{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MCMC & why 3d matters\n",
    "This example (although quite artificial) shows that viewing a posterior (ok, I have flat priors) in 3d can be quite useful. While the 2d projection may look quite 'bad', the 3d volume rendering shows that much of the volume is empty, and the posterior is much better defined than it seems in 2d."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pylab\n",
    "import scipy.optimize as op\n",
    "import emcee\n",
    "import numpy as np\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# our 'blackbox' 3 parameter model which is highly degenerate\n",
    "def f_model(x, a, b, c):\n",
    "    return x * np.sqrt(a**2 +b**2 + c**2) + a*x**2 + b*x**3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x10d7b35c0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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NzKxgZQeWEyLisebjvwNOyDgugG9J2ilp/TzONzOzMRl5jkXSt4CXddn179qf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\nBxYzMyuUA4uZmRXq/wMnMDwpfnWFmAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d788c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 100\n",
    "a_true, b_true, c_true = -1., 2., 1.5\n",
    "\n",
    "# our input and output\n",
    "x = np.random.rand(N)*0.5#+0.5\n",
    "y = f_model(x, a_true, b_true, c_true)\n",
    "\n",
    "# + some (known) gaussian noise\n",
    "error = 0.2\n",
    "y += np.random.normal(0, error, N)\n",
    "\n",
    "# and plot our data\n",
    "pylab.scatter(x, y);\n",
    "pylab.xlabel(\"$x$\")\n",
    "pylab.ylabel(\"$y$\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "estimates 1.74022905195 -1.23351935318 -1.68793098984e-05\n",
      "true values -1.0 2.0 1.5\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "'Optimization terminated successfully.'"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# our likelihood\n",
    "def lnlike(theta, x, y, error):\n",
    "    a, b, c = theta\n",
    "    model =  f_model(x, a, b, c)\n",
    "    chisq = 0.5*(np.sum((y-model)**2/error**2))\n",
    "    return -chisq\n",
    "result = op.minimize(lambda *args: -lnlike(*args), [a_true, b_true, c_true], args=(x, y, error))\n",
    "# find the max likelihood\n",
    "a_ml, b_ml, c_ml = result[\"x\"]\n",
    "print(\"estimates\", a_ml, b_ml, c_ml)\n",
    "print(\"true values\", a_true, b_true, c_true)\n",
    "result[\"message\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# do the mcmc walk\n",
    "ndim, nwalkers = 3, 100\n",
    "pos = [result[\"x\"] + np.random.randn(ndim)*0.1 for i in range(nwalkers)]\n",
    "sampler = emcee.EnsembleSampler(nwalkers, ndim, lnlike, args=(x, y, error))\n",
    "sampler.run_mcmc(pos, 1500);\n",
    "samples = sampler.chain[:, 50:, :].reshape((-1, ndim))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Posterior in 2d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QUVFBZWXldR8VFRUcOHCAHj16MGjQIFq0aEH9+vVxdnbGx8cHnU6HTqejZcuW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i35+fmMGzeODRs2EBMTw/Xr1/n2228xMzNjxowZDBgwgKioKOm1rVq14syZMzg4ODBkyBD69u3L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\nUyk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LGKhwdXUVjJTCf77W6H5NTU28vLyA+jRtRUUFAQEBnD9/nlOnTpGWlsZnn332xMej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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d788710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the 2d pdfs\n",
    "import corner\n",
    "fig = corner.corner(samples, labels=[\"$a$\", \"$b$\", \"$c$\"],\n",
    "                      truths=[a_true, b_true, c_true])"
   ]
  },
  {
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   "metadata": {},
   "source": [
    "## Posterior in 3d"
   ]
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   "cell_type": "code",
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    "import vaex\n",
    "import scipy.ndimage\n",
    "import ipyvolume"
   ]
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   "execution_count": 10,
   "metadata": {
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    "ds = vaex.from_arrays(a=samples[...,0].copy(), b=samples[...,1].copy(), c=samples[...,2].copy())\n",
    "# get 2d histogram\n",
    "v = ds.count(binby=[\"a\", \"b\", \"c\"], shape=64)\n",
    "# smooth it for visual pleasure\n",
    "v = scipy.ndimage.gaussian_filter(v, 2)"
   ]
  },
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   "execution_count": 11,
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       "model_id": "71df3bc1db634b31ae95e5ddce9086c2",
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       "A Jupyter Widget"
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    "Note that actually a large part of the volume is empty."
   ]
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