Created
August 23, 2013 19:51
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| { | |
| "metadata": { | |
| "name": "2013_08_23_patsy_spline_prod_vs_scipy_bispl" | |
| }, | |
| "nbformat": 3, | |
| "nbformat_minor": 0, | |
| "worksheets": [ | |
| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "!date", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "stream": "stdout", | |
| "text": "Fri Aug 23 11:48:30 PDT 2013\r\n" | |
| } | |
| ], | |
| "prompt_number": 142 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": "I wrote a feature request yesterday to find out more about including bisplines in patsy. I got a nice response: https://github.com/pydata/patsy/issues/23#issuecomment-23161410\n\nIt observes that patsy will do something for `y ~ 1 + bs(x)*bs(y)`. Let's find out what." | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "import pymc as mc, pandas as pd", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 143 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "n = 1000\n\nx = rand(n)*100\ny = rand(n)*100\nz = exp(-(x-75)**2/50**2 -(y-25)**2/50**2 + (x-75)*(y-25)/125**2) + randn(n)*.01\ndata = pd.DataFrame(dict(x=x, y=y, z=z))\n\ndata['round_x'] = round_(data.x, -1)\n\nfor x_low, x_high in zip(range(0,100,10), range(10,101,10)):\n c = cm.spectral(x_low/100.)\n data_x = data[(data.x >= x_low) & (data.x < x_high)]\n plot(data_x.y, data_x.z, '.', color=c, label='[%d, %d]'%(x_low, x_high))\n", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "display_data", | |
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mdC5JagimuYfS4WPNWwi30P7p2jni/I2ID4oRZS23KN9TWalSMoYkaqLTpsHb\nsWPFSg01GBnxgoLp7oFEqvToDYdTV5gMhT5L0VnN0wqpuHVtAnckSRXBNPdQOnyslTvDhb66eovo\nd0DOO/DMt69TvqeBlSobbIqnX13mVwVVIslE0ibRbP5gM45eB3qtHvvNdr8/SO/jt+vMGXRFRWim\nTh31GL78+9V8viWPz7VOJafos2hV+7z2hWuYe6wZgJz7yrm2amfIsUj5JfPxSms/+vPJnMpuQq/V\n8/ycpxn8060JNXEBuFhWRl91tdJkJCBGP9g2GzYcONCjx4SJLXt+xZeaBwEYnF9OzqrQ3zWJJFHG\njUQTbRhcqMfwmttMIfd56UvTfLHy3zy8IR23JEkD8fSMjZTrEGspZXX2tUmYfFVQ33wJ8WC/8l2T\ncfKSVJGoiU6bRBNNGJxmuMFIsMfwz5lu89vn4k03sumB1ZQdquK5f1jCvhJ48j+K+bcvbE/1rUjS\nRDytDyNlH3vbBgZ7Cgi2zZt9bcbMYhaz8S5lAfZ7ZbfwRO52QGa/SjKXtEk0zkFnyAgK7yP5jMcf\n5/LW4I/hgftsemA1+/vaAdjwmTnk5L2ctt6ikvQQbdSNmpqVc7nu0DmaPpfPktfeY7qpKLEx0IEN\nmy92fhObEAh+3WAkt7MRsvV0f8GFW1M73G+4RvZ7lSSNRCWatBl472Vsp20htfhYKDtURXXLx5in\nFVKz8velnn4VEuy7VFp3B6WPHuH734WCgnnMnTQXvVZPxX/MRPNRY/CG3vGgCqkU88rpvV0nm3lL\nkk6iBj47iWOJCm9EDIDtQ1vcce/2ZeszerE0mnh7SWIE+y5p8qfynb9VZJ0cbY5v++n3TMw/3gZA\nm81GYWWC+RbZinSDyYxm5XMYZHy8JANJe6mCeHTVYAx+6xF+8ldP0Fv+1YihkaAYXEudnbJDVXQM\n9kfcP1G85Q6qWz7GdmJ/yq93NRLsu6QOu52aNdW3fcGMxUDiVSx9TJoJk0yQk5/4uSSSFJF2icar\nq/7rk/qEHpkvWCz01yvemcFqjeiRWers1LedA8A6ZwGVXyyP406i52qSkMbqaSWSRq/entfDqKzm\nRPjdnmtY0KyE5spwSUmqGHcSjTcx5cJHIwY6nkfmaAqHqQ2PTqM8rKQrwSnTJaRk4n1aAbCd2J/y\nydOL97sUDLU+DyMRMsnCma08Bb5lgv9cIdietDNLJMkj7QbeS6KNH2bZ7RE9MrXh2XDN9VjnLIjJ\n4CbimRrtVC1YAAAgAElEQVRzJoU0dONFn492nKnODo5nYT6RtZ5QdW/U/Mtdt3LfoVqeXVHMS8Ph\nkhJJpjEm5YIhdMefaAkXz+xFbXi2m9dR+cXymIxpqnT0cOcNt1aQqesI9mXrsc5ZkDIpKlKpimAk\nstYTTSev/8qt4sVVVl7KPegrvWHDhgULZZTRQQe93Ta6uyx0XylDeGRZA0n6GTMPPhmPzJE8zERl\nklR5puHOG0rusB3fT+X5D+l0DYzaliqivf9wTytJGUeUxlrt6T+98Gm2frQ1rtyIaJ4ujRh9FVG9\nOHD4KqbasPEzTytut/K6t8eGIS95EpFEEg0ZUYsmXlK9cJqqujXhzhtqcVZ9r9N0uXxc9nDCY4o0\nQWZK3Z5oE56SVXo6WJlpL+raNHbsfoXzyiijmmrMmKmhhtNXPs8i1znOZOVzXd57GLVF9Hbb8Hgc\noNFjMNhl3LwkLIkusqZNoonnMTsSqdZ+vZ5pso1buPOGkju89zpNN4l3Vm9KypgiSTDGnEkYdZMo\nf/2liLJQKuUjo86IceAhyo+8Evb8yQrBDSf/eb30aqqx4f89VldM3cY2ft/QyU4d3JXXiU27FZBl\nDSTpJSNq0cRLqrXfsSCU8ffe68dlWygyJCf2OpoJMlodPtVx/+rzL9r/06BGXh0Dv+2jbX6t/OJF\nXYr6228+yMnOkwAUe4pHtf7zyjZGjDhwcE7bxUN50KvN5nEeV3bSDEf1ZJll+z9JykmbBm+/2c4r\n9y9leVsOvYaN5MUR+x5MUkhXSN5Yk4p7jWaNItqnpFQ/TXnPD9Ay0BN0DUIdNpmsjGnvgivAl1wm\n/v37TlgIcy/Nxfg5Y0jJxlukDMCNm61spbLBiKGziyEKyVpVhUZrlJKNJKVE9OAbGhpYtGgRN9xw\nA0899VTQfY4dO4bZbGbRokVYLJag+xh1RkouzcXdcCRsdEI4ZHZocolGgor2KSnVT1P2ZespzDUA\n0U0iH3f3AJCvuY7Hr/u3uK+rXnB94W8XgxvMTWa237gdGJFsltuqOWa50dd0xo6dQgoBmMIUnDhx\nd36ApvkI2c0taI5IyUaSBiLVE16yZImor68XjY2NYsGCBaKtrc1vu8fjETfffLM4cOCAEEKM2j68\niCuEGN0EO1ZkM+yJy+Zj1aLktR2itKEy5O/2gaN7hWnXk2JV3f+M2ifw+OUHKwT7bhFU/SCh1ozq\nGvHB2gN6W1HuLskb1afAKZzCJEy+evInXilUGni/ZPa1ALzSVSqclxFdHWZZS14yiihMdFjCSjSd\nnZ0ArFy5EoB77rmHN998k3Xr1vn2OX78OJ///OdZtWoVAAUFBSHPF01yUjiupuzQRLDVt+HodKHP\n1mC/eybG3KyUHJNMwoWHemW5LtcAbYN91LY2jZJoAo+fmm2Enj+ISzKynbax59IeBj2DLM1bStWO\nKrJ0ivgSKPWYfmfin/8hl7nv9AGQU1zsC600YuQ2bqOaap61FVDwu89ysQ9m7akia7g4mcFgp7fH\nJitRSlJCWAN/7NgxFi5c6Ht90003cfToUT8D/+qrr6LRaFixYgVGo5FvfetbrFmzZtS5Hn30Ue9J\nsLz7bkgpJxxXk+aeCI5OF/XNyiKkreESlatnpeSYZBJKw1cb7sJJoSWaYMfH6ww4eh20DLYAUOus\nDavhN3U3sea9AaZ0Ka+z5871c17s2LFhY43jIq6GI7iAtm9vpbCyUtHvtQ70eXrsgDTvkrq6Ourq\n6pJ2voQXWfv7+3n33Xepra2lt7eX1atX89vf/pbJkyf77ecz8JKUo8/WAGA25VKxMvQTVaLHJJNQ\nT2dqw131xXK2nnwtqNEOdny8zoA34gugeEpx2KgvvVZPX47yc9Ztxczcvt1vuzey5qK+DDf+yVOB\niVGBiVOSqw+LxeLn/D722GOJnTCcftPR0SGWLFnie/2tb31L7N2712+fvXv3iu9973u+11/72tfE\n/v37k6ojSaJnc12rWL7rvCj8+SeisWsw6PaSly+I0n0XhbPf7Xvf2e8W1poWv/cyAedAn7C+vjOt\nay7OQafY8O4GUf5uuZ/eHmrfbx7eIM7eVx52XSlYv1evfm8WZuEUUn+XjCZR2xkxk7W4uJgnn3yS\nuXPnsnbtWg4fPuyns1++fJnS0lLq6uro7+/n9ttv5+2332bKlCm+fRLuDB4l46WIF6RO87bsvuiT\nWqzzDaOklkjbJelD3Q7QKAUaSRBSXi74iSeeYMuWLbhcLh555BEKCgp49tlnAdiyZQszZsxg06ZN\n3HbbbZhMJn74wx/6Gfd0MlZla+MhVZp3JKkl0vaxXmy9mghWzyZcKQSJJFbS2vAjnIedDO97PDXZ\nKHulmepzfZhNudSsK0yaIe0YGMLWcImKlQVBzxlpeyZ6+Jn0ZJasnsKhsGChnnqebYDlnSY+l30b\n3GUH2RLwqmTc1KKB8IlKyUhiGk+lC+x3z8Q635BU477wV2f5rP0cr13so3PQE3QfY24Wlatnhbym\n2sPXZ2uw7L5I2SvNdAwMJWWM8RBveeWUjCUFNZVgpNTw+7wPwK2deXyuuQ3OVcMhmQAliY+0Gvhw\n6ezJSHVPVXGwVBDJ0EaLrb7NZ4Sbe4foHPRwqd/DHS9fjOt86omn8Yqb+uZ+qs/1YWu4lNA4QxGN\ngY6mvHK6spuTVVPJdtrmVyvHG1FziUvMYQ6fz14GwCemAr684qKvxrxEEgtplWjClZ/NlNK04w21\npJKjhUGP4oV/8LU5FOXpIhwdnlTJSGqiKfkcT3nlVBFt6eJIqEsbz1syj44ZHThxUkwxBzmIcQA4\nZOPLKy6yL/cIAAca5rGqcy5k66Vsc5WQqEST9qbbkuSiNsL/XVJAWXULhzdck7Bxh8h6fTJI1ECP\nV8eg7J0yqturMeeZybkthyNaxYhvYAO72AUoss2LvEg77RRTzPFfXkTb96lygqINMHkmdDqkwZ/A\nXNUGPjDiY9vR9qsuAiQdRjhWYonEGa8GOlYC+7xeMeB7Etio2+jXKMQbOeNdcAUop5ydP2+AgXbl\nhEXlMOiEZmU7862wSiZKTTSuKgMfGE1Rvr/dL+KjtW8o4yJArkYyMRInFlIRtXPBYvGVHTZYrX7t\nKkPFwwd2iDLus8KFWphRTO+dt5BzZA/ZzU5EQTGadQelBz8BGVdRNOGIZrEtcEEtMKZ7rNPtJQrR\n/B7Ui8NjGaETjEQXbgMXUCF8n1d1oxA1gR2ivryqj4b5hXR+eSee7CZ6zE4G50BvyVxp3CVBGbOm\n24GErCaoetzXGZTh+qIphM5PnrDfPTPj5IqxZiwSl2ZOzsI0SUt+jibkPmNd3MxLMG890YgudbOR\nRW8s4vQXT8dVSVWdCOXAQX3uEfatAitb+dmgHpEDA8vNTMnbHvMYJVcHGePBh6wmOGwIqs/1YRj4\nol+ce2CoYbJCDycS6s8vVaGOgTRecdPW76H2Qn/Ia2bK01Ywbz3RfAp1sbIWVwu2D21h+7x6UbcH\nHOrwD4n0dogyY6aCCgwGOzqdlSl5NbLMsCQkaTPwkRJRQjabVhmC7SXXjJs490xhLAxpNNdMRaJX\nLHglwfc7lQlI7Vgkmk9hv9lOoU7p5hRLvLy3PWCwjmdqucaIEY3WiCGvUhp3SVjStshK5Y9DxjmH\nY6yiRCZKTZZwn1+q7jETI3sCUcffz5mcx6l7Hkqq4xBPvPzFsjL6qqvJNZuZXVPj5+3LGjVXJ+Mm\nisZ8YHvaSwgkYsDGeyRINFwN9xiKTKxbNNTR4afTq0Mr/8jexX6jEitvxapo8w02GQc/wRk3UTRj\n8UeUiP481hpxOqJMxvoex5JU1y0KFkkTiUCdXi3ZPGQ7A4xo8IBi3Jvr/erVeGvayNIGEkhjFE24\nP6JUSQWxGLDAMYx1RE46okzivcdU/b7SKYuluv2jOpImXMu/cKhDK++uqMLKVv9Y+ezhxVyTGVaM\n7hLV0L2UuzxzQaNHgwkhmkCjx2CwS+3+KiEjwiRTZcxiMWDBxhBuHKk2Runwrr1RR7GSqt9XpoRO\nJoNkFCULDK0MrB3f+sJMXMdNaGbnM+tOyMr1j7ZZ6cnB7VaMvUZjQog2AHp7bBjyZNbr1cCYGPhA\n45gqYxaLAYt1DKk2RqEmp0xY/E3V72siSEbeuHqd9muUF+h57qafxl2UzCvZhMJ1ppH+k21wspY2\nm43Cykrs2FnKUnLI4V3N71gCZGWZQZPPkLuWrCwzekP8VTAl44sxMfCBxnGs5RCIXa5IhTEKNN7B\nJo1M8HJT8fuy1bfR5fJQOFlL1erxG7WkTtiz6r6R9IYgaoJlxxoxMpe51FPPBgO80DOHVYYaQPHc\n9YYKRZ6RC7RXBWNi4AONozE3C2OOlvJXPx0zzzRWuSIVRi6S8bbVt3GqfRCA4hk5Y+blxivthMPR\n6eJIywAAW4+2Rzx/phaaC5cFm8xuUK02G6KrC21hIbOqqvxCKr0yzQKtGXNeDZphzV6jMdLTXa7o\n8J1daJqVqBwO2WShsgnKmGSyBktyGYuMy0RIRdZspKcCR6eL9gGlU1NRXva49XKDEa9E5v2+ZMr3\nJ1x0TjK7QbkcDvqPHMHT0sLlrVv9xxCQFOXF43HgdtfjdlUzhBKVMzR9Ct3FToRHRtxMRMbEwAcz\njhNBf02USNmd6s/oOYsp5HkyuZBXKGLNbM3UQnPhsmCT1Q0K4itehkY5JivLTNaqo7iuNdF9Rzdu\nTS29PbIt4EQkvU23wywQjofsx7Em2s8oWAJTJizOJpPAz2I8fH+S1Q0KRidFeQmX8Srq/xCP8xUu\nP5ODq++zeHJ/h+HZS1yYXsBf5i1AaKfKLNkMY9xksgohrurMyXQSrNVePJ99MieFTJtgMm08amLV\n6kNlvBZSyD3cQxNN6NGze08X2c1HuPAv0O9Qjp30lTnYXijiFW1AlqwkIxg3maww8lhdMEnLxR73\nuJIQQmGztWGxXKSsrJmOjsy4l2ByRzwSxp6mXp+u/YevtSU0plRr5LHKUmOh2UfT8wBi1+qDZbwC\ntNBCNdXUU0811dRlv6VsMOQBirxT+LNTCO1UICBLVjIhSKuB9xqeBfk6jnw6MOYLYsnA4XBRX99P\ndXUfNlt095LKScFW30b5q5/S7fL4vR9P9cZBz4jnoAld2j0qUq2Rx2qwx0Kzj7aRSKxavX/G61EK\nGa5kiZnFLAYgjzzuu8vFr+fDD6tXYLBafQXN7Ng50DCP1/fkYKzeCANywXWikFYD711cnZqjXHYi\nePJ6/bChMOdSURGdoYhnUoiWUIYunqifpQU5ABQX5IRd1I2GVJcHjtVgj0W54mgbidhvtmOdaaWm\nuCYqrX6W3e4z2NONRdzzu3swtZvIP5nPT10/xYqVZSyjMxf+ZZWZ/3/WDr+aN0aMLG1vIbv5CJyr\nZrDhGyMnb7DBHgtUl0nDPx4RaQAQpfsuCme/WwghhLPfLaw1LWLWzz8RPHNG8MwZUb6/OWnX21zX\nKkpevuB3zVThdLqF1doinM7or1NaelHAGWE2n4/puKjOve+i4Jkzwvzi+YTv3ft7SvVnmAySMdZU\nf2+cA33C+vpO4RzoS/q51ZQcLxHUIqhFWE9alWsLp7AKq3AKpxBCiM1isygRJaJUlAqncIrLu7OF\neBbhqkQcvHTNyMl2lwjxLMq/A9aUjlsymkRNdPrqwT9zZtTi3vTnGnEOKlLChiI9u9YWJuV6mb6Y\n29ExhM12iYqKAozG2L1Hm60Nh8OFXq/Bbp/pd47xEE2SqYzl9yaZjb7L3imjur0ac5455FOABYuv\nKJkVK49c/g1feLOdk+bJXD/jNEZtkbJjdZlSrVKXBzOXwaoqmfWaRsbNImuwR+dbTcMSwIwctt+Z\nmASgJlNiokNhNGZRWTkrLuMO4SWeTG9bOJYx+pGuPZbfm2Q2+n564dMRJR51UbJ/tem59t4b+fCJ\nXOZnvTli3EEpYzDJBK4rcKEW18FFMilqHBHRwDc0NLBo0SJuuOEGnnrqqZD7HTt2jOzsbF566aWg\n24NpnVWrZ2Gdb+Dg+tlBuw3FawjGuh1cqvAuzr7/vlKuIBbdP1PYe3YkMmdTXWKRObESaSF2LL83\niTb63nNpjy/y5juO71B5S2VY/V6d7apxNOKuP4rhwACD927wae697Q/SPVCOe5riQXpyQNPbwtC+\nRVKPHydErEXzne98h2effZaioiLWrFnD/fffT0GBv1EZGhriL/7iL1i7dm3Ix4lgfzDhapokUlQr\n2lopNlsbe/b04nQOMXmyBoNBy2c/m83UqdpR0kcm4PXcAebMyaKmpjDjxhiJfvfI9yPwqzLWJZhT\nUWMnWuzL1mM7sZ+KW9fGJc8MegZ9P2uIHPLkzXYF6FVnxdpylCYigA4TPcva6DHD5Lcnoe3rJ/sy\nQIusXzNOCOvBd3Z2ArBy5UqKioq45557ePPNN0ft99RTT3HfffdhMo0vmcXhcNHSMsTAAHR0CC5c\nGOLIkYGURLckA3XEzqlTc4Ia93TE5SdyjXCyXKpj0zP5yS7RRt9L85YCUDylmOduei6mY9VROFlG\nJSYek5mBLyym+7vQac3j0lO34xmc6dvmbTAiyWzCevDHjh1j4cKFvtc33XQTR48eZd26db73Lly4\nwMsvv8zBgwc5duyYsqAahEcffdT3s8ViwWKxhB1YOkoIew2ml7w8DVeuiKDSR7iFzXRht8+MuDir\n9vJttktUVgb3SBO5n2ivEYyq1bNC/l5TOamrnw7GC7EsvFbdUhV3GQS/uvN32RXvfEUFBh04P74R\n1+E2XNTRbiin8GEdrKig17UNz4BDdohKMnV1ddTV1SXvhOFCbA4cOCC+/vWv+14//fTT4vvf/77f\nPvfdd584evSoEEKIBx98ULzwwgtJD/UJxua6VjH78UYx7f9+IlatvxBXuKHT6RYbNjSLdesuig0b\nmkVj42DIkMeSkgsCzgg4I6zWliTcQWqINgQzkftJVZhnYKhjMsMWS16+4AvJtdbE//tLZwhuyWs7\nBJU/FlT+WFhf35nSa4XiQmmp+AjEObNZuJ1O3/tXOkuE8zLCeRnR3SXDJ1NForYzrERjNpv58MMP\nfa/ff/99br/9dr99Tpw4wde//nXmzZvHiy++yJ/8yZ+we/fu5M1AIXB0umjOG8J5jYfaWf1xSSpG\nYxa7dhWyd+9sdu0qpKhIFzK6JZaEprEsX2C3z8RqNUTU5+NJ0Ir1GrESGAGULMkmmXX001niINGF\n12TgL9+ovPThypT6twvQ112UiVAZSsQ4+OLiYp588knmzp3L2rVrOXz48KhFVi+bNm1i/fr1fPWr\nX/W/SIKxnGq80sL7dw5yqdADjVB8KIeDe2enVDaJJXbdYrnokzCsVkNMEka6SDQW30sqpatgRdPi\nQR3fXv5ZPTvXxJ9vkawxRUPHYH9CC6/BCCxktu2jbb7XFf8xE81HjWj0embZ7f4GPQDh6VA6RNVd\nHGkcMrkQvnZaxsknkURtZ8QomieeeIItW7bgcrl45JFHKCgo4NlnnwVgy5YtcV84Xnz671twzbYs\nzE25bN9rSrkm7o1dj4ZEvON0Ecv9hCMRPT4S0a7DRIq+ibaOfjLHlAy8C6/JxFvIDMD2oY3WwVbf\n69PvmZh/XAld9fZ4DUqDDU2nA0O2HrSTR97vk9E1mUZaywUng7KyZqqr+zCbczM2TDBZ3vF4IPD3\nsW1be9oXoyNloMrs3hECs1w3/naj7/UL/zcf16u15JrNoyUZNXssvlBKisqh9ahi3E1mKKuBN7fJ\nfq9JYlzVg08GV5PxHA8E/j7GQp5Kp2wSSCbXlQ9GYNMR9eu8HoI2ERnFcPmC1hcKcA0sQDN5MrMe\nNpBVul0x5uoJYL5VevQJcNUZ+GjJhLDGq5GxeMIaSw892vo1mT4RxNRkZKADDtm48HcX6W9Q9HeD\n1eqTdNx75pLdfI6h6flo172HZnJR6HNJwjJuatGkmsDIlVSW5E0WmdgsJFFSFWETjrGsvxNt7H46\nom+ibSgSdHyxNBnJNcKqSjQGJSkqsC9s/xfnMjgHuu/opNe9NdRZJGkg4iLreCFwsW88LHRGs0A5\n3p5EkrV4myjReMzh9onW44520TUtmdnDBcsAbCf2x7RAG2uTERs2ztm7eMhWyN0VVX6STu57TWgG\nQP9WPtmrH4/xLiTJZMJ48IEGfSw8yViJZhIaD08imUg0HnO4faL1uKN9ekhHmYRIcfPhPPxYm4w4\ncLDfeISvVbbwsNHfS8/uLSK7DXQtnbjrzHRfKUPU/6FsHDIGTBgPPlgafyZ4kuEIV3rAF+8/jitH\nhiIdTyXReMzh9km2x51oIbNoyhZEKlgWzsM36oxU3hL9Yqi63HAFFX6Nv2dtmszlX4KrPYuhwjam\nLKwmu0nLpH6l94OrdgHZpb+T5Q3SwIRdZB3vqKNR5szJCllcLNMJZszDRdoky/hHs/Aabp90L9xG\nkoQsdXafcbbOWYBRNymkwV9Y/V+0DPSg02g5vupBigz5AJQdqqK65WPM0wqpWfn7CSVPddCBDRsV\nVGDEyAWLhf56JXLGcG85Q/97hP6TSky9diXM/QPw3tFgIbjutGLIk9E1kRjXi6wTcZExWURTOXI8\nEExiCidNRZKkov3ORCOdBNvH24dg429a0xqVE0kSCpRfwjUIaRnoodM1wKXBPu54bYfvffuy9Vjn\nLPAZ90QWZb3lho0oXri68bfpp8+h+cxtAFxZChceHjHuAFldGnJrX8W9x4Toa4rpupLYGFMDL/Xl\n0IyHNYRoCGbMw91bpHWJZH1nQk0UwQxtOrpQRZKEvMZ5UV4B5a+/xPudytiC6e06jfJnrc/ScfjO\nP/C9H1iSOJ4uUurOUR2uES09sGbNLLudt62FrPwN9BlHlGCh0aAd1JLd1kV28yVa6hYy0PCHUp9P\nEWNq4MdDpMtYkWhbv0whmDHftq2d1tYhNm5sHeWFR5rYkvWdCTVRBDO04bzrZBn/SIuwXuPc1NdJ\nfds5Lg32MWdyXlCp5fiqB5kzOY8P1vyRT54JRjzFzEKFU2YZjWiNRlrKy7lYVsb/x3d4svI6DMZC\nFtz1NuTOAEAjBBq38jl5NLD6S/181PmKkhh1rlopdSBJGmOqwXuzICdP1tDU5ObMGRdFRZnbUUmS\nHBLJdk1GJrPN1saLL/bQ3u6huDiHgwdHCtUF097DZcqmu1F3LDq6d2H2THcHRfqpTNXl+un18RQz\nC9bQ25sk9ZdbTnHDiXYA3rKa2FipaPBWrFRWdw83784HV6fvfAfmT8PiuhXdudqRUgeytIGPCZHJ\nqv6D91Jermfnzvir/qWTals9Tkcn2fpsfs9+N5OMuWM9pIxmLLJd1Yu3XV0ejhwZACJ/z2z1bXzg\nHORMl4ujX/kMP3q7w28xdONvWtNaJiEWo6xemPVinbMgqvj4UFE7gaUOAGYfmk3LYAs//SuwHFN0\n+O/U5POSsRYzZmqowTiA4p0vexx23Q59LXxkmoap7B3yX/8B4uyvGTJOov+O2zBMq5IRNsOkvJpk\nOvA+dmdlwdDwU+54CrpxOjo5W98MwH5bA+WVq8d4RJlNNJ2p1CQjskadVFZYqCiTZnMuzz0Xvrqk\no9PFkU+VyWDr0XZa+4b8egUno7pkLGUMYqkw6ZVg8rNz6HQPxibFqEIqF+3/KafX/h+MOZOChlN6\n+8F+92/guf+8hvJf1/DfRshSRdmQC6yqxIaNi1+7jm2HYPGKo+TnFkF3I5qBfrI/7SfnzVrcuUvR\n9c6VxcqSQEYkOnl11zvuUDzf4uIctm9PXn/XVJOtV+bJ2WYTaytWjvFoMp9Y1xeSsbCq1u6PHv1M\n1AvYgZp84OtQ0TqxaPOpKmNgX7aeeYZ8FubNoHCSgaoYer56JwdQonLCLcJ6+8FeX1jM3XvfJ8to\n5PY3bqemvoYbGm6gSRUp48DBvtwjlKxqYXPucIJUthKB454GfUtz0HSdlZp8skioH1SURHsZp9Md\nsmVeLGze3CpKSi6I0tKLcZ3rlc11YkfJy+LXpftEn7M/4v59zn6x01oT1b6S2ElGi8B4v1uBbQQD\nX4cilhaBpfsuCp45I8wvnk96G8B42/45B/pE4ctPCSp/LMwHtgvnQF/ofQedwnrSKpyDIy398uvy\nBbUIahFzDs3xvV8qSgUCYRZm4RTD+/c7haemXHRf2iCcl6eKwV0I8SzCVakTot8ZeLmrikRNdEZo\n8MnmmmuaaG5WvKZ4tHy7ZbdPcllone8nuUi9Pf2MxxLRsZQwTmVSVSLJTYl0lDI1mLjkuoReq+eD\n2z+gaLiiZGCClBcbNhw4+IXzdfIHXEx+GwbMy5kyY+9VrcePq0SndCU29fePfCDxfDbhJBev3v5x\n9Tn22xoSGqckNOrvChBR0sm0pLlYas8kQ+YJOY6A5KZYCIybj4Xj5uPMyZ3jZ9xtp22Unyin+51u\ncPnvv5e9rLbV0/p7Ljq+Cd2LYCjrCL09UqJJhLQa+HQlNt16aw4Qv5b/e/a7WWidz+/XrBvloY+1\n3l5tq8du2U1l2Sv0dwyk/frpItbvSiYkzflNSn0kXMI4Gdp8IkY6XmynbTz4wYPcYriF/OyROPxw\nJYn76WeeA6YdBnct9HwXYBp6Q+TKlpLQpDWKJlSSSrJlj6qqWSEf6att9Xy09yxD/W5m3WriK1Wr\nR11vkjE3ZCTM79nvZr+tgbUVK5Miz8R678mO2EmX5BRrJEysCU2ZkDSX7P60sRQ8CxWJMxaNRgL7\nvnqjbsKVJP5Xm54bTzoByPo8GH6Sz9T8d9BojT75Ro+enQ0zyT1bg3BdZmj6ZPrvMMuwyjCk1YMP\nlaWYbNkjXJSG09FJT3Mv/c5BmmovxHw9r/FPliGM9d6T/QTx0Z4m3/X3/eFrCZ8vFLF62LGWaoi0\nfzoknGgmmVhkl1hknlDefjoajaixHd/PyQ6l3EDxlFv9DHm4ksR3Oj7LNMW+M9CsxZa/kC9n/TEd\ndOKYEzYAACAASURBVODAQT31LLdVc/ZP7Vz8cTOezkGyP+1Ev7eWoX2LZImDEKTVwIcyvOmUPbzX\nAphVPCPi9VIticR67+Hko3gYGvSMvNBoEj5fKGL1sGMNpYy0fyISTrSTg3eSuekmHeXlnwbdPxaD\nG0unKq+3n6fT4BwY8k0e6Wg0osbR3Y7TWQ4DtzB36Ls+Q247baP8ZDnd7u6gx+n0U30/Z7d5WPnw\nm1RTjQ2brzTx5x15aH/rou99aHseRBZoByC7uUWGU4YgI+Lgk220Il3rhvLPcsOGIu4/uD5qSSRV\ni6qx3nsynyCqbfW+VWjTLdNZ95wl4XOGIpHiacnwvhORcNSTw9KlF0KOxTvJNDa6g04mNlsbJ08o\nSUHF03KSanDtd8/ENEnLFZeg9kK/b/JIR6MRNfosHYjJTBn4Q3pcWb4qleH0d9tpG3+0rYvOGcra\n2UkzfL8CpjGNCiqwY8eKlcX6ZQDk3mik4C/vYahgpnICkxlWSK0+GBmRyRpO84bk6sSTjLncu3NN\n1Psn8nQRzbgj3Xsi546E09FJv1MxOMbrpqZ0ck2klV8ytO1Ys2fVqCeHnByCjkW9xqAbzhEKnEwc\nDhfO5z3wBzC3Jxvj15JncI25WdxmyvWFZnonj0QbjcSKKUdPtkZLt9tFbWuTr7FIOP3d0eugfugI\nR/4b/uE5DX+9XZCVb+Qd3vGFUlZSyZC9gzabDVNFhdIicLj5NysqZLZrCDLCg49ENF50qqSURJ4u\nUun9J+Pc6skrXu89HVE9yVhATaQ6p/rpY+rUkTIHgcbb67UbDNqgTyt6vQb6wPxeLvk6bdLXBNLt\nrQejqa8Tt1Bkv2yNlsc/f6cytjD6u9f4k5/Ht78ruDIAJR+UUESR335ZRiOFlZVkGY30dts4MXAT\nv1lWy306qyw5HIJxYeCj8aJTZUwTkURCjTsZRjEZ6xbJkMbSkRcw1rXx1ZNDqLGoJ6Ht201BJxP1\nsU1NwWWchMYZg2afKtQlDtzCw9aTysK9t4ZNsH6v9pvtzJs0jyxNFrihuLGY7TduB0LXn/d4HFzn\nbuZWl5N1PbWy5HAIxkUma3/HQMTQxMqyV/i4+hyzzaa0aPmBBJNMQo07XKZsoudON2P9uSebeAub\nxZptm6yKmmMRBhmOjsF+Fu3/KS0DPTFlz1pOWHyhlRsKNrBr8a5R789bMo+5M+aiR4/9igtctZzI\ngr/PK6bm1RnoztXieCGbDwa0eAx6DH+q527PPLKzp47bomUTolxwMhhrgxeL0Y7VKMY6IaSTeD73\nTCz34DXsp04N0t6uSAyx1qqPhWATQjyTS7rr0UdDsurMB76fc1sOR7RH+Hsb3O6YwQ052fz9r27l\nn6bvwDgArx26kda/a+O24QfJ3uVwywPDF5hvhVXjrwfsuCpVkEqSHZ8eK7FIJrFKI2OdPRuOeD73\nTCz34NXQvcY91QlTwdYE4gnl9IZBFkzScrHHndK2gpHw9njd+OYeP+MerPdr4HuhNHr1+1O1Sijl\n5x15fLb+Mq4Dn/LDhw3D5YiNPL7qNroNynEnzTDtT5W/myvTdXxt+VnKKKODq0ufnzAefLKJ1ctM\n5RNEMs+dCd5zJso6XsmkuDiHoqJsnnvOlHa9Px7Zxluo7GKP21e3PhpPPhXSjrrBiLqxSLD3Q+0b\nDm+hsn8uc+KqriXXbGZ2TQ1/3LwNR68DnU5HwZxcfvQwPFqRzXfdr/O5t9potcOnTfBuHtTbN/AL\n466E7zVdpNyDb2hoYNGiRdxwww089dRTo7bv2LGDxYsXs3jxYjZu3IjD4Yh7MJlErF5mKp8gknnu\nTPCeU533EM8itncB9ODB2ezcOTaLufEsJnsXVqfmDEf3RJnQFG+Ga7hM3FA9XoO9H08/WCNGKqnk\nM/Yqvwbf3hh7y1/V8tCat5jU7eHx7+ST8xUn523QtweMh8FSDT+ypS6ZLxOJ6MEXFxfz5JNPUlRU\nxJo1azh8+DAFBSNfoDfeeIObbrqJ/Px8fv7zn1NbW8svf/lL/4tkgAcfq+eaiV5mMrzvTLyvZJPJ\naxapQl1yeNu32yNq+eHKGYfz7sNp/qG092DvB3svVJvASHh1+t3b8rjp7SsAaE0mPG1t/jvmT+Wz\njU1KDL2K3m4bHo8DNHoMBntG1bVJ6SJrZ2cnFouFd955B4BHHnmENWvWsG7duqD7X7p0iaVLl3L2\n7NmkDjIZxPpHH48sYrPZcDgc6PV67HY7RmNyvyjJMFzpXIweKzlovE9iibYoDGxqbvxT7SiDHa4G\nfTgjHkud+1hRyzam3MncNm12VIbe2yf2oT85wg2HL9L0uXyum7UE98F63FmQPfygcXpdIV/e2+w7\nzmvYh4ZOIYTSLFyns2LIy5zF2JT2ZD127BgLFy70vb7ppps4evRoSANfUVHB+vXrg2579NFHfT9b\nLBYsFkvso02AWBcq48kw3bt3L83Nyhdo06ZN7Ny5M/aBhiEZi63xZs7Gw1j1qk12xc9YSdRAJ5q5\nG5gYVt7wqV8fWW+sfCidPlz9mmT0oA057mHZJi87h7aBPqpbPsZ2Yj9G3aSwnr03xr707+6g9NGL\nfP+7nZQXGPmabh7dPWcxHx7i4+LJfOn5o37HeTwO3O563+usLDM9f6an438taPR6Ztnto7z9VFNX\nV0ddXV3Szpe0UgW1tbU8//zzvP7660G3qw38WJCOP/r+/n7fz/HOuuG83lTcQ6JedrjjUxH9E2m8\n6u3JPG8s+yfbQMdKYFmGWAuOBRrxQMnGOzEke6HWvmw9thP7cQ72U9vaREHOZC72dfOb1ibah6Nv\nlh7YzlzD1KDGXpM/le/8rVIO4d+Kt1P+o3LebvmEv6+A1//yTqqaf4TjjAO9Vo/9ZjvZGiWDVqst\nZvKJdrJ7c+h6cw/9pxRvvs1mo7Ayvd58oPP72GOPJXS+mCSab3/726xdu3aUB3/y5Em++tWvsn//\nfq6//vrRF9FoeGVz3ZhHb6Sa1atXU1tbS3FxMQcPHoxLonlq9i/oaekD4IYNRdy7K7oFqHhJVPYJ\nd3wq5KBI4433fmI9Ltz+iSYxJbtFYSItAW31bVR+3EPncNVRtWQTKOUYc0ZLQRHPH0R39+rzF/u6\nOXL5gm9f87RCcrRZvvcCo2+8Uk3FwgqMOuOo2Pryk+W+pKkdT8/jS6/3MnS5Fa1+Krmf6WPW/xnk\n059C3/v4InQ+/e7tuD9qQTNZx+xfHSd7un/5hFST0iia/HylG0tDQwONjY0cOHCAZcuW+e1z9uxZ\n7r33Xnbs2BHUuHvJhOiNVFNVVYXVao3buENyyvfabDYsFgtlZWV0dISP+03Uyw48Xh3BAkSM/ok1\n4iXSeOMtDxHL51Btq6d12MsLVnI60dIKidTNCcRma6N8zad0/8QDfbEf7+h0+Yz7tByt3xNAYIni\nDzoGY47McXS3U992zifHwEgXqqk65XtTnD+T8mtuoGbl7/veCxZ9E1gOITC2Xl3wbHnbNQw1fwqD\nAk9HJ33vD3L+RyD6QTstl1lVVWSd3IY49hGuw50MHrhE80PzudJ1B91XyhAe1d9Vgy1j6+BEfI59\n4okn2LJlCy6Xi0ceeYSCggKeffZZALZs2cIPf/hD2tvbefjhhwHQ6XS89dZboy+Uwck6yUC9wJoI\nhUsLaKy9wKzigrgLgDkcDurr633jqgzzmBlM9ollsTjw+Fh198D9c405fLSniaFBD4VLCygP6LgV\nSaYKtT3SuGKRv5yOTvrblUlialEek4y5oySbVGXAxkrCctGwEZ+Wq+Wdez/j55Xb757Jjb86R1u/\nh9oL/RROji1UE8KHS3olG3WkTbD3QuE1+L7z3Wz3efi9ho24VfvmXDcFLd30nwEYYNfW2/nKN69D\ng7JCq7sBDD/xMOQ+AoD7taXoeudCth4Gu+BT5X0O2TIqYzZtiU59zv6MqJ2SKiwWi8+oWq3WsEY1\nHNHKGuGMcFlZGdXV1ZjNZmpqamJ+mlDfy7x585g7d27UkUGxRrAE7v9S+as+QwzJC3NMZmRNsHNl\namhmwnKROvzyaPsoCUYdVXNdXja/udjH4hk5VEVZ9CyesgbRYjttw9E7ormrM2SHOjpo3bQJMTiI\nJieHmc88wafrb6fvWAsnzfBgDfzvockUnOmjtRImPQddJsgHPsmaRtFr/UxvVR6JPJNNaPvalLr0\nZTVJrXmTcASiSANpuozYvHmzKCkpEaWlpcLpdMa0PdS2SOf0UlpaKgBhNpvD7hcvgeMoKSkRgACE\nyWTyG5/T6RRWqzXucajvZfny5b7rWK3WiMf2OfvFTmuN6HP2R3WtwP1/XbpP/CPPiH/kGfGz4hei\nPk+yxxXLuV7ZXCd+Mu1nCY958+ZWUVJyQZSWXhROpzspxzqdbmG1tsR8vmCUvHxB8MwZwTNnhLWm\nRTl/v1tYa1qEs98ddHvYMde1ipKXL4jSfReFsz/8+DYfqxYlr+0QpQ2VwjnQF914j5cIahHUIqwn\nI3933U6nqLQWijwnwizMoqNtmRjYhzj3B4j/nYV4ezriHUu2uHz5pLi8O1uIZxGuSsSuizli4EC5\nEP3K39unmzeL8yUl4kJpqXAnaAsStZ0TysCrjV4wYxRue6htkc7pJVGjGonAcXiNcF5eXkwGOBrU\n95LqiSuQPme/eGFDtXihfH/SjHuqeGVzndhR8rLPuP8jz4gXNlTHfb6SkgsCzgg4I6zWyAYyWcdG\nS+m+i4Jnzgjzi+eDGuRI2wOJZUIoeW2HoPLHgsofC+vrO6Ma77V1twlqEfm/uU409jRHdYxTOIVV\nWIVTOMWVrlLhvIxouiNPfAS+f81Wq3jvgRxxfhGiqRjxiR1xrG2GuNJVKjxDTnF+yeyRfe8tj+q6\noUjUdqa12Fgsi3+RzjN79mxmzJjB6tWrfefy6t9ms5mKitEtvMJtD7Ut0jm9bNu2jdbWVjZu3Djq\n3pJx395xTJkyBafTydNPP43VavUteqvHl+j1jEYjlZWVbNu2ja6uLgoLC6mqqko4cSuacU0y5nLv\nrrXcu3NNwlLeXy/8e7YZf8g202N82tSa0LmC4dX1vV2xZptNrNt+Z9znSyQ88uOPXQDk52t4/PHp\nKWkyHqmhSKwNR6IN37TVt3HyknIPxcboSxvM9dhg4BY627/B1veORj6AkXIIRowYDHZ0OivZU0YC\nS3KKizFVVDD9pJH+0+B6Byb9C8z5xmUul1Zzfu0iEL0A5BaB6RtjXIMroekhSryXidYbjoT6POpz\nRfKiw213Op1i3rx5Yvny5XHJHfE8HYQimCzkdDqFyWT6f+2de1xTV7bHf7wfIgmYYKQpFJ9ArRIV\ng0MVZ5qxxTs2maG5Fae1tR1wvLe17VScTq93Or2308d451PtTIv6ccROlbGiH23VokIZlLEFta3V\nItb6CA8VAQkBlDfr/hHP4STkJCckIJLz/XzygeScs/c+i7D2OmuvtTbbjkKhIKPRaHN8gyFnvV4v\n2F0ltD1nYSzmj1MPCLLusySvs5Z1lvJ1l9uzhnEnbVHtol3afMFt8PXL504R4rpJTq6xsOCdsehd\ncQ05wl7bXPeOPVI+uULYWEH4aBtpD1UJ7jv16E7CzrcpsWCrYLeOLbqNRrqq1dJVnY51uVyZGUYX\nAKqOBrX/FVQ5p8/CvzozkK7NBHX/NZSo2TDgfonuMheNux73mXYAkEqlcpvrgKuAYmJinFJm9u7N\n2fvmU4Tc+7anJN0lZ6VSSQBIIpGQwWBwWUG7Oq7tKZ+wCnuP/rDD87NkfzAr9+D/pVrDdZfbs2ag\nfn1n+xWirFNTrxJwkRITa8ho7O733tX2B4pilYHwm4uE5y6SNt3STSLUB++s64fB2NFG+i/2uKTc\n+ejeqaFrM0HGD3zoR02h9N09ZuV+RuJLnZtmEm0E0UZQ7Wd+lNajISMN7P/wrlLw7vJTG41G0mq1\npNPp3OoXdmVx0da9MRavRqMhrVYreKx8itBoNJJCobA4xmft6/V6Wrp0qeBJylY7XBkoFArSaDT9\nxuWMVe/q35+xmLcm7rapVK3HUmu4TlnK120qd0ftZWRk0H8oVtFvw9+gbZq9bl0PcHQf1ghR1tbW\nvzOLq85MBs4S/sZl1s+uO2Cp4Lk+eMWHl3mVt1BLf0hpN1JRgZwk7SAQaEdynwV/bm4QuwDbdA1U\n0Qja3xxFTY3jyHjDn4w3pNRi0lBvj+P/g7tKwQ933L24OFCL15EriXvMXa4hW+daPzHodDq3uoOc\ndfk4spidHYut9hj3yW/Cfk/LscolC3+g98Edx8epB+ia4ZbbImFs4c5IG2s0e81KXPVxdT8FzVjm\nzkTeuELGiXwa9+lfKGzPOtIU/8Nlyz6VUgkECqEQ2pxqVu57Z3pTVI0XVX5mVu7GG7dfjWP6fr/9\namqUswuzfHikgp8yZQpJJBKSyWRkMLjm4+LDHU8b1pOEK2GcQvsQesy6T5lM1u9cW08MzvTPB9Nn\nWFiYWyOAhI7Fnpy57pPf4R16Cxtos+rjAVnwrjwFuOo+utMwvnfNoiukO3DNpvVtbO8mxYdmCz/k\nj5font8ZaGzOZQrPuUyafVecstgziuto3N8NFLaF/1puJI6taJyMsxmUcjKFUr9OJWOn4+8yE3Gj\nIQ2NNoI+0odRZPVoAoFCe0AVjDJvUlGzSWOh3KuX+pIhGVSdCKr8sRdVPxBGVx7W9AurdFV33pU7\nOkmlUphMJgCAUqlEdXW129p2J01NTZgxYwYiIyMRGhqK5uZmHDtmznizlQw1kGSppqYmZGZmIjg4\nGAaDAZcuXUJUVBSqqqoQGRmJyspKlJaWIjq6r4YGN0mKOyalUokzZ85YRMtYt2+d8MQc37Rpk+Ao\nG+59AhhwQhafLByNxZ6cmSQmuSoMReP2QeefjkU5A6udNH/+fEw+MhPjMRmAcwlQziZmDYedurhY\nlyzmy6Bt6ujB5NerUb+uF1gB3BaV+Ton9pjl1sUBAN19wdjzsMLinIUlecivvQTAXP6gaH66RXJV\nZPE0XOs5Y75eloaKqw+jtuMm/Ly8cVLzFKJHSWzXzrm909QmbMIk0yQ0SBrg0+WDU3QEMR3rETzK\nHN128+YymJ7/Cj0X29Bd3gQymnNpvfwAMgdBIVinwzhOFVqPTHRirM3g4OABW/CuRoQIhes2GAxr\n2FY/1i97rhtHY7J1jSvWdkZGBmu5T5s2zam1CXdhT87uSojKyMig8PBwegrPDegpwNlxDDeL3xm/\nPnOu5L8use4a1a7+Lh27bVi5e7T5/ePejR1tpPvXbtL+a5d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mkwkAMG/ePERHR2PBggUo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\nrkJggg==\n", | |
| "text": "<matplotlib.figure.Figure at 0xa974b10>" | |
| } | |
| ], | |
| "prompt_number": 153 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "# do bispline with scipy, based on yesterday\n\nimport scipy.interpolate\n\n# knots for x- and y-dimensions\ntx = linspace(0,100,10)\nty = linspace(0,100,10)\n\n# spline order for x- and y-\nkx, ky = 3,3\n\n# do a spline interpolation to figure out size of basis (would be classier to know the formula...)\ntx, ty, c, kx, ky = \\\n scipy.interpolate.bisplrep(100*rand(n), 100*rand(n), rand(n), # random data, since I just want to know shape of coeff vector\n kx=kx, ky=ky, # spline degree\n task=-1, tx=tx, ty=ty) # task=-1 means use knots provided as parameters tx and ty\n\n\n# now use tck to generate design matrix\nX = pd.DataFrame(index=data.index)\np = len(c)\nfor i in range(p):\n c = zeros(p)\n c[i] = 1.\n X['spline(x,y)[%d]'%i] = [scipy.interpolate.bisplev(data.x[j], data.y[j], tck=[tx, ty, c, kx, ky]) for j in data.index]", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 154 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": "The special thing about b-spines is that they should give a sparse design matrix" | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "(X==0).mean().order().plot(kind='bar', figsize=(11,4))\ntitle('Fraction of coeffs == 0');", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "png": 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Ijo4GAISHhyMxMRE2mw3ApatrNpsNNpvNsO14vL5tb9vXsG7duga3d7xaaOb5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\no1WrVpg6dSp+9atf4V//+hfuvPNO/Pz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| |
| "text": "<matplotlib.figure.Figure at 0xaea4c90>" | |
| } | |
| ], | |
| "prompt_number": 155 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": "How does the bisplev basis compare to the patsy tensor?" | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "import patsy", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 156 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": "Need to ask for 5 degrees of freedom to get the same size design matrix, that is weird, and possibly wrong..." | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "Xp = patsy.dmatrix('bs(x,5)*bs(y,5)', data, return_type='dataframe')", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 157 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "X.shape, Xp.shape", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "pyout", | |
| "prompt_number": 158, | |
| "text": "((1000, 36), (1000, 36))" | |
| } | |
| ], | |
| "prompt_number": 158 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": "Is Xp similarly sparse?" | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "(Xp==0).mean().order().plot(kind='bar', figsize=(11,4))\ntitle('Fraction of coeffs == 0');", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "png": 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BhuQZjNYQeGJIRERERJ7Bp5KJiJoxCU/hSmlIepqPDTZc3fCap5KJiIiIyDPE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\nxx3qo48+Uj///LP673//q2688Uavaeg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YgbQkHFc22JA+gyRS9gcbxm3U4dRrmkmkwYMH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\nRERERPQLnhgSEREREQDg/wPpNJ3BTlI4oAAAAABJRU5ErkJggg==\n", | |
| "text": "<matplotlib.figure.Figure at 0xa98f9d0>" | |
| } | |
| ], | |
| "prompt_number": 159 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "mean(array(X)==0), mean(array(Xp)==0)", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "pyout", | |
| "prompt_number": 160, | |
| "text": "(0.55622222222222217, 0.39627777777777778)" | |
| } | |
| ], | |
| "prompt_number": 160 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": "Not identical... I wonder what I'm missing." | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": "Would asking for knots be different?" | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "Xp = patsy.dmatrix('bs(x,knots=tx)*bs(y,knots=ty)', data, return_type='dataframe')", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "ename": "ValueError", | |
| "evalue": "some knot values ([ 99.97559709 99.97559709 99.97559709 99.97559709]) fall above upper bound (99.867384325861636)", | |
| "output_type": "pyerr", | |
| "traceback": [ | |
| "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mValueError\u001b[0m Traceback (most recent call last)", | |
| "\u001b[1;32m<ipython-input-161-e03fccef0e31>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mXp\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mpatsy\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdmatrix\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'bs(x,knots=tx)*bs(y,knots=ty)'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mreturn_type\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'dataframe'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", | |
| "\u001b[1;32m/snfs2/HOME/abie/ENV_dismod_pymc3/lib/python2.7/site-packages/patsy/highlevel.pyc\u001b[0m in \u001b[0;36mdmatrix\u001b[1;34m(formula_like, data, eval_env, NA_action, return_type)\u001b[0m\n\u001b[0;32m 276\u001b[0m \u001b[0meval_env\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mEvalEnvironment\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcapture\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0meval_env\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mreference\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 277\u001b[0m (lhs, rhs) = _do_highlevel_design(formula_like, data, eval_env,\n\u001b[1;32m--> 278\u001b[1;33m NA_action, return_type)\n\u001b[0m\u001b[0;32m 279\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mlhs\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m!=\u001b[0m \u001b[1;36m0\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 280\u001b[0m raise PatsyError(\"encountered outcome variables for a model \"\n", | |
| "\u001b[1;32m/snfs2/HOME/abie/ENV_dismod_pymc3/lib/python2.7/site-packages/patsy/highlevel.pyc\u001b[0m in \u001b[0;36m_do_highlevel_design\u001b[1;34m(formula_like, data, eval_env, NA_action, return_type)\u001b[0m\n\u001b[0;32m 150\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0miter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mdata\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 151\u001b[0m builders = _try_incr_builders(formula_like, data_iter_maker, eval_env,\n\u001b[1;32m--> 152\u001b[1;33m NA_action)\n\u001b[0m\u001b[0;32m 153\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mbuilders\u001b[0m \u001b[1;32mis\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[0mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 154\u001b[0m return build_design_matrices(builders, data,\n", | |
| "\u001b[1;32m/snfs2/HOME/abie/ENV_dismod_pymc3/lib/python2.7/site-packages/patsy/highlevel.pyc\u001b[0m in \u001b[0;36m_try_incr_builders\u001b[1;34m(formula_like, data_iter_maker, eval_env, NA_action)\u001b[0m\n\u001b[0;32m 55\u001b[0m formula_like.rhs_termlist],\n\u001b[0;32m 56\u001b[0m \u001b[0mdata_iter_maker\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 57\u001b[1;33m NA_action)\n\u001b[0m\u001b[0;32m 58\u001b[0m \u001b[1;32melse\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 59\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mNone\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", | |
| "\u001b[1;32m/snfs2/HOME/abie/ENV_dismod_pymc3/lib/python2.7/site-packages/patsy/build.pyc\u001b[0m in \u001b[0;36mdesign_matrix_builders\u001b[1;34m(termlists, data_iter_maker, NA_action)\u001b[0m\n\u001b[0;32m 648\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mterm\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mtermlist\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 649\u001b[0m \u001b[0mall_factors\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mupdate\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mterm\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfactors\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 650\u001b[1;33m \u001b[0mfactor_states\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0m_factors_memorize\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mall_factors\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdata_iter_maker\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 651\u001b[0m \u001b[1;31m# Now all the factors have working eval methods, so we can evaluate them\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 652\u001b[0m \u001b[1;31m# on some data to find out what type of data they return.\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", | |
| "\u001b[1;32m/snfs2/HOME/abie/ENV_dismod_pymc3/lib/python2.7/site-packages/patsy/build.pyc\u001b[0m in \u001b[0;36m_factors_memorize\u001b[1;34m(factors, data_iter_maker)\u001b[0m\n\u001b[0;32m 346\u001b[0m \u001b[0mfactor\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmemorize_chunk\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mstate\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mwhich_pass\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 347\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mfactor\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mlist\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmemorize_needed\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 348\u001b[1;33m \u001b[0mfactor\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmemorize_finish\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfactor_states\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mfactor\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mwhich_pass\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 349\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mwhich_pass\u001b[0m \u001b[1;33m==\u001b[0m \u001b[0mpasses_needed\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mfactor\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m-\u001b[0m \u001b[1;36m1\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 350\u001b[0m \u001b[0mmemorize_needed\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mremove\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfactor\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", | |
| "\u001b[1;32m/snfs2/HOME/abie/ENV_dismod_pymc3/lib/python2.7/site-packages/patsy/eval.pyc\u001b[0m in \u001b[0;36mmemorize_finish\u001b[1;34m(self, state, which_pass)\u001b[0m\n\u001b[0;32m 469\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mmemorize_finish\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mstate\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mwhich_pass\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 470\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mobj_name\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mstate\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m\"pass_bins\"\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mwhich_pass\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 471\u001b[1;33m \u001b[0mstate\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m\"transforms\"\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mobj_name\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmemorize_finish\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 472\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 473\u001b[0m \u001b[1;31m# XX FIXME: consider doing something cleverer with exceptions raised here,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", | |
| "\u001b[1;32m/snfs2/HOME/abie/ENV_dismod_pymc3/lib/python2.7/site-packages/patsy/splines.pyc\u001b[0m in \u001b[0;36mmemorize_finish\u001b[1;34m(self)\u001b[0m\n\u001b[0;32m 223\u001b[0m \u001b[1;34m\"(%r)\"\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 224\u001b[0m % (inner_knots[inner_knots > upper_bound],\n\u001b[1;32m--> 225\u001b[1;33m upper_bound))\n\u001b[0m\u001b[0;32m 226\u001b[0m all_knots = np.concatenate(([lower_bound, upper_bound] * order,\n\u001b[0;32m 227\u001b[0m inner_knots))\n", | |
| "\u001b[1;31mValueError\u001b[0m: some knot values ([ 99.97559709 99.97559709 99.97559709 99.97559709]) fall above upper bound (99.867384325861636)" | |
| ] | |
| } | |
| ], | |
| "prompt_number": 161 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "X.shape, Xp.shape", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "pyout", | |
| "prompt_number": 162, | |
| "text": "((1000, 36), (1000, 36))" | |
| } | |
| ], | |
| "prompt_number": 162 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": "That is way different" | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "rank(X), rank(Xp)", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "pyout", | |
| "prompt_number": 163, | |
| "text": "(2, 2)" | |
| } | |
| ], | |
| "prompt_number": 163 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "_, d, _ = svd(X)\nplot(d)\n\n_, dp, _ = svd(Xp)\nloglog(dp)", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "pyout", | |
| "prompt_number": 164, | |
| "text": "[<matplotlib.lines.Line2D at 0xa990a90>]" | |
| }, | |
| { | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "png": 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| |
| "text": "<matplotlib.figure.Figure at 0x952f590>" | |
| } | |
| ], | |
| "prompt_number": 164 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": "Seems like there are a lot of terms in the factor approach that are not necessary." | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "# drop all columns with all zeros\nXp.ix[:,(Xp==0).mean() < .99].shape", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "pyout", | |
| "prompt_number": 165, | |
| "text": "(1000, 36)" | |
| } | |
| ], | |
| "prompt_number": 165 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "(Xp.ix[:,(Xp==0).mean() < .99]==0).mean().order().plot(kind='bar', figsize=(11,4))\ntitle('Fraction of coeffs == 0');", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "png": 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BhuQZjNYQeGJIRERERJ7Bp5KJiJoxCU/hSmlIepqPDTZc3fCap5KJiIiIyDPE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\nxx3qo48+Uj///LP673//q2688Uavaeg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YgbQkHFc22JA+gyRS9gcbxm3U4dRrmkmkwYMH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\nRERERPQLnhgSEREREQDg/wPpNJ3BTlI4oAAAAABJRU5ErkJggg==\n", | |
| "text": "<matplotlib.figure.Figure at 0xa9be510>" | |
| } | |
| ], | |
| "prompt_number": 166 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": "Let's compare the results of fitting sim data with the two design matrices" | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "# scipy.interpolate.bispline design matrix, to be refactored into patsy\n\nimport scipy.interpolate\n\ndef bispline(x, y, tx=None, ty=None, kx=3, ky=3):\n \"\"\" Generate design matrix for bispline\n The use eventually will be something like this:\n z ~ bispline(x,y)\n x,y : array-like, the data to transform\n tx, ty : array-like, the spline knots for x- and y-dimensions\n kx, ky : int, spline order for x- and y-\n \"\"\"\n # TODO: check x, y are same length, and also tx,ty same length\n \n if not tx:\n tx = linspace(0,100,10)\n if not ty:\n ty = linspace(0,100,10)\n\n # do a spline interpolation to figure out size of basis\n # TODO: would be classier to know the formula.\n tx, ty, c, kx, ky = \\\n scipy.interpolate.bisplrep(100*rand(n), 100*rand(n), rand(n), # random data, since I just want to know shape of coeff vector\n kx=kx, ky=ky, # spline degree\n task=-1, tx=tx, ty=ty) # task=-1 means use knots provided as parameters tx and ty\n\n\n # now use tck to generate design matrix\n X = pd.DataFrame(index=x.index)\n p = len(c)\n for i in range(p):\n c = zeros(p)\n c[i] = 1.\n X['spline(x,y)[%d]'%i] = [scipy.interpolate.bisplev(x[j], y[j], tck=[tx, ty, c, kx, ky]) for j in x.index]\n \n return X", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 167 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "X = bispline(data.x, data.y)", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 168 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "import theano.tensor as T\n\nwith mc.Model():\n beta = mc.Flat('beta', shape=(len(X.columns),))\n z_est = T.dot(bispline(data.x, data.y), beta.T)\n z_data = mc.Normal('z', z_est, .01**-2, observed=data.z)\n \n \n start = mc.find_MAP()\n scaling = mc.scaling.guess_scaling(start)\n trace = mc.sample(10000, mc.HamiltonianMC(scaling=scaling), start=start)", | |
| "language": "python", | |
| "metadata": {}, | |
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| } | |
| ], | |
| "prompt_number": 169 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "plot(trace.samples['beta'].value)\ntitle('Samples from beta posterior with HamiltonianMC');", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "png": 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WPtTXy5Vps5x1ddmcOfNPqqqSqao6TK9eq3Fzu0vy19poqHfv9Xh4zOjQyeeb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\nu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pNF3nnhgmjJkZkzRQ4fFvHzE1nT+lVJx0MKQTJwly8eOy9T202Qsp4HZDXN5BqukoWL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\nALB27VrmzJnDihUriIqKIioqisWLF98Zn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| |
| "text": "<matplotlib.figure.Figure at 0xb179890>" | |
| } | |
| ], | |
| "prompt_number": 170 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "beta_posterior = pd.DataFrame([t_i['beta'] for t_i in trace[5000:10000:40]])", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 171 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "pred = pd.DataFrame(dict(x=[x_i for x_i in linspace(0,100,10) for y_i in linspace(0,100,10)],\n y=[y_i for x_i in linspace(0,100,10) for y_i in linspace(0,100,10)]))\nest_predicted_posterior = dot(bispline(pred.x, pred.y), beta_posterior.T)\n", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 172 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "pred.shape, beta_posterior.shape, bispline(pred.x, pred.y).shape", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "pyout", | |
| "prompt_number": 173, | |
| "text": "((100, 2), (125, 36), (100, 36))" | |
| } | |
| ], | |
| "prompt_number": 173 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "est_predicted_posterior.mean(1).shape", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "pyout", | |
| "prompt_number": 174, | |
| "text": "(100,)" | |
| } | |
| ], | |
| "prompt_number": 174 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "pred['z'] = est_predicted_posterior.mean(1)", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 175 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "figure(figsize=(12,5))\nfor x_low, x_high in reversed(zip(linspace(0,100,10)[:-1]-5, linspace(0,100,10)[1:]-5)):\n c = cm.spectral(.5*(x_low+x_high)/100.)\n data_x = data[(data.x >= x_low) & (data.x < x_high)]\n plot(data_x.y, data_x.z, 'o', color=c, ms=10, mec='w', alpha=.5,\n label='data in [%d, %d]'%(x_low, x_high))\n\n pred_x = pred[(pred.x >= x_low) & (pred.x < x_high)]\n plot(pred_x.y, pred_x.z, 's-', color=c, mec='w', linewidth=3, label='pred for %.2f'%(pred_x.x.unique()[0]))\n\nlegend(loc=(1.01,.01),fontsize=10)", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "pyout", | |
| "prompt_number": 201, | |
| "text": "<matplotlib.legend.Legend at 0xf8fba50>" | |
| }, | |
| { | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "png": 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QVR0By7vLVtnZaPn5uMkkKq7oc2okd28aRqhXGVRsQIVCaHn56L0K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V/Ox8ncSQ7phxBcgYAY4BL1Et4UfBNm2OQn4k8qr3FwOGGd4IR1gse0x7jZfzN3BO/get/1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| |
| "text": "<matplotlib.figure.Figure at 0xf12cb10>" | |
| } | |
| ], | |
| "prompt_number": 201 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": "# That is just lovely. What about the `bs(x)*bs(y)` approach?\n\nSomething broke when I reran everything... I hope I can generate the design matrix again." | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "Xp = patsy.dmatrix('bs(x,8)*bs(y,8)', data, return_type='dataframe')", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 205 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "# drop all columns with all zeros\nXp = Xp.ix[:,(Xp==0).mean() < .99]", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 212 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "import theano.tensor as T\n\nwith mc.Model():\n beta = mc.Flat('beta', shape=(len(Xp.columns),))\n z_est = T.dot(Xp, beta)\n z_data = mc.Normal('z', z_est, .01**-2, observed=data.z)\n \n \n start = mc.find_MAP()\n scaling = mc.scaling.guess_scaling(start)\n trace = mc.sample(10000, mc.HamiltonianMC(scaling=scaling), start=start)", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
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| } | |
| ], | |
| "prompt_number": 214 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "plot(trace.samples['beta'].value)\ntitle('Samples from beta posterior with HamiltonianMC');", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "png": 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QuLEv26MlUnFGCuq1kLi46cjJ+RUA4O6+BebmrVFSEoKMjM0YORJ49gA/AGbk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6q3+TQIVbEV/XvYRsQzZ8LQoSJBbJ1QBmjWMomn7zg0x9VVez1aY/NmpbnrVxWDmWuUr5YuBNHI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\nBjvssMMOO8zw/wAozs8hx+2zhAAAAABJRU5ErkJggg==\n", | |
| "text": "<matplotlib.figure.Figure at 0xe084e50>" | |
| } | |
| ], | |
| "prompt_number": 215 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "beta_posterior = pd.DataFrame([t_i['beta'] for t_i in trace[5000:10000:40]])\n\npred = pd.DataFrame(dict(x=[x_i for x_i in linspace(0,100,10) for y_i in linspace(0,100,10)],\n y=[y_i for x_i in linspace(0,100,10) for y_i in linspace(0,100,10)]))\nest_predicted_posterior = dot(patsy.dmatrix('bs(x,8)*bs(y,8)', pred), beta_posterior.T)\n\npred['z'] = est_predicted_posterior.mean(1)", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 218 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "figure(figsize=(12,5))\nfor x_low, x_high in reversed(zip(linspace(0,100,10)[:-1]-5, linspace(0,100,10)[1:]-5)):\n c = cm.spectral(.5*(x_low+x_high)/100.)\n data_x = data[(data.x >= x_low) & (data.x < x_high)]\n plot(data_x.y, data_x.z, 'o', color=c, ms=10, mec='w', alpha=.5,\n label='data in [%d, %d]'%(x_low, x_high))\n\n pred_x = pred[(pred.x >= x_low) & (pred.x < x_high)]\n plot(pred_x.y, pred_x.z, 's-', color=c, mec='w', linewidth=3, label='pred for %.2f'%(pred_x.x.unique()[0]))\n\nlegend(loc=(1.01,.01),fontsize=10)\ntitle('Version using patsy for design matrix')", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "pyout", | |
| "prompt_number": 219, | |
| "text": "<matplotlib.text.Text at 0xd7de4d0>" | |
| }, | |
| { | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "png": 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aSt++fQH4+9//DsAjjzxSbX6AESNGcPbsWSIiInjrrbfqdN3qQlPBOuZdYcGa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\njq9k60gdne+8iD21w/TmuunKH8J98UV2K0hcXM8q3cw6o5yGrpnMiB4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fhzZtqo1qMiqD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\n/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Tq0k43objcE/BGpe0EAmx0xORl9UDNqci3KRfR3z8TExGQg6UsJ9EDu10ZKSgrPPfcc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UNIXTLTDeRG/Ws44rgM+i9wovPnYHhoCZUVkWY2+Jez2VCJRWwM9yVEpBjB5jsSvtWKowWw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| |
| "text": "<matplotlib.figure.Figure at 0xa70a850>" | |
| } | |
| ], | |
| "prompt_number": 219 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": "## Important differences\n\nBesides the computation speed, which is relevant for this, there is a mysterious difference in mixing time under HamiltonianMC. So bispline is preferred." | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "!date", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "stream": "stdout", | |
| "text": "Fri Aug 23 12:07:59 PDT 2013\r\n" | |
| } | |
| ], | |
| "prompt_number": 220 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "%pastebin -d \"Compare approaches to bispline coef\" 2013_08_23_patsy_spline_prod_vs_scipy_bispl.ipynb", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 222 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": "", | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [] | |
| } | |
| ], | |
| "metadata": {} | |
| } | |
| ] | |
| } |
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