{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 10\n", "\n", "## Continuing Seaborn\n", "We'll finish up the seaborn material from last lab\n", "\n", "## Multidimensional Scaling (MDS)\n", "*Note:* This is based off of [Prof Tony Jebara's lecture notes for COMS 6772 at Columbia in Spring 2015.](http://www.cs.columbia.edu/~jebara/6772/notes/notes2.pdf) \n", "\n", "Say we have a series of points $x_1,\\ldots,x_n \\in R^d$, where $d$ is large, and we want to learn a representation of these data in $R^k$ with $k << d$ (as we do in Project 2 to visualize Presidents and speeches).\n", "\n", "How can we do this?\n", "\n", "Idea: Find a representation that preserves **pairwise distances** between the data. In general we don't need to just consider distances, but can widen our scope to dissimilarities. A **Dissimilarity** is a function $d:R^d \\times R^d \\to R$ such that for all $x,y \\in R^d$.\n", "\n", "- $d(x,y) \\geq 0$\n", "- $d(x,x) = 0$\n", "- $d(x,y) = d(y,x)$\n", "\n", "Two examples which are both distances and dissimilarities are the usual Euclidean distance between vectors and the Jensen-Shannon distance for distributions.\n", "\n", "For our data $x_1,\\ldots,x_n$, we can construct the matrix of pairwise dissimilarities as \n", "$$\\Delta_{ij} = d(x_i, x_j)$$\n", "\n", "Now we can formalize the problem a bit more. Given data $x_1,\\ldots,x_n \\in R^d$ with dissimilarity matrix $\\Delta$, can we find a representation $y_1,\\ldots,y_n \\in R^k$ with dissimilarity matrix $D$ such that $D$ is \"close\" to $\\Delta$.\n", "\n", "How do we define \"close\"? [Scikit learn](http://scikit-learn.org/stable/modules/generated/sklearn.manifold.MDS.html) uses **Stress**:\n", "\n", "$$Stress(y_1,\\ldots,y_n) = \\sum_{ij} (D_{ij} - \\Delta_{ij})^2$$\n", "\n", "To find a lower-dimensional representation we then find $y_1,\\ldots,y_n \\in R^k$ to minimize the stress.\n", "\n", "Let's look at an example with the NFL trends data from Lab 9." ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "%matplotlib inline\n", "sns.set_style(\"whitegrid\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# load the data\n", "nfl_trends = pd.read_csv(\"data/fivethirtyeight-nfl-google.csv\", header=1)\n", "nfl_trends.head()\n", "# convert percent strings into floats\n", "numeric_data = (nfl_trends.iloc[:,1:]\n", " .replace(\"%\", \"\",regex=True)\n", " .astype(float))\n", "numeric_data[\"DMA\"] = nfl_trends[\"DMA\"]\n", "nfl_trends = numeric_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll normalize the search interest for each league in each market (they're actually close to adding up to 100 except for rounding errors)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# get the search interest for each league, normalizes\n", "interests = nfl_trends.iloc[:,:-2].values\n", "interests = interests / interests.sum(1, keepdims=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can compute the Jensen-Shannon distance between all of the markets and get a distance matrix." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from scipy.stats import entropy\n", "\n", "def JSdiv(p, q):\n", " \"\"\"Jensen-Shannon divergence.\"\"\"\n", " m = (p + q) / 2\n", " return (entropy(p, m, base=2.0) + entropy(q, m, base=2.0)) / 2" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# initialize the distance matrix\n", "n = interests.shape[0]\n", "dist = np.zeros((n,n))\n", "# compute JS distance for all pairs\n", "for i in range(n):\n", " for j in range(n):\n", " dist[i,j] = JSdiv(interests[i,:], interests[j,:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And use MDS to find a lower dimensional representation" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "from sklearn import manifold\n", "\n", "# intiialize\n", "MDS = manifold.MDS(dissimilarity=\"precomputed\")\n", "# transform to lower dimensional representation with JS distance\n", "lower = MDS.fit_transform(dist)\n", "\n", "# intiialize\n", "MDS = manifold.MDS()\n", "# transform to lower dimensional representation with Euclidean distance\n", "lower_naive = MDS.fit_transform(interests)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/ebenmichael/anaconda3/lib/python3.6/site-packages/matplotlib/font_manager.py:1297: UserWarning: findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans\n", " (prop.get_family(), self.defaultFamily[fontext]))\n" ] }, { "data": { "image/png": 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TBxMmTMDw4cOr/f2pCWtrayxduhQLFy5E3759YWNjo9Jt+d8YOXIk5s+fj969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\ncLClid5LAt0Lzpk7A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RfLHzfdhtnhxOH1Yow0XPXEU8L1RyupUUpKvCFGIChRolaIRGLC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\nmDc+N9ShEREREdFQx57dXmOyS9R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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# put into a dataframe and plot\n", "lower_df = pd.DataFrame({\"x_JS\":lower[:,0], \"y_JS\":lower[:,1],\n", " \"x_naive\":lower_naive[:,0], \"y_naive\": lower_naive[:,1],\n", " \"DMA\":nfl_trends[\"DMA\"], \n", " \"Trump 2016 Vote%\":nfl_trends[\"Trump 2016 Vote%\"]})\n", "\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(16,10))\n", "s = ax1.scatter(lower_df[\"x_JS\"], lower_df[\"y_JS\"], c=lower_df[\"Trump 2016 Vote%\"],\n", " cmap=plt.get_cmap(\"viridis\"))\n", "s = ax2.scatter(lower_df[\"x_naive\"], lower_df[\"y_naive\"], c=lower_df[\"Trump 2016 Vote%\"],\n", " cmap=plt.get_cmap(\"viridis\"))\n", "\n", "ax1.set_title(\"JS Distance MDS Representation\")\n", "ax2.set_title(\"Euclidean MDS Representation\")\n", "\n", "cbar = fig.colorbar(s)\n", "cbar.ax.set_title(\"2016 Trump Vote%\");" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }