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@Tillsten
Last active December 14, 2015 08:28
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{
"metadata": {
"name": "SVD on data with a peak-shift"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": "%pylab inline",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "\nWelcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\nFor more information, type 'help(pylab)'.\n"
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Defining the data\n-----------------\nWe just look at simple lorentzian Peak."
},
{
"cell_type": "code",
"collapsed": false,
"input": "def lorentz(x, A, xc, w):\n return A/(1+((x-xc)/w)**2)\n\nx = np.linspace(-1, 1, 100)\nplot(x, lorentz(x, 1, 0, 0.1))\ntitle('The peak');",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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79u1rFO5EcqqoAPz9gYAAz7wfW+6kdi773FNSUlBcXIzS0lLYbDasXr0aaWlpTuvcfffd\n+O6772C323Hp0iXk5+dj8ODBshZNdD1P9rcD7HMn9XPZcvf19cWSJUswbtw42O12TJs2DbGxscjK\nygIAzJw5EzExMRg/fjwSEhLg4+ODGTNmMNzJ4zw1DNIhJAS4cEEs3bp57n2JWssgSZIk+5sYDPDA\n25AX+8tfgLNngcWLPfeesbHA//4vEBfnufck79Ke7OQVqqQLnm65A5yGgNSN4U664KmpBxriBGKk\nZgx30gW23ImcMdxJ82prxT1N+/f37Puy5U5qxnAnzTtxAujVC+jSxbPvy5Y7qRnDnTRPif52gC13\nUjeGO2ne0aOe728HgKAg4No1oKrK8+9N1BKGO2nekSPAwIGef1+DAYiOFu9PpDYMd9I8pcIdEO/L\ncCc1YriT5h0+rNxNMwYNEu9PpDYMd9K02lqguFi5ljvDndSK4U6aZrWKYZCemur3egx3UiuGO2ma\nkl0ygDihWlwsvkEQqQnDnTRNyZOpgPjG0KsXUFamXA1ETWG4k6Yp3XIH2DVD6sRwJ01juBM1jeFO\nmqaGcB84kOFO6sNwJ826fBn47Tdl5pVpaNAgXshE6sNwJ80qLgYiI4EOHZStg90ypEYMd9Ksw4eV\nHSnjYDYDFRXimwSRWjDcSbPU0N8OiG8OkZHimwSRWjDcSbPUEu4AT6qS+jDcSbOOHFFPuPOkKqkN\nw500SZLU1XLnSVVSG4Y7adJvv4m+7qAgpSsRGO6kNgx30iQ1tdqB+j53SVK6EiKB4U6apKb+dgAI\nDhbfJE6dUroSIoHhTpqktpY7wK4ZUheGO2kSw53INYY7adL//R8QF6d0Fc7i40VdRGrAcCfNqaoC\nKiuBqCilK3GWlATs3at0FUQCw500Z98+ICEB8FHZ0ZuYKGrjiBlSA5V9PIhatmePaCWrTXCwuO1e\nSYnSlRAx3EmD9u5VZ7gD7Joh9WC4k+bs3QskJytdRdOSkxnupA4Md9IUm01cwKS2kTIObLmTWrQY\n7rm5uYiJiUF0dDQWLVrU7HqFhYXw9fXFF1984dYCiRoqKhJzp3fponQlTWO4k1q4DHe73Y7Zs2cj\nNzcXRUVFWLlyJQ4ePNjkenPnzsX48eMhcagAyUitJ1MdzGbg3Dng9GmlKyFv5zLcCwoKEBUVBbPZ\nDD8/P6SnpyM7O7vRem+99Rb+8Ic/oHfv3rIVSgSou78dEMMz2XonNfB19WJ5eTnCwsLqnptMJuTn\n5zdaJzs7G9988w0KCwthMBia3Na8efPqHlssFlgslrZXTV5r714gLU3pKlxzhPvttytdCWlNXl4e\n8vLy3LItl+HeXFA39Mwzz2DhwoUwGAyQJKnZbpmG4U7UFpIkLhJKTFS6EteSkoBvvlG6CtKi6xu+\nmZmZbd6Wy3A3Go2wWq11z61WK0wmk9M6u3btQnp6OgCgsrISGzZsgJ+fH9LU3rwizSkpERcJBQcr\nXYlrSUnAG28oXQV5O5fhnpKSguLiYpSWlqJfv35YvXo1Vq5c6bTO0aNH6x5nZGRgwoQJDHaShZov\nXmpo8GDg6FHg8mX1juoh/XN5QtXX1xdLlizBuHHjMHjwYDzwwAOIjY1FVlYWsrKyPFUjEQD1n0x1\n6NRJ3Jnpp5+UroS8mUHywNhFR388UXukpQGPPgpMmqR0JS179FFgxAhg+nSlKyEta0928gpV0gy1\nj3FvKClJ1EukFIY7aUJlJXD+vLhISAsY7qQ0hjtpwg8/ADffrL453JvzH/8B7N8PXL2qdCXkrTTy\nUSFv9+23wMiRSlfRegEBQEwMUFiodCXkrRjupAlaC3dA1Pvtt0pXQd6K4U6qd+mS6OIYNkzpSm4M\nw52UxHAn1SsoEPdM9fdXupIbM2IE8P33gN2udCXkjRjupHpa7JIBgD59gL59gQMHlK6EvBHDnVTv\n229FK1iLRoxg1wwpg+FOqnbtGrBzJ3DrrUpX0jbsdyelMNxJ1fbuBcLDgaAgpStpG0e4c/YN8jSG\nO6maVvvbHSIiAINBzBJJ5EkMd1I1rYe7wcCuGVIGw51US5KA777TdrgDDHdSBsOdVOvwYTG2vcFt\nfDWJ4U5KYLiTamm9S8YhPh44dQo4eVLpSsibMNxJtTZtAm67Tekq2s/HB7BYgK+/VroS8iYMd1Il\nm02E4V13KV2Je0yYAHz1ldJVkDdhuJMqbdsGxMaKS/j14K67xDcRm03pSshbMNxJldauFfdM1YuQ\nEPHLats2pSshb8FwJ9WRJNGFMWGC0pW4F7tmyJMY7qQ6Bw6Ii3/i4pSuxL0mTBDfSDgVAXkCw51U\n56uvRJeMwaB0Je4VHy/+TZwCmDyB4U6qs3at/rpkABHs7JohT2G4k6pUVIgrU0eNUroSeTi6Zojk\nxnAnVVm/Hhg7FujYUelK5DF6NHDokPglRiQnhjupiqO/Xa86dgTuuEP8EiOSE8OdVOPcOWDrViA1\nVelK5DVxIvDpp0pXQXrHcCfVWL0aGDMGCAxUuhJ5TZwIFBQAVqvSlZCeMdxJNT78EHjsMaWrkJ+/\nP3D//cCyZUpXQnrGcCdVKCoSLdk77lC6Es/IyACWLuUFTSQfhjupwtKlwCOPAL6+SlfiGTffDHTq\nxJt4kHwY7qS4mhrgk09Ea9ZbGAz1rXciOTDcSXE5OUBUFDBwoNKVeNbDDwNffglUVytdCekRw50U\nt3Spd5xIvV5IiLhDE4dFkhxaDPfc3FzExMQgOjoaixYtavT6v/71LyQmJiIhIQG33nor9u/fL0uh\npE8VFUBeHnDffUpXooyMDDFKiMjdXIa73W7H7NmzkZubi6KiIqxcuRIHDx50WicyMhLbt2/H/v37\n8corr+Dxxx+XtWDSl3/8QwwLDAhQuhJlpKYCx48DhYVKV0J64zLcCwoKEBUVBbPZDD8/P6SnpyM7\nO9tpneHDh6NHjx4AgGHDhqGsrEy+aklXzp8H3n4b+NOflK5EOX5+wH/+J/CXvyhdCemNy4Fn5eXl\nCAsLq3tuMpmQn5/f7PoffPABUpu5dnzevHl1jy0WCywWy41VSrrz7rtiXHtUlNKVKGvGDGDBAjHW\nf/BgpashJeXl5SEvL88t23IZ7oYbuFvC1q1b8eGHH2LHjh1Nvt4w3IkuXwbefFPcNNrb+fsDTz8t\nWu+ffKJ0NaSk6xu+mZmZbd6Wy3A3Go2wNpgAw2q1wmQyNVpv//79mDFjBnJzc9GrV682F0Pe48MP\nxYU8Q4YoXYk6zJoFDBgAHD0KREYqXQ3pgcs+95SUFBQXF6O0tBQ2mw2rV69G2nXzsR4/fhyTJk3C\n8uXLEeXt36+pVWpqgMWLgRdfVLoS9ejRA5g5U+wXIncwSJLr2S02bNiAZ555Bna7HdOmTcOLL76I\nrKwsAMDMmTMxffp0fPnllwgPDwcA+Pn5oaCgwPlNDAa08DbkRT76SHQ/bNmidCXqcuoUMGiQuMdq\nv35KV0Nq0J7sbDHc3YHhTg6XLomThsuW6fdWeu3x/PPA2bPAP/+pdCWkBgx30ozXXhP3SF21SulK\n1OncOSA2FlizRpyTIO/GcCdNOHpUBNbevUAT5+Xp35YtA956C8jPB3w4QYhXa0928tAhj3n2WeC5\n5xjsLZkyRdxrldMSUHuw5U4ekZMjxnIfOCDmMSfX9uwBxo8HDh7U/20HqXnsliFVu3wZSEgA/v53\n4M47la5GO556Styp6Z13lK6ElMJwJ1V78klxonDFCqUr0ZazZ4GkJDH/zl13KV0NKaE92eklNzUj\npXz+uZhiYM8epSvRnl69gOXLxXTIu3dz7DvdGLbcSTbHjonRMV99xWF97fHnP4s577/+GujQQelq\nyJM4WoZU59o14KGHxHS2DPb2+a//AmprgSbulUPULLbcSRbPPitGeuTkcKy2O5SVASkpYgz8HXco\nXQ15ClvupCr/8z+iC2HlSga7u5hM4vzFlCmi/52oJfzokVutWiXmad+wQZwQJPe59VZxg5MJE4CS\nEqWrIbXjaBlym7w8YM4cMdtjgxt4kRtNmgScOCEucNqxAwgOVroiUiu23Mkttm4VN7petYo34JDb\n7NnAvfcCY8YAFRVKV0NqxXCndsvOBh54APjsM+C225SuxjvMnw/ccw8wcqQYckp0PXbLULssWwbM\nnStGxaSkKF2N9zAYxPTJPXuKgN+4UUwVTOTAcKc2qa0VF9d8+CHwzTcMFqU8/bQ4cW2xiLtbcZgk\nOXCcO92wM2fEkLyLF4HVq4G+fZWuiLZtAx58UNxo+8UXOQRVLzjOnTxm1y7R/RIbC2zezGBXi9Gj\ngcJC0T02caL4BUzejeFOrXL1KvDyy2LK3oULgTfeAPz8lK6KGjIaxailqCggPh748kulKyIlsVuG\nWpSfDzz2GDBwoJh+NjRU6YqoJd99J/7PkpPFLfv69FG6ImoLdsuQLMrLgYwM4O67gVdfBb74gsGu\nFSNGAPv2AeHhQFyc+KZ19arSVZEnMdypkQsXgMxMcfekkBDg8GExjt1gULoyuhFdugD//d/A9u3i\n6uHBg8W1CLW1SldGnsBuGapz5gywZIlYxowBFiwAzGalqyJ32bIF+NOfAJsNeOklcUUx54dXN3bL\nULscPSrmXY+OFhNSffutuCUeg11fbr8d+PFHYPFi4B//AGJixDmU8+eVrozkwHD3UteuiTskpaaK\nm2lIkphKdulSYNAgpasjuRgMYsTTd98BH3wgRteYzeJm3Pv3K10duRO7ZbyII8A/+URM8GU2A088\nIfrTu3RRujpSSnk58M9/iiUoSFygNnky79mqBu3JToa7ztntwM6dwJo1YpEk8eF96CHRDUPkUFsr\nTr4uXy5GRsXFiQu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}
],
"prompt_number": 48
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Defining the shift-function.\n----------------------------\nThe peak shift is depended on correlation function and\nhas a quite complex form. Here we use a single\nexponential shift, which is simpler than a real\ncase. See Ernsting for more."
},
{
"cell_type": "code",
"collapsed": false,
"input": "def shift_func(t, start, stop, tau=3): \n return (start-stop)*np.exp(-t/tau)+(stop)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 49
},
{
"cell_type": "code",
"collapsed": false,
"input": "\n\n\n",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "(100L, 40L)\n"
}
],
"prompt_number": 41
},
{
"cell_type": "code",
"collapsed": false,
"input": "t = np.linspace(0, 10, 40)\nplot(t, shift_func(t, -.1, .2))\ntitle('Definded shift')\nxlabel('time') \nylabel('x$_c$');",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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UrevyXyciUqVYGiqrV69m9OjRAIwePZpVq1Zdt09KSgrBwcEEBQXh6+vLiBEj\nSExMdDzv7t67KVMgJgbuvNOtv1ZEpEqwdO2vo0eP4u/vD4C/vz9Hjx69bp/s7GwCAwMdj+12O1u3\nbnU8njt3LosXLyYiIoLZs2fjd4OlgeOu6quKiooiKiqq3PV+/jmsXw979pT7UBERj5acnExycnKl\nz+PyUImOjiY3N/e6n7/yyivFHttsNmw223X7lfSzy8aPH89LL70EwIsvvsjkyZNZuHBhifvGVXIA\n5Nw5c0n7d96BRo0qdSoREY9z7R/b06dPr9B5XB4q69evv+Fz/v7+5Obm0qpVK44cOULLli2v2ycg\nIICsrCzH46ysLOx2O0Cx/R977DGGDBnixMqLe/FF6NsX7r3XZb9CRKTKs3RMJSYmhkWLFgGwaNEi\nhg4det0+ERERpKenk5GRQUFBAQkJCcTExABw5MgRx34rV66kS5cuLqlzzx5YsgRef90lpxcR8RqW\nzlPJy8tj+PDhZGZmEhQUxPLly/Hz8yMnJ4fY2FjWrl0LwCeffMLTTz9NUVERY8eOZdq0aQCMGjWK\nnTt3YrPZaNeuHfPnz3eM0VytMvNUDAPuugtGjoTx4yv+WkVEqhJNfixFZULl/fdh9mxISYEaNZxc\nmIiIh1KolKKib87p0xAWBh9+CL17u6AwEREPpVApRUXfnClTIC8P3n3XBUWJiHgwhUopKvLmpKWZ\nYyl790IJF6WJiHi1Krn2l6cyDHjqKXjpJQWKiEh5KFRKsGIFHD+uq71ERMpL3V/XOHvWHJx//33o\n18/FhYmIeCiNqZSiPG/O1Knm3Rz/+U8XFyUi4sEUKqUo65vz/ffmUiy7d0Pr1m4oTETEQ2mgvpIM\nAyZOhP/5HwWKiEhFKVT+z8qVZrfXhAlWVyIiUnWp+wvIzzcH5xctggrcZkVExOuo+6sSZs+GO+5Q\noIiIVFa1b6kcPQrh4bBtG9x6q5sLExHxULr6qxSlvTm//z3UqgVvvOHmokREPFhFQ8XSe9Rb7fvv\nYfly+O47qysREfEO1XpMZdo0+MMfoFkzqysREfEO1balsmkTbN8OS5daXYmIiPeoli0VwzBbKH/6\nE9Sta3U1IiLeo1qGykcfmXNTHn7Y6kpERLxLtbv66+JF8xLit96C6GiLCxMR8VCa/FhGf/ubOR9F\ngSIi4nzVqqVy+jR06ABJSdC9u9VViYh4LrVUyuDPf4ZBgxQoIiKuYmmo5OXlER0dTYcOHRg4cCCn\nTp0qcb/P7f6TAAAJWUlEQVRHH30Uf39/unTpUqHjwVyB+O234Y9/dOpLEBGRq1gaKrNmzSI6Opr9\n+/fTv39/Zs2aVeJ+Y8aMISkpqcLHA7z8MsTGQtu2TitfRESuYemYSmhoKF9++SX+/v7k5uYSFRXF\ndzdYMyUjI4MhQ4awZ8+ech9vs9lo0cJg/37w83PZyxER8RpVcu2vo0eP4u/vD4C/vz9Hjx512fG3\n3RbHm2+a30dFRRGlde5FRBySk5NJTk6u9HlcHirR0dHk5uZe9/NXXnml2GObzYbNZqvw77nZ8YmJ\ncdSuXeHTi4h4tWv/2J4+fXqFzuPyUFm/fv0Nn7vcbdWqVSuOHDlCy5Yty3Xu8hyvQBERcT1LB+pj\nYmJYtGgRAIsWLWLo0KFuPV5ERJzL0oH6vLw8hg8fTmZmJkFBQSxfvhw/Pz9ycnKIjY1l7dq1AIwc\nOZIvv/ySEydO0LJlS2bMmMGYMWNuePy1KjrgJCJSXenOj6VQqIiIlI9m1IuIiOUUKiIi4jQKFRER\ncRqFioiIOI1CRUREnEahIiIiTqNQERERp1GoiIiI0yhURETEaRQqIiLiNAoVERFxGoWKiIg4jUJF\nREScRqEiIiJOo1ARERGnUaiIiIjTKFRERMRpFCoiIuI0ChUREXEahYqIiDiNQkVERJxGoSIiIk6j\nUKlmkpOTrS7BY+i9uELvhUnvQ+VZGip5eXlER0fToUMHBg4cyKlTp0rc79FHH8Xf358uXboU+3lc\nXBx2u50ePXrQo0cPkpKS3FF2lab/NFfovbhC74VJ70PlWRoqs2bNIjo6mv3799O/f39mzZpV4n5j\nxowpMTBsNhvPPvssqamppKamcs8997i6ZBERKYWlobJ69WpGjx4NwOjRo1m1alWJ+/Xr148mTZqU\n+JxhGC6rT0REysmwkJ+fn+P7S5cuFXt8rUOHDhmdO3cu9rO4uDjjlltuMbp27Wo8+uijxsmTJ0s8\nFtCmTZs2beXcKqImLhYdHU1ubu51P3/llVeKPbbZbNhstnKde/z48bz00ksAvPjii0yePJmFCxde\nt5+h1oyIiFu4PFTWr19/w+f8/f3Jzc2lVatWHDlyhJYtW5br3Ffv/9hjjzFkyJAK1ykiIpVn6ZhK\nTEwMixYtAmDRokUMHTq0XMcfOXLE8f3KlSuvuzpMRETcy2ZY2DeUl5fH8OHDyczMJCgoiOXLl+Pn\n50dOTg6xsbGsXbsWgJEjR/Lll19y4sQJWrZsyYwZMxgzZgyjRo1i586d2Gw22rVrx/z58/H397fq\n5YiISIVGYqqQTz75xOjYsaMRHBxszJo1y+pyLJOZmWlERUUZ4eHhRqdOnYw5c+ZYXZKlCgsLje7d\nuxv33Xef1aVY7uTJk8YDDzxghIaGGmFhYcbXX39tdUmWmDlzphEeHm507tzZGDlypHH+/HmrS3Kr\nMWPGGC1btix2QdSJEyeMAQMGGCEhIUZ0dPQNL4a6mlfPqC8qKmLChAkkJSWRlpbGsmXL2Ldvn9Vl\nWcLX15c33niDvXv3smXLFv76179W2/cCYM6cOYSHh5f74hBvNGnSJAYPHsy+ffvYvXs3YWFhVpfk\ndhkZGSxYsIAdO3awZ88eioqK+OCDD6wuy61Kmg9Y1rmEV/PqUElJSSE4OJigoCB8fX0ZMWIEiYmJ\nVpdliVatWtG9e3cAGjRoQFhYGDk5ORZXZY3Dhw+zbt06HnvssWp/ZeDPP//MV199xaOPPgpAzZo1\nady4scVVuV+jRo3w9fUlPz+fwsJC8vPzCQgIsLostyppPmBZ5xJezatDJTs7m8DAQMdju91Odna2\nhRV5hoyMDFJTU+nVq5fVpVjimWee4bXXXsPHx6v/+ZfJoUOHaNGiBWPGjOG2224jNjaW/Px8q8ty\nu6ZNmzJ58mTatm1LmzZt8PPzY8CAAVaXZbmjR486xqn9/f05evToTY/x6v9V6tq43tmzZ3nwwQeZ\nM2cODRo0sLoct1uzZg0tW7akR48e1b6VAlBYWMiOHTt48skn2bFjB/Xr1y9TF4e3OXjwIG+++SYZ\nGRnk5ORw9uxZli5danVZHqWscwm9OlQCAgLIyspyPM7KysJut1tYkbUuXrzIAw88wG9/+9tyX77t\nLTZv3szq1atp164dI0eO5IsvvmDUqFFWl2UZu92O3W4nMjISgAcffJAdO3ZYXJX7bd++nV/96lc0\na9aMmjVrMmzYMDZv3mx1WZa7PJcQKPNcQq8OlYiICNLT08nIyKCgoICEhARiYmKsLssShmEwduxY\nwsPDefrpp60uxzIzZ84kKyuLQ4cO8cEHH/DrX/+axYsXW12WZVq1akVgYCD79+8HYMOGDXTq1Mni\nqtwvNDSULVu28Msvv2AYBhs2bCA8PNzqsixXobmErro8zVOsW7fO6NChg9G+fXtj5syZVpdjma++\n+sqw2WxGt27djO7duxvdu3c3PvnkE6vLslRycrIxZMgQq8uw3M6dO42IiAija9euxv3332+cOnXK\n6pIsER8f77ikeNSoUUZBQYHVJbnViBEjjNatWxu+vr6G3W433n33XePEiRNG//79y3VJsaWTH0VE\nxLt4dfeXiIi4l0JFREScRqEiIiJOo1ARERGnUaiIuMDPP//M22+/DZjX9z/00EMWVyTiHrr6S8QF\nMjIyGDJkCHv27LG6FBG3cvmdH0Wqo6lTp3Lw4EF69OhBSEgI+/btY8+ePfzjH/9g1apV5Ofnk56e\nzuTJkzl//jzvv/8+tWvXZt26dTRp0oSDBw8yYcIEjh07Rr169ViwYAEdO3a0+mWJ3JS6v0RcID4+\nnvbt25Oamsprr71W7Lm9e/eycuVKtm3bxgsvvECjRo3YsWMHvXv3dszuf/zxx5k7dy7bt2/ntdde\n48knn7TiZYiUm1oqIi5wda/ytT3Md999N/Xr16d+/fr4+fkxZMgQALp06cLu3bs5d+4cmzdvLjYO\nU1BQ4J7CRSpJoSLiZrVr13Z87+Pj43js4+NDYWEhly5dokmTJqSmplpVokiFqftLxAUaNmzImTNn\nynXM5RZNw4YNadeuHR9++KHj57t373Z6jSKuoFARcYFmzZrRp08funTpwnPPPee4D8W196S49vvL\nj5cuXcrChQvp3r07nTt3ZvXq1e59ASIVpEuKRUTEadRSERERp1GoiIiI0yhURETEaRQqIiLiNAoV\nERFxGoWKiIg4zf8H05m4KTXDSmoAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 61
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Generate the data:\nd = lorentz(x[:,None], 1, shift_func(t, -.1, .2)[None, :], .1)\nplot(x, d);",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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D7iUT/hbM3FX6+TTnlRKG6RS314xaixAMNpGkHRpLMezzPKFRnJwcYD5zUu+p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qum38AdiEHcDfxiBgZg82ZYvfp638ZLG1kRukJq/Iwl03qyFTM/M8y8zGhs3IatbSIKhTObNm1i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\n4eIOxCXuLly4cHEH8v8AqEocIvTGZLQAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 62
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Applying SVD\n------------"
},
{
"cell_type": "code",
"collapsed": false,
"input": "u, s, v = np.linalg.svd(d)\nplot(log(s), 'o')",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 79,
"text": "[<matplotlib.lines.Line2D at 0xbd204e0>]"
},
{
"output_type": "display_data",
"png": 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}
],
"prompt_number": 79
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Now with noise:"
},
{
"cell_type": "code",
"collapsed": false,
"input": "dn = d + np.random.randn(*d.shape) * 0.02\nplot(x, dn);",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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8i5jSQM+GAdDii87QII/iUrSTb5hFndEz3Kgn5Pwp7rONPK1fofr4cUZqM0TH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\nx9F5Rx5eTvDO9/gBtmzZQnl5OXl5bmoNYtYlXfL58/IIrq8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vvbwBrnMCwh/gb8KBA0L9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\n4VcoFIo3jFL4FQqF4g3zP296aUC9ih2iAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 71
},
{
"cell_type": "code",
"collapsed": false,
"input": "u, s, v = np.linalg.svd(dn)\nplot(log(s), 'o')",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 107,
"text": "[<matplotlib.lines.Line2D at 0xdf8c898>]"
},
{
"output_type": "display_data",
"png": 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}
],
"prompt_number": 107
},
{
"cell_type": "markdown",
"metadata": {},
"source": "First SVD components\n--------------------"
},
{
"cell_type": "code",
"collapsed": false,
"input": "plot(x, u[:, :5]);\nlegend(arange(5))",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 115,
"text": "<matplotlib.legend.Legend at 0xda2e2b0>"
},
{
"output_type": "display_data",
"png": 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NCC48ioqK+PLLL6mpqcFsNrNt2za+/vprbr311nM+thB+wQXNqqwsZoeEAGC2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\nOc34fxxf9LvFCp4JAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 115
},
{
"cell_type": "code",
"collapsed": false,
"input": "plot(t, v[:5, :].T);",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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N10cfZQJE5uQw56fWrWPqsFhMmFwLXwuIS8TDd3TiBDOS7NypxTvUDV87X5xe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\nQgjRh0jSF0KIPkSSvhBC9CH/C3/onga4YG2iAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 113
},
{
"cell_type": "markdown",
"metadata": {},
"source": "How would a lifemap look like?"
},
{
"cell_type": "code",
"collapsed": false,
"input": "import sklearn.linear_model as lm\ntaus = np.logspace(log(0.1), log(30), 30)\nbase = np.exp(-t[:, None]/taus[None,:])",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 119
},
{
"cell_type": "code",
"collapsed": false,
"input": "lasso = lm.LassoCV(max_iter = 1e5)\nlasso.fit(base, dn.T)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 124,
"text": "LassoCV(alphas=None, copy_X=True, cv=None, eps=0.001, fit_intercept=True,\n max_iter=100000.0, n_alphas=100, normalize=False, precompute='auto',\n tol=0.0001, verbose=False)"
}
],
"prompt_number": 124
},
{
"cell_type": "code",
"collapsed": false,
"input": "contourf(x, taus, lasso.coef_.T)\nyscale('log')",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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}
],
"prompt_number": 131
},
{
"cell_type": "code",
"collapsed": false,
"input": "",
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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