demo/group_lasso.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Group lasso"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "need to instal `pip install group-lasso` (https://pypi.org/project/group-lasso/) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import glm_utils\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import sklearn.linear_model\n",
    "import sklearn.model_selection\n",
    "from sklearn.metrics import r2_score\n",
    "from group_lasso import GroupLasso\n",
    "\n",
    "from demo_utils import get_data\n",
    "plt.style.use('ncb.mplstyle')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Generate toy data \n",
    "The stimulus `x` (`[time, stimuli]`) corresponds to four stimuli - for instance the distance, angle, velocity, and acceleration of flies.\n",
    "\n",
    "The response `y` (`[time,]`) is produced by filtering each of the four stimuli in `x` with a filter (given by `filters`) and summing.\n",
    "\n",
    "The filters are defined with the righmost value (delay 0) being closest to the response and the leftmost being furthest into the past (delay -50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "x: (100000, 4), y: (100000,), filters (50, 4)\n"
    },
    {
     "output_type": "display_data",
     "data": {
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57.957653 \nL 546.996449 67.333699 \nL 547.757358 65.763082 \nL 548.137812 60.247619 \nL 548.518267 63.238378 \nL 548.898722 62.88759 \nL 549.659631 72.548522 \nL 550.040085 70.909419 \nL 550.42054 72.741788 \nL 551.561903 59.184761 \nL 551.942358 59.59328 \nL 552.322812 62.003451 \nL 552.703267 60.639132 \nL 553.083722 60.431881 \nL 553.464176 59.795682 \nL 553.844631 56.578461 \nL 554.225085 63.370032 \nL 554.985994 66.185095 \nL 555.366449 64.644305 \nL 555.746903 68.564974 \nL 556.127358 62.003094 \nL 556.507812 58.316017 \nL 556.888267 57.891607 \nL 557.268722 51.716073 \nL 557.649176 54.914793 \nL 558.029631 48.394492 \nL 558.410085 47.30519 \nL 558.79054 49.557092 \nL 559.170994 49.045533 \nL 559.931903 57.704937 \nL 560.312358 57.785579 \nL 560.692812 62.0988 \nL 561.073267 70.476516 \nL 561.453722 71.658102 \nL 561.834176 76.086197 \nL 562.214631 73.719206 \nL 562.595085 76.554239 \nL 562.97554 77.971783 \nL 563.355994 71.475655 \nL 563.736449 71.373713 \nL 564.116903 77.108956 \nL 564.877812 68.189472 \nL 565.258267 64.237406 \nL 565.638722 58.744354 \nL 566.399631 62.633494 \nL 566.780085 62.583713 \nL 567.16054 69.1918 \nL 567.540994 67.852234 \nL 567.921449 60.158418 \nL 568.301903 55.506738 \nL 568.682358 58.437574 \nL 569.062812 60.400386 \nL 569.443267 66.66568 \nL 570.204176 57.716882 \nL 570.584631 60.557908 \nL 570.965085 57.690374 \nL 571.34554 58.600236 \nL 571.725994 57.400705 \nL 572.106449 64.275246 \nL 572.486903 58.319788 \nL 572.867358 61.792481 \nL 573.247812 53.954479 \nL 573.628267 58.686458 \nL 574.008722 54.949208 \nL 574.389176 57.580503 \nL 574.769631 56.99034 \nL 575.150085 53.427327 \nL 575.53054 56.509909 \nL 575.910994 56.527563 \nL 576.291449 57.355583 \nL 576.671903 55.096029 \nL 577.052358 62.013544 \nL 577.432812 57.486676 \nL 577.813267 60.765049 \nL 578.193722 62.218472 \nL 578.574176 56.872007 \nL 578.954631 63.44612 \nL 579.335085 67.077727 \nL 579.71554 61.385733 \nL 580.095994 58.467228 \nL 580.476449 56.949156 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597.596903 64.807461 \nL 597.977358 60.598115 \nL 598.357812 61.152641 \nL 598.738267 58.327492 \nL 599.118722 61.266112 \nL 599.499176 54.225592 \nL 599.879631 54.47865 \nL 600.260085 57.593976 \nL 600.64054 59.292477 \nL 601.020994 52.337397 \nL 601.401449 50.697732 \nL 601.781903 50.754832 \nL 602.162358 49.758313 \nL 602.542812 52.382452 \nL 602.923267 49.468845 \nL 603.303722 58.287918 \nL 603.684176 57.364844 \nL 604.064631 51.132718 \nL 604.445085 50.755661 \nL 604.82554 55.592938 \nL 605.205994 56.488718 \nL 605.586449 57.799155 \nL 605.966903 56.05755 \nL 606.347358 60.270816 \nL 606.727812 59.092022 \nL 607.108267 58.76275 \nL 607.869176 69.833477 \nL 608.249631 66.445126 \nL 608.630085 69.121228 \nL 609.01054 67.009212 \nL 609.390994 67.294003 \nL 610.151903 62.477971 \nL 610.532358 67.389409 \nL 610.912812 62.534267 \nL 611.293267 60.814482 \nL 611.673722 59.857695 \nL 612.054176 59.625003 \nL 612.434631 58.915669 \nL 612.815085 64.758172 \nL 613.575994 70.385777 \nL 613.956449 64.885517 \nL 614.336903 66.685597 \nL 614.717358 71.674294 \nL 615.097812 70.997046 \nL 615.478267 74.889964 \nL 615.858722 73.835404 \nL 616.239176 67.109639 \nL 616.619631 66.83004 \nL 617.000085 68.840588 \nL 617.38054 66.761956 \nL 617.760994 71.965027 \nL 618.141449 72.697065 \nL 618.521903 66.128417 \nL 618.902358 63.163514 \nL 619.282812 57.25557 \nL 619.663267 58.355193 \nL 620.043722 64.641049 \nL 620.804631 52.095154 \nL 621.185085 59.924783 \nL 621.56554 61.901406 \nL 621.945994 52.876836 \nL 622.326449 56.13546 \nL 622.706903 60.472478 \nL 623.087358 59.800348 \nL 623.467812 63.765424 \nL 623.848267 57.86454 \nL 624.609176 69.258212 \nL 625.370085 55.440417 \nL 625.75054 56.643331 \nL 626.130994 55.267269 \nL 626.511449 52.303963 \nL 626.891903 58.034737 \nL 627.272358 60.413363 \nL 627.652812 68.270215 \nL 628.033267 66.182758 \nL 628.413722 66.151327 \nL 628.794176 70.343596 \nL 629.174631 72.98419 \nL 629.555085 78.079353 \nL 629.93554 80.758082 \nL 630.315994 86.716725 \nL 631.076903 78.478679 \nL 631.457358 69.440779 \nL 631.837812 67.8048 \nL 632.218267 63.145781 \nL 633.359631 53.715908 \nL 633.740085 49.830696 \nL 634.12054 43.411685 \nL 634.500994 42.041657 \nL 634.881449 44.785182 \nL 635.261903 45.743855 \nL 635.642358 41.322078 \nL 636.022812 46.651685 \nL 636.403267 46.917107 \nL 636.783722 55.265282 \nL 637.164176 52.984895 \nL 637.544631 59.027269 \nL 638.30554 65.608385 \nL 638.685994 59.9573 \nL 639.066449 66.622372 \nL 639.446903 66.367387 \nL 639.827358 61.727842 \nL 640.207812 65.513087 \nL 640.588267 61.164284 \nL 640.968722 65.458426 \nL 641.349176 60.286125 \nL 641.729631 62.433821 \nL 642.110085 61.804093 \nL 642.49054 68.097368 \nL 642.870994 69.944835 \nL 643.251449 76.659031 \nL 643.631903 76.622585 \nL 644.012358 77.922683 \nL 644.392812 73.470387 \nL 644.773267 74.244164 \nL 645.153722 70.110392 \nL 645.534176 70.594354 \nL 645.914631 71.292604 \nL 646.295085 68.01375 \nL 647.055994 50.91083 \nL 647.436449 51.210502 \nL 647.816903 43.125328 \nL 648.197358 45.697597 \nL 648.577812 42.299817 \nL 648.958267 48.710709 \nL 649.719176 49.171642 \nL 650.099631 49.484674 \nL 650.86054 58.301002 \nL 651.240994 56.702692 \nL 651.621449 65.311365 \nL 652.001903 67.847392 \nL 652.382358 68.823014 \nL 652.762812 63.723707 \nL 653.143267 57.02393 \nL 653.523722 58.327065 \nL 653.904176 61.567905 \nL 654.284631 60.394707 \nL 654.665085 58.091727 \nL 655.04554 60.474908 \nL 655.425994 61.05075 \nL 656.567358 70.160962 \nL 656.947812 76.723083 \nL 657.328267 78.559106 \nL 657.708722 75.071555 \nL 658.469631 71.084602 \nL 658.850085 73.169561 \nL 659.23054 64.115547 \nL 659.610994 64.938517 \nL 659.991449 64.810109 \nL 660.371903 68.356796 \nL 660.752358 68.861827 \nL 661.132812 62.651937 \nL 661.513267 63.829155 \nL 662.274176 72.261021 \nL 662.654631 71.679544 \nL 663.035085 77.462074 \nL 663.795994 72.338322 \nL 664.556903 63.655951 \nL 664.937358 67.672202 \nL 665.698267 65.077956 \nL 666.078722 66.671003 \nL 666.459176 62.133888 \nL 666.839631 59.769945 \nL 667.220085 55.578264 \nL 667.980994 58.167671 \nL 668.361449 63.130918 \nL 668.741903 56.916887 \nL 669.122358 53.784784 \nL 669.502812 55.437394 \nL 669.883267 53.975323 \nL 670.263722 59.367266 \nL 671.024631 53.376642 \nL 671.405085 54.004585 \nL 671.78554 53.050252 \nL 672.165994 52.899002 \nL 672.546449 58.536788 \nL 672.926903 61.595981 \nL 673.307358 58.263241 \nL 673.687812 53.501972 \nL 674.068267 56.500846 \nL 674.448722 57.282695 \nL 675.590085 65.672228 \nL 675.97054 59.846928 \nL 676.350994 60.120758 \nL 676.731449 63.481688 \nL 677.111903 63.952267 \nL 677.492358 73.420059 \nL 677.872812 72.417798 \nL 678.253267 75.56565 \nL 678.633722 74.480274 \nL 679.394631 67.789734 \nL 679.775085 71.294266 \nL 680.15554 69.496259 \nL 680.535994 68.832435 \nL 680.916449 74.0499 \nL 681.677358 66.887885 \nL 682.057812 63.327193 \nL 682.438267 70.591289 \nL 682.818722 70.507316 \nL 683.199176 70.741805 \nL 683.579631 73.882555 \nL 683.960085 75.408456 \nL 684.34054 70.736794 \nL 684.720994 70.197725 \nL 685.101449 68.311071 \nL 685.481903 69.328673 \nL 685.862358 76.380012 \nL 686.242812 68.913643 \nL 686.623267 70.026836 \nL 687.003722 70.164994 \nL 687.384176 68.225012 \nL 687.764631 67.135953 \nL 688.145085 72.412737 \nL 688.52554 64.416222 \nL 688.905994 62.768472 \nL 689.286449 61.876205 \nL 689.666903 63.82949 \nL 690.047358 67.0337 \nL 690.427812 65.818691 \nL 690.808267 65.639412 \nL 691.188722 67.626498 \nL 691.569176 71.232626 \nL 691.949631 67.436994 \nL 692.330085 67.838786 \nL 692.71054 72.262335 \nL 693.090994 74.194121 \nL 693.471449 70.997442 \nL 693.851903 69.621077 \nL 694.232358 73.192929 \nL 694.612812 74.374488 \nL 694.993267 67.615438 \nL 695.373722 65.134741 \nL 695.754176 69.539136 \nL 696.134631 78.731992 \nL 696.515085 71.608307 \nL 697.275994 74.96051 \nL 697.656449 79.398849 \nL 698.036903 72.466806 \nL 698.417358 71.999026 \nL 698.797812 77.261627 \nL 699.178267 76.972284 \nL 699.558722 75.210278 \nL 699.939176 65.671517 \nL 700.319631 72.743348 \nL 700.700085 66.344935 \nL 701.08054 61.998151 \nL 701.460994 59.992528 \nL 701.841449 67.952084 \nL 702.982812 66.513455 \nL 703.363267 66.608544 \nL 703.743722 71.819576 \nL 704.124176 72.433377 \nL 705.26554 81.095808 \nL 705.645994 71.256221 \nL 706.026449 72.921864 \nL 706.406903 68.784489 \nL 706.787358 68.582474 \nL 707.167812 69.029076 \nL 707.548267 66.97135 \nL 707.928722 60.599763 \nL 708.689631 64.027931 \nL 709.070085 62.366807 \nL 709.45054 66.878332 \nL 709.830994 64.919096 \nL 710.211449 65.301131 \nL 710.591903 68.894954 \nL 710.972358 61.981621 \nL 711.352812 59.464628 \nL 711.733267 59.736908 \nL 712.113722 54.292114 \nL 712.494176 45.313662 \nL 712.874631 38.993811 \nL 713.255085 40.305223 \nL 713.63554 46.423456 \nL 714.015994 46.060391 \nL 714.396449 37.791123 \nL 715.537812 50.944245 \nL 715.918267 51.737577 \nL 716.679176 62.619367 \nL 717.059631 62.381399 \nL 717.440085 55.655337 \nL 717.82054 61.629669 \nL 718.200994 65.791268 \nL 718.581449 64.639984 \nL 718.961903 61.661118 \nL 719.342358 60.64209 \nL 719.722812 60.349968 \nL 720.103267 55.848369 \nL 721.244631 69.035496 \nL 721.625085 62.623423 \nL 722.00554 58.871007 \nL 722.385994 64.819037 \nL 722.766449 65.780811 \nL 723.146903 64.270847 \nL 723.527358 67.560076 \nL 723.907812 68.630216 \nL 724.668722 53.180967 \nL 725.049176 52.814426 \nL 725.429631 57.094257 \nL 725.810085 58.047445 \nL 726.19054 51.994583 \nL 726.570994 57.974722 \nL 726.951449 59.85858 \nL 727.712358 69.20565 \nL 728.092812 70.013761 \nL 728.473267 76.922335 \nL 728.853722 78.428079 \nL 729.234176 77.656051 \nL 729.995085 84.108882 \nL 730.37554 80.363886 \nL 730.755994 81.081446 \nL 731.136449 72.185388 \nL 731.516903 68.192107 \nL 731.897358 67.613741 \nL 732.277812 61.147613 \nL 732.658267 52.664274 \nL 733.038722 50.088969 \nL 733.419176 46.188494 \nL 733.799631 43.484696 \nL 734.180085 42.087644 \nL 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626.891903 54.097404 \nL 627.272358 54.27195 \nL 627.652812 52.144455 \nL 628.033267 53.05896 \nL 628.413722 53.269302 \nL 628.794176 53.042149 \nL 629.174631 47.646642 \nL 629.555085 45.604334 \nL 629.93554 44.313368 \nL 630.315994 45.993946 \nL 630.696449 43.106028 \nL 631.457358 46.375414 \nL 631.837812 50.103948 \nL 632.218267 48.434945 \nL 632.598722 42.022417 \nL 633.359631 59.58825 \nL 633.740085 62.683109 \nL 634.12054 64.77223 \nL 634.500994 72.804136 \nL 634.881449 77.615073 \nL 635.261903 79.050144 \nL 635.642358 72.281471 \nL 636.022812 72.060107 \nL 636.403267 72.79966 \nL 636.783722 68.335827 \nL 637.164176 59.900523 \nL 637.544631 57.577143 \nL 637.925085 58.094949 \nL 638.30554 50.213857 \nL 638.685994 47.676755 \nL 639.066449 47.479691 \nL 639.446903 54.409028 \nL 639.827358 63.386593 \nL 640.207812 67.142835 \nL 640.588267 63.505028 \nL 640.968722 71.422672 \nL 641.349176 73.824536 \nL 641.729631 73.082825 \nL 642.110085 80.048203 \nL 642.49054 82.041797 \nL 642.870994 87.360759 \nL 643.251449 85.244445 \nL 643.631903 80.814457 \nL 644.012358 84.502652 \nL 644.392812 89.433766 \nL 645.153722 85.241512 \nL 645.534176 85.784728 \nL 645.914631 82.461979 \nL 646.295085 81.106207 \nL 646.67554 80.182489 \nL 647.055994 76.074436 \nL 647.436449 74.355839 \nL 647.816903 74.026644 \nL 648.577812 80.538793 \nL 648.958267 74.148774 \nL 649.338722 74.354555 \nL 649.719176 78.208958 \nL 650.099631 78.376145 \nL 650.480085 73.603187 \nL 650.86054 72.699013 \nL 651.240994 74.453633 \nL 651.621449 75.05783 \nL 652.001903 70.651522 \nL 652.382358 64.946949 \nL 652.762812 71.38089 \nL 653.904176 58.029316 \nL 654.665085 68.671691 \nL 655.04554 67.101842 \nL 655.425994 61.986515 \nL 655.806449 61.601031 \nL 656.186903 61.446913 \nL 656.567358 58.343975 \nL 656.947812 61.572237 \nL 657.328267 66.138421 \nL 657.708722 66.564599 \nL 658.089176 66.368921 \nL 658.469631 61.274126 \nL 658.850085 58.441944 \nL 659.23054 56.711156 \nL 659.610994 59.697313 \nL 659.991449 57.525641 \nL 660.371903 57.47597 \nL 660.752358 52.389932 \nL 661.132812 44.586309 \nL 661.513267 48.382981 \nL 661.893722 42.934973 \nL 662.274176 45.180252 \nL 662.654631 45.790836 \nL 663.035085 52.750232 \nL 663.41554 54.292171 \nL 663.795994 53.791597 \nL 664.176449 58.240225 \nL 664.556903 61.05265 \nL 664.937358 65.115281 \nL 665.317812 61.016579 \nL 665.698267 65.930488 \nL 666.078722 67.622383 \nL 666.459176 72.779665 \nL 666.839631 70.267061 \nL 667.220085 66.781044 \nL 667.60054 74.852067 \nL 667.980994 70.149703 \nL 668.361449 71.333462 \nL 668.741903 69.152497 \nL 669.122358 71.714917 \nL 669.502812 72.867683 \nL 670.263722 63.267449 \nL 671.024631 62.149837 \nL 671.405085 57.065483 \nL 672.165994 53.510212 \nL 672.546449 55.828491 \nL 673.307358 47.581634 \nL 673.687812 53.861219 \nL 674.068267 54.864764 \nL 674.448722 54.154004 \nL 675.209631 46.753658 \nL 675.590085 50.033546 \nL 675.97054 50.568796 \nL 676.350994 47.636219 \nL 676.731449 51.919969 \nL 677.111903 47.061079 \nL 677.872812 49.862895 \nL 678.253267 45.939259 \nL 678.633722 52.583532 \nL 679.014176 61.598698 \nL 679.394631 60.339227 \nL 679.775085 63.947943 \nL 680.15554 71.843988 \nL 680.535994 75.707216 \nL 680.916449 82.00931 \nL 681.296903 81.263799 \nL 681.677358 81.723168 \nL 682.057812 85.295415 \nL 682.818722 70.508271 \nL 683.199176 66.791942 \nL 683.579631 66.871114 \nL 683.960085 60.549425 \nL 684.720994 56.437834 \nL 685.101449 58.993425 \nL 685.481903 57.169657 \nL 685.862358 60.927482 \nL 686.242812 67.832077 \nL 686.623267 66.797146 \nL 687.003722 70.876605 \nL 687.384176 66.095494 \nL 687.764631 65.910757 \nL 688.52554 56.648962 \nL 688.905994 56.675824 \nL 689.286449 57.349075 \nL 690.047358 54.513613 \nL 690.427812 61.965545 \nL 690.808267 58.727318 \nL 691.188722 59.617819 \nL 691.569176 63.174602 \nL 691.949631 70.103651 \nL 692.330085 73.13401 \nL 692.71054 67.211437 \nL 693.090994 70.230822 \nL 693.471449 69.245936 \nL 693.851903 66.124247 \nL 694.232358 60.252794 \nL 694.612812 63.583819 \nL 694.993267 64.543046 \nL 695.373722 62.658808 \nL 695.754176 57.89736 \nL 696.134631 56.169345 \nL 696.515085 55.613343 \nL 696.89554 58.881335 \nL 697.275994 53.900067 \nL 697.656449 52.285383 \nL 698.036903 52.92854 \nL 698.797812 59.434576 \nL 699.178267 57.091886 \nL 699.558722 58.028458 \nL 699.939176 65.099926 \nL 700.319631 67.91558 \nL 700.700085 60.449403 \nL 701.08054 62.953185 \nL 701.841449 73.496783 \nL 702.221903 72.473975 \nL 702.602358 72.515214 \nL 702.982812 76.8379 \nL 703.363267 73.867304 \nL 703.743722 67.49337 \nL 704.124176 64.000095 \nL 704.504631 63.739789 \nL 704.885085 64.410471 \nL 705.26554 66.983851 \nL 705.645994 66.320898 \nL 706.026449 61.949504 \nL 706.406903 61.611057 \nL 706.787358 59.196181 \nL 707.167812 61.439882 \nL 707.928722 69.57887 \nL 708.689631 76.883147 \nL 709.45054 68.916603 \nL 709.830994 74.26084 \nL 710.211449 69.023456 \nL 710.591903 69.886327 \nL 710.972358 72.978136 \nL 711.352812 74.213113 \nL 711.733267 77.840578 \nL 712.494176 73.534047 \nL 712.874631 78.993472 \nL 713.255085 80.832333 \nL 714.015994 77.556937 \nL 714.396449 81.31776 \nL 715.157358 67.84715 \nL 715.537812 65.429865 \nL 715.918267 70.159923 \nL 716.298722 65.547245 \nL 716.679176 63.490908 \nL 717.059631 62.892501 \nL 717.440085 61.865404 \nL 717.82054 61.958516 \nL 718.200994 55.963306 \nL 718.961903 71.988439 \nL 719.342358 70.97026 \nL 719.722812 65.187827 \nL 720.103267 64.887489 \nL 720.483722 65.978178 \nL 721.244631 63.120071 \nL 721.625085 72.448576 \nL 722.00554 78.011908 \nL 722.385994 75.575436 \nL 722.766449 76.522894 \nL 723.527358 80.998748 \nL 724.288267 80.21289 \nL 724.668722 75.241124 \nL 725.049176 78.955604 \nL 725.429631 70.117252 \nL 725.810085 64.449949 \nL 726.19054 64.727175 \nL 726.570994 62.99092 \nL 726.951449 55.810744 \nL 727.331903 54.646946 \nL 727.712358 60.872706 \nL 728.092812 61.517512 \nL 728.473267 65.163438 \nL 728.853722 62.441347 \nL 729.234176 65.919758 \nL 729.995085 68.073452 \nL 730.37554 63.480903 \nL 730.755994 66.924439 \nL 731.136449 68.318474 \nL 731.897358 55.252514 \nL 732.277812 51.583241 \nL 732.658267 49.46049 \nL 733.038722 49.268915 \nL 733.419176 48.256046 \nL 733.799631 40.616571 \nL 734.180085 37.505807 \nL 734.56054 37.68465 \nL 734.940994 38.126679 \nL 735.321449 44.683634 \nL 735.701903 45.534605 \nL 736.082358 54.106034 \nL 736.462812 53.476776 \nL 736.843267 58.762874 \nL 737.223722 60.139464 \nL 737.604176 59.815031 \nL 737.984631 64.662467 \nL 738.365085 64.169901 \nL 738.74554 59.779595 \nL 739.125994 59.294606 \nL 739.506449 63.095326 \nL 739.886903 60.514433 \nL 740.267358 66.42247 \nL 740.647812 63.076098 \nL 741.028267 61.638211 \nL 741.408722 64.280276 \nL 741.789176 64.272865 \nL 742.169631 65.507426 \nL 742.550085 64.729789 \nL 742.93054 59.045934 \nL 743.310994 55.921455 \nL 743.691449 54.211048 \nL 744.071903 45.95256 \nL 744.452358 47.193052 \nL 744.832812 47.128093 \nL 745.974176 38.746138 \nL 746.354631 43.095448 \nL 746.735085 44.461544 \nL 747.11554 43.35454 \nL 747.495994 40.333566 \nL 747.876449 40.565901 \nL 748.256903 38.671432 \nL 748.637358 43.604136 \nL 749.398267 58.491511 \nL 749.778722 60.244011 \nL 750.159176 58.571627 \nL 750.539631 57.401329 \nL 750.920085 62.541397 \nL 751.30054 62.036863 \nL 751.680994 64.676666 \nL 752.061449 68.260927 \nL 752.441903 66.113217 \nL 752.822358 61.619757 \nL 753.202812 59.483654 \nL 753.583267 58.445995 \nL 753.963722 56.616822 \nL 754.344176 63.344233 \nL 754.724631 58.213313 \nL 755.48554 71.08001 \nL 755.865994 67.811791 \nL 756.626903 75.202858 \nL 757.387812 70.529823 \nL 757.768267 69.623447 \nL 758.148722 70.874703 \nL 758.529176 68.899388 \nL 759.290085 57.441408 \nL 759.67054 58.507706 \nL 760.050994 53.529764 \nL 760.431449 51.435975 \nL 760.811903 56.398555 \nL 761.192358 57.677391 \nL 761.572812 61.962817 \nL 761.953267 58.003586 \nL 762.333722 66.323287 \nL 763.094631 74.216001 \nL 763.475085 75.355388 \nL 763.85554 73.427863 \nL 764.235994 75.143847 \nL 764.616449 71.810305 \nL 764.996903 74.563158 \nL 765.377358 75.855118 \nL 765.757812 75.750311 \nL 766.138267 72.826952 \nL 766.518722 72.099836 \nL 766.899176 72.920375 \nL 767.660085 69.042301 \nL 768.04054 68.111094 \nL 768.420994 69.992904 \nL 769.181903 62.904009 \nL 769.562358 62.073797 \nL 769.942812 60.330447 \nL 770.323267 61.395717 \nL 770.703722 53.788164 \nL 771.084176 54.721998 \nL 771.464631 60.930071 \nL 771.845085 63.904568 \nL 772.22554 60.266362 \nL 772.605994 58.583312 \nL 772.986449 64.937961 \nL 773.366903 68.179967 \nL 773.747358 66.318545 \nL 774.127812 61.00496 \nL 774.508267 65.688434 \nL 774.888722 62.468833 \nL 775.269176 63.609333 \nL 775.649631 55.098373 \nL 776.030085 57.884998 \nL 776.41054 58.360017 \nL 776.790994 57.18314 \nL 777.171449 51.487185 \nL 777.932358 64.883513 \nL 778.312812 63.436598 \nL 778.693267 66.641403 \nL 779.073722 60.458976 \nL 779.454176 69.798989 \nL 779.834631 68.023577 \nL 780.215085 67.398828 \nL 780.59554 61.034491 \nL 780.975994 66.056607 \nL 781.356449 65.693426 \nL 781.736903 65.824376 \nL 782.117358 63.491351 \nL 782.497812 62.68194 \nL 782.878267 68.53928 \nL 783.258722 67.342274 \nL 783.639176 69.754566 \nL 784.400085 82.908083 \nL 784.78054 84.292301 \nL 785.160994 82.299257 \nL 785.541449 81.158745 \nL 785.921903 88.019353 \nL 786.302358 83.647061 \nL 786.682812 77.819884 \nL 787.063267 73.945105 \nL 787.443722 68.210822 \nL 787.824176 65.510956 \nL 788.204631 63.710763 \nL 788.585085 56.089974 \nL 788.96554 54.79414 \nL 789.726449 42.777637 \nL 790.106903 43.017094 \nL 790.487358 48.758033 \nL 790.867812 48.896628 \nL 791.248267 50.484022 \nL 791.628722 46.895337 \nL 792.009176 46.965296 \nL 792.389631 53.671818 \nL 792.770085 55.786269 \nL 793.15054 59.827727 \nL 793.530994 57.403648 \nL 793.911449 57.256783 \nL 794.291903 50.364533 \nL 794.672358 47.648551 \nL 795.052812 48.145581 \nL 795.433267 56.053329 \nL 795.813722 55.064186 \nL 796.194176 57.147759 \nL 796.574631 54.731096 \nL 796.955085 53.225365 \nL 797.33554 58.749406 \nL 798.096449 73.231194 \nL 798.857358 70.595969 \nL 799.237812 62.475271 \nL 799.618267 59.407071 \nL 800.379176 58.419241 \nL 800.759631 59.062586 \nL 801.140085 62.142901 \nL 801.52054 56.440482 \nL 801.900994 59.290409 \nL 802.281449 65.226859 \nL 802.661903 66.431427 \nL 803.042358 68.917942 \nL 803.422812 73.661319 \nL 803.803267 70.618503 \nL 804.183722 73.043054 \nL 804.564176 71.932536 \nL 804.944631 69.096101 \nL 805.325085 68.540427 \nL 805.70554 63.707668 \nL 806.085994 61.600369 \nL 806.466449 60.443526 \nL 806.846903 63.29227 \nL 807.227358 61.904797 \nL 807.607812 64.783348 \nL 807.988267 64.667287 \nL 808.368722 69.341299 \nL 808.749176 70.109576 \nL 809.510085 76.650168 \nL 809.89054 76.493214 \nL 810.270994 76.906418 \nL 810.651449 72.445231 \nL 811.031903 73.562735 \nL 811.412358 65.506859 \nL 811.792812 67.714654 \nL 812.173267 61.35325 \nL 812.553722 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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "x, y, filters = get_data(npoints = 100_000)\n",
    "\n",
    "nb_points, nb_stim = x.shape\n",
    "filter_duration = filters.shape[0]\n",
    "T = np.arange(-filter_duration, 0)\n",
    "\n",
    "print(f\"x: {x.shape}, y: {y.shape}, filters {filters.shape}\")\n",
    "plt.figure(figsize=[15,4])\n",
    "plt.subplot(121)\n",
    "plt.plot(T, filters)\n",
    "plt.title('Filters')\n",
    "plt.xlabel('Delay')\n",
    "plt.legend([f'Filter for stimulus {f}' for f in range(1,5)])\n",
    "\n",
    "plt.subplot(222)\n",
    "plt.plot(x[:1000])\n",
    "plt.title('Stimuli (x)')\n",
    "plt.xticks(())\n",
    "\n",
    "plt.subplot(224)\n",
    "plt.plot(y[:1000], c='k')\n",
    "plt.title('Response (y)')\n",
    "plt.xlabel('Time')\n",
    "plt.subplots_adjust(hspace=0.4)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "(99950, 200)\n"
    }
   ],
   "source": [
    "nb_delays = 50\n",
    "X, y_m = glm_utils.preprocessing.time_delay_embedding(x, y, window_size=nb_delays)\n",
    "print(X.shape)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "Before basis projection: X (99950, 200),  y (99950,).\nAfter basis projection: X (99950, 48),  y (99950,).\n"
    }
   ],
   "source": [
    "# construct the basis functions\n",
    "B = glm_utils.bases.raised_cosine(0, 12, [0, 36], 16, nb_delays)\n",
    "B_multi = glm_utils.bases.multifeature_basis(B, nb_features=nb_stim)\n",
    "# intialize basis_projection object\n",
    "basis_projection = glm_utils.preprocessing.BasisProjection(B_multi)\n",
    "_, nb_bases = B.shape\n",
    "T = np.arange(-nb_delays, 0)\n",
    "\n",
    "print(f\"Before basis projection: X {X.shape},  y {y_m.shape}.\")\n",
    "X_b = basis_projection.transform(X)\n",
    "print(f\"After basis projection: X {X_b.shape},  y {y_m.shape}.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "Shape of training set: (79960, 48), test set: (19990, 48)\n"
    }
   ],
   "source": [
    "X_train, X_test, y_train, y_test = sklearn.model_selection.train_test_split(X_b, y_m, test_size=0.2)\n",
    "print(f\"Shape of training set: {X_train.shape}, test set: {X_test.shape}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Standard Lasso"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "Test score (r2): 1.00.\n"
    },
    {
     "output_type": "display_data",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "lr = sklearn.linear_model.LassoCV(max_iter=10_000)\n",
    "lr.fit(X_train, y_train)\n",
    "print(f\"Test score (r2): {lr.score(X_test, y_test):1.2f}.\")\n",
    "\n",
    "filter_shape = basis_projection.inverse_transform(lr.coef_)\n",
    "\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(filter_shape.T, linewidth=4, alpha=0.75, label='Estimated filter')\n",
    "plt.gca().set_prop_cycle(None)\n",
    "plt.plot(filters.T.ravel(), '--k', linewidth=2, label='True filter')\n",
    "plt.axhline(c='k')\n",
    "plt.vlines(np.arange(50, 4*50, 50), -0.3, 0.8)\n",
    "plt.xlabel('Delay')\n",
    "plt.yticks(np.arange(-0.4, 1.0, 0.4))\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# make groups = stimuli\n",
    "groups_time = np.floor(np.arange(len(filter_shape.T))/ nb_delays)\n",
    "groups_bases = np.floor(np.arange(nb_stim * nb_bases)/ nb_delays)\n",
    "\n",
    "plt.subplot(211)\n",
    "plt.plot(filter_shape.T)\n",
    "plt.plot(groups_time, '.')\n",
    "plt.vlines(np.arange(50, 4*50, 50), -1, 3)\n",
    "plt.show()\n",
    "\n",
    "\n",
    "plt.subplot(211)\n",
    "plt.plot(B_multi.T)\n",
    "plt.plot(groups_bases, '.')\n",
    "plt.vlines(np.arange(nb_bases, 4*nb_bases, nb_bases), -1, 3)\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "GroupLasso.LOG_LOSSES = True\n",
    "num_regs = 20\n",
    "group_regularisations = 1/np.logspace(-1.5, 1.5, num_regs)\n",
    "weights = np.empty((num_regs, X_train.shape[1],))\n",
    "coefs = np.empty((num_regs, X_train.shape[1],))\n",
    "R2 = np.empty((num_regs,))\n",
    "\n",
    "gl = GroupLasso(\n",
    "    groups=groups_bases,\n",
    "    group_reg=0,\n",
    "    l1_reg=2,\n",
    "    frobenius_lipschitz=True,\n",
    "    scale_reg=\"inverse_group_size\",\n",
    "    subsampling_scheme=1,\n",
    "    supress_warning=True,\n",
    "    n_iter=1000,\n",
    "    tol=1e-3,\n",
    "    warm_start=True,\n",
    ")\n",
    "\n",
    "for i, group_reg in enumerate(group_regularisations[::-1]):\n",
    "    gl.group_reg = group_reg\n",
    "    gl.fit(X_train, y_train[:, np.newaxis])\n",
    "    weights[-(i + 1)] = gl.sparsity_mask_.squeeze()\n",
    "    coefs[-(i + 1)] = gl.coef_.squeeze()\n",
    "    y_pred = gl.predict(X_test)\n",
    "    R2[-(i + 1)] = r2_score(y_test, y_pred)\n",
    "est_filters = basis_projection.inverse_transform(coefs)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(est_filters.T, linewidth=4, alpha=0.75, label='Estimated filter')\n",
    "plt.plot(filters.T.ravel(), '--k', linewidth=2, label='True filter')\n",
    "plt.axhline(c='k')\n",
    "plt.vlines(np.arange(50, 4*50, 50), -0.3, 0.7)\n",
    "plt.xlabel('Delay')\n",
    "plt.yticks(np.arange(-0.2, 0.8, 0.2))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plt.subplot(211)\n",
    "plt.plot(group_regularisations, R2, 'o-')\n",
    "plt.xscale('log')\n",
    "plt.ylabel('test $r^2$')\n",
    "plt.xscale('log')\n",
    "\n",
    "# Non-zero weights are grey, zero weights are black\n",
    "plt.subplot(212)\n",
    "plt.imshow(weights.T, cmap='Greys_r')\n",
    "plt.clim(-.1, 1)\n",
    "plt.xlabel('regularisation strength')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 6))\n",
    "\n",
    "plt.subplot(311)\n",
    "plt.plot(R2)\n",
    "plt.ylabel('test $r^2$')\n",
    "\n",
    "plt.subplot(312)\n",
    "plt.imshow(weights.T, cmap='Greys')\n",
    "plt.ylabel('sparsity mask')\n",
    "\n",
    "plt.subplot(313)\n",
    "plt.imshow(coefs.T, cmap='RdBu')\n",
    "plt.clim(-np.max(np.abs(coefs)), np.max(np.abs(coefs)))\n",
    "plt.ylabel('coefficients')\n",
    "plt.xlabel('1 / regularisation strength')\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "file_extension": ".py",
  "kernelspec": {
   "display_name": "Python 3.7.6 64-bit ('miniconda': virtualenv)",
   "language": "python",
   "name": "python37664bitminicondavirtualenv7fae029fd0bd4545b5a81627b1a0f8fe"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7-final"
  },
  "mimetype": "text/x-python",
  "name": "python",
  "npconvert_exporter": "python",
  "pygments_lexer": "ipython3",
  "version": 3
 },
 "nbformat": 4,
 "nbformat_minor": 4
}