{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": true, "input": [ "from pylab import *\n", "%matplotlib inline\n", "import statsmodels.api as sm\n", "from scipy.optimize import curve_fit\n", "\n", "# nastavitve za izris grafov (http://matplotlib.org/1.3.1/users/customizing.html)\n", "rc('text', usetex=True)\n", "rc('font', size=12, family='serif', serif=['Computer Modern'])\n", "rc('xtick', labelsize='small')\n", "rc('ytick', labelsize='small')\n", "rc('legend', fontsize='medium')\n", "rc('figure', figsize=(5, 3))\n", "rc('lines', linewidth=2.0)\n", "rc('axes', color_cycle=['k'])\n", "rc('contour', negative_linestyle='solid')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 46 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Nelinearna regresija" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pri prej\u0161nji temi smo si pogledali, kako poi\u0161\u010demo linearno kombinacijo funkcij $y(x)=\\sum_i c_i f_i(x)$, ki najbolje opi\u0161e podatke $(x_i, y_i, \\epsilon_i)$. Podobno postopamo, \u010de parametri $c_i$ v modelski funkciji nastopajo nelinearno. Minimiziramo namre\u010d izraz \n", "\n", "$$\\chi^2=\\sum\\left(\\frac{y_i-f(c_1,c_2,c_3\\ldots, x_i)}{\\epsilon_i}\\right)^2=\\mathrm{min}.$$\n", "\n", "Pri tem je treba paziti, da, za razliko od linearne regresije, pri nelinearni regresiji ni garancije, da ima izraz $\\chi^2$ en sam minimum. Lahko se pojavi ve\u010d lokalnih minimumov. Za razli\u010dne za\u010detne pribli\u017eke za parametre $c_i$, ki jih pri nelinearni regresiji moramo podati, lahko rutina vrne razli\u010dne krivulje, odvisno pa\u010d, v katerega od lokalnih minimumov je postopek skonvergiral." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Poglejmo si razliko med linearno in nelinearno regresijo na primeru. Na sliki (a) gre prilagajanje premice $y=kx+n$. Na sliki (b) vidimo, da ima $\\chi^2(k, n)$ en sam minimum. Na sliki (c) prilagajamo podatkom funkcijo $y=2\\cos(kx)+n$. $\\chi^2(k, n)$, prikazan na sliki (d), ima ve\u010d lokalnih minimumov. \u010ce rutini za nelinearno regresijo predlagamo, da za\u010dne minimum iskati pri $(k, n)=(0.1, 6)$, najde lokalni minimum pri $k\\approx 0$, \u010de pa predlagamo $(k, n)=(0.7, 8)$, pa najde globalni minimum pri $k\\approx 0.5$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ((axa, axb), (axc, axd)) = subplots(2, 2, figsize=(10, 7))\n", "\n", "podatki=loadtxt('anscombe.dat')\n", "x1=podatki[:, 0]\n", "y1=podatki[:, 1]\n", "x=arange(3, 20.5, 0.5)\n", "fit1=sm.OLS(y1, sm.add_constant(x1, prepend=True)).fit()\n", "f1=lambda x: fit1.params[0] + fit1.params[1] * x\n", "axa.plot(x1, y1, 'ko');\n", "axa.plot(x, f1(x), 'r');\n", "axa.grid(alpha=0.5)\n", "axa.annotate('(a)', xy=(0.03, 0.92), xycoords='axes fraction')\n", "axa.set_xlim([3, 15])\n", "axa.set_ylim([0, 12])\n", "axa.set_xlabel(r'$x$')\n", "axa.set_ylabel(r'$y$')\n", "axa.legend(['podatki', \n", " r'$y=kx+n$' + '\\n' + r'$k=' + '%.2f' % fit1.params[1] + r'$, ' + r'$n=' + '%.2f' % fit1.params[0] + r'$'], loc=4); \n", " \n", "def chi2(k, n):\n", " return log(sum((y1 - k * x1 - n) ** 2))\n", "k=arange(-0.5, 1.5, 0.02)\n", "n=arange(-2.0, 8.05, 0.05)\n", "K, N=meshgrid(k, n)\n", "chi2=frompyfunc(chi2, 2, 1)\n", "Z=chi2(K, N)\n", "axb.contourf(K, N, Z, cmap=\"RdBu_r\")\n", "axb.annotate('(b)', xy=(0.03, 0.92), xycoords='axes fraction')\n", "p=axb.contour(K, N, Z, colors='k', linewidths=1.0)\n", "clabel(p, inline=1, fmt='%.1f');\n", "axb.set_xlim([-0.5, 1.5])\n", "axb.set_ylim([-2, 8])\n", "axb.set_xlabel(r'$k$')\n", "axb.set_ylabel(r'$n$')\n", "\n", "axc.plot(x1, y1, 'ko');\n", "axc.grid(alpha=0.5)\n", "axc.annotate('(c)', xy=(0.03, 0.92), xycoords='axes fraction')\n", "axc.set_xlim([3, 15])\n", "axc.set_ylim([0, 12])\n", "axc.set_xlabel(r'$x$')\n", "axc.set_ylabel(r'$y$')\n", "\n", "def func(x, k, n):\n", " return 2 * cos(k * x) + n\n", "params1, cov=curve_fit(func, x1, y1, p0=(0.1, 6.0))\n", "f=lambda x: 2 * cos(params1[0] * x) + params1[1]\n", "axc.plot(x, f(x), 'r')\n", "params2, cov=curve_fit(func, x1, y1, p0=(0.7, 8.0))\n", "f=lambda x: 2 * cos(params2[0] * x) + params2[1]\n", "axc.plot(x, f(x), 'b')\n", "axc.legend(['podatki', \n", " r'$y=2\\cos{kx}+n$' + '\\n' + r'$k=' + '%.2f' % params1[0] + r'$, ' + r'$n=' + '%.2f' % params1[1] + r'$',\n", " r'$y=2\\cos{kx}+n$' + '\\n' + r'$k=' + '%.2f' % params2[0] + r'$, ' + r'$n=' + '%.2f' % params2[1] + r'$'], loc=4);\n", "\n", "def chi2(k, n): \n", " return log(sum((y1 - 2 * cos(k * x1) - n) ** 2))\n", "k=arange(-1.0, 1.01, 0.01)\n", "n=arange(4.0, 10.55, 0.05)\n", "K, N=meshgrid(k, n)\n", "chi2=frompyfunc(chi2, 2, 1)\n", "Z=chi2(K, N)\n", "axd.contourf(K, N, Z, cmap=\"RdBu_r\")\n", "axd.annotate('(d)', xy=(0.03, 0.92), xycoords='axes fraction')\n", "p=axd.contour(K, N, Z, colors='k', linewidths=1.0)\n", "clabel(p, inline=1, fmt='%.1f');\n", "axd.set_xlim([-1.0, 1.0])\n", "axd.set_ylim([4, 10.5])\n", "axd.set_xlabel(r'$k$')\n", "axd.set_ylabel(r'$n$')\n", "\n", "subplots_adjust(hspace=0.25, wspace=0.15)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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YcrmcoDnjePbsGZs3bxZ9uzgzM5POLRqR38qCJSM/P7iWnYz/fSoHIh6zqU1D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\ngLtpiuO7NXb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yYjOzvVpST1+95Pf3Wrjx5aZdlFSylOrh6kDC+YtybS2aCElMSpYtTbVu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\nB7/bVEoWa1eXoPNUW0zxB2q3vgv9Iw/53eZ2u2Hrvo6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"text": [ "" ] } ], "prompt_number": 93 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Poglejmo si \u0161e, kako poi\u0161\u010demo najbolj\u0161o eksponentno funkcijo $y=Ae^{-\\lambda x}$ za podatke na grafu (a) spodaj. Pri prej\u0161nji temi smo podatke $y_i$ najprej logaritmirali in nato poiskali najbolj\u0161o premico $\\ln{y}=\\ln(A)-\\lambda x,$ graf (b). Iz koeficientov te premice smo prebrali $A$ in $\\lambda$ in narisali ustrezno eksponentno funkcijo (c, rde\u010da \u010drta). S pomo\u010djo nelinearne regresije se lahko vmesnim korakom izognemo in podatkom prilagodimo kar nelinearno odvisnost $y=Ae^{-\\lambda x}$ (c, modra \u010drta). " ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ((axa, axb, axc)) = subplots(3, 1, figsize=(5, 9), sharex='col', sharey='row')\n", "axa.set_xlim([0, 10])\n", "axa.set_ylim([0, 200])\n", "axb.set_ylim([1, 6])\n", "axc.set_ylim([0, 200])\n", "axa.set_ylabel(r'$y$')\n", "axb.set_ylabel(r'$\\ln{y}$')\n", "axc.set_ylabel(r'$y$')\n", "axc.set_xlabel(r'$x$')\n", "\n", "N=50\n", "x=linspace(0, 10, N)\n", "y=exp(log(200.0 * exp(-0.3 * x)) + np.random.normal(0, 0.05, N))\n", "\n", "axa.plot(x, y, 'ko')\n", "axa.legend(['podatki'])\n", "axa.annotate('(a)', xy=(0.03, 0.05), xycoords='axes fraction')\n", "\n", "axb.plot(x, log(y), 'ko')\n", "fit=sm.OLS(log(y), sm.add_constant(x, prepend=True)).fit()\n", "f=lambda x: fit.params[0] + fit.params[1] * x\n", "axb.plot(x, f(x), 'r')\n", "axb.legend(['podatki', r'$\\ln{y}=\\ln{A}-\\lambda x$'])\n", "axb.annotate('(b)', xy=(0.03, 0.05), xycoords='axes fraction')\n", "\n", "axc.plot(x, y, 'ko')\n", "axc.plot(x, exp(f(x)), 'r')\n", "axc.annotate('(c)', xy=(0.03, 0.05), xycoords='axes fraction')\n", "\n", "def func(x, A, lam):\n", " return A * exp(-lam * x)\n", "params, cov=curve_fit(func, x, y, p0=(100.0, -1.0))\n", "f=lambda x: params[0] * exp(-params[1] * x)\n", "axc.plot(x, f(x), 'b--')\n", "\n", "axc.legend(['podatki', \n", " r'$y=Ae^{-\\lambda x}$ (lin.)' + '\\n' + r'$A=' + '%.3g' % exp(fit.params[0]) + r'$, ' + r'$\\lambda=' + '%.3g' % -fit.params[1] + r'$', \n", " r'$y=Ae^{-\\lambda x}$ (nelin.)' + '\\n' + r'$A=' + '%.3g' % params[0] + r'$, ' + r'$\\lambda=' + '%.3g' % params[1] + r'$']);\n", "\n", "subplots_adjust(hspace=0.075, wspace=0.05)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ycuoFq2it0qKioqgBL9ZAKEucRCJIwg6REvNblNEsJlP8/CQhoc9Dg+mrr74adYmTBE0R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\nY2NYLBbsdjsQOODNYrHQ2NgYljXMYDBoGdgXuo+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"text": [ "" ] } ], "prompt_number": 67 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Naloge" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
    \n", "
  1. Teorija kemijske kinetike napove za sigmoidno krivuljo iz podatkov adrenalin.dat naslednjo odvisnost $F/F_\\textrm{max}=c/(a+c)$, kjer pomeni $a$ koncentracijo s polovi\u010dnim maksimalnim u\u010dinkom. S pomo\u010djo nelinearne regresije dolo\u010di koeficienta $F_\\textrm{max}$ in $a$. Primerjaj z rezultati naloge 7.2.\n", "\n", "
  2. V datoteki RefractiveIndex.txt so zbrane meritve lomnega koli\u010dnika nekega materiala v odvisnosti od valovne dol\u017eine pri razli\u010dnih temperaturah. Odvisnost lomnega koli\u010dnika $n$ od valovne dol\u017eine $\\lambda$ opisuje Sellmeierjeva formula\n", "\n", "$$n(\\lambda)^2-1=\\sum_{i=1}^{N}\\frac{S_i}{1-\\left(\\frac{\\lambda_i}{\\lambda}\\right)^2},$$\n", "\n", "kjer so $\\lambda_i$ valovne dol\u017eine elektronskih prehodov v opazovanem materialu, $S_i$ pa pripadajo\u010de\n", "ute\u017ei. Z nelinearno regresijo dolo\u010di $\\lambda_i$ in $S_i$ (a) ob predpostavki, da meritev lahko opi\u0161emo z enim samim elektronskim prehodom ($N=1$) in (b) ob predpostavki, da lahko meritev opi\u0161emo z dvema takima prehodoma ($N=2$). Nari\u0161i temperaturno odvisnost valovnih dol\u017ein $\\lambda_i$ in ute\u017ei $S_i$.\n", "
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