{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "bd0e6e1d-7ae9-49f8-a92e-83ee2e490773",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import emcee\n",
    "import corner\n",
    "nthreads = 2 # for emcee"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5ed04bd5-c157-4242-8082-142d9eba40a4",
   "metadata": {},
   "source": [
    "Using emcee to fit data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2b478992-6260-48c7-8828-469ba8846bff",
   "metadata": {},
   "outputs": [],
   "source": [
    "# define our true relation\n",
    "m_true = 1.7\n",
    "b_true = 2.7\n",
    "f_true = 0.2\n",
    "\n",
    "# generate some data\n",
    "np.random.seed(12)\n",
    "N = 30\n",
    "x = np.sort(10*np.random.rand(N))\n",
    "yerr = 0.2+0.4*np.random.rand(N)\n",
    "\n",
    "y = m_true*x+b_true\n",
    "y += np.abs(f_true*y) * np.random.randn(N)\n",
    "\n",
    "y += yerr * np.random.randn(N)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "876beb75-6542-42a6-96b7-49a3764cbb88",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(1, 1, 1)\n",
    "ax.errorbar(x, y,\n",
    "            yerr=yerr,\n",
    "            ls='',\n",
    "            marker='.',\n",
    "            color='gray',\n",
    "            label='Data')\n",
    "ax.plot(x, m_true*x + b_true,\n",
    "        color='black',\n",
    "        ls='-',\n",
    "        label='True Relation')\n",
    "ax.set_ylabel('y', fontsize='x-large')\n",
    "ax.set_xlabel('x', fontsize='x-large')\n",
    "ax.minorticks_on()\n",
    "ax.legend(loc='best');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "70c6066c-0a06-4723-987e-9a191ed0a7e0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Least squares fitting result:\n",
      "slope: 1.60\n",
      "y-intercept: 3.18\n"
     ]
    }
   ],
   "source": [
    "A = np.vstack((np.ones_like(x), x)).T\n",
    "C = np.diag(yerr * yerr)\n",
    "cov = np.linalg.inv(np.dot(A.T, np.linalg.solve(C, A)))\n",
    "b_ls, m_ls = np.dot(cov, np.dot(A.T, np.linalg.solve(C, y)))\n",
    "print('Least squares fitting result:')\n",
    "print('slope: {0:1.2f}'.format(m_ls))\n",
    "print('y-intercept: {0:1.2f}'.format(b_ls))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4d78a352-aca1-47f0-bb07-fcb6764d9e2d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(1, 1, 1)\n",
    "ax.errorbar(x, y,\n",
    "            yerr=yerr,\n",
    "            ls='',\n",
    "            marker='.',\n",
    "            color='gray',\n",
    "            label='Data')\n",
    "ax.plot(x, m_true*x + b_true,\n",
    "        color='black',\n",
    "        ls='-',\n",
    "        label='True Relation')\n",
    "ax.plot(x, m_ls * x + b_ls,\n",
    "        color='red',\n",
    "        ls=':',\n",
    "        label='Least Squares')\n",
    "ax.set_ylabel('y', fontsize='x-large')\n",
    "ax.set_xlabel('x', fontsize='x-large')\n",
    "ax.minorticks_on()\n",
    "ax.legend(loc='best');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "39f1cce9-073d-4808-91b5-57487f1924ae",
   "metadata": {},
   "outputs": [],
   "source": [
    "# define a likelihood function.\n",
    "\n",
    "import scipy.optimize as op\n",
    "\n",
    "def lnlike(theta, x, y, yerr):\n",
    "    b, m, lnf = theta\n",
    "    model = m * x + b\n",
    "    inv_sigma2 = 1.0/(yerr**2 + model**2*np.exp(2*lnf))\n",
    "    return -0.5*(np.sum((y-model)**2*inv_sigma2 - np.log(inv_sigma2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "6199c187-88f0-4cd3-bbd2-f789172dc86f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum likelihood result:\n",
      "slope: 1.60\n",
      "y-intercept: 3.12\n",
      "ln(f): -1.62\n"
     ]
    }
   ],
   "source": [
    "# let's make some initial guesses for our parameters\n",
    "# remember this is now theta and b_perp\n",
    "p2 = [b_ls, m_ls, f_true]\n",
    "nll = lambda *args: -lnlike(*args)\n",
    "result = op.minimize(nll,\n",
    "                     p2,\n",
    "                     args=(x, y, yerr))\n",
    "if not(result['success']):\n",
    "    print(\"Max likelihood failed.\")\n",
    "    print(result['message'])\n",
    "\n",
    "ml_b, ml_m, ml_f = result['x']\n",
    "print(\"Maximum likelihood result:\")\n",
    "print(\"slope: {0:1.2f}\".format(ml_m))\n",
    "print(\"y-intercept: {0:1.2f}\".format(ml_b))\n",
    "print(\"ln(f): {0:1.2f}\".format(ml_f))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d61f495f-56e2-44e7-b6e1-d4575bed1c1d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(1, 1, 1)\n",
    "ax.errorbar(x, y,\n",
    "            yerr=yerr,\n",
    "            ls='',\n",
    "            marker='.',\n",
    "            color='gray',\n",
    "            label='Data')\n",
    "ax.plot(x, m_true*x + b_true,\n",
    "        color='black',\n",
    "        ls='-',\n",
    "        label='True Relation')\n",
    "ax.plot(x, m_ls * x + b_ls,\n",
    "        color='red',\n",
    "        ls=':',\n",
    "        label='Least Squares')\n",
    "ax.plot(x, ml_m * x + ml_b,\n",
    "        color='blue',\n",
    "        ls='--',\n",
    "        label='Max likelihood')\n",
    "ax.set_ylabel('y', fontsize='x-large')\n",
    "ax.set_xlabel('x', fontsize='x-large')\n",
    "ax.minorticks_on()\n",
    "ax.legend(loc='best');"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e387d18-785d-45dc-8e43-1917121e6820",
   "metadata": {},
   "source": [
    "What about the errors? This is where MCMC comes in. But we need to add some priors for the parameters and use those priors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "8edff156-aac8-4d37-8538-8329bfafe213",
   "metadata": {},
   "outputs": [],
   "source": [
    "def lnprior(theta):\n",
    "    b, m, lnf = theta\n",
    "    if lnf >= 0.0:\n",
    "        return -np.inf\n",
    "    return 0.0\n",
    "    \n",
    "def lnprob(theta, x, y, yerr):\n",
    "    lp = lnprior(theta)\n",
    "    if not np.isfinite(lp):\n",
    "        return -np.inf\n",
    "    return lp + lnlike(theta, x, y, yerr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "2993417b-7f56-4e92-b09b-9e0b779a56ea",
   "metadata": {},
   "outputs": [],
   "source": [
    "# now let's set up the MCMC chains\n",
    "ndim = 3\n",
    "nwalkers = 1000\n",
    "steps = 500\n",
    "\n",
    "# initialize the walkers to the vicinity of the parameters derived from\n",
    "# ML\n",
    "pos = [result[\"x\"] + 1e-3*np.random.randn(ndim) for i in range(nwalkers)]\n",
    "\n",
    "# initialze the sampler\n",
    "sampler = emcee.EnsembleSampler(nwalkers,\n",
    "                                ndim,\n",
    "                                lnprob,\n",
    "                                args=(x,\n",
    "                                      y,\n",
    "                                      yerr),\n",
    "                                threads=nthreads)\n",
    "\n",
    "# run the sampler for 500 steps\n",
    "sampler.run_mcmc(pos, steps)\n",
    "samples = sampler.chain"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7592036-7c40-4a5b-8997-1993e875f38b",
   "metadata": {},
   "source": [
    "What is the acceptance rate? Lore has it that this should be between $0.3-0.5$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "797b5e3a-899c-42fd-90c1-4d66b3d7a43f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean acceptance rate is: 0.65\n"
     ]
    }
   ],
   "source": [
    "print(\"Mean acceptance rate is: {0:1.2f}\".format(np.mean(sampler.acceptance_fraction)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d98a632b-a43c-4291-9728-7462a3a1700e",
   "metadata": {},
   "source": [
    "This acceptance rate is okay. If it is too low, the emcee documentation suggests increasing the number of walkers until the acceptance fraction is at the desired level.\n",
    "\n",
    "Let's visualize the chains."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "72c20189-af44-4b52-b457-ff0e7551090e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "dim_name = [r'$b$', r'$m$', r'$\\ln f$']\n",
    "for dim in range(ndim):\n",
    "    ax = fig.add_subplot(ndim, 1, dim+1)\n",
    "    for i in range(nwalkers):\n",
    "        ax.plot(np.arange(steps),\n",
    "                samples[i, :, dim],\n",
    "                ls='-',\n",
    "                color='black',\n",
    "                alpha=10./nwalkers)\n",
    "    ax.set_ylabel(dim_name[dim], fontsize='large')\n",
    "ax.set_xlabel('step', fontsize='large');"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e98d2f5-dc64-491e-a67d-2ef0b51da813",
   "metadata": {},
   "source": [
    "It looks like the walkers have \"burned in\" by 50 steps, so keep only those samples after 50 steps."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "7d318ba8-edb9-4279-8737-4755099bc537",
   "metadata": {},
   "outputs": [],
   "source": [
    "samples = sampler.chain[:, 50:, :].reshape((-1, ndim))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "655cfb9d-d4bd-4cd6-8e09-dbe2105bb318",
   "metadata": {},
   "source": [
    "What does this look like? Let's visualize with the traditional corner plot.\n",
    "\n",
    "I will give it the actual line parameters with the \"truths\" parameter, so we can see how our results compare to the actual values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "f43ef91c-75cb-4ad0-9b2a-ba10b985325f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 608x608 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = corner.corner(samples,\n",
    "                    labels=[r\"$b$\", r\"$m$\", r\"$\\ln\\,f$\"],\n",
    "                    quantiles=[0.16, 0.5, 0.84],\n",
    "                    truths=[b_true,\n",
    "                            m_true,\n",
    "                            np.log(f_true)],\n",
    "                    show_titles=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea1c7240-00fa-4e0f-94c1-ed555bcc83f3",
   "metadata": {},
   "source": [
    "Now let's plot a bunch of sample fits from the MCMC chain, on top of our data and other models."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "f8ef84a2-df33-46ce-80bc-26dd8bcfab89",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(1, 1, 1)\n",
    "ax.errorbar(x, y,\n",
    "            yerr=yerr,\n",
    "            ls='',\n",
    "            marker='.',\n",
    "            color='gray',\n",
    "            label='Data')\n",
    "ax.plot(x, m_true*x + b_true,\n",
    "        color='black',\n",
    "        ls='-',\n",
    "        label='True Relation')\n",
    "ax.plot(x, m_ls * x + b_ls,\n",
    "        color='red',\n",
    "        ls=':',\n",
    "        label='Least Squares')\n",
    "ax.plot(x, ml_m * x + ml_b,\n",
    "        color='blue',\n",
    "        ls='--',\n",
    "        label='Max likelihood')\n",
    "for b, m, lnf in samples[np.random.randint(len(samples), size=100)]:\n",
    "    ax.plot(x,\n",
    "            m * x + b,\n",
    "            color='green',\n",
    "            alpha=0.1)\n",
    "ax.set_ylabel('y', fontsize='x-large')\n",
    "ax.set_xlabel('x', fontsize='x-large')\n",
    "ax.minorticks_on()\n",
    "ax.legend(loc='best');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "3abe5aa3-7938-4cc7-b702-6017e9f94a5e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MCMC Parameter estimates:\n",
      "slope: 1.60 (+0.12, -0.12)\n",
      "y-intercept: 3.14 (+0.38, -0.33)\n",
      "\n",
      "True values:\n",
      "slope: 1.70\n",
      "y-intercept: 2.70\n"
     ]
    }
   ],
   "source": [
    "samples[:, 2] = np.exp(samples[:, 2])\n",
    "b_mcmc, m_mcmc, f_mcmc = map(lambda v: (v[1], v[2]-v[1], v[1]-v[0]),\n",
    "                             zip(*np.percentile(samples, [16, 50, 84],\n",
    "                                                axis=0)))\n",
    "print(\"MCMC Parameter estimates:\")\n",
    "print(\"slope: {0:1.2f} (+{1:1.2f}, -{2:1.2f})\".format(m_mcmc[0],\n",
    "                                                        m_mcmc[1],\n",
    "                                                        m_mcmc[2]))\n",
    "print(\"y-intercept: {0:1.2f} (+{1:1.2f}, -{2:1.2f})\".format(b_mcmc[0],\n",
    "                                                        b_mcmc[1],\n",
    "                                                        b_mcmc[2]))\n",
    "print(\"\\nTrue values:\")\n",
    "print(\"slope: {0:1.2f}\".format(m_true))\n",
    "print(\"y-intercept: {0:1.2f}\".format(b_true))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
