{ "metadata": { "name": "finding_outliers_reprise" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "For this notebook, you'll need the image from the course website: http://nipy.bic.berkeley.edu/practical_neuroimaging/bold.nii.gz \n", "\n", "Download it into the same directory as the notebook." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.kernel.zmq.pylab.backend_inline].\n", "For more information, type 'help(pylab)'.\n" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember to be explicit about our imports" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pylab as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Image loading library" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import nibabel as nib" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "fname = 'bold.nii.gz'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "img = nib.load(fname)\n", "img.shape" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 5, "text": [ "(64, 64, 35, 165)" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "data = img.get_data()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "data.dtype" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 7, "text": [ "dtype('int16')" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "data = data.astype(np.float32) # We need higher precision for our calculations" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "difference_volumes = np.diff(data, axis=3)\n", "difference_volumes.shape" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 9, "text": [ "(64, 64, 35, 164)" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "sq_diff = difference_volumes ** 2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want to take the mean of the squared difference *across voxels within a volume*. So we need to reshape to an array that is voxels by scans." ] }, { "cell_type": "code", "collapsed": false, "input": [ "n_voxels = np.prod(sq_diff.shape[:-1])\n", "n_scans = sq_diff.shape[-1]\n", "n_voxels, n_scans" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 11, "text": [ "(143360, 164)" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "vox_by_scans = np.reshape(sq_diff, (n_voxels, n_scans))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "vox_by_scans.shape" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 13, "text": [ "(143360, 164)" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "scan_means = np.mean(vox_by_scans, axis=0)\n", "rms = np.sqrt(scan_means)\n", "plt.plot(rms)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 14, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Assert" ] }, { "cell_type": "code", "collapsed": false, "input": [ "rms" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 15, "text": [ "array([ 21.37829399, 21.55786514, 22.90981674, 21.0092392 ,\n", " 19.14093018, 19.34042931, 20.33923531, 19.72624779,\n", " 19.20626831, 19.1655426 , 19.31467247, 19.29933929,\n", " 19.64847565, 20.38537979, 21.09734154, 20.79466629,\n", " 21.05896378, 21.22260666, 21.51582146, 22.25740433,\n", " 22.14149094, 20.5478611 , 20.3484745 , 19.33082008,\n", " 19.5223484 , 19.62931633, 20.07916451, 19.83069229,\n", " 20.37201118, 20.68777466, 20.72026062, 20.72160721,\n", " 22.06051064, 21.7769928 , 20.5906868 , 20.39357185,\n", " 20.0847187 , 20.22652435, 20.22488976, 20.64841461,\n", " 20.31625938, 20.32613564, 20.82729912, 20.82919312,\n", " 20.49733734, 20.63652802, 20.71328354, 20.60631943,\n", " 20.63438606, 22.7435894 , 25.08402443, 22.15480232,\n", " 20.31813622, 21.49239731, 22.93136215, 21.85350037,\n", " 20.71713257, 20.75389862, 20.6148243 , 20.80734253,\n", " 21.40749741, 21.45947647, 20.65410042, 20.53489494,\n", " 26.78358841, 30.37088585, 21.19126511, 20.53188705,\n", " 20.66870308, 20.78804207, 20.68810272, 20.48601151,\n", " 20.27190208, 20.46998215, 21.73822212, 21.66768646,\n", " 22.29109764, 21.82066727, 20.9644146 , 20.64793777,\n", " 21.54236794, 21.66319084, 21.15878105, 20.92150307,\n", " 20.55589294, 21.12077332, 20.64767265, 20.47261047,\n", " 21.01286888, 20.71836472, 20.30692291, 20.72637939,\n", " 20.55831718, 20.69306755, 20.46246147, 20.15977669,\n", " 20.35247231, 20.33913803, 21.17718506, 21.22943687,\n", " 20.6655426 , 20.59701347, 20.62110519, 20.99123573,\n", " 23.87256622, 22.76289368, 20.32838821, 19.5613575 ,\n", " 19.70575905, 19.7425251 , 21.26521111, 21.3801899 ,\n", " 22.28580284, 21.09300232, 20.63578606, 20.55285263,\n", " 20.69499397, 20.53114891, 20.72611427, 20.62341309,\n", " 20.91604996, 20.96081543, 20.42824745, 20.47571564,\n", " 20.88507462, 20.90059662, 20.65011215, 20.88697243,\n", " 20.72612953, 20.63994026, 20.66607475, 20.59076118,\n", " 22.50296974, 21.29590034, 22.22260857, 21.04150963,\n", " 20.23121071, 19.65003395, 20.13300323, 20.39213181,\n", " 20.44101524, 20.34570312, 20.69584274, 20.68807602,\n", " 20.78573799, 20.53284645, 20.23099709, 20.24572372,\n", " 20.52599716, 20.39331245, 20.2400856 , 20.39010429,\n", " 20.2218895 , 20.51807022, 20.66083527, 20.5424633 ,\n", " 21.45739174, 20.94854736, 20.21707535, 22.44255829,\n", " 24.59318733, 22.98219299, 22.61777115, 26.26057816], dtype=float32)" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "assert True\n", "assert 1 == 1" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Your first task, should you choose to accept it" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We may need to get this RMS trace for more than one array, or image.\n", "\n", "Make a *function* that takes an array, and returns the RMS time course." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def difference_rms(img_arr):\n", " \"\"\" Your code goes here \"\"\"\n", " # You want to return the RMS from this function\n", "\n", "result = difference_rms(data)\n", "# assert np.all(result == rms) # This should work" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Finding the worst volume" ] }, { "cell_type": "code", "collapsed": false, "input": [ "worst = np.argmax(rms)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "worst" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 19, "text": [ "65" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "worst_vol = difference_volumes[:, :, :, worst]\n", "plt.gray()\n", "plt.imshow(worst_vol[:, :, 17], interpolation='nearest')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 20, "text": [ "" ] }, { "output_type": "display_data", "png": 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sLm/SUQ1+fpSVvD899wbOPPPMZI6FOCl9SSkf9yow3AtwyzMt1z5HuZISnZTK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\nR35v+X1eAYc2VT8WnpPLseT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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "def montage(vol3d):\n", " \"\"\"Returns a 2d image montage as an array, given a 3d volume array\n", "\n", " The code here is a little fancy, no need to worry about the details for now. Just pretend it's FSL\n", " \"\"\"\n", " n_slices = vol3d.shape[-1]\n", " n_cols = int(np.ceil(np.sqrt(n_slices)))\n", " # Split and distrubute the 3D array over the last (slice) axis\n", " rows = np.array_split(vol3d, n_cols, axis=2)\n", " # ensure the last row is the same size as the others\n", " rows[-1] = np.dstack((rows[-1], np.zeros(rows[-1].shape[0:2] + (rows[0].shape[2]-rows[-1].shape[2],))))\n", " im = np.vstack([np.squeeze(np.hstack(np.dsplit(row, n_cols))) for row in rows])\n", " return(im)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(montage(worst_vol), interpolation='nearest')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 22, "text": [ "" ] }, { "output_type": "display_data", "png": 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y5YpJPIHU77//vvx+v0HwZrOp6XSqZrOp4XBoTDRTeDAUt5UXIyKnZ8PSqEOe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\n+Xze2m/jNhOOSKoYlwWfgMMoyWoewA2kciamUCiovb3dnk2S5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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "in_bad_order = np.argsort(rms)\n", "in_bad_order" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 23, "text": [ "array([ 4, 9, 8, 11, 10, 23, 5, 24, 107, 25, 12, 137, 108,\n", " 7, 109, 27, 26, 36, 138, 95, 158, 152, 38, 37, 146, 136,\n", " 150, 147, 72, 90, 40, 52, 41, 106, 97, 6, 141, 22, 96,\n", " 28, 13, 151, 139, 149, 35, 122, 140, 94, 73, 87, 123, 71,\n", " 44, 153, 148, 117, 67, 145, 63, 155, 21, 115, 84, 92, 34,\n", " 131, 101, 47, 58, 102, 119, 48, 114, 45, 129, 86, 79, 39,\n", " 126, 62, 154, 100, 130, 68, 29, 143, 70, 93, 116, 142, 46,\n", " 56, 89, 30, 31, 118, 128, 91, 57, 144, 69, 15, 59, 42,\n", " 43, 124, 127, 125, 120, 83, 157, 121, 78, 103, 3, 88, 135,\n", " 16, 113, 14, 85, 82, 98, 66, 17, 99, 110, 133, 0, 111,\n", " 60, 156, 61, 53, 18, 80, 1, 81, 75, 74, 33, 77, 55,\n", " 32, 20, 51, 134, 19, 112, 76, 159, 132, 162, 49, 105, 2,\n", " 54, 161, 104, 160, 50, 163, 64, 65])" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Maybe we want to remove the worst volume. How would I do that? How would I check I had done the right thing?" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Your second task, should you choose to accept it" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Copy the original data, ``img_arr``\n", "* Take the mean of volumes 64, 66\n", "* Replace volume 65 with the mean of 64, 66\n", "* Check the difference time course" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def replace_vol(img_arr, vol_no):\n", " \"\"\" Replace volume number `vol_no` with mean of vols either side \"\"\"\n", " # Copy the original data, ``img_arr``\n", " # Take the mean of volumes 64, 66\n", " # Replace volume 65 with the mean of 64, 66\n", " \n", "fixed = replace_vol(data, 65) # Call our new function\n", "assert not np.all(fixed == data) # We changed the array\n", "left = data[:, :, :, 64]\n", "right = data[:, :, :, 66]\n", "mean_either_side = (left + right) / 2.0\n", "# assert np.all(fixed[:, :, :, 65] == mean_either_side) # This should work" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 24 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Are we doing a better job?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import awesome # Yes, I wrote it\n", "fixed = awesome.replace_vol(data, 65)\n", "new_rms = awesome.difference_rms(fixed)\n", "plt.plot(rms)\n", "plt.plot(new_rms)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 25, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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XIEpm/QUa4hOMarU51K+UlsKXRVgeS42LRZ3AeTP19oxfSpRFiPbvgtjwQMvo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\nto1ePE1zB0op1O0XpE/CzpMNc3WNzgA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"text": [ "" ] } ], "prompt_number": 25 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Making better tests" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What happens if I try and fix volume 0? Volume 164? What should happen?" ] } ], "metadata": {} } ] }