{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "![ML Logo](http://spark-mooc.github.io/web-assets/images/CS190.1x_Banner_300.png)\n", "# **Principal Component Analysis Lab**\n", "#### This lab delves into exploratory analysis of neuroscience data, specifically using principal component analysis (PCA) and feature-based aggregation. We will use a dataset of light-sheet imaging recorded by the [Ahrens Lab](http://www.janelia.org/lab/ahrens-lab) at Janelia Research Campus, and hosted on the CodeNeuro [data repository](http://datasets.codeneuro.org).\n", "#### Our dataset is generated by studying the movement of a larval [zebrafish](http://en.wikipedia.org/wiki/Zebrafish), an animal that is especially useful in neuroscience because it is transparent, making it possible to record activity over its entire brain using a technique called [light-sheet microscopy](http://en.wikipedia.org/wiki/Light_sheet_fluorescence_microscopy). Specifically, we'll work with time-varying images containing patterns of the zebrafish's neural activity as it is presented with a moving visual pattern. Different stimuli induce different patterns across the brain, and we can use exploratory analyses to identify these patterns. Read [\"Mapping brain activity at scale with cluster computing\"](http://thefreemanlab.com/work/papers/freeman-2014-nature-methods.pdf) for more information about these kinds of analyses.\n", "#### During this lab you will learn about PCA, and then compare and contrast different exploratory analyses of the same data set to identify which neural patterns they best highlight.\n", "#### ** This lab will cover: **\n", "+ ####*Part 1:* Work through the steps of PCA on a sample dataset\n", " + ####*Visualization 1:* Two-dimensional Gaussians\n", "+ ####*Part 2:* Write a PCA function and evaluate PCA on sample datasets\n", " + ####*Visualization 2:* PCA projection\n", " + ####*Visualization 3:* Three-dimensional data\n", " + ####*Visualization 4:* 2D representation of 3D data\n", "+ ####*Part 3:* Parse, inspect, and preprocess neuroscience data then perform PCA\n", " + ####*Visualization 5:* Pixel intensity\n", " + ####*Visualization 6:* Normalized data\n", " + ####*Visualization 7:* Top two components as images\n", " + ####*Visualization 8:* Top two components as one image\n", "+ ####*Part 4:* Perform feature-based aggregation followed by PCA\n", " + ####*Visualization 9:* Top two components by time\n", " + ####*Visualization 10:* Top two components by direction\n", " \n", "#### Note that, for reference, you can look up the details of the relevant Spark methods in [Spark's Python API](https://spark.apache.org/docs/latest/api/python/pyspark.html#pyspark.RDD) and the relevant NumPy methods in the [NumPy Reference](http://docs.scipy.org/doc/numpy/reference/index.html)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "labVersion = 'cs190_week5_v_1_2'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " \n", "### **Part 1: Work through the steps of PCA on a sample dataset**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **Visualization 1: Two-dimensional Gaussians**\n", "#### Principal Component Analysis, or PCA, is a strategy for dimensionality reduction. To better understand PCA, we'll work with synthetic data generated by sampling from the [two-dimensional Gaussian distribution](http://en.wikipedia.org/wiki/Multivariate_normal_distribution). This distribution takes as input the mean and variance of each dimension, as well as the covariance between the two dimensions.\n", " \n", "#### In our visualizations below, we will specify the mean of each dimension to be 50 and the variance along each dimension to be 1. We will explore two different values for the covariance: 0 and 0.9. When the covariance is zero, the two dimensions are uncorrelated, and hence the data looks spherical. In contrast, when the covariance is 0.9, the two dimensions are strongly (positively) correlated and thus the data is non-spherical. As we'll see in Parts 1 and 2, the non-spherical data is amenable to dimensionality reduction via PCA, while the spherical data is not." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "def preparePlot(xticks, yticks, figsize=(10.5, 6), hideLabels=False, gridColor='#999999',\n", " gridWidth=1.0):\n", " \"\"\"Template for generating the plot layout.\"\"\"\n", " plt.close()\n", " fig, ax = plt.subplots(figsize=figsize, facecolor='white', edgecolor='white')\n", " ax.axes.tick_params(labelcolor='#999999', labelsize='10')\n", " for axis, ticks in [(ax.get_xaxis(), xticks), (ax.get_yaxis(), yticks)]:\n", " axis.set_ticks_position('none')\n", " axis.set_ticks(ticks)\n", " axis.label.set_color('#999999')\n", " if hideLabels: axis.set_ticklabels([])\n", " plt.grid(color=gridColor, linewidth=gridWidth, linestyle='-')\n", " map(lambda position: ax.spines[position].set_visible(False), ['bottom', 'top', 'left', 'right'])\n", " return fig, ax\n", "\n", "def create2DGaussian(mn, sigma, cov, n):\n", " \"\"\"Randomly sample points from a two-dimensional Gaussian distribution\"\"\"\n", " np.random.seed(142)\n", " return np.random.multivariate_normal(np.array([mn, mn]), np.array([[sigma, cov], [cov, sigma]]), n)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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DBf0zuSS1dpdPN8oKciLyzFKQExF5ikUCNpEhRxIch8+gnf1JtY43DQPH81ir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hdLWebTCW6W6/xsY5MfXVok+pzM27UHNu/fKaOpCq/M5VEVmUbfAsD3fThgrk1XZVRFwxw6tAY2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\nnUstFxYWePPNNzl//jy/+c1vSCaT/Lt/9++YmpraxxGKiIiIiIg8fmMT5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dataRandom = create2DGaussian(mn=50, sigma=1, cov=0, n=100)\n", "\n", "# generate layout and plot data\n", "fig, ax = preparePlot(np.arange(46, 55, 2), np.arange(46, 55, 2))\n", "ax.set_xlabel(r'Simulated $x_1$ values'), ax.set_ylabel(r'Simulated $x_2$ values')\n", "ax.set_xlim(45, 54.5), ax.set_ylim(45, 54.5)\n", "plt.scatter(dataRandom[:,0], dataRandom[:,1], s=14**2, c='#d6ebf2', edgecolors='#8cbfd0', alpha=0.75)\n", "pass" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5FIvVJu8vl+kMXD53eFJhTuQRd6CDXK1W44c//CGWZTE5OclLL71EKpXa8rm9Xg/DMAiH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\nyH3yySd8/fXXVKtVS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A6HTMOQZduy7nutbduayOR1ezKlimXp2Pb4YwlxtciVynr/+rAS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\no6O6dOmS4vH4gudNJBKPeORra2pqat6fQL3jnsZmw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dataCorrelated = create2DGaussian(mn=50, sigma=1, cov=.9, n=100)\n", "\n", "# generate layout and plot data\n", "fig, ax = preparePlot(np.arange(46, 55, 2), np.arange(46, 55, 2))\n", "ax.set_xlabel(r'Simulated $x_1$ values'), ax.set_ylabel(r'Simulated $x_2$ values')\n", "ax.set_xlim(45.5, 54.5), ax.set_ylim(45.5, 54.5)\n", "plt.scatter(dataCorrelated[:,0], dataCorrelated[:,1], s=14**2, c='#d6ebf2',\n", " edgecolors='#8cbfd0', alpha=0.75)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(1a) Interpreting PCA**\n", "#### PCA can be interpreted as identifying the \"directions\" along which the data vary the most. In the first step of PCA, we must first center our data. Working with our correlated dataset, first compute the mean of each feature (column) in the dataset. Then for each observation, modify the features by subtracting their corresponding mean, to create a zero mean dataset.\n", "#### Note that `correlatedData` is an RDD of NumPy arrays. This allows us to perform certain operations more succinctly. For example, we can sum the columns of our dataset using `correlatedData.sum()`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 49.95739037 49.97180477]\n", "[array([ 49.6717712 , 50.07531969])]\n", "[array([-0.28561917, 0.10351492])]\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "correlatedData = sc.parallelize(dataCorrelated)\n", "\n", "meanCorrelated = correlatedData.sum() / correlatedData.count()\n", "correlatedDataZeroMean = correlatedData.map(lambda x: x - meanCorrelated)\n", "\n", "print meanCorrelated\n", "print correlatedData.take(1)\n", "print correlatedDataZeroMean.take(1)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST Interpreting PCA (1a)\n", "from test_helper import Test\n", "Test.assertTrue(np.allclose(meanCorrelated, [49.95739037, 49.97180477]),\n", " 'incorrect value for meanCorrelated')\n", "Test.assertTrue(np.allclose(correlatedDataZeroMean.take(1)[0], [-0.28561917, 0.10351492]),\n", " 'incorrect value for correlatedDataZeroMean')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(1b) Sample covariance matrix**\n", "#### We are now ready to compute the sample covariance matrix. If we define $\\scriptsize \\mathbf{X} \\in \\mathbb{R}^{n \\times d}$ as the zero mean data matrix, then the sample covariance matrix is defined as: $$ \\mathbf{C}_{\\mathbf X} = \\frac{1}{n} \\mathbf{X}^\\top \\mathbf{X} \\,.$$ To compute this matrix, compute the outer product of each data point, add together these outer products, and divide by the number of data points. The data are two dimensional, so the resulting covariance matrix should be a 2x2 matrix.\n", " \n", "#### Note that [np.outer()](http://docs.scipy.org/doc/numpy/reference/generated/numpy.outer.html) can be used to calculate the outer product of two NumPy arrays." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.99558386 0.90148989]\n", " [ 0.90148989 1.08607497]]\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "# Compute the covariance matrix using outer products and correlatedDataZeroMean\n", "correlatedCov = (correlatedDataZeroMean\n", " .map(lambda x: np.outer(x, x.T))\n", " .reduce(lambda x, y: x + y) / correlatedDataZeroMean.count())\n", "print correlatedCov" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n" ] } ], "source": [ "# TEST Sample covariance matrix (1b)\n", "covResult = [[ 0.99558386, 0.90148989], [0.90148989, 1.08607497]]\n", "Test.assertTrue(np.allclose(covResult, correlatedCov), 'incorrect value for correlatedCov')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(1c) Covariance Function**\n", "#### Next, use the expressions above to write a function to compute the sample covariance matrix for an arbitrary `data` RDD." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.99558386 0.90148989]\n", " [ 0.90148989 1.08607497]]\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "def estimateCovariance(data):\n", " \"\"\"Compute the covariance matrix for a given rdd.\n", "\n", " Note:\n", " The multi-dimensional covariance array should be calculated using outer products. Don't\n", " forget to normalize the data by first subtracting the mean.\n", "\n", " Args:\n", " data (RDD of np.ndarray): An `RDD` consisting of NumPy arrays.\n", "\n", " Returns:\n", " np.ndarray: A multi-dimensional array where the number of rows and columns both equal the\n", " length of the arrays in the input `RDD`.\n", " \"\"\"\n", " mean = data.sum() / data.count()\n", " dataZeroMean = data.map(lambda x: x - mean)\n", " return (dataZeroMean\n", " .map(lambda x: np.outer(x, x.T))\n", " .reduce(lambda x, y: x + y) / dataZeroMean.count())\n", "\n", "correlatedCovAuto= estimateCovariance(correlatedData)\n", "print correlatedCovAuto" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n" ] } ], "source": [ "# TEST Covariance function (1c)\n", "correctCov = [[ 0.99558386, 0.90148989], [0.90148989, 1.08607497]]\n", "Test.assertTrue(np.allclose(correctCov, correlatedCovAuto),\n", " 'incorrect value for correlatedCovAuto')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(1d) Eigendecomposition**\n", "#### Now that we've computed the sample covariance matrix, we can use it to find directions of maximal variance in the data. Specifically, we can perform an eigendecomposition of this matrix to find its eigenvalues and eigenvectors. The $\\scriptsize d $ eigenvectors of the covariance matrix give us the directions of maximal variance, and are often called the \"principal components.\" The associated eigenvalues are the variances in these directions. In particular, the eigenvector corresponding to the largest eigenvalue is the direction of maximal variance (this is sometimes called the \"top\" eigenvector). Eigendecomposition of a $\\scriptsize d \\times d $ covariance matrix has a (roughly) cubic runtime complexity with respect to $\\scriptsize d $. Whenever $\\scriptsize d $ is relatively small (e.g., less than a few thousand) we can quickly perform this eigendecomposition locally.\n", " \n", "#### Use a function from `numpy.linalg` called [eigh](http://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.eigh.html) to perform the eigendecomposition. Next, sort the eigenvectors based on their corresponding eigenvalues (from high to low), yielding a matrix where the columns are the eigenvectors (and the first column is the top eigenvector). Note that [np.argsort](http://docs.scipy.org/doc/numpy/reference/generated/numpy.argsort.html#numpy-argsort) can be used to obtain the indices of the eigenvalues that correspond to the ascending order of eigenvalues. Finally, set the `topComponent` variable equal to the top eigenvector or prinicipal component, which is a $\\scriptsize 2 $-dimensional vector (array with two values).\n", "#### Note that the eigenvectors returned by `eigh` appear in the columns and not the rows. For example, the first eigenvector of `eigVecs` would be found in the first column and could be accessed using `eigVecs[:,0]`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "eigenvalues: [ 0.13820481 1.94345403]\n", "\n", "eigenvectors: \n", "[[-0.72461254 0.68915649]\n", " [ 0.68915649 0.72461254]]\n", "\n", "top principal component: [ 0.68915649 0.72461254]\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "from numpy.linalg import eigh\n", "\n", "# Calculate the eigenvalues and eigenvectors from correlatedCovAuto\n", "eigVals, eigVecs = eigh(correlatedCovAuto)\n", "print 'eigenvalues: {0}'.format(eigVals)\n", "print '\\neigenvectors: \\n{0}'.format(eigVecs)\n", "\n", "# Use np.argsort to find the top eigenvector based on the largest eigenvalue\n", "inds = np.argsort(eigVals)\n", "topComponent = eigVecs[:,inds[-1]]\n", "print '\\ntop principal component: {0}'.format(topComponent)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n" ] } ], "source": [ "# TEST Eigendecomposition (1d)\n", "def checkBasis(vectors, correct):\n", " return np.allclose(vectors, correct) or np.allclose(np.negative(vectors), correct)\n", "Test.assertTrue(checkBasis(topComponent, [0.68915649, 0.72461254]),\n", " 'incorrect value for topComponent')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(1e) PCA scores**\n", "#### We just computed the top principal component for a 2-dimensional non-spherical dataset. Now let's use this principal component to derive a one-dimensional representation for the original data. To compute these compact representations, which are sometimes called PCA \"scores\", calculate the dot product between each data point in the raw data and the top principal component." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "one-dimensional data (first three):\n", "[ 70.51682806 69.30622356 71.13588168]\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "# Use the topComponent and the data from correlatedData to generate PCA scores\n", "correlatedDataScores = correlatedData.map(lambda x: x.dot(topComponent))\n", "print 'one-dimensional data (first three):\\n{0}'.format(np.asarray(correlatedDataScores.take(3)))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n" ] } ], "source": [ "# TEST PCA Scores (1e)\n", "firstThree = [70.51682806, 69.30622356, 71.13588168]\n", "Test.assertTrue(checkBasis(correlatedDataScores.take(3), firstThree),\n", " 'incorrect value for correlatedDataScores')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### **Part 2: Write a PCA function and evaluate PCA on sample datasets**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(2a) PCA function**\n", "#### We now have all the ingredients to write a general PCA function. Instead of working with just the top principal component, our function will compute the top $\\scriptsize k$ principal components and principal scores for a given dataset. Write this general function `pca`, and run it with `correlatedData` and $\\scriptsize k = 2$. Hint: Use results from Part (1c), Part (1d), and Part (1e).\n", " \n", "####Note: As discussed in lecture, our implementation is a reasonable strategy when $\\scriptsize d $ is small, though more efficient distributed algorithms exist when $\\scriptsize d $ is large." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "topComponentsCorrelated: \n", "[[ 0.68915649 -0.72461254]\n", " [ 0.72461254 0.68915649]]\n", "\n", "correlatedDataScoresAuto (first three): \n", "[ 70.51682806 -1.48305648]\n", "[ 69.30622356 -1.5888655 ]\n", "[ 71.13588168 -1.86710679]\n", "\n", "eigenvaluesCorrelated: \n", "[ 1.94345403 0.13820481]\n", "\n", "pcaTestData: \n", "[[ 0 1 2 3]\n", " [ 4 5 6 7]\n", " [ 8 9 10 11]\n", " [12 13 14 15]\n", " [16 17 18 19]]\n", "\n", "componentsTest: \n", "[[ 5.00000000e-01 6.89413646e-02 -4.41317416e-19]\n", " [ 5.00000000e-01 -8.36885766e-01 -6.39585002e-17]\n", " [ 5.00000000e-01 3.83972201e-01 -7.07106781e-01]\n", " [ 5.00000000e-01 3.83972201e-01 7.07106781e-01]]\n", "\n", "testScores (first three): \n", "[ 3. 1.08297524 0.70710678]\n", "[ 11. 1.08297524 0.70710678]\n", "[ 19. 1.08297524 0.70710678]\n", "\n", "eigenvaluesTest: \n", "[ 1.28000000e+02 1.51757925e-15 2.14741189e-32 -1.43111649e-14]\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "def pca(data, k=2):\n", " \"\"\"Computes the top `k` principal components, corresponding scores, and all eigenvalues.\n", "\n", " Note:\n", " All eigenvalues should be returned in sorted order (largest to smallest). `eigh` returns\n", " each eigenvectors as a column. This function should also return eigenvectors as columns.\n", "\n", " Args:\n", " data (RDD of np.ndarray): An `RDD` consisting of NumPy arrays.\n", " k (int): The number of principal components to return.\n", "\n", " Returns:\n", " tuple of (np.ndarray, RDD of np.ndarray, np.ndarray): A tuple of (eigenvectors, `RDD` of\n", " scores, eigenvalues). Eigenvectors is a multi-dimensional array where the number of\n", " rows equals the length of the arrays in the input `RDD` and the number of columns equals\n", " `k`. The `RDD` of scores has the same number of rows as `data` and consists of arrays\n", " of length `k`. Eigenvalues is an array of length d (the number of features).\n", " \"\"\"\n", " cov = estimateCovariance(data)\n", " eigVals, eigVecs = eigh(cov)\n", " inds = np.argsort(eigVals)\n", " topKComponents = eigVecs[:,inds[-k:][::-1]]\n", " eigValsSorted = eigVals[inds[::-1]]\n", " scores = data.map(lambda x: x.dot(topKComponents))\n", " # Return the `k` principal components, `k` scores, and all eigenvalues\n", " return topKComponents, scores, eigValsSorted\n", "\n", "# Run pca on correlatedData with k = 2\n", "topComponentsCorrelated, correlatedDataScoresAuto, eigenvaluesCorrelated = pca(correlatedData, 2)\n", "\n", "# Note that the 1st principal component is in the first column\n", "print 'topComponentsCorrelated: \\n{0}'.format(topComponentsCorrelated)\n", "print ('\\ncorrelatedDataScoresAuto (first three): \\n{0}'\n", " .format('\\n'.join(map(str, correlatedDataScoresAuto.take(3)))))\n", "print '\\neigenvaluesCorrelated: \\n{0}'.format(eigenvaluesCorrelated)\n", "\n", "# Create a higher dimensional test set\n", "pcaTestData = sc.parallelize([np.arange(x, x + 4) for x in np.arange(0, 20, 4)])\n", "componentsTest, testScores, eigenvaluesTest = pca(pcaTestData, 3)\n", "\n", "print '\\npcaTestData: \\n{0}'.format(np.array(pcaTestData.collect()))\n", "print '\\ncomponentsTest: \\n{0}'.format(componentsTest)\n", "print ('\\ntestScores (first three): \\n{0}'\n", " .format('\\n'.join(map(str, testScores.take(3)))))\n", "print '\\neigenvaluesTest: \\n{0}'.format(eigenvaluesTest)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST PCA Function (2a)\n", "Test.assertTrue(checkBasis(topComponentsCorrelated.T,\n", " [[0.68915649, 0.72461254], [-0.72461254, 0.68915649]]),\n", " 'incorrect value for topComponentsCorrelated')\n", "firstThreeCorrelated = [[70.51682806, 69.30622356, 71.13588168], [1.48305648, 1.5888655, 1.86710679]]\n", "Test.assertTrue(np.allclose(firstThreeCorrelated,\n", " np.vstack(np.abs(correlatedDataScoresAuto.take(3))).T),\n", " 'incorrect value for firstThreeCorrelated')\n", "Test.assertTrue(np.allclose(eigenvaluesCorrelated, [1.94345403, 0.13820481]),\n", " 'incorrect values for eigenvaluesCorrelated')\n", "topComponentsCorrelatedK1, correlatedDataScoresK1, eigenvaluesCorrelatedK1 = pca(correlatedData, 1)\n", "Test.assertTrue(checkBasis(topComponentsCorrelatedK1.T, [0.68915649, 0.72461254]),\n", " 'incorrect value for components when k=1')\n", "Test.assertTrue(np.allclose([70.51682806, 69.30622356, 71.13588168],\n", " np.vstack(np.abs(correlatedDataScoresK1.take(3))).T),\n", " 'incorrect value for scores when k=1')\n", "Test.assertTrue(np.allclose(eigenvaluesCorrelatedK1, [1.94345403, 0.13820481]),\n", " 'incorrect values for eigenvalues when k=1')\n", "Test.assertTrue(checkBasis(componentsTest.T[0], [ .5, .5, .5, .5]),\n", " 'incorrect value for componentsTest')\n", "Test.assertTrue(np.allclose(np.abs(testScores.first()[0]), 3.),\n", " 'incorrect value for testScores')\n", "Test.assertTrue(np.allclose(eigenvaluesTest, [ 128, 0, 0, 0 ]), 'incorrect value for eigenvaluesTest')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(2b) PCA on `dataRandom`**\n", "#### Next, use the PCA function we just developed to find the top two principal components of the spherical `dataRandom` we created in Visualization 1." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "topComponentsRandom: \n", "[[-0.2522559 -0.96766056]\n", " [ 0.96766056 -0.2522559 ]]\n", "\n", "randomDataScoresAuto (first three): \n", "[ 36.61068572 -61.3489929 ]\n", "[ 35.97314295 -62.08813671]\n", "[ 35.59836628 -60.61390415]\n", "\n", "eigenvaluesRandom: \n", "[ 1.4204546 0.99521397]\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "randomData = sc.parallelize(dataRandom)\n", "\n", "# Use pca on randomData\n", "topComponentsRandom, randomDataScoresAuto, eigenvaluesRandom = pca(randomData, 2)\n", "\n", "print 'topComponentsRandom: \\n{0}'.format(topComponentsRandom)\n", "print ('\\nrandomDataScoresAuto (first three): \\n{0}'\n", " .format('\\n'.join(map(str, randomDataScoresAuto.take(3)))))\n", "print '\\neigenvaluesRandom: \\n{0}'.format(eigenvaluesRandom)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST PCA on `dataRandom` (2b)\n", "Test.assertTrue(checkBasis(topComponentsRandom.T,\n", " [[-0.2522559 , 0.96766056], [-0.96766056, -0.2522559]]),\n", " 'incorrect value for topComponentsRandom')\n", "firstThreeRandom = [[36.61068572, 35.97314295, 35.59836628],\n", " [61.3489929 , 62.08813671, 60.61390415]]\n", "Test.assertTrue(np.allclose(firstThreeRandom, np.vstack(np.abs(randomDataScoresAuto.take(3))).T),\n", " 'incorrect value for randomDataScoresAuto')\n", "Test.assertTrue(np.allclose(eigenvaluesRandom, [1.4204546, 0.99521397]),\n", " 'incorrect value for eigenvaluesRandom')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **Visualization 2: PCA projection**\n", "#### Plot the original data and the 1-dimensional reconstruction using the top principal component to see how the PCA solution looks. The original data is plotted as before; however, the 1-dimensional reconstruction (projection) is plotted in green on top of the original data and the vectors (lines) representing the two principal components are shown as dotted lines." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def projectPointsAndGetLines(data, components, xRange):\n", " \"\"\"Project original data onto first component and get line details for top two components.\"\"\"\n", " topComponent= components[:, 0]\n", " slope1, slope2 = components[1, :2] / components[0, :2]\n", "\n", " means = data.mean()[:2]\n", " demeaned = data.map(lambda v: v - means)\n", " projected = demeaned.map(lambda v: (v.dot(topComponent) /\n", " topComponent.dot(topComponent)) * topComponent)\n", " remeaned = projected.map(lambda v: v + means)\n", " x1,x2 = zip(*remeaned.collect())\n", "\n", " lineStartP1X1, lineStartP1X2 = means - np.asarray([xRange, xRange * slope1])\n", " lineEndP1X1, lineEndP1X2 = means + np.asarray([xRange, xRange * slope1])\n", " lineStartP2X1, lineStartP2X2 = means - np.asarray([xRange, xRange * slope2])\n", " lineEndP2X1, lineEndP2X2 = means + np.asarray([xRange, xRange * slope2])\n", "\n", " return ((x1, x2), ([lineStartP1X1, lineEndP1X1], [lineStartP1X2, lineEndP1X2]),\n", " ([lineStartP2X1, lineEndP2X1], [lineStartP2X2, lineEndP2X2]))" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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+jemaRtjrIVe0CXg85CwLVylift+cApmuaSgFTplaJgkxV7KAX6wJVQEvdaFT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Xb1pJe133TL5sHH9/OZj/8uLg5b3rCFbW/chlk1MSoGiYEEQgjMqole0on3xZFVby3ZQA+39b6D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MY0REREQZxDBGRERElEEMY0REREQZxDBGRERElEEMY0REREQZxDBGRERElEEMY0RE\nREQZ9P8DRr+JOq2FXGkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "((x1, x2), (line1X1, line1X2), (line2X1, line2X2)) = \\\n", " projectPointsAndGetLines(correlatedData, topComponentsCorrelated, 5)\n", "\n", "# generate layout and plot data\n", "fig, ax = preparePlot(np.arange(46, 55, 2), np.arange(46, 55, 2), figsize=(7, 7))\n", "ax.set_xlabel(r'Simulated $x_1$ values'), ax.set_ylabel(r'Simulated $x_2$ values')\n", "ax.set_xlim(45.5, 54.5), ax.set_ylim(45.5, 54.5)\n", "plt.plot(line1X1, line1X2, linewidth=3.0, c='#8cbfd0', linestyle='--')\n", "plt.plot(line2X1, line2X2, linewidth=3.0, c='#d6ebf2', linestyle='--')\n", "plt.scatter(dataCorrelated[:,0], dataCorrelated[:,1], s=14**2, c='#d6ebf2',\n", " edgecolors='#8cbfd0', alpha=0.75)\n", "plt.scatter(x1, x2, s=14**2, c='#62c162', alpha=.75)\n", "pass" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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zHBmboSsWYVcusWTJEdMw6IlH6IlHqDRbvDVZ4Idvn+XDe/vJRkNLnFVErlYa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\nGiLs9y3eMshn0bKddRsS30h9iQixoJ/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aCv4ZS5EcTWL0GbiOS2W+QulyCbtpE0lEeOvc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\n/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8Ges1B0BdUIn9/2F4kw2d1GzB8BIDWc6uqPrZ4XPctDSIIzZ85s2jaxG/LxKD9/dIIb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bqm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\nsqk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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "((x1, x2), (line1X1, line1X2), (line2X1, line2X2)) = \\\n", " projectPointsAndGetLines(randomData, topComponentsRandom, 5)\n", "\n", "# generate layout and plot data\n", "fig, ax = preparePlot(np.arange(46, 55, 2), np.arange(46, 55, 2), figsize=(7, 7))\n", "ax.set_xlabel(r'Simulated $x_1$ values'), ax.set_ylabel(r'Simulated $x_2$ values')\n", "ax.set_xlim(45.5, 54.5), ax.set_ylim(45.5, 54.5)\n", "plt.plot(line1X1, line1X2, linewidth=3.0, c='#8cbfd0', linestyle='--')\n", "plt.plot(line2X1, line2X2, linewidth=3.0, c='#d6ebf2', linestyle='--')\n", "plt.scatter(dataRandom[:,0], dataRandom[:,1], s=14**2, c='#d6ebf2',\n", " edgecolors='#8cbfd0', alpha=0.75)\n", "plt.scatter(x1, x2, s=14**2, c='#62c162', alpha=.75)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **Visualization 3: Three-dimensional data**\n", "#### So far we have worked with two-dimensional data. Now let's generate three-dimensional data with highly correlated features. As in Visualization 1, we'll create samples from a multivariate Gaussian distribution, which in three dimensions requires us to specify three means, three variances, and three covariances.\n", " \n", "#### In the 3D graphs below, we have included the 2D plane that corresponds to the top two principal components, i.e. the plane with the smallest euclidean distance between the points and itself. Notice that the data points, despite living in three-dimensions, are found near a two-dimensional plane: the left graph shows how most points are close to the plane when it is viewed from its side, while the right graph shows that the plane covers most of the variance in the data. Note that darker blues correspond to points with higher values for the third dimension." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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i5crnce65v8R5552H1157Td0WU/5KdtaJ+DfZwZPAbpSJZJmkOuskXKFUygwM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\nnN29IjrDIUlSrFLKSAaHQ8549ZqX9q0oNZFjMhqNuFwuwuHwWYW/R49lr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m/8LtbC2TER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QBCGiyPd10+4dVESiJhS0UABZb+TQW38f33EXlNLc1k59QwMd9bX87bFf43Y5mTJnAWazhbCi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CarWiR48ePt91794dBw4cQF1dHXQ6HR+a0r17d4/9WrZsidTUVBw/ftznHDk5OXjuOU+l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\ndViR1GEl3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BC03AkTJmDdunWoqKhAr169mO3l5eUAgAEDBkCpVIpuByAjOpAJDxmCQWnu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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "m = 100\n", "mu = np.array([50, 50, 50])\n", "r1_2 = 0.9\n", "r1_3 = 0.7\n", "r2_3 = 0.1\n", "sigma1 = 5\n", "sigma2 = 20\n", "sigma3 = 20\n", "c = np.array([[sigma1 ** 2, r1_2 * sigma1 * sigma2, r1_3 * sigma1 * sigma3],\n", " [r1_2 * sigma1 * sigma2, sigma2 ** 2, r2_3 * sigma2 * sigma3],\n", " [r1_3 * sigma1 * sigma3, r2_3 * sigma2 * sigma3, sigma3 ** 2]])\n", "np.random.seed(142)\n", "dataThreeD = np.random.multivariate_normal(mu, c, m)\n", "\n", "from matplotlib.colors import ListedColormap, Normalize\n", "from matplotlib.cm import get_cmap\n", "norm = Normalize()\n", "cmap = get_cmap(\"Blues\")\n", "clrs = cmap(np.array(norm(dataThreeD[:,2])))[:,0:3]\n", "\n", "fig = plt.figure(figsize=(11, 6))\n", "ax = fig.add_subplot(121, projection='3d')\n", "ax.azim=-100\n", "ax.scatter(dataThreeD[:,0], dataThreeD[:,1], dataThreeD[:,2], c=clrs, s=14**2)\n", "\n", "xx, yy = np.meshgrid(np.arange(-15, 10, 1), np.arange(-50, 30, 1))\n", "normal = np.array([0.96981815, -0.188338, -0.15485978])\n", "z = (-normal[0] * xx - normal[1] * yy) * 1. / normal[2]\n", "xx = xx + 50\n", "yy = yy + 50\n", "z = z + 50\n", "\n", "ax.set_zlim((-20, 120)), ax.set_ylim((-20, 100)), ax.set_xlim((30, 75))\n", "ax.plot_surface(xx, yy, z, alpha=.10)\n", "\n", "ax = fig.add_subplot(122, projection='3d')\n", "ax.azim=10\n", "ax.elev=20\n", "#ax.dist=8\n", "ax.scatter(dataThreeD[:,0], dataThreeD[:,1], dataThreeD[:,2], c=clrs, s=14**2)\n", "\n", "ax.set_zlim((-20, 120)), ax.set_ylim((-20, 100)), ax.set_xlim((30, 75))\n", "ax.plot_surface(xx, yy, z, alpha=.1)\n", "plt.tight_layout()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(2c) 3D to 2D**\n", "#### We will now use PCA to see if we can recover the 2-dimensional plane on which the data live. Parallelize the data, and use our PCA function from above, with $ \\scriptsize k=2 $ components." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "componentsThreeD: \n", "[[ 0.23952078 0.045635 ]\n", " [ 0.61699931 0.76409466]\n", " [ 0.74962768 -0.64348799]]\n", "\n", "threeDScores (first three): \n", "[ 85.25798606 -8.29694407]\n", "[ 89.66337911 15.73381517]\n", "[ 75.92616872 -20.5015709 ]\n", "\n", "eigenvaluesThreeD: \n", "[ 614.46863537 349.47737219 5.85043581]\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "threeDData = sc.parallelize(dataThreeD)\n", "componentsThreeD, threeDScores, eigenvaluesThreeD = pca(threeDData, 2)\n", "\n", "print 'componentsThreeD: \\n{0}'.format(componentsThreeD)\n", "print ('\\nthreeDScores (first three): \\n{0}'\n", " .format('\\n'.join(map(str, threeDScores.take(3)))))\n", "print '\\neigenvaluesThreeD: \\n{0}'.format(eigenvaluesThreeD)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST 3D to 2D (2c)\n", "Test.assertEquals(componentsThreeD.shape, (3, 2), 'incorrect shape for componentsThreeD')\n", "Test.assertTrue(np.allclose(np.sum(eigenvaluesThreeD), 969.796443367),\n", " 'incorrect value for eigenvaluesThreeD')\n", "Test.assertTrue(np.allclose(np.abs(np.sum(componentsThreeD)), 1.77238943258),\n", " 'incorrect value for componentsThreeD')\n", "Test.assertTrue(np.allclose(np.abs(np.sum(threeDScores.take(3))), 237.782834092),\n", " 'incorrect value for threeDScores')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **Visualization 4: 2D representation of 3D data**\n", "#### See the 2D version of the data that captures most of its original structure. Note that darker blues correspond to points with higher values for the original data's third dimension." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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rhQy2/s6f6U6tjRca8snxe0jGHIee0e9ZRE6fQp/IlAujiPVam4ulHK49/uT9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "scoresThreeD = np.asarray(threeDScores.collect())\n", "\n", "# generate layout and plot data\n", "fig, ax = preparePlot(np.arange(20, 150, 20), np.arange(-40, 110, 20))\n", "ax.set_xlabel(r'New $x_1$ values'), ax.set_ylabel(r'New $x_2$ values')\n", "ax.set_xlim(5, 150), ax.set_ylim(-45, 50)\n", "plt.scatter(scoresThreeD[:,0], scoresThreeD[:,1], s=14**2, c=clrs, edgecolors='#8cbfd0', alpha=0.75)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(2d) Variance explained**\n", "#### Finally, let's quantify how much of the variance is being captured by PCA in each of the three synthetic datasets we've analyzed. To do this, we'll compute the fraction of retained variance by the top principal components. Recall that the eigenvalue corresponding to each principal component captures the variance along this direction. If our initial data is $\\scriptsize d$-dimensional, then the total variance in our data equals: $ \\scriptsize \\sum_{i=1}^d \\lambda_i $, where $\\scriptsize \\lambda_i$ is the eigenvalue corresponding to the $\\scriptsize i$th principal component. Moreover, if we use PCA with some $\\scriptsize k < d$, then we can compute the variance retained by these principal components by adding the top $\\scriptsize k$ eigenvalues. The fraction of retained variance equals the sum of the top $\\scriptsize k$ eigenvalues divided by the sum of all of the eigenvalues." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Percentage of variance explained by the first component of randomData: 58.8%\n", "Percentage of variance explained by both components of randomData: 100.0%\n", "\n", "Percentage of variance explained by the first component of correlatedData: 93.4%\n", "Percentage of variance explained by both components of correlatedData: 100.0%\n", "\n", "Percentage of variance explained by the first two components of threeDData: 99.4%\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "def varianceExplained(data, k=1):\n", " \"\"\"Calculate the fraction of variance explained by the top `k` eigenvectors.\n", "\n", " Args:\n", " data (RDD of np.ndarray): An RDD that contains NumPy arrays which store the\n", " features for an observation.\n", " k: The number of principal components to consider.\n", "\n", " Returns:\n", " float: A number between 0 and 1 representing the percentage of variance explained\n", " by the top `k` eigenvectors.\n", " \"\"\"\n", " components, scores, eigenvalues = pca(data, k)\n", " return np.sum(eigenvalues[:k]) / np.sum(eigenvalues[:])\n", "\n", "varianceRandom1 = varianceExplained(randomData, 1)\n", "varianceCorrelated1 = varianceExplained(correlatedData, 1)\n", "varianceRandom2 = varianceExplained(randomData, 2)\n", "varianceCorrelated2 = varianceExplained(correlatedData, 2)\n", "varianceThreeD2 = varianceExplained(threeDData, 2)\n", "print ('Percentage of variance explained by the first component of randomData: {0:.1f}%'\n", " .format(varianceRandom1 * 100))\n", "print ('Percentage of variance explained by both components of randomData: {0:.1f}%'\n", " .format(varianceRandom2 * 100))\n", "print ('\\nPercentage of variance explained by the first component of correlatedData: {0:.1f}%'.\n", " format(varianceCorrelated1 * 100))\n", "print ('Percentage of variance explained by both components of correlatedData: {0:.1f}%'\n", " .format(varianceCorrelated2 * 100))\n", "print ('\\nPercentage of variance explained by the first two components of threeDData: {0:.1f}%'\n", " .format(varianceThreeD2 * 100))" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST Variance explained (2d)\n", "Test.assertTrue(np.allclose(varianceRandom1, 0.588017172066), 'incorrect value for varianceRandom1')\n", "Test.assertTrue(np.allclose(varianceCorrelated1, 0.933608329586),\n", " 'incorrect value for varianceCorrelated1')\n", "Test.assertTrue(np.allclose(varianceRandom2, 1.0), 'incorrect value for varianceRandom2')\n", "Test.assertTrue(np.allclose(varianceCorrelated2, 1.0), 'incorrect value for varianceCorrelated2')\n", "Test.assertTrue(np.allclose(varianceThreeD2, 0.993967356912), 'incorrect value for varianceThreeD2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " \n", "### **Part 3: Parse, inspect, and preprocess neuroscience data then perform PCA **" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " \n", "#### **Data introduction**\n", "#### A central challenge in neuroscience is understanding the organization and function of neurons, the cells responsible for processing and representing information in the brain. New technologies make it possible to monitor the responses of large populations of neurons in awake animals. In general, neurons communicate through electrical impulses that must be recorded with electrodes, which is a challenging process. As an alternative, we can genetically engineer animals so that their neurons express special proteins that flouresce or light up when active, and then use microscopy to record neural activity as images. A recently developed method called light-sheet microscopy lets us do this in a special, transparent animal, the larval zebrafish, over nearly its entire brain. The resulting data are time-varying images containing the activity of hundreds of thousands of neurons. Given the raw data, which is enormous, we want to find compact spatial and temporal patterns: Which groups of neurons are active together? What is the time course of their activity? Are those patterns specific to particular events happening during the experiment (e.g. a stimulus that we might present). PCA is a powerful technique for finding spatial and temporal patterns in these kinds of data, and that's what we'll explore here!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(3a) Load neuroscience data**\n", "#### In the next sections we will use PCA to capture structure in neural datasets. Before doing the analysis, we will load and do some basic inspection of the data. The raw data are currently stored as a text file. Every line in the file contains the time series of image intensity for a single pixel in a time-varying image (i.e. a movie). The first two numbers in each line are the spatial coordinates of the pixel, and the remaining numbers are the time series. We'll use first() to inspect a single row, and print just the first 100 characters." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0 0 103 103.7 103.2 102.7 103.8 102.8 103 103.3 103.8 103.2 102.1 103.5 103.2 102.7 103.1 102.2 102.\n" ] } ], "source": [ "import os\n", "baseDir = os.path.join('data')\n", "inputPath = os.path.join('cs190', 'neuro.txt')\n", "\n", "inputFile = os.path.join(baseDir, inputPath)\n", "\n", "lines = sc.textFile(inputFile)\n", "print lines.first()[0:100]\n", "\n", "# Check that everything loaded properly\n", "assert len(lines.first()) == 1397\n", "assert lines.count() == 46460" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(3b) Parse the data**\n", "#### Parse the data into a key-value representation. We want each key to be a tuple of two-dimensional spatial coordinates and each value to be a NumPy array storing the associated time series. Write a function that converts a line of text into a (`tuple`, `np.ndarray`) pair. Then apply this function to each record in the RDD, and inspect the first entry of the new parsed data set. Now would be a good time to cache the data, and force a computation by calling count, to ensure the data are cached." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Length of movie is 240 seconds\n", "Number of pixels in movie is 46,460\n", "\n", "First entry of rawData (with only the first five values of the NumPy array):\n", "((0, 0), [ 103. 103.7 103.2 102.7 103.8])\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "def parse(line):\n", " \"\"\"Parse the raw data into a (`tuple`, `np.ndarray`) pair.\n", "\n", " Note:\n", " You should store the pixel coordinates as a tuple of two ints and the elements of the pixel intensity\n", " time series as an np.ndarray of floats.\n", "\n", " Args:\n", " line (str): A string representing an observation. Elements are separated by spaces. The\n", " first two elements represent the coordinates of the pixel, and the rest of the elements\n", " represent the pixel intensity over time.\n", "\n", " Returns:\n", " tuple of tuple, np.ndarray: A (coordinate, pixel intensity array) `tuple` where coordinate is\n", " a `tuple` containing two values and the pixel intensity is stored in an NumPy array\n", " which contains 240 values.\n", " \"\"\"\n", " tokens = line.split(' ')\n", " return ((int(tokens[0]), int(tokens[1])), np.array(map(float, tokens[2:])))\n", "\n", "rawData = lines.map(parse)\n", "rawData.cache()\n", "entry = rawData.first()\n", "print 'Length of movie is {0} seconds'.format(len(entry[1]))\n", "print 'Number of pixels in movie is {0:,}'.format(rawData.count())\n", "print ('\\nFirst entry of rawData (with only the first five values of the NumPy array):\\n({0}, {1})'\n", " .format(entry[0], entry[1][:5]))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST Parse the data (3b)\n", "Test.assertTrue(isinstance(entry[0], tuple), \"entry's key should be a tuple\")\n", "Test.assertEquals(len(entry), 2, 'entry should have a key and a value')\n", "Test.assertTrue(isinstance(entry[0][1], int), 'coordinate tuple should contain ints')\n", "Test.assertEquals(len(entry[0]), 2, \"entry's key should have two values\")\n", "Test.assertTrue(isinstance(entry[1], np.ndarray), \"entry's value should be an np.ndarray\")\n", "Test.assertTrue(isinstance(entry[1][0], np.float), 'the np.ndarray should consist of np.float values')\n", "Test.assertEquals(entry[0], (0, 0), 'incorrect key for entry')\n", "Test.assertEquals(entry[1].size, 240, 'incorrect length of entry array')\n", "Test.assertTrue(np.allclose(np.sum(entry[1]), 24683.5), 'incorrect values in entry array')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(3c) Min and max flouresence**\n", "#### Next we'll do some basic preprocessing on the data. The raw time-series data are in units of image flouresence, and baseline flouresence varies somewhat arbitrarily from pixel to pixel. First, compute the minimum and maximum values across all pixels." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "100.6 940.8\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "mn = rawData.flatMap(lambda x: x[1]).min()\n", "mx = rawData.flatMap(lambda x: x[1]).max()\n", "\n", "print mn, mx" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST Min and max flouresence (3c)\n", "Test.assertTrue(np.allclose(mn, 100.6), 'incorrect value for mn')\n", "Test.assertTrue(np.allclose(mx, 940.8), 'incorrect value for mx')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **Visualization 5: Pixel intensity**\n", "#### Let's now see how a random pixel varies in value over the course of the time series. We'll visualize a pixel that exhibits a standard deviation of over 100." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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PHrsQkl1cK3atVls9Z+wIdgC6CMEOANC2zMEpUojDUzpq3UH9bUY2PKUa7KqK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\n8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "example = rawData.filter(lambda (k, v): np.std(v) > 100).values().first()\n", "\n", "# generate layout and plot data\n", "fig, ax = preparePlot(np.arange(0, 300, 50), np.arange(300, 800, 100))\n", "ax.set_xlabel(r'time'), ax.set_ylabel(r'flouresence')\n", "ax.set_xlim(-20, 270), ax.set_ylim(270, 730)\n", "plt.plot(range(len(example)), example, c='#8cbfd0', linewidth='3.0')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(3d) Fractional signal change**\n", "####To convert from these raw flouresence units to more intuitive units of fractional signal change, write a function that takes a time series for a particular pixel and subtracts and divides by the mean. Then apply this function to all the pixels. Confirm that this changes the maximum and minimum values." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-0.271512880125 0.905448764348\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "def rescale(ts):\n", " \"\"\"Take a np.ndarray and return the standardized array by subtracting and dividing by the mean.\n", "\n", " Note:\n", " You should first subtract the mean and then divide by the mean.\n", "\n", " Args:\n", " ts (np.ndarray): Time series data (`np.float`) representing pixel intensity.\n", "\n", " Returns:\n", " np.ndarray: The times series adjusted by subtracting the mean and dividing by the mean.\n", " \"\"\"\n", " return (ts - ts.mean()) / ts.mean()\n", "\n", "scaledData = rawData.mapValues(lambda v: rescale(v))\n", "mnScaled = scaledData.map(lambda (k, v): v).map(lambda v: min(v)).min()\n", "mxScaled = scaledData.map(lambda (k, v): v).map(lambda v: max(v)).max()\n", "print mnScaled, mxScaled" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST Fractional signal change (3d)\n", "Test.assertTrue(isinstance(scaledData.first()[1], np.ndarray), 'incorrect type returned by rescale')\n", "Test.assertTrue(np.allclose(mnScaled, -0.27151288), 'incorrect value for mnScaled')\n", "Test.assertTrue(np.allclose(mxScaled, 0.90544876), 'incorrect value for mxScaled')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **Visualization 6: Normalized data**\n", "#### Now that we've normalized our data, let's once again see how a random pixel varies in value over the course of the time series. We'll visualize a pixel that exhibits a standard deviation of over 0.1. Note the change in scale on the y-axis compared to the previous visualization." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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RvFv4e73sCIiarbYv6Cnku++AMMs605LhM7N7Unc9fOaXAwxtAYBkEfABAHzi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\nq0ajoSeeeELS8o6+Tpm2MLR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3pPgzfHFkbQEAXht6pX/22Wc1MzOjK1euSJJOnz7d8bYM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "example = scaledData.filter(lambda (k, v): np.std(v) > 0.1).values().first()\n", "\n", "# generate layout and plot data\n", "fig, ax = preparePlot(np.arange(0, 300, 50), np.arange(-.1, .6, .1))\n", "ax.set_xlabel(r'time'), ax.set_ylabel(r'flouresence')\n", "ax.set_xlim(-20, 260), ax.set_ylim(-.12, .52)\n", "plt.plot(range(len(example)), example, c='#8cbfd0', linewidth='3.0')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(3e) PCA on the scaled data**\n", "#### We now have a preprocessed dataset with $\\scriptsize n = 46460$ pixels and $\\scriptsize d = 240$ seconds of time series data for each pixel. We can interpret the pixels as our observations and each pixel value in the time series as a feature. We would like to find patterns in brain activity during this time series, and we expect to find correlations over time. We can thus use PCA to find a more compact representation of our data and allow us to visualize it.\n", " \n", "#### Use the `pca` function from Part (2a) to perform PCA on the preprocessed neuroscience data with $\\scriptsize k = 3$, resulting in a new low-dimensional 46460 by 3 dataset. The `pca` function takes an RDD of arrays, but `data` is an RDD of key-value pairs, so you'll need to extract the values." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# TODO: Replace with appropriate code\n", "# Run pca using scaledData\n", "componentsScaled, scaledScores, eigenvaluesScaled = pca(scaledData.map(lambda x: x[1]), 3)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST PCA on the scaled data (3e)\n", "Test.assertEquals(componentsScaled.shape, (240, 3), 'incorrect shape for componentsScaled')\n", "Test.assertTrue(np.allclose(np.abs(np.sum(componentsScaled[:5, :])), 0.283150995232),\n", " 'incorrect value for componentsScaled')\n", "Test.assertTrue(np.allclose(np.abs(np.sum(scaledScores.take(3))), 0.0285507449251),\n", " 'incorrect value for scaledScores')\n", "Test.assertTrue(np.allclose(np.sum(eigenvaluesScaled[:5]), 0.206987501564),\n", " 'incorrect value for eigenvaluesScaled')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **Visualization 7: Top two components as images**\n", "#### Now, we'll view the scores for the top two component as images. Note that we reshape the vectors by the dimensions of the original image, 230 x 202.\n", "#### These graphs map the values for the single component to a grayscale image. This provides us with a visual representation which we can use to see the overall structure of the zebrafish brain and to identify where high and low values occur. However, using this representation, there is a substantial amount of useful information that is difficult to interpret. In the next visualization, we'll see how we can improve interpretability by combining the two principal components into a single image using a color mapping." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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3zVybkWoAAMDbFWaaAQAAAABa4KMZAAAAAKCFgbpnZBKXlNbjVvHX6ylNGpKR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.cm as cm\n", "\n", "scoresScaled = np.vstack(scaledScores.collect())\n", "imageOneScaled = scoresScaled[:,0].reshape(230, 202).T\n", "\n", "# generate layout and plot data\n", "fig, ax = preparePlot(np.arange(0, 10, 1), np.arange(0, 10, 1), figsize=(9.0, 7.2), hideLabels=True)\n", "ax.grid(False)\n", "ax.set_title('Top Principal Component', color='#888888')\n", "image = plt.imshow(imageOneScaled,interpolation='nearest', aspect='auto', cmap=cm.gray)\n", "pass" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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XrvsD5/z58x3Xsp44ccJ6enoq7/nw8LANDAzY6OioXb58edpHcG9vb2XUZcGCBXbu3Dlb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5vHIElOShXy/FMykeS9kM8jcovJPnz00Uc3P6c5Ttcvzz3Pdyu7oLlKBTcayRpBc2GV60HjTtM8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\n9oHazz6TJKORbWxZF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageTwoScaled = scoresScaled[:,1].reshape(230, 202).T\n", "\n", "# generate layout and plot data\n", "fig, ax = preparePlot(np.arange(0, 10, 1), np.arange(0, 10, 1), figsize=(9.0, 7.2), hideLabels=True)\n", "ax.grid(False)\n", "ax.set_title('Second Principal Component', color='#888888')\n", "image = plt.imshow(imageTwoScaled,interpolation='nearest', aspect='auto', cmap=cm.gray)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **Visualization 8: Top two components as one image**\n", "#### When we perform PCA and color neurons based on their location in the low-dimensional space, we can interpret areas with similar colors as exhibiting similar responses (at least in terms of the simple representation we recover with PCA). Below, the first graph shows how low-dimensional representations, which correspond to the first two principal components, are mapped to colors. The second graph shows the result of this color mapping using the zebrafish neural data.\n", " \n", "####The second graph clearly exhibits patterns of neural similarity throughout different regions of the brain. However, when performing PCA on the full dataset, there are multiple reasons why neurons might have similar responses. The neurons might respond similarly to different stimulus directions, their responses might have similar temporal dynamics, or their response similarity could be influenced by both temporal and stimulus-specific factors. However, with our initial PCA analysis, we cannot pin down the underlying factors, and hence it is hard to interpret what \"similarity\" really means." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Optional Details: Note that we use [polar coordinates](https://en.wikipedia.org/wiki/Polar_coordinate_system) to map our low-dimensional points to colors. Using polar coordinates provides us with an angle $ (\\phi) $ and magnitude $ (\\rho) $. We then use the well-known polar color space, [hue-saturation-value](https://en.wikipedia.org/wiki/HSL_and_HSV) (HSV), and map the angle to hue and the magnitude to value (brightness). This maps low magnitude points to black while allowing larger magnitude points to be differentiated by their angle. Additionally, the function `polarTransform` that maps low-dimensional representations to colors has an input parameter called `scale`, which we set to 2.0, and you can try lower values for the two graphs to see more nuanced mappings -- values near 1.0 are particularly interesting." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Adapted from python-thunder's Colorize.transform where cmap='polar'.\n", "# Checkout the library at: https://github.com/thunder-project/thunder and\n", "# http://thunder-project.org/\n", "\n", "def polarTransform(scale, img):\n", " \"\"\"Convert points from cartesian to polar coordinates and map to colors.\"\"\"\n", " from matplotlib.colors import hsv_to_rgb\n", "\n", " img = np.asarray(img)\n", " dims = img.shape\n", "\n", " phi = ((np.arctan2(-img[0], -img[1]) + np.pi/2) % (np.pi*2)) / (2 * np.pi)\n", " rho = np.sqrt(img[0]**2 + img[1]**2)\n", " saturation = np.ones((dims[1], dims[2]))\n", "\n", " out = hsv_to_rgb(np.dstack((phi, saturation, scale * rho)))\n", "\n", " return np.clip(out * scale, 0, 1)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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OdZ2dnZqYmFh0o6anp3Xr1i11d3fPOt/d3a0bN2443tPd3a1YLKYrV64olUop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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show the polar mapping from principal component coordinates to colors.\n", "x1AbsMax = np.max(np.abs(imageOneScaled))\n", "x2AbsMax = np.max(np.abs(imageTwoScaled))\n", "\n", "numOfPixels = 300\n", "x1Vals = np.arange(-x1AbsMax, x1AbsMax, (2 * x1AbsMax) / numOfPixels)\n", "x2Vals = np.arange(x2AbsMax, -x2AbsMax, -(2 * x2AbsMax) / numOfPixels)\n", "x2Vals.shape = (numOfPixels, 1)\n", "\n", "x1Data = np.tile(x1Vals, (numOfPixels, 1))\n", "x2Data = np.tile(x2Vals, (1, numOfPixels))\n", "\n", "# Try changing the first parameter to lower values\n", "polarMap = polarTransform(2.0, [x1Data, x2Data])\n", "\n", "gridRange = np.arange(0, numOfPixels + 25, 25)\n", "fig, ax = preparePlot(gridRange, gridRange, figsize=(9.0, 7.2), hideLabels=True)\n", "image = plt.imshow(polarMap, interpolation='nearest', aspect='auto')\n", "ax.set_xlabel('Principal component one'), ax.set_ylabel('Principal component two')\n", "gridMarks = (2 * gridRange / float(numOfPixels) - 1.0)\n", "x1Marks = x1AbsMax * gridMarks\n", "x2Marks = -x2AbsMax * gridMarks\n", "ax.get_xaxis().set_ticklabels(map(lambda x: '{0:.1f}'.format(x), x1Marks))\n", "ax.get_yaxis().set_ticklabels(map(lambda x: '{0:.1f}'.format(x), x2Marks))\n", "pass" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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VafAZopE1zh7FYN9hH/MJ82fgMlPsZNfmee3KRg/yqCVbgH4wwZ/DQYXDnIsd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\nPkgaxjGvrcEcdAQ6z9OgosvoF5OQ1HRRz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YW5vMPlU/LCZNwIv86ptK03Jh12/rFX2E6z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\n/vQa5eGX4Rz6IUHagrlsCvrgMTj/CKQEI7BGKYdE81g8v2+gGEgPPjOK9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cPF5XEfKQku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Gogij7W8h/jbo7wvuwj+uQoyBUETktfM1zuGCmHfHRNU5kCRQF/drjvHk6yk9YPLXGsRMXuek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5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\nXLOU8NC7IxZqh9eo5cUBvYzzWkch1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TdqAOdEz2rTrlM/ZUddmJtIbRzNmGUrzSNWO3iO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\nBltB8RwYqIgUJng69sgKzK/c0sdS+Aa59Uk72h4Z0fYM0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Use the same transformation on the image data\n", "# Try changing the first parameter to lower values\n", "brainmap = polarTransform(2.0, [imageOneScaled, imageTwoScaled])\n", "\n", "# generate layout and plot data\n", "fig, ax = preparePlot(np.arange(0, 10, 1), np.arange(0, 10, 1), figsize=(9.0, 7.2), hideLabels=True)\n", "ax.grid(False)\n", "image = plt.imshow(brainmap,interpolation='nearest', aspect='auto')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### **Part 4: Feature-based aggregation and PCA**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(4a) Aggregation using arrays**\n", " \n", "#### In the analysis in Part 3, we performed PCA on the full time series data, trying to find global patterns across all 240 seconds of the time series. However, our analysis doesn't use the fact that different events happened during those 240 seconds. Specifically, during those 240 seconds, the zebrafish was presented with 12 different direction-specific visual patterns, with each one lasting for 20 seconds, for a total of 12 x 20 = 240 features. Stronger patterns are likely to emerge if we incorporate knowledge of our experimental setup into our analysis. As we'll see, we can isolate the impact of temporal response or direction-specific impact by appropriately aggregating our features.\n", " \n", "#### In order to aggregate the features we will use basic ideas from matrix multiplication. First, note that if we use `np.dot` with a two-dimensional array, then NumPy performs the equivalent matrix-multiply calculation. For example, `np.array([[1, 2, 3], [4, 5, 6]]).dot(np.array([2, 0, 1]))` produces `np.array([5, 14])`.\n", "#### $$\\begin{bmatrix} 1 & 2 & 3 \\\\\\ 4 & 5 & 6 \\end{bmatrix} \\begin{bmatrix} 2 \\\\\\ 0 \\\\\\ 1 \\end{bmatrix} = \\begin{bmatrix} 5 \\\\\\ 14 \\end{bmatrix} $$\n", "#### By setting up our multi-dimensional array properly we can multiply it by a vector to perform certain aggregation operations. For example, imagine we had a 3 dimensional vector, $ \\scriptsize \\begin{bmatrix} 1 & 2 & 3 \\end{bmatrix}^\\top $ and we wanted to create a 2 dimensional vector containing the sum of its first and last elements as one value and three times its second value as another value, i.e., $ \\scriptsize \\begin{bmatrix} 4 & 6 \\end{bmatrix}^\\top $. We can generate this result via matrix multiplication as follows: `np.array([[1, 0, 1], [0, 3, 0]]).dot(np.array([1, 2, 3])` which produces `np.array([4, 6]`.\n", "#### $$\\begin{bmatrix} 1 & 0 & 1 \\\\\\ 0 & 3 & 0 \\end{bmatrix} \\begin{bmatrix} 1 \\\\\\ 2 \\\\\\ 3 \\end{bmatrix} = \\begin{bmatrix} 4 \\\\\\ 6 \\end{bmatrix} $$\n", "#### For this exercise, you'll create several arrays that perform different types of aggregation. The aggregation is specified in the comments before each array. You should fill in the array values by hand. We'll automate array creation in the next two exercises." ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sumEveryOther.dot(vector):\t[ 6. 9.]\n", "sumEveryThird.dot(vector):\t[ 3. 5. 7.]\n", "\n", "sumByThree.dot(vector):\t[ 3. 12.]\n", "sumByTwo.dot(vector): \t[ 1. 5. 9.]\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "vector = np.array([0., 1., 2., 3., 4., 5.])\n", "\n", "# Create a multi-dimensional array that when multiplied (using .dot) against vector, results in\n", "# a two element array where the first element is the sum of the 0, 2, and 4 indexed elements of\n", "# vector and the second element is the sum of the 1, 3, and 5 indexed elements of vector.\n", "# This should be a 2 row by 6 column array\n", "sumEveryOther = np.array([[1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 0, 1]])\n", "\n", "# Create a multi-dimensional array that when multiplied (using .dot) against vector, results in a\n", "# three element array where the first element is the sum of the 0 and 3 indexed elements of vector,\n", "# the second element is the sum of the 1 and 4 indexed elements of vector, and the third element is\n", "# the sum of the 2 and 5 indexed elements of vector.\n", "# This should be a 3 row by 6 column array\n", "sumEveryThird = np.array([[1, 0, 0, 1, 0, 0], [0, 1, 0, 0, 1, 0], [0, 0, 1, 0, 0, 1]])\n", "\n", "# Create a multi-dimensional array that can be used to sum the first three elements of vector and\n", "# the last three elements of vector, which returns a two element array with those values when dotted\n", "# with vector.\n", "# This should be a 2 row by 6 column array\n", "sumByThree = np.array([[1, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 1]])\n", "\n", "# Create a multi-dimensional array that sums the first two elements, second two elements, and\n", "# last two elements of vector, which returns a three element array with those values when dotted\n", "# with vector.\n", "# This should be a 3 row by 6 column array\n", "sumByTwo = np.array([[1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1]])\n", "\n", "print 'sumEveryOther.dot(vector):\\t{0}'.format(sumEveryOther.dot(vector))\n", "print 'sumEveryThird.dot(vector):\\t{0}'.format(sumEveryThird.dot(vector))\n", "\n", "print '\\nsumByThree.dot(vector):\\t{0}'.format(sumByThree.dot(vector))\n", "print 'sumByTwo.dot(vector): \\t{0}'.format(sumByTwo.dot(vector))" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST Aggregation using arrays (4a)\n", "Test.assertEquals(sumEveryOther.shape, (2, 6), 'incorrect shape for sumEveryOther')\n", "Test.assertEquals(sumEveryThird.shape, (3, 6), 'incorrect shape for sumEveryThird')\n", "Test.assertTrue(np.allclose(sumEveryOther.dot(vector), [6, 9]), 'incorrect value for sumEveryOther')\n", "Test.assertTrue(np.allclose(sumEveryThird.dot(vector), [3, 5, 7]),\n", " 'incorrect value for sumEveryThird')\n", "Test.assertEquals(sumByThree.shape, (2, 6), 'incorrect shape for sumByThree')\n", "Test.assertEquals(sumByTwo.shape, (3, 6), 'incorrect shape for sumByTwo')\n", "Test.assertTrue(np.allclose(sumByThree.dot(vector), [3, 12]), 'incorrect value for sumByThree')\n", "Test.assertTrue(np.allclose(sumByTwo.dot(vector), [1, 5, 9]), 'incorrect value for sumByTwo')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(4b) Recreate with `np.tile` and `np.eye`**\n", "#### [np.tile](http://docs.scipy.org/doc/numpy/reference/generated/numpy.tile.html) is useful for repeating arrays in one or more dimensions. For example, `np.tile(np.array([[1, 2], [3, 4]]), 2)` produces `np.array([[1, 2, 1, 2], [3, 4, 3, 4]]))`.\n", "#### $$ np.tile( \\begin{bmatrix} 1 & 2 \\\\\\ 3 & 4 \\end{bmatrix} , 2) \\to \\begin{bmatrix} 1 & 2 & 1& 2 \\\\\\ 3 & 4 & 3 & 4 \\end{bmatrix} $$\n", "#### Recall that [np.eye](http://docs.scipy.org/doc/numpy/reference/generated/numpy.eye.html) can be used to create an identity array $ (\\mathbf{I_n}) $. For example, `np.eye(3)` produces `np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1]])`.\n", "#### $$ np.eye( 3 ) \\to \\begin{bmatrix} 1 & 0 & 0 \\\\\\ 0 & 1 & 0 \\\\\\ 0 & 0 & 1 \\end{bmatrix} $$\n", "#### In this exercise, recreate `sumEveryOther` and `sumEveryThird` using `np.tile` and `np.eye`." ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sumEveryOther: \n", "[[1 0 1 0 1 0]\n", " [0 1 0 1 0 1]]\n", "\n", "sumEveryThird: \n", "[[1 0 0 1 0 0]\n", " [0 1 0 0 1 0]\n", " [0 0 1 0 0 1]]\n" ] } ], "source": [ "# Reference for what to recreate\n", "print 'sumEveryOther: \\n{0}'.format(sumEveryOther)\n", "print '\\nsumEveryThird: \\n{0}'.format(sumEveryThird)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 1. 0. 1. 0. 1. 0.]\n", " [ 0. 1. 0. 1. 0. 1.]]\n", "sumEveryOtherTile.dot(vector): [ 6. 9.]\n", "\n", "[[ 1. 0. 0. 1. 0. 0.]\n", " [ 0. 1. 0. 0. 1. 0.]\n", " [ 0. 0. 1. 0. 0. 1.]]\n", "sumEveryThirdTile.dot(vector): [ 3. 5. 7.]\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "# Use np.tile and np.eye to recreate the arrays\n", "sumEveryOtherTile = np.tile(np.eye(2), 3)\n", "sumEveryThirdTile = np.tile(np.eye(3), 2)\n", "\n", "print sumEveryOtherTile\n", "print 'sumEveryOtherTile.dot(vector): {0}'.format(sumEveryOtherTile.dot(vector))\n", "print '\\n', sumEveryThirdTile\n", "print 'sumEveryThirdTile.dot(vector): {0}'.format(sumEveryThirdTile.dot(vector))" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST Recreate with `np.tile` and `np.eye` (4b)\n", "Test.assertEquals(sumEveryOtherTile.shape, (2, 6), 'incorrect shape for sumEveryOtherTile')\n", "Test.assertEquals(sumEveryThirdTile.shape, (3, 6), 'incorrect shape for sumEveryThirdTile')\n", "Test.assertTrue(np.allclose(sumEveryOtherTile.dot(vector), [6, 9]),\n", " 'incorrect value for sumEveryOtherTile')\n", "Test.assertTrue(np.allclose(sumEveryThirdTile.dot(vector), [3, 5, 7]),\n", " 'incorrect value for sumEveryThirdTile')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(4c) Recreate with `np.kron` **\n", "#### The Kronecker product is the generalization of outer products involving matrices, and we've included some examples below to illustrate the idea. Please refer to the [Wikipedia page](https://en.wikipedia.org/wiki/Kronecker_product) for a detailed definition. We can use [np.kron](http://docs.scipy.org/doc/numpy/reference/generated/numpy.kron.html) to compute Kronecker products and recreate the `sumBy` arrays. Note that $ \\otimes $ indicates a Kronecker product.\n", "#### $$ \\begin{bmatrix} 1 & 2 \\\\\\ 3 & 4 \\end{bmatrix} \\otimes \\begin{bmatrix} 1 & 2 \\end{bmatrix} = \\begin{bmatrix} 1 \\cdot 1 & 1 \\cdot 2 & 2 \\cdot 1 & 2 \\cdot 2 \\\\\\ 3 \\cdot 1 & 3 \\cdot 2 & 4 \\cdot 1 & 4 \\cdot 2 \\end{bmatrix} = \\begin{bmatrix} 1 & 2 & 2 & 4 \\\\\\ 3 & 6 & 4 & 8 \\end{bmatrix} $$\n", "#### We can see how the Kronecker product continues to expand if we add another row to the second array.\n", "#### $$ \\begin{bmatrix} 1 & 2 \\\\\\ 3 & 4 \\end{bmatrix} \\otimes \\begin{bmatrix} 1 & 2 \\\\\\ 3 & 4 \\end{bmatrix} = \\begin{bmatrix} 1 \\cdot 1 & 1 \\cdot 2 & 2 \\cdot 1 & 2 \\cdot 2 \\\\\\ 1 \\cdot 3 & 1 \\cdot 4 & 2 \\cdot 3 & 2 \\cdot 4 \\\\\\ 3 \\cdot 1 & 3 \\cdot 2 & 4 \\cdot 1 & 4 \\cdot 2 \\\\\\ 3 \\cdot 3 & 3 \\cdot 4 & 4 \\cdot 3 & 4 \\cdot 4 \\end{bmatrix} = \\begin{bmatrix} 1 & 2 & 2 & 4 \\\\\\ 3 & 4 & 6 & 8 \\\\\\ 3 & 6 & 4 & 8 \\\\\\ 9 & 12 & 12 & 16 \\end{bmatrix} $$\n", "#### For this exercise, you'll recreate the `sumByThree` and `sumByTwo` arrays using `np.kron`, `np.eye`, and `np.ones`. Note that `np.ones` creates an array of all ones." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sumByThree: \n", "[[1 1 1 0 0 0]\n", " [0 0 0 1 1 1]]\n", "\n", "sumByTwo: \n", "[[1 1 0 0 0 0]\n", " [0 0 1 1 0 0]\n", " [0 0 0 0 1 1]]\n" ] } ], "source": [ "# Reference for what to recreate\n", "print 'sumByThree: \\n{0}'.format(sumByThree)\n", "print '\\nsumByTwo: \\n{0}'.format(sumByTwo)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 1. 1. 1. 0. 0. 0.]\n", " [ 0. 0. 0. 1. 1. 1.]]\n", "sumByThreeKron.dot(vector): [ 3. 12.]\n", "\n", "[[ 1. 1. 0. 0. 0. 0.]\n", " [ 0. 0. 1. 1. 0. 0.]\n", " [ 0. 0. 0. 0. 1. 1.]]\n", "sumByTwoKron.dot(vector): [ 1. 5. 9.]\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "# Use np.kron, np.eye, and np.ones to recreate the arrays\n", "sumByThreeKron = np.kron(np.eye(2), np.ones(3))\n", "sumByTwoKron = np.kron(np.eye(3), np.ones(2))\n", "\n", "print sumByThreeKron\n", "print 'sumByThreeKron.dot(vector): {0}'.format(sumByThreeKron.dot(vector))\n", "print '\\n', sumByTwoKron\n", "print 'sumByTwoKron.dot(vector): {0}'.format(sumByTwoKron.dot(vector))" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST Recreate with `np.kron` (4c)\n", "Test.assertEquals(sumByThreeKron.shape, (2, 6), 'incorrect shape for sumByThreeKron')\n", "Test.assertEquals(sumByTwoKron.shape, (3, 6), 'incorrect shape for sumByTwoKron')\n", "Test.assertTrue(np.allclose(sumByThreeKron.dot(vector), [3, 12]),\n", " 'incorrect value for sumByThreeKron')\n", "Test.assertTrue(np.allclose(sumByTwoKron.dot(vector), [1, 5, 9]),\n", " 'incorrect value for sumByTwoKron')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(4d) Aggregate by time** As we discussed in Part (4a), we would like to incorporate knowledge of our experimental setup into our analysis. To do this, we'll first study the temporal aspects of neural response, by aggregating our features by time. In other words, we want to see how different pixels (and the underlying neurons captured in these pixels) react in each of the 20 seconds after a new visual pattern is displayed, regardless of what the pattern is. Hence, instead of working with the 240 features individually, we'll aggregate the original features into 20 new features, where the first new feature captures the pixel response one second after a visual pattern appears, the second new feature is the response after two seconds, and so on.\n", " \n", "#### We can perform this aggregation using a map operation. First, build a multi-dimensional array $ \\scriptsize \\mathbf{T} $ that, when dotted with a 240-dimensional vector, sums every 20-th component of this vector and returns a 20-dimensional vector. Note that this exercise is similar to (4b). Once you have created your multi-dimensional array $ \\scriptsize \\mathbf{T} $, use a `map` operation with that array and each time series to generate a transformed dataset. We'll cache and count the output, as we'll be using it again." ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "46460\n", "((0, 0), array([ 0.00802155, 0.00607693, -0.0075354 , 0.00121539, 0.02163388,\n", " 0.00121539, -0.03087082, 0.00510462, 0.01191079, 0.02455081,\n", " -0.0182308 , 0.00802155, -0.00948002, -0.00948002, 0.02163388,\n", " -0.02212004, 0.00704924, 0.00121539, -0.01142464, -0.00850771]))\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "# Create a multi-dimensional array to perform the aggregation\n", "T = np.tile(np.eye(20), 12)\n", "\n", "# Transform scaledData using T. Make sure to retain the keys.\n", "timeData = scaledData.map(lambda x: (x[0], T.dot(x[1])))\n", "\n", "timeData.cache()\n", "print timeData.count()\n", "print timeData.first()" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST Aggregate by time (4d)\n", "Test.assertEquals(T.shape, (20, 240), 'incorrect shape for T')\n", "timeDataFirst = timeData.values().first()\n", "timeDataFifth = timeData.values().take(5)[4]\n", "Test.assertEquals(timeData.count(), 46460, 'incorrect length of timeData')\n", "Test.assertEquals(timeDataFirst.size, 20, 'incorrect value length of timeData')\n", "Test.assertEquals(timeData.keys().first(), (0, 0), 'incorrect keys in timeData')\n", "Test.assertTrue(np.allclose(timeDataFirst[:2], [0.00802155, 0.00607693]),\n", " 'incorrect values in timeData')\n", "Test.assertTrue(np.allclose(timeDataFifth[-2:],[-0.00636676, -0.0179427]),\n", " 'incorrect values in timeData')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(4e) Obtain a compact representation**\n", "#### We now have a time-aggregated dataset with $\\scriptsize n = 46460$ pixels and $\\scriptsize d = 20$ aggregated time features, and we want to use PCA to find a more compact representation. Use the `pca` function from Part (2a) to perform PCA on the this data with $\\scriptsize k = 3$, resulting in a new low-dimensional 46,460 by 3 dataset. As before, you'll need to extract the values from `timeData` since it is an RDD of key-value pairs." ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "componentsTime: (first five) \n", "[[ 0.27392702 -0.16152431 0.01388556]\n", " [ 0.09941893 -0.31968127 -0.34738824]\n", " [-0.03376505 -0.32933108 -0.35606954]\n", " [-0.12092744 -0.2845482 -0.27232364]\n", " [-0.18219248 -0.22998061 -0.12248985]]\n", "\n", "timeScores (first three): \n", "[-0.00720617 -0.00292979 -0.00223645]\n", "[ 0.02353076 -0.00197457 0.00362094]\n", "[ 0.01310623 0.00123069 -0.00582974]\n", "\n", "eigenvaluesTime: (first five) \n", "[ 0.77528991 0.05038881 0.01173423 0.0059711 0.00138073]\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "componentsTime, timeScores, eigenvaluesTime = pca(timeData.map(lambda x: x[1]), 3)\n", "\n", "print 'componentsTime: (first five) \\n{0}'.format(componentsTime[:5,:])\n", "print ('\\ntimeScores (first three): \\n{0}'\n", " .format('\\n'.join(map(str, timeScores.take(3)))))\n", "print '\\neigenvaluesTime: (first five) \\n{0}'.format(eigenvaluesTime[:5])" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST Obtain a compact representation (4e)\n", "Test.assertEquals(componentsTime.shape, (20, 3), 'incorrect shape for componentsTime')\n", "Test.assertTrue(np.allclose(np.abs(np.sum(componentsTime[:5, :])), 2.37299020),\n", " 'incorrect value for componentsTime')\n", "Test.assertTrue(np.allclose(np.abs(np.sum(timeScores.take(3))), 0.0213119114),\n", " 'incorrect value for timeScores')\n", "Test.assertTrue(np.allclose(np.sum(eigenvaluesTime[:5]), 0.844764792),\n", " 'incorrect value for eigenvaluesTime')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### ** Visualization 9: Top two components by time **\n", "#### Let's view the scores from the first two PCs as a composite image. When we preprocess by aggregating by time and then perform PCA, we are only looking at variability related to temporal dynamics. As a result, if neurons appear similar -- have similar colors -- in the resulting image, it means that their responses vary similarly over time, regardless of how they might be encoding direction. In the image below, we can define the midline as the horizontal line across the middle of the brain. We see clear patterns of neural activity in different parts of the brain, and crucially note that the regions on either side of the midline are similar, which suggests that temporal dynamics do not differ across the two sides of the brain." ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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IXbzxAk6avhMSi82Dn2naqWvKGPNlJDH5RVBx66ANFwYUpPxeHWq1judVnxcR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\nfaNol9dmVaYJpLFNbumiXEQ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7/n7YoAPtJuzz4AaHW6lLBHowexb6DAR2N9IRdZIfKEgH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UVssNSmtR09GtXWdmhR6/pvYQdzEYP791W61isxXXxIonsCu3yXYedoalo3N1unXaEwdsGHW2UX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\neZJL8HxuRaYuyCfY5jiVdB2cv+cEzK8GIIWZSrwK0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KzJ2A3p5K3YJR2rS8xGSDJo3FFQ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CIKhDE+4ZlxKXuXRrtK0NxfKS8aZuTJ+5lk+qcyqpcI3JUyqqJ+yTorlHWRW0bhtXvosHuxJP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\n3EBuignEy5bNgVAPm4wqbktqYXO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2BKGdiQwPrdhddSFYdD7K0Yvvs/JEbajp1jVphdpE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lNz3wG6eQbzHYuxqIgwgMcv3N3MzO7UtLH58YxjcZcN6NaiTX33UFDrtFYZxvUa9yHsj2tQ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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "scoresTime = np.vstack(timeScores.collect())\n", "imageOneTime = scoresTime[:,0].reshape(230, 202).T\n", "imageTwoTime = scoresTime[:,1].reshape(230, 202).T\n", "brainmap = polarTransform(3, [imageOneTime, imageTwoTime])\n", "\n", "# generate layout and plot data\n", "fig, ax = preparePlot(np.arange(0, 10, 1), np.arange(0, 10, 1), figsize=(9.0, 7.2), hideLabels=True)\n", "ax.grid(False)\n", "image = plt.imshow(brainmap,interpolation='nearest', aspect='auto')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(4f) Aggregate by direction**\n", "#### Next, let's perform a second type of feature aggregation so that we can study the direction-specific aspects of neural response, by aggregating our features by direction. In other words, we want to see how different pixels (and the underlying neurons captured in these pixels) react when the zebrafish is presented with 12 direction-specific patterns, ignoring the temporal aspect of the reaction. Hence, instead of working with the 240 features individually, we'll aggregate the original features into 12 new features, where the first new feature captures the average pixel response to the first direction-specific visual pattern, the second new feature is the response to the second direction-specific visual pattern, and so on.\n", " \n", "#### As in Part (4c), we'll design a multi-dimensional array $ \\scriptsize \\mathbf{D} $ that, when multiplied by a 240-dimensional vector, sums the first 20 components, then the second 20 components, and so on. Note that this is similar to exercise (4c). First create $ \\scriptsize \\mathbf{D} $, then use a `map` operation with that array and each time series to generate a transformed dataset. We'll cache and count the output, as we'll be using it again." ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "46460\n", "((0, 0), array([ 0.03346365, 0.03638058, -0.02195799, -0.02487492, 0.00721129,\n", " 0.00332206, -0.02098568, 0.00915591, -0.00542873, -0.01029027,\n", " 0.0081836 , -0.01417951]))\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "# Create a multi-dimensional array to perform the aggregation\n", "D = np.kron(np.eye(12), np.ones(20))\n", "\n", "# Transform scaledData using D. Make sure to retain the keys.\n", "directionData = scaledData.map(lambda x: (x[0], D.dot(x[1])))\n", "\n", "directionData.cache()\n", "print directionData.count()\n", "print directionData.first()" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST Aggregate by direction (4f)\n", "Test.assertEquals(D.shape, (12, 240), 'incorrect shape for D')\n", "directionDataFirst = directionData.values().first()\n", "directionDataFifth = directionData.values().take(5)[4]\n", "Test.assertEquals(directionData.count(), 46460, 'incorrect length of directionData')\n", "Test.assertEquals(directionDataFirst.size, 12, 'incorrect value length of directionData')\n", "Test.assertEquals(directionData.keys().first(), (0, 0), 'incorrect keys in directionData')\n", "Test.assertTrue(np.allclose(directionDataFirst[:2], [ 0.03346365, 0.03638058]),\n", " 'incorrect values in directionData')\n", "Test.assertTrue(np.allclose(directionDataFifth[:2], [ 0.01479147, -0.02090099]),\n", " 'incorrect values in directionData')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(4g) Compact representation of direction data**\n", "#### We now have a direction-aggregated dataset with $\\scriptsize n = 46460$ pixels and $\\scriptsize d = 12$ aggregated direction features, and we want to use PCA to find a more compact representation. Use the `pca` function from Part (2a) to perform PCA on the this data with $\\scriptsize k = 3$, resulting in a new low-dimensional 46460 by 3 dataset. As before, you'll need to extract the values from `directionData` since it is an RDD of key-value pairs." ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "componentsDirection: (first five) \n", "[[-0.25952179 0.16201941 0.24947433]\n", " [-0.31369506 -0.09185175 0.29464223]\n", " [-0.21716693 -0.35944645 0.35296454]\n", " [-0.11517273 -0.37356905 0.07169062]\n", " [ 0.02996577 -0.36272623 -0.14783897]]\n", "\n", "directionScores (first three): \n", "[-0.01622513 0.01322998 0.01322204]\n", "[ 0.00999482 0.0652367 -0.04524758]\n", "[ 0.004646 0.05751097 0.00756383]\n", "\n", "eigenvaluesDirection: (first five) \n", "[ 0.96411048 0.77613553 0.12762987 0.09775924 0.04333691]\n" ] } ], "source": [ "# TODO: Replace with appropriate code\n", "componentsDirection, directionScores, eigenvaluesDirection = pca(directionData.map(lambda x: x[1]), 3)\n", "\n", "print 'componentsDirection: (first five) \\n{0}'.format(componentsDirection[:5,:])\n", "print ('\\ndirectionScores (first three): \\n{0}'\n", " .format('\\n'.join(map(str, directionScores.take(3)))))\n", "print '\\neigenvaluesDirection: (first five) \\n{0}'.format(eigenvaluesDirection[:5])" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 test passed.\n", "1 test passed.\n", "1 test passed.\n", "1 test passed.\n" ] } ], "source": [ "# TEST Compact representation of direction data (4g)\n", "Test.assertEquals(componentsDirection.shape, (12, 3), 'incorrect shape for componentsDirection')\n", "Test.assertTrue(np.allclose(np.abs(np.sum(componentsDirection[:5, :])), 1.080232069),\n", " 'incorrect value for componentsDirection')\n", "Test.assertTrue(np.allclose(np.abs(np.sum(directionScores.take(3))), 0.10993162084),\n", " 'incorrect value for directionScores')\n", "Test.assertTrue(np.allclose(np.sum(eigenvaluesDirection[:5]), 2.0089720377),\n", " 'incorrect value for eigenvaluesDirection')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " \n", "#### **Visualization 10: Top two components by direction**\n", "#### Again, let's view the scores from the first two PCs as a composite image. When we preprocess by averaging across time (group by direction), and then perform PCA, we are only looking at variability related to stimulus direction. As a result, if neurons appear similar -- have similar colors -- in the image, it means that their responses vary similarly across directions, regardless of how they evolve over time. In the image below, we see a different pattern of similarity across regions of the brain. Moreover, regions on either side of the midline are colored differently, which suggests that we are looking at a property, direction selectivity, that has a different representation across the two sides of the brain." ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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gHztR0YxnevKXJu6tDX+cQt/VMDa9oGjJHHjCTWTGON1HxDna2YGfNuATRYhb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cDofD4XA4EsBfmh0Oh8PhcDgcjgTYOeUZ5I2YlLueBNz9O+BAwCdOhk0G6ZtDEY9BPCukTRIg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e/DPvIn7I+f6mCG+1nA/nK3/dAh5Yu1N2tunmNv2W0zlO98T7vd20GN3dvsVThKeap9yAPN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\n1XaNoz8XLBNi+RAM8ktIexbINpTPasBg47uLD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "scoresDirection = np.vstack(directionScores.collect())\n", "imageOneDirection = scoresDirection[:,0].reshape(230, 202).T\n", "imageTwoDirection = scoresDirection[:,1].reshape(230, 202).T\n", "brainmap = polarTransform(2, [imageOneDirection, imageTwoDirection])\n", "# with thunder: Colorize(cmap='polar', scale=2).transform([imageOneDirection, imageTwoDirection])\n", "\n", "# generate layout and plot data\n", "fig, ax = preparePlot(np.arange(0, 10, 1), np.arange(0, 10, 1), figsize=(9.0, 7.2), hideLabels=True)\n", "ax.grid(False)\n", "image = plt.imshow(brainmap, interpolation='nearest', aspect='auto')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### **(4h) Next steps**\n", "#### In the analyses above we have successfully identified regions of the brain that encode particular properties, e.g., a particular temporal pattern or selectivity to a stimulus. However, this is only the first step! These exploratory analyses are typically followed with more targeted investigation, both through analysis and experiment. For example, we might find all neurons that prefer one stimulus direction, and then do an experiment in which we stimulate or inactivate only those neurons and look at the effect on the animal's behavior. Alternatively, we might subdivide neurons into groups based on simple forms of stimulus selectivity like the ones analyzed here, and then estimate coupling across different neuronal populations, i.e. can we predict one population's response as a function of another. This can be framed as a massive pair-wise regression problem, related to techniques you learned earlier in the course, and demanding large-scale implementations." ] } ], "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": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }