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Supernovae Fitting

Supernova Fitting

See the attached notebook in nbviewer

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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Visualizing Cosmological Constraints with Supernovae"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We need a model of the magnitude as a function of redshift.\n",
"\n",
"For a cosmological model, we could use a lambda-CDM distance modulus $\\mu$, which effectively gives\n",
"\n",
"$$\n",
"M(z; M_0, w, \\Omega_M) = M_0 + \\mu(z; w, \\Omega_M)\n",
"$$\n",
"\n",
"This means that the likelihood is\n",
"\n",
"$$\n",
"\\log L(M_0, \\Omega_M, w) \\propto - \\sum_i \\frac{[M_i - M_0 - \\mu(z_i;w, \\Omega_M)]^2}{2\\sigma_i^2}\n",
"$$\n",
"\n",
"where $(z_i, M_i)$ are the data points used for the fit, and $(M_0, \\Omega_M, w)$ are the model parameters.\n",
"\n",
"We can then maximize this likelihood with respect to $w$, while marginalizing over $M_0$ and $\\Omega_M$ subject to flat priors and find the posterior distribution in $w$.\n",
"\n",
"Because the distance modulus takes so long to compute, let's start out with a simple polynomial fit to $\\log(z)$:\n",
"\n",
"$$\n",
"M(z; \\theta_0, \\theta_1, \\theta_2) = \\theta_0 + \\theta_1\\log(z) + \\theta_2 [\\log(z)]^2\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's first import the data:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"z, mag = np.loadtxt('sne.txt').T\n",
"dmag = 1.0"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First we define our likelihood function:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"z, mag = np.loadtxt('sne.txt').T\n",
"\n",
"if False:\n",
" # real cosmology fit. Note that this takes ~200us per evaluation,\n",
" # which for 10000 points becomes ~2s per likelihood evaluation\n",
" from astropy import cosmology\n",
" theta_guess = [20, 0.3, -1]\n",
"\n",
" def lnprior(theta):\n",
" M0, Om0, w = theta\n",
" if (0.0 <= Om0 <= 1.0) and (-2 <= w <= 0):\n",
" return 0.0\n",
" else:\n",
" return -np.inf\n",
" \n",
" def compute_mag_single(theta, z):\n",
" M0, Om0, w = theta\n",
" cosmo = cosmology.FlatwCDM(H0=70, Om0=Om0, w0=w)\n",
" return M0 - cosmo.distmod(z)\n",
"\n",
" def lnlike(theta, z, mag, dmag):\n",
" M0, Om0, w = theta\n",
" cosmo = cosmology.FlatwCDM(H0=70, Om0=Om0, w0=w)\n",
" return -0.5 * np.sum(((mag - M0 - cosmo.distmod(z)) * 1.0 / dmag) ** 2)\n",
"\n",
"else:\n",
" # simpler model: a degree-2 polynomial\n",
" theta_guess = np.polyfit(np.log(z), mag, 2)\n",
" \n",
" def lnprior(theta):\n",
" return 0.0\n",
" \n",
" def compute_mag_single(theta, z):\n",
" return np.polyval(theta, np.log(z))\n",
" \n",
"def compute_mag(theta, z):\n",
" thetas = np.atleast_2d(theta)\n",
" mag = np.array([compute_mag_single(t, z) for t in thetas])\n",
" return mag.reshape(theta.shape[:-1] + z.shape)\n",
"\n",
"def lnlike(theta, z, mag, dmag):\n",
" return -0.5 * np.sum(((mag - compute_mag_single(theta, z)) * 1.0 / dmag) ** 2)\n",
"\n",
"def lnprob(theta, z, mag, dmag):\n",
" return lnprior(theta) + lnlike(theta, z, mag, dmag)\n",
"\n",
"def chi2(theta, z, mag, dmag):\n",
" return -2 * lnprob(theta, z, mag, dmag)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next we do a simple $\\chi^2$ minimization to find the optimum:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from scipy import optimize\n",
"z, mag = np.loadtxt('sne.txt').T\n",
"dmag = 0.5\n",
"\n",
"theta_best = optimize.fmin(chi2, theta_guess, args=(z, mag, dmag))\n",
"print(theta_best)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Optimization terminated successfully.\n",
" Current function value: 951.749205\n",
" Iterations: 43\n",
" Function evaluations: 79\n",
"[ 0.0955759 2.76563849 24.93284035]\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's set up the ``emcee`` package to solve this problem:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import emcee\n",
"ndim = len(theta_best)\n",
"nwalkers = 50\n",
"pos = np.array(theta_best) + 1E-4 * np.random.randn(nwalkers, ndim)\n",
"sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob, args=(z, mag, dmag))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we'll run the MCMC sampler"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from time import time\n",
"t0 = time()\n",
"sampler.run_mcmc(pos, 200, rstate0=np.random.get_state())\n",
"print(\"finished in %.1f sec\" % (time() - t0))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"finished in 3.5 sec\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sampler.chain.shape"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": [
"(50, 200, 3)"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's take a look at the marginalized histograms of each parameter:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"burnin = 50\n",
"chain = sampler.chain[:, burnin:, :]\n",
"fig, ax = plt.subplots(ndim, ndim, figsize=(10, 10), sharex='col', sharey='row')\n",
"for i in range(ndim):\n",
" for j in range(ndim):\n",
" ax[i, ndim - 1 - j].plot(chain[:, :, j], chain[:, :, i], 'ok', ms=2, alpha=0.05)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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wkEwmsdlsuFwu/H6/2HK5MBemnGb15XA/lsMYJJcmm81y4sQJTp48STKZJJ/P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OT+yQ6HA7Vajdfr5dZbb8VmsxGLxQgGgwu+EEARZhcQJ684MpkMqVSKV155ha6uLvR6PQaDgaKi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\njDHGGHMR/w8Ab9l1lLO3WQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1062819d0>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looks like a nice multivariate normal. Let's cheat and use a Gaussian mixture model with a single component to find a quick fit for this distribution:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.mixture import GMM\n",
"gmm = GMM(1, 'full')\n",
"gmm.fit(chain.reshape(-1, 3))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 9,
"text": [
"GMM(covariance_type='full', init_params='wmc', min_covar=0.001,\n",
" n_components=1, n_init=1, n_iter=100, params='wmc', random_state=None,\n",
" thresh=0.01)"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we have a nice posterior model that we can sample from:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"gmm.sample(100, random_state=0).shape"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"(100, 3)"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Plotting Draws from the Model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we need a single function which uses everything above to compute a sample given a set of data."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def draw_sample_from_model(z, mag, dmag, N, nwalkers=50, nsamples=200, burnin=50, quiet=False):\n",
" \"\"\"Draw a sample of N points from the model trained on z and mag\"\"\"\n",
" theta_best = optimize.fmin(chi2, theta_guess, args=(z, mag, dmag), disp=not quiet)\n",
" ndim = len(theta_best)\n",
" pos = np.array(theta_best) + 1E-4 * np.random.randn(nwalkers, ndim)\n",
" sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob, args=(z, mag, dmag))\n",
" \n",
" if not quiet:\n",
" print(\"Running MCMC:\")\n",
" t0 = time()\n",
" sampler.run_mcmc(pos, nsamples, rstate0=np.random.get_state())\n",
" if not quiet:\n",
" print(\"finished in %.1f sec\" % (time() - t0))\n",
" \n",
" chain = sampler.chain[:, burnin:, :]\n",
" gmm = GMM(1, 'full')\n",
" gmm.fit(chain.reshape(-1, 3))\n",
" \n",
" return gmm.sample(N, random_state=0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"z, mag = np.loadtxt('sne.txt').T\n",
"dmag = 2.0\n",
"\n",
"def plot_results(Ndata, Nlines=50, dmag=0.5, ax=None):\n",
" sample = draw_sample_from_model(z[:Ndata], mag[:Ndata], dmag, Nlines, quiet=True)\n",
" zfit = np.logspace(-1, 0, 10)\n",
" \n",
" # come up with some transparency gradient based on number of points\n",
" alpha = min(0.3, 0.01 * 10000. / Ndata)\n",
" size = 7\n",
" \n",
" if ax is None:\n",
" ax = plt.gca()\n",
" \n",
" ax.semilogx(zfit, compute_mag(sample, zfit).T, '-b', alpha=0.1, zorder=3)\n",
" ax.semilogx(z[:Ndata], mag[:Ndata], 'ok', ms=size, alpha=alpha, zorder=2)\n",
"\n",
" ax.set_xlim(0.1, 1)\n",
" ax.set_ylim(19, 26)\n",
"\n",
" ax.set_xlabel('redshift')\n",
" ax.set_ylabel('magnitude')\n",
" \n",
" ax.text(0.01, 0.99, \"N = {0}\".format(Ndata),\n",
" size=18, ha='left', va='top',\n",
" transform=ax.transAxes)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for Npts in [10, 100, 1000, 13000]:\n",
" plt.figure(figsize=(8, 6))\n",
" plot_results(Npts, 50)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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dDaDInzhhztPbK8QFg5xfXPhOJ79vrTY/gC4SmV+zXZCNR7PJsUIhFXRFURTl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TAAAg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\nrlrNPp8K1VgWyNx1Q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d5P2NwUZzAYQt0EIiKiAddf+Rc2gT5q1KgeU6k2NjbCYrGEsEVE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\nItIBBjoREZEOMNCJiIh04P8g6kpSDEK05AAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x109799b10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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cOXj8cVl69sEPyrrxl16Ssey6Ovm3vPXoxIS8tnmzFHiZmJBWeSwmS8o6OuS1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"text": [
"<matplotlib.figure.Figure at 0x10c26d050>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Sy/I4eXKdkyfLzM7awBS63sPzmiiKQrVaZXJyEtM0efnll4fBfnl709vR1vRW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\nSUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10c175090>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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/W27MLLkCdbBTPfnlZJBkI1wyNT/4d1wpIuiCIAjCETEoZsqaFQ40v6nGNvWY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\nowAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10c1db510>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Animating the Results"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from matplotlib import animation\n",
"\n",
"# enables automatic display of matplotlib animations\n",
"from JSAnimation import IPython_display\n",
"\n",
"\n",
"class AnimateResults(object):\n",
" def __init__(self, z, mag, dmag, Nframes=30, interval=200):\n",
" self.z = z\n",
" self.mag = mag\n",
" self.dmag = dmag\n",
" self.N = np.logspace(1, 4.11, Nframes).astype(int)\n",
" self.zfit = np.logspace(-1, 0, 10)\n",
" self.interval = interval\n",
" \n",
" self.points_alpha = np.linspace(0.5, 0.05, len(self.N))\n",
" self.lines_alpha = np.linspace(0.1, 0.5, len(self.N))\n",
" \n",
" self.fig, self.ax = plt.subplots(figsize=(8, 6))\n",
" self.ax.set_xscale('log')\n",
" \n",
" def anim_init(self):\n",
" # Here we set up the plot elements that we'll work with\n",
" self.points, = self.ax.plot([1], [1], 'ok', ms=7, alpha=0.1)\n",
" self.lines = self.ax.plot([1], np.ones((1, 50)), '-b', alpha=0.1)\n",
"\n",
" self.ax.set_xlim(0.1, 1)\n",
" self.ax.set_ylim(19, 26)\n",
"\n",
" self.ax.set_xlabel('redshift')\n",
" self.ax.set_ylabel('magnitude')\n",
" \n",
" self.text = self.ax.text(0.01, 0.99, \"\",\n",
" size=18, ha='left', va='top',\n",
" transform=self.ax.transAxes)\n",
" \n",
" for line in self.lines:\n",
" line.set_data([], [])\n",
" self.points.set_data([], [])\n",
" return self.lines + [self.points, self.text]\n",
" \n",
" def anim_frame(self, i):\n",
" Ni = self.N[i]\n",
" zi = self.z[:Ni]\n",
" magi = self.mag[:Ni]\n",
" sample = draw_sample_from_model(zi, magi, self.dmag, 50, quiet=True)\n",
" mag_fit = compute_mag(sample, self.zfit)\n",
" for line, mfit in zip(self.lines, mag_fit):\n",
" line.set_data(self.zfit, mfit)\n",
" line.set_alpha(self.lines_alpha[i])\n",
" self.points.set_data(zi, magi)\n",
" self.points.set_alpha(self.points_alpha[i])\n",
" self.text.set_text(\"N = {0}\".format(Ni))\n",
" return self.lines + [self.points, self.text]\n",
" \n",
" def show(self):\n",
" return animation.FuncAnimation(self.fig, self.anim_frame, init_func=self.anim_init,\n",
" frames=len(self.N), interval=self.interval)\n",
"\n",
" \n",
"z, mag = np.loadtxt('sne.txt').T\n",
"dmag = 0.5\n",
"anim = AnimateResults(z, mag, dmag)\n",
"anim.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"\n",
"<script language=\"javascript\">\n",
" /* Define the Animation class */\n",
" function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
" this.img_id = img_id;\n",
" this.slider_id = slider_id;\n",
" this.loop_select_id = loop_select_id;\n",
" this.interval = interval;\n",
" this.current_frame = 0;\n",
" this.direction = 0;\n",
" this.timer = null;\n",
" this.frames = new Array(frames.length);\n",
"\n",
" for (var i=0; i<frames.length; i++)\n",
" {\n",
" this.frames[i] = new Image();\n",
" this.frames[i].src = frames[i];\n",
" }\n",
" document.getElementById(this.slider_id).max = this.frames.length - 1;\n",
" this.set_frame(this.current_frame);\n",
" }\n",
"\n",
" Animation.prototype.get_loop_state = function(){\n",
" var button_group = document[this.loop_select_id].state;\n",
" for (var i = 0; i < button_group.length; i++) {\n",
" var button = button_group[i];\n",
" if (button.checked) {\n",
" return button.value;\n",
" }\n",
" }\n",
" return undefined;\n",
" }\n",
"\n",
" Animation.prototype.set_frame = function(frame){\n",
" this.current_frame = frame;\n",
" document.getElementById(this.img_id).src = this.frames[this.current_frame].src;\n",
" document.getElementById(this.slider_id).value = this.current_frame;\n",
" }\n",
"\n",
" Animation.prototype.next_frame = function()\n",
" {\n",
" this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
" }\n",
"\n",
" Animation.prototype.previous_frame = function()\n",
" {\n",
" this.set_frame(Math.max(0, this.current_frame - 1));\n",
" }\n",
"\n",
" Animation.prototype.first_frame = function()\n",
" {\n",
" this.set_frame(0);\n",
" }\n",
"\n",
" Animation.prototype.last_frame = function()\n",
" {\n",
" this.set_frame(this.frames.length - 1);\n",
" } \n",
"\n",
" Animation.prototype.slower = function()\n",
" {\n",
" this.interval /= 0.7;\n",
" if(this.direction > 0){this.play_animation();}\n",
" else if(this.direction < 0){this.reverse_animation();}\n",
" }\n",
"\n",
" Animation.prototype.faster = function()\n",
" {\n",
" this.interval *= 0.7;\n",
" if(this.direction > 0){this.play_animation();}\n",
" else if(this.direction < 0){this.reverse_animation();}\n",
" }\n",
"\n",
" Animation.prototype.anim_step_forward = function()\n",
" {\n",
" this.current_frame += 1;\n",
" if(this.current_frame < this.frames.length){\n",
" this.set_frame(this.current_frame);\n",
" }else{\n",
" var loop_state = this.get_loop_state();\n",
" if(loop_state == \"loop\"){\n",
" this.first_frame();\n",
" }else if(loop_state == \"reflect\"){\n",
" this.last_frame();\n",
" this.reverse_animation();\n",
" }else{\n",
" this.pause_animation();\n",
" this.last_frame();\n",
" }\n",
" }\n",
" }\n",
"\n",
" Animation.prototype.anim_step_reverse = function()\n",
" {\n",
" this.current_frame -= 1;\n",
" if(this.current_frame >= 0){\n",
" this.set_frame(this.current_frame);\n",
" }else{\n",
" var loop_state = this.get_loop_state();\n",
" if(loop_state == \"loop\"){\n",
" this.last_frame();\n",
" }else if(loop_state == \"reflect\"){\n",
" this.first_frame();\n",
" this.play_animation();\n",
" }else{\n",
" this.pause_animation();\n",
" this.first_frame();\n",
" }\n",
" }\n",
" }\n",
"\n",
" Animation.prototype.pause_animation = function()\n",
" {\n",
" this.direction = 0;\n",
" if (this.timer){\n",
" clearInterval(this.timer);\n",
" this.timer = null;\n",
" }\n",
" }\n",
"\n",
" Animation.prototype.play_animation = function()\n",
" {\n",
" this.pause_animation();\n",
" this.direction = 1;\n",
" var t = this;\n",
" if (!this.timer) this.timer = setInterval(function(){t.anim_step_forward();}, this.interval);\n",
" }\n",
"\n",
" Animation.prototype.reverse_animation = function()\n",
" {\n",
" this.pause_animation();\n",
" this.direction = -1;\n",
" var t = this;\n",
" if (!this.timer) this.timer = setInterval(function(){t.anim_step_reverse();}, this.interval);\n",
" }\n",
"</script>\n",
"\n",
"<div class=\"animation\" align=\"center\">\n",
" <img id=\"_anim_imgZUSZGLFBTKANQXHX\">\n",
" <br>\n",
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" </form>\n",
"</div>\n",
"\n",
"\n",
"<script language=\"javascript\">\n",
" /* Instantiate the Animation class. */\n",
" /* The IDs given should match those used in the template above. */\n",
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