f30xkz0j+M/I/ZV68L5i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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_closest_2d(vecs,'house',10,'tSNE-PCA')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Evaluating dimensionality reduction techniques\n", "\n", "The main advantage of using dimensionality reduction is that the results can give us an idea of _groupings_ of words in a way that the similarity lines cannot. However, given that it is in general impossible to preserve _all_ of the distances in a high dimensional space when we reduce it down to a lower number of dimensions, the groupings we see in the reduced version must be taken with a grain of salt, as can be seen from the differences across the different techniques. The choice of dimensionality reduction technique thus depends on external factors, such as speed. It might also be prudent to try more than one, as we have done here.\n", "\n", "Incidentally, this issue with dimensionality reduction raises the issue of the appropriateness of the visualizations commonly used to show language change using word vectors (e.g. [[1]](#ref1), [[2]](#ref2), [[3]](#ref3), since they use dimensionality reduction to create the two-dimensional visualizations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing the vectors\n", "\n", "The previous section was concerned with visualizing words to see similarities. The actual values of the word vectors were not relevant. In this section, we will explore a couple ways to visualize the values.\n", "\n", "However, we need to be careful in how we use these visualizations, since dimensions do not have any inherent meaning. The most we can do is use these visualizations to _compare_ vectors, to see which components have similar values and which don't.\n", "\n", "For the purposes of these visualizations, I am using normalized vectors (so the *length* of each vector is 1. This is also true of the preceding visualizations, but it was not relevant, since we were dealing with similarities of whole vectors, not the components of the vectors." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Encoding with color\n", "\n", "One simple way to visualize the components of vectors is to assign each value a color, and then show them as shapes along a horizontal axis, representing the dimensions. In the first example below, we'll use 'house' and some of its most similar words, from the example above." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def compare_words_with_color(vecs,wds):\n", " wdsr = wds[:]\n", " wdsr.reverse()\n", " \n", " display(HTML('Word vectors for: %s' % ', '.join(wdsr)))\n", " \n", " vs = [vecs.get_vector(wd) for wd in wds]\n", " dim = len(vs[0])\n", " \n", " fig = plt.figure(num=None, figsize=(12, 2), dpi=80, facecolor='w', edgecolor='k')\n", " ax = fig.add_subplot(111)\n", " ax.set_facecolor('gray')\n", " \n", " for i,v in enumerate(vs):\n", " ax.scatter(range(dim),[i]*dim, c=vs[i], cmap='Spectral', s=16)\n", " \n", " #plt.xticks(range(n), [i+1 for i in range(n)])\n", " plt.xlabel('Dimension')\n", " plt.yticks(range(len(wds)), wds)\n", " \n", " \n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "Word vectors for: house, lane, street, hulker" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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dy+ELjdeMbrxGfLgI8iLCSb2Zi0WDszlzTTmOzlss1TQOHpyjXHbXtMcLL5wF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\n/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "words_house = ['house','lane','street','hulker']\n", "words_house.reverse()\n", "compare_words_with_color(vecs,words_house)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Impressionistcally, there is a lot of similartiy in the values of the components, not surprisingly. On the other hand, when we look at words that are semantically related ('woman','girl','lady','man'), it's harder to see similarities is the values, though dimension 60 stands out." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "words = ['woman','girl','lady','man']\n", "words.reverse()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "Word vectors for: woman, girl, lady, man" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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FQuIYJvPRBtrys/Q0eDy5o7ZaFyOK1oTi6JRJrq2Bpe6m4AqWlFTjYaSvCOfL3PdQlt6B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\nw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "compare_words_with_color(vecs,words)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Encoding as polylines\n", "\n", "In the color encoding technique, the dimensions are represented on the horizontal axis, while the values are represented by color. An alternative for the values is the represent them on the vertical axis, connecting the components of a single vector by line segments (a polyline). This technique borrows from the [parallel coordinates visualization](https://en.wikipedia.org/wiki/Parallel_coordinates). Once again, the difference here is that unlike typical uses of parallel coordinates, our components/axes do not have any inherent meaning.\n", "\n", "Here's a version in parallel coordinates style, with all the vectors represented in the same chart." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def compare_words_polyline(vecs,wds,combined=True):\n", " \n", " display(HTML('Word vectors for: %s' % ', '.join(wds)))\n", " \n", " vs = [vecs.get_vector(wd) for wd in wds]\n", " dim = len(vs[0])\n", " nseries = len(wds)\n", "\n", " colormap = plt.cm.tab20b\n", " colors = [colormap(i) for i in np.linspace(0, 1, nseries)]\n", "\n", " \n", " if combined:\n", " fig = plt.figure(num=None, figsize=(12, 6), dpi=80, facecolor='w', edgecolor='k')\n", " ax = fig.add_subplot(111)\n", "\n", " for i,v in enumerate(vs):\n", " ax.plot(v, label=wds[i], c=colors[i])\n", "\n", " ax.legend(loc=2)\n", " \n", " else:\n", " fig, axarr = plt.subplots(nseries+1, sharex=True, sharey=True, figsize=(12, 2+nseries), dpi=80, facecolor='w', edgecolor='k')\n", "\n", " for i,v in enumerate(vs):\n", " axarr[i+1].plot(v, label=wds[i], c=colors[i])\n", " \n", " axarr[0].axis('off')\n", " \n", " fig.legend(loc=9)\n", " fig.tight_layout()\n", " \n", "\n", " plt.xlabel('Dimension')\n", " plt.ylabel('Value')\n", " \n", " plt.show()\n", " " ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "words2 = words[:]\n", "words2.reverse()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "Word vectors for: woman, girl, lady, man" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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h6tVBOL09cAYGIITA6OgoLMuCrjdW8waTZYKlxQ6Le/QoJvbtxylvvLLu5zAv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\nWqaHRHAil6IGsMicrNwwEi8N8bLJtHDhkaurHQYu7b7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7X5H+laUPv4wsyJCxGJFQgGVO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\nPo5V0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J7vIJYCCHXLoITmgKVWN5MaS4V8DYzopHLZx/R0Dbb0sklhwalaSw9L2pfle527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\nkZfzhQFLl23ZsgVHjx5FFEUAzDf6yJEjmJyc7PGRUa/de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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "compare_words_polyline(vecs,words2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, I find these examples easier to understand if each vector is own chart, as in the following:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "Word vectors for: woman, girl, lady, man" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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sye7pFY5atWqgdeuSNSoSCAQYMqQT0tKycONNsyP69Dg7B0AoVEK/vu0BAJ3e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KBB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\n9Lre8raGakC4WIIzwNoTMZsth2vQAxBAGCu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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "compare_words_polyline(vecs,words2,combined=False)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "Word vectors for: hulker, street, lane, house" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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RERERERHJNQbGREREREREJNcUZd0BWVNRUUGNGjVk3Q0iIiIiIiIqRu/fv0dKSopUbeU+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FBo3EJd6zFiQxZhCF856P01al/So6+i29bWr0WJ3WGltH4Hek0IsSGDF/mJD12CAqXH4dQVjXto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\nJkWtpJYzNSEEkTcDyJxNwtBlQse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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "words_house2 = words_house[:]\n", "words_house2.reverse()\n", "compare_words_polyline(vecs, words_house, combined=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One potential drawback to the polyline approach is that we tend to interpret the lines as representing an ordered sequence, while the dimensions have no inherent order (in addition to having no inherent meaning). As long we we keep this caveat in mind, the polylines are a reasonable way to _compare_ vectors.\n", "\n", "While the choice of technique for visualizing the vector component values is largely a personal preference, the polyline approach allows for a finer grained comparison, while the color encoding approach perhaps gives a more holistic impression. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Discussion and Conclusion\n", "\n", "While visualization can be a powerful tool in understanding data, we have seen that there is no ideal technique. Each one has its advantages and disadvantages, and we have to be careful in understanding what they represent, and particularly in the case of dimensionality reduction, the lack of complete fidelity of distances to the original.\n", "\n", "Finally, we can note that since we are not trying to consider all the vocabulary at once, or even large parts of it, these visualization techniques can be applied to any word vector model.\n", "\n", "[Back to the introduction](wvecs_intro.html)\n", "\n", "Other posts\n", "\n", "* [Stabilizing randomness](wvecs_random_fix.html)\n", "* [A new measure for evaluation](wvecs_evaluation_measure.html)\n", "* [Finding useful parameters and methods](wvecs_testsets_parameters.nb.html)\n", "* [Exploring similarities](wvecs_exploring_similarities.nb.html)\n", "\n", "\n", "## References\n", "[1] Vivek Kulkarni, Rami Al-Rfou, Bryan Perozzi, and Steven Skiena. 2014. Statistically significant detection of linguistic change. In Proc. 24th WWW Conf., pp. 625–635. International World Wide Web Conferences Steering Committee.\n", "\n", "[2] William L. Hamilton, Jure Leskovec, and Dan Jurafsky. 2016. Diachronic word embeddings reveal historical laws of semantic change. In Proceedings of the 54th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers).\n", "\n", "[3] Terrence Szymanski. 2017. Temporal Word Analogies: Identifying Lexical Replacement with Diachronic Word Embeddings. Proceedings of the 55th Annual Meeting of the Association for Computational Linguistics (Short Papers), pp. 448–453." ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [default]", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.4" } }, "nbformat": 4, "nbformat_minor": 2 }