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@ignamv
Created March 6, 2014 17:50
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import scipy as sp\n",
"import scipy.optimize\n",
"import scipy.stats\n",
"from matplotlib import pyplot as plt\n",
"%matplotlib inline\n",
"from matplotlib.patches import Circle\n",
"\n",
"lado = 200\n",
"coords = sp.linspace(-5, 5, lado)\n",
"x, y = sp.meshgrid(coords, coords)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Hacemos imagen de una fuente puntual con un sistema \u00f3ptico, cuya PSF aproximamos con una gaussiana. Esto facilita las cuentas comparado con usar la funci\u00f3n de Airy exacta. Incorporando el ruido de fondo, esperamos una se\u00f1al de la forma $G(x, y) = B + A\\exp\\left[-\\frac{(x-x_0)^2+(y-y_0)^2}{2\\gamma^2}\\right]$. Para concentrarnos en el ajuste de $(x,y)$ tomamos $A$, $B$ y $\\gamma$ como sabidos."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"intensidadFondo = 5.\n",
"intensidadSenal = 8.\n",
"x0, y0 = 0., 0.\n",
"def psf(x, y):\n",
" return sp.exp(-x**2-y**2)\n",
"senalIdeal = intensidadFondo+intensidadSenal*psf(x-x0,y-y0)\n",
"plt.figure(figsize=(5,5))\n",
"plt.suptitle(u'Se\u00f1al ideal')\n",
"plt.imshow(-senalIdeal, extent=(coords[0],coords[-1],coords[0],coords[-1]), cmap='gray')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"<matplotlib.image.AxesImage at 0x5eb3a10>"
]
},
{
"metadata": {},
"output_type": "display_data",
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S4TLzRV58WZbXjsiyRGmgs0BmFcVKL7XtIULzHc+jMylBPs9FakVneZDC4vNS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\nKPg/fmVHi8+EjNIAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x4150b90>"
]
}
],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"La intensidad del ruido y de la PSF son procesos de Poisson[1] independientes. Por lo tanto su suma es tambi\u00e9n Poisson, y la varianza de la se\u00f1al en cada $(x,y)$ es igual a su valor medio.\n",
"\n",
"[1] Goodman, Joseph W. Statistical Optics. Wiley, 2000, pp. 466"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Cada pixel j de la muestra es una VA Poisson de par\u00e1metro lambda = senalIdeal(j)\n",
"muestra = sp.random.poisson(senalIdeal)\n",
"plt.figure(figsize=(5,5))\n",
"plt.suptitle(u'Muestra de la se\u00f1al')\n",
"plt.imshow(-muestra, extent=(coords[0],coords[-1],coords[0],coords[-1]), cmap='gray')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 16,
"text": [
"<matplotlib.image.AxesImage at 0x630af50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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UZYudrV6vm4eo0WgoHo+b7YCdgl2CFA3zIfk7sJyAtrKyonq9bqqS9I7aQuo6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\ni/VErP8FGu52cXQcNhEAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x41378d0>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Para obtener una posici\u00f3n a partir de los datos realizamos un ajuste por cuadrados m\u00ednimos. Esto significa que empleamos un algoritmo que busca $(x_0,y_0)$ que minimicen $$\\chi^2 = \\sum_j \\frac 1{\\sigma_j^2}(G_j-D_j)^2$$ con\n",
"\n",
"* $\\sigma_j^2$: la varianza de la se\u00f1al en el pixel $j$,\n",
"\n",
"* $G_j=G(x_j,y_j)$: nuestro modelo evaluado en el pixel $j$, y\n",
"\n",
"* $D_j$ la medici\u00f3n del pixel $j$.\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def chi2(X, datos, senalIdeal):\n",
" \"\"\"\n",
" Calcular los t\u00e9rminos de chi\u00b2 en funci\u00f3n de los par\u00e1metros [x0, y0] pasados en X\n",
" La funci\u00f3n de minimizaci\u00f3n se encarga de sumar sus cuadrados.\n",
" \"\"\"\n",
" x0, y0 = X\n",
" return (inv_desvest*(datos-intensidadFondo-intensidadSenal*sp.exp(-(x-x0)**2-(y-y0)**2))).flatten()\n",
"inv_desvest = senalIdeal**(-0.5)\n",
"x0, y0 = sp.optimize.leastsq(chi2, [0.,0.], (muestra, inv_desvest))[0]\n",
"print('(x,y) = ({}, {})'.format(x0,y0))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(x,y) = (-0.0201476764411, 0.00811635780334)\n"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Una vez ajustados los par\u00e1metros queremos un intervalo de confianza $1\\sigma$. Esto significa que el intervalo incluye los par\u00e1metros reales con probabilidad 0.683 (la probabilidad que una variable normal est\u00e9 a menos de $\\sigma$ de la media). \n",
"\n",
"Definimos $\\chi^2_{\\textrm{min}}$ como $\\chi^2$ evaluado en el verdadero centro de la PSF. Entonces tenemos que $\\Delta=\\chi^2-\\chi^2_{\\textrm{min}}$ sigue una distribuci\u00f3n chi cuadrado con tantos grados de libertad $\\nu$ como par\u00e1metros de ajuste [2]. En nuestro caso s\u00f3lo ajustamos $(x_0,y_0)$ as\u00ed que $\\nu=2$.\n",
"\n",
"Sabiendo la distribuci\u00f3n de $\\Delta$ calculamos para qu\u00e9 valor $\\Delta_a$ se cumple $P(0\\leq\\Delta\\leq\\Delta_a) = 0.683$.\n",
"\n",
"[2] M. Lampton, B. Margon, y S. Bowyer, \u00abParameter estimation in X-ray astronomy\u00bb, The Astrophysical Journal, vol. 208, pp. 177-190, ago. 1976.\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"distribucion = sp.stats.chi2(2)\n",
"sigma1 = sp.stats.norm.cdf(1)-sp.stats.norm.cdf(-1)\n",
"deltaA = distribucion.ppf(sigma1)\n",
"print(deltaA)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"2.2957489289\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Para convertir este intervalo para $\\Delta$ en un intervalo para los par\u00e1metros, expandimos $\\Delta$ alrededor de su m\u00ednimo:\n",
"$$\\Delta = \\sum_j \\frac 1 {\\sigma_j^2}\\left[\\left(\\frac{\\partial G_j}{\\partial x_0}\\right)^2_{x_{0,\\textrm{min}}}(x_0-x_{0,\\textrm{min}})^2+\\left(\\frac{\\partial G_j}{\\partial y_0}\\right)^2_{y_{0,\\textrm{min}}}(y_0-y_{0,\\textrm{min}})^2\\right]$$\n",
"La funci\u00f3n $G$ tiene simetr\u00eda rotacional, as\u00ed que la diferencia entre sumar \n",
"$\\left(\\frac{\\partial G_j}{\\partial x_0}\\right)^2$ \n",
"y sumar\n",
"$\\left(\\frac{\\partial G_j}{\\partial y_0}\\right)^2$\n",
"s\u00f3lo proviene del dominio en que estoy sumando, que recorta parte de la funci\u00f3n. \n",
"Para puntos lejanos al borde de la imagen, este recorte es insignificante y los t\u00e9rminos que multiplican a \n",
"$(x_0-x_{0,\\textrm{min}})^2$ y $(y_0-y_{0,\\textrm{min}})^2$ \n",
"son similares. Entonces tengo un c\u00edrculo de incertidumbre de radio \n",
"$$r^2=\\Delta_a\\left[\\sum_j \\frac 1 {\\sigma_j^2}\\left(\\frac{\\partial G_j}{\\partial x_0}\\right)^2_{x_{0,\\textrm{min}}}\\right]^{-1}$$\n",
"Esta ecuaci\u00f3n puede aproximarse anal\u00edticamente reemplazando la suma por una integral e incorporando un par\u00e1metro libre para ajustar a mano el comportamiento de $\\frac 1{\\sigma_j}=\\frac 1{B+A\\exp(...)}$. Para los fines de este ejercicio podemos evaluarla num\u00e9ricamente y luego compararla con los resultados de la simulaci\u00f3n Monte Carlo."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"derivadaX = 2.*(x0-x)*intensidadSenal*psf(x-x0,y-y0)\n",
"radio = sp.sqrt(deltaA/sp.sum((inv_desvest*derivadaX)**2))\n",
"radio"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 19,
"text": [
"0.021689277940319319"
]
}
],
"prompt_number": 19
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ahora ganamos confianza en el modelo simulando muchas im\u00e1genes del mismo sistema y verificando que el error del ajuste cumpla con las predicciones."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Nmuestras = 1000\n",
"ajuste = sp.empty((Nmuestras,2))\n",
"chis = sp.empty((Nmuestras))\n",
"chi0 = sp.empty((Nmuestras))\n",
"for nn in range(Nmuestras):\n",
" muestra = sp.random.poisson(senalIdeal)\n",
" inicial = sp.random.uniform(size=2)\n",
" # Guardo el ajuste de cada muestra\n",
" ajuste[nn,:],_,info,_,_ = sp.optimize.leastsq(chi2, inicial, (muestra, inv_desvest), full_output=1)\n",
" # Y el valor de chi\u00b2\n",
" chis[nn] = sp.sum(info['fvec']**2)\n",
" # Chi\u00b2 evaluado en el centro real de la PSF\n",
" chi0[nn] = sp.sum((muestra-senalIdeal)**2/senalIdeal)\n",
"error = ajuste"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 27
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(12,12))\n",
"# Error de los ajustes y disco de confianza\n",
"ax = fig.add_subplot(2,2,1)\n",
"ax.plot(error[:,0],error[:,1],'.')\n",
"ax.add_patch(Circle((0.,0.), radio, fill=False, lw=2, label='Disco de confianza $1\\sigma$'))\n",
"ax.set_xlabel('Error $x$')\n",
"ax.set_xlim((-radio*2,radio*2))\n",
"ax.set_ylabel('Error $y$')\n",
"ax.set_ylim((-radio*2,radio*2))\n",
"ax.legend()\n",
"# Histograma\n",
"ax = fig.add_subplot(2,2,2)\n",
"error2 = sp.sum(error**2, axis=1)\n",
"deltas = chi0-chis\n",
"bins = ax.hist(deltas, fill=False, normed=True, hatch='/', label='Observado')[1]\n",
"t = sp.linspace(0, max(deltas), 200)\n",
"ax.plot(t, distribucion.pdf(t), color='g', label='Esperado')\n",
"ax.set_xlabel('$\\Delta$')\n",
"ax.set_ylabel('Frecuencia relativa')\n",
"ax.legend()\n",
"# Gr\u00e1fico Q-Q\n",
"ax = fig.add_subplot(2,2,3)\n",
"ordenado = sp.sort(deltas)\n",
"cuantiles = sp.linspace(0, 1, len(ordenado))\n",
"esperado = distribucion.ppf(cuantiles)\n",
"recorte = 10 # Hay pocos puntos en las colas, no las grafico\n",
"ax.plot([ordenado[recorte],ordenado[-recorte]], [ordenado[recorte],ordenado[-recorte]], '--', color='g', label='Esperado')\n",
"ax.plot(esperado[recorte:-recorte], ordenado[recorte:-recorte], '-x', color='k', label='Observado')\n",
"ax.set_ylabel('Cuantiles observados')\n",
"ax.set_xlabel('Cuantiles esperados')\n",
"ax.legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 31,
"text": [
"<matplotlib.legend.Legend at 0x88621d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
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mAOgmRxpTtWpVpKamlvu+SpUqWLx4scljzp49q3uv0WiwfPlys/XOnDkTM2fOLPd99erV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8JVCc+3GqEg56+eR7d53fCy7mW0KGzhtPAOxO8Ow3gaDjuphgcghmF8lUAcv5RqsyNh7Kr4VjMU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\nfIuIiIiI+InCt4iIiIiIn/wfkkiBXJDWoTYAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x78af710>"
]
}
],
"prompt_number": 31
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Los tres gr\u00e1ficos indican una distribuci\u00f3n cercana a la esperada. Adem\u00e1s, el disco de confianza contiene casi la proporci\u00f3n esperada de puntos:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"proporcionAdentro = 1.*sp.sum(sp.sum(ajuste**2,axis=1) < radio**2)/Nmuestras\n",
"proporcionAdentro"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 29,
"text": [
"0.65600000000000003"
]
}
],
"prompt_number": 29
}
],
"metadata": {}
}
]
}
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