{
 "cells": [
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   "cell_type": "markdown",
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   "source": [
    "(autocorr)=\n",
    "\n",
    "# Autocorrelation analysis & convergence\n",
    "\n",
    "In this tutorial, we will discuss a method for convincing yourself that your chains are sufficiently converged.\n",
    "This can be a difficult subject to discuss because it isn't formally possible to guarantee convergence for any but the simplest models, and therefore any argument that you make will be circular and heuristic.\n",
    "However, some discussion of autocorrelation analysis is (or should be!) a necessary part of any publication using MCMC.\n",
    "\n",
    "With emcee, we follow [Goodman & Weare (2010)](https://msp.org/camcos/2010/5-1/p04.xhtml) and recommend using the *integrated autocorrelation time* to quantify the effects of sampling error on your results.\n",
    "The basic idea is that the samples in your chain are not independent and you must estimate the effective number of independent samples.\n",
    "There are other convergence diagnostics like the [Gelman–Rubin statistic](http://digitalassets.lib.berkeley.edu/sdtr/ucb/text/305.pdf) (*Note: you should not compute the G–R statistic using multiple chains in the same emcee ensemble because the chains are not independent!*) but, since the integrated autocorrelation time directly quantifies the Monte Carlo error (and hence the efficiency of the sampler) on any integrals computed using the MCMC results, it is the natural quantity of interest when judging the robustness of an MCMC analysis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": [
     "hide-cell"
    ]
   },
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\"\n",
    "\n",
    "from matplotlib import rcParams\n",
    "\n",
    "rcParams[\"savefig.dpi\"] = 100\n",
    "rcParams[\"figure.dpi\"] = 100\n",
    "rcParams[\"font.size\"] = 20"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Monte Carlo error\n",
    "\n",
    "The goal of every MCMC analysis is to evaluate integrals of the form\n",
    "\n",
    "$$\n",
    "\\mathrm{E}_{p(\\theta)}[f(\\theta)] = \\int f(\\theta)\\,p(\\theta)\\,\\mathrm{d}\\theta \\quad.\n",
    "$$\n",
    "\n",
    "If you had some way of generating $N$ samples $\\theta^{(n)}$ from the probability density $p(\\theta)$, then you could approximate this integral as\n",
    "\n",
    "$$\n",
    "\\mathrm{E}_{p(\\theta)}[f(\\theta)] \\approx \\frac{1}{N} \\sum_{n=1}^N f(\\theta^{(n)})\n",
    "$$\n",
    "\n",
    "where the sum is over the samples from $p(\\theta)$.\n",
    "If these samples are independent, then the sampling variance on this estimator is\n",
    "\n",
    "$$\n",
    "\\sigma^2 = \\frac{1}{N}\\,\\mathrm{Var}_{p(\\theta)}[f(\\theta)]\n",
    "$$\n",
    "\n",
    "and the error decreases as $1/\\sqrt{N}$ as you generate more samples.\n",
    "In the case of MCMC, the samples are not independent and the error is actually given by\n",
    "\n",
    "$$\n",
    "\\sigma^2 = \\frac{\\tau_f}{N}\\,\\mathrm{Var}_{p(\\theta)}[f(\\theta)]\n",
    "$$\n",
    "\n",
    "where $\\tau_f$ is the *integrated autocorrelation time* for the chain $f(\\theta^{(n)})$.\n",
    "In other words, $N/\\tau_f$ is the effective number of samples and $\\tau_f$ is the number of steps that are needed before the chain \"forgets\" where it started.\n",
    "This means that, if you can estimate $\\tau_f$, then you can estimate the number of samples that you need to generate to reduce the relative error on your target integral to (say) a few percent.\n",
    "\n",
    "**Note:** It is important to remember that $\\tau_f$ depends on the specific function $f(\\theta)$.\n",
    "This means that there isn't just *one* integrated autocorrelation time for a given Markov chain.\n",
    "Instead, you must compute a different $\\tau_f$ for any integral you estimate using the samples."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Computing autocorrelation times\n",
    "\n",
    "There is a great discussion of methods for autocorrelation estimation in [a set of lecture notes by Alan Sokal](https://pdfs.semanticscholar.org/0bfe/9e3db30605fe2d4d26e1a288a5e2997e7225.pdf) and the interested reader should take a look at that for a more formal discussion, but I'll include a summary of some of the relevant points here.\n",
    "The integrated autocorrelation time is defined as\n",
    "\n",
    "$$\n",
    "\\tau_f = \\sum_{\\tau=-\\infty}^\\infty \\rho_f(\\tau)\n",
    "$$\n",
    "\n",
    "where $\\rho_f(\\tau)$ is the normalized autocorrelation function of the stochastic process that generated the chain for $f$.\n",
    "You can estimate $\\rho_f(\\tau)$ using a finite chain $\\{f_n\\}_{n=1}^N$ as\n",
    "\n",
    "$$\n",
    "\\hat{\\rho}_f(\\tau) = \\hat{c}_f(\\tau) / \\hat{c}_f(0)\n",
    "$$\n",
    "\n",
    "where\n",
    "\n",
    "$$\n",
    "\\hat{c}_f(\\tau) = \\frac{1}{N - \\tau} \\sum_{n=1}^{N-\\tau} (f_n - \\mu_f)\\,(f_{n+\\tau}-\\mu_f)\n",
    "$$\n",
    "\n",
    "and\n",
    "\n",
    "$$\n",
    "\\mu_f = \\frac{1}{N}\\sum_{n=1}^N f_n \\quad.\n",
    "$$\n",
    "\n",
    "(Note: In practice, it is actually more computationally efficient to compute $\\hat{c}_f(\\tau)$ using a fast Fourier transform than summing it directly.)\n",
    "\n",
    "Now, you might expect that you can estimate $\\tau_f$ using this estimator for $\\rho_f(\\tau)$ as\n",
    "\n",
    "$$\n",
    "\\hat{\\tau}_f \\stackrel{?}{=} \\sum_{\\tau=-N}^{N} \\hat{\\rho}_f(\\tau) = 1 + 2\\,\\sum_{\\tau=1}^N \\hat{\\rho}_f(\\tau)\n",
    "$$\n",
    "\n",
    "but this isn't actually a very good idea.\n",
    "At longer lags, $\\hat{\\rho}_f(\\tau)$ starts to contain more noise than signal and summing all the way out to $N$ will result in a very noisy estimate of $\\tau_f$.\n",
    "Instead, we want to estimate $\\tau_f$ as\n",
    "\n",
    "$$\n",
    "\\hat{\\tau}_f (M) = 1 + 2\\,\\sum_{\\tau=1}^M \\hat{\\rho}_f(\\tau)\n",
    "$$\n",
    "\n",
    "for some $M \\ll N$.\n",
    "As discussed by Sokal in the notes linked above, the introduction of $M$ decreases the variance of the estimator at the cost of some added bias and he suggests choosing the smallest value of $M$ where $M \\ge C\\,\\hat{\\tau}_f (M)$ for a constant $C \\sim 5$.\n",
    "Sokal says that he finds this procedure to work well for chains longer than $1000\\,\\tau_f$, but the situation is a bit better with emcee because we can use the parallel chains to reduce the variance and we've found that chains longer than about $50\\,\\tau$ are often sufficient."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A toy problem\n",
    "\n",
    "To demonstrate this method, we'll start by generating a set of \"chains\" from a process with known autocorrelation structure.\n",
    "To generate a large enough dataset, we'll use [celerite](http://celerite.readthedocs.io):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 279,
       "width": 394
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "np.random.seed(1234)\n",
    "\n",
    "# Build the celerite model:\n",
    "import celerite\n",
    "from celerite import terms\n",
    "\n",
    "kernel = terms.RealTerm(log_a=0.0, log_c=-6.0)\n",
    "kernel += terms.RealTerm(log_a=0.0, log_c=-2.0)\n",
    "\n",
    "# The true autocorrelation time can be calculated analytically:\n",
    "true_tau = sum(2 * np.exp(t.log_a - t.log_c) for t in kernel.terms)\n",
    "true_tau /= sum(np.exp(t.log_a) for t in kernel.terms)\n",
    "true_tau\n",
    "\n",
    "# Simulate a set of chains:\n",
    "gp = celerite.GP(kernel)\n",
    "t = np.arange(2000000)\n",
    "gp.compute(t)\n",
    "y = gp.sample(size=32)\n",
    "\n",
    "# Let's plot a little segment with a few samples:\n",
    "plt.plot(y[:3, :300].T)\n",
    "plt.xlim(0, 300)\n",
    "plt.xlabel(\"step number\")\n",
    "plt.ylabel(\"$f$\")\n",
    "plt.title(\"$\\\\tau_\\mathrm{{true}} = {0:.0f}$\".format(true_tau), fontsize=14);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we'll estimate the empirical autocorrelation function for each of these parallel chains and compare this to the true function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 280,
       "width": 722
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def next_pow_two(n):\n",
    "    i = 1\n",
    "    while i < n:\n",
    "        i = i << 1\n",
    "    return i\n",
    "\n",
    "\n",
    "def autocorr_func_1d(x, norm=True):\n",
    "    x = np.atleast_1d(x)\n",
    "    if len(x.shape) != 1:\n",
    "        raise ValueError(\"invalid dimensions for 1D autocorrelation function\")\n",
    "    n = next_pow_two(len(x))\n",
    "\n",
    "    # Compute the FFT and then (from that) the auto-correlation function\n",
    "    f = np.fft.fft(x - np.mean(x), n=2 * n)\n",
    "    acf = np.fft.ifft(f * np.conjugate(f))[: len(x)].real\n",
    "    acf /= 4 * n\n",
    "\n",
    "    # Optionally normalize\n",
    "    if norm:\n",
    "        acf /= acf[0]\n",
    "\n",
    "    return acf\n",
    "\n",
    "\n",
    "# Make plots of ACF estimate for a few different chain lengths\n",
    "window = int(2 * true_tau)\n",
    "tau = np.arange(window + 1)\n",
    "f0 = kernel.get_value(tau) / kernel.get_value(0.0)\n",
    "\n",
    "# Loop over chain lengths:\n",
    "fig, axes = plt.subplots(1, 3, figsize=(12, 4), sharex=True, sharey=True)\n",
    "for n, ax in zip([10, 100, 1000], axes):\n",
    "    nn = int(true_tau * n)\n",
    "    ax.plot(tau / true_tau, f0, \"k\", label=\"true\")\n",
    "    ax.plot(\n",
    "        tau / true_tau,\n",
    "        autocorr_func_1d(y[0, :nn])[: window + 1],\n",
    "        label=\"estimate\",\n",
    "    )\n",
    "    ax.set_title(r\"$N = {0}\\,\\tau_\\mathrm{{true}}$\".format(n), fontsize=14)\n",
    "    ax.set_xlabel(r\"$\\tau / \\tau_\\mathrm{true}$\")\n",
    "\n",
    "axes[0].set_ylabel(r\"$\\rho_f(\\tau)$\")\n",
    "axes[-1].set_xlim(0, window / true_tau)\n",
    "axes[-1].set_ylim(-0.05, 1.05)\n",
    "axes[-1].legend(fontsize=14);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This figure shows how the empirical estimate of the normalized autocorrelation function changes as more samples are generated.\n",
    "In each panel, the true autocorrelation function is shown as a black curve and the empirical estimator is shown as a blue line.\n",
    "\n",
    "Instead of estimating the autocorrelation function using a single chain, we can assume that each chain is sampled from the same stochastic process and average the estimate over ensemble members to reduce the variance.\n",
    "It turns out that we'll actually do this averaging later in the process below, but it can be useful to show the mean autocorrelation function for visualization purposes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 280,
       "width": 722
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 3, figsize=(12, 4), sharex=True, sharey=True)\n",
    "for n, ax in zip([10, 100, 1000], axes):\n",
    "    nn = int(true_tau * n)\n",
    "    ax.plot(tau / true_tau, f0, \"k\", label=\"true\")\n",
    "    f = np.mean(\n",
    "        [\n",
    "            autocorr_func_1d(y[i, :nn], norm=False)[: window + 1]\n",
    "            for i in range(len(y))\n",
    "        ],\n",
    "        axis=0,\n",
    "    )\n",
    "    f /= f[0]\n",
    "    ax.plot(tau / true_tau, f, label=\"estimate\")\n",
    "    ax.set_title(r\"$N = {0}\\,\\tau_\\mathrm{{true}}$\".format(n), fontsize=14)\n",
    "    ax.set_xlabel(r\"$\\tau / \\tau_\\mathrm{true}$\")\n",
    "\n",
    "axes[0].set_ylabel(r\"$\\rho_f(\\tau)$\")\n",
    "axes[-1].set_xlim(0, window / true_tau)\n",
    "axes[-1].set_ylim(-0.05, 1.05)\n",
    "axes[-1].legend(fontsize=14);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's estimate the autocorrelation time using these estimated autocorrelation functions.\n",
    "Goodman & Weare (2010) suggested averaging the ensemble over walkers and computing the autocorrelation function of the mean chain to lower the variance of the estimator and that was what was originally implemented in emcee.\n",
    "Since then, @fardal on GitHub [suggested that other estimators might have lower variance](https://github.com/dfm/emcee/issues/209).\n",
    "This is absolutely correct and, instead of the Goodman & Weare method, we now recommend computing the autocorrelation time for each walker (it's actually possible to still use the ensemble to choose the appropriate window) and then average these estimates.\n",
    "\n",
    "Here is an implementation of each of these methods and a plot showing the convergence as a function of the chain length:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 387
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Automated windowing procedure following Sokal (1989)\n",
    "def auto_window(taus, c):\n",
    "    m = np.arange(len(taus)) < c * taus\n",
    "    if np.any(m):\n",
    "        return np.argmin(m)\n",
    "    return len(taus) - 1\n",
    "\n",
    "\n",
    "# Following the suggestion from Goodman & Weare (2010)\n",
    "def autocorr_gw2010(y, c=5.0):\n",
    "    f = autocorr_func_1d(np.mean(y, axis=0))\n",
    "    taus = 2.0 * np.cumsum(f) - 1.0\n",
    "    window = auto_window(taus, c)\n",
    "    return taus[window]\n",
    "\n",
    "\n",
    "def autocorr_new(y, c=5.0):\n",
    "    f = np.zeros(y.shape[1])\n",
    "    for yy in y:\n",
    "        f += autocorr_func_1d(yy)\n",
    "    f /= len(y)\n",
    "    taus = 2.0 * np.cumsum(f) - 1.0\n",
    "    window = auto_window(taus, c)\n",
    "    return taus[window]\n",
    "\n",
    "\n",
    "# Compute the estimators for a few different chain lengths\n",
    "N = np.exp(np.linspace(np.log(100), np.log(y.shape[1]), 10)).astype(int)\n",
    "gw2010 = np.empty(len(N))\n",
    "new = np.empty(len(N))\n",
    "for i, n in enumerate(N):\n",
    "    gw2010[i] = autocorr_gw2010(y[:, :n])\n",
    "    new[i] = autocorr_new(y[:, :n])\n",
    "\n",
    "# Plot the comparisons\n",
    "plt.loglog(N, gw2010, \"o-\", label=\"G&W 2010\")\n",
    "plt.loglog(N, new, \"o-\", label=\"new\")\n",
    "ylim = plt.gca().get_ylim()\n",
    "plt.plot(N, N / 50.0, \"--k\", label=r\"$\\tau = N/50$\")\n",
    "plt.axhline(true_tau, color=\"k\", label=\"truth\", zorder=-100)\n",
    "plt.ylim(ylim)\n",
    "plt.xlabel(\"number of samples, $N$\")\n",
    "plt.ylabel(r\"$\\tau$ estimates\")\n",
    "plt.legend(fontsize=14);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this figure, the true autocorrelation time is shown as a horizontal line and it should be clear that both estimators give outrageous results for the short chains.\n",
    "It should also be clear that the new algorithm has lower variance than the original method based on Goodman & Weare.\n",
    "In fact, even for moderately long chains, the old method can give dangerously over-confident estimates.\n",
    "For comparison, we have also plotted the $\\tau = N/50$ line to show that, once the estimate crosses that line, The estimates are starting to get more reasonable.\n",
    "This suggests that you probably shouldn't trust any estimate of $\\tau$ unless you have more than $F\\times\\tau$ samples for some $F \\ge 50$.\n",
    "Larger values of $F$ will be more conservative, but they will also (obviously) require longer chains."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A more realistic example\n",
    "\n",
    "Now, let's run an actual Markov chain and test these methods using those samples.\n",
    "So that the sampling isn't completely trivial, we'll sample a multimodal density in three dimensions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 500000/500000 [10:51<00:00, 767.17it/s] \n"
     ]
    }
   ],
   "source": [
    "import emcee\n",
    "\n",
    "\n",
    "def log_prob(p):\n",
    "    return np.logaddexp(-0.5 * np.sum(p**2), -0.5 * np.sum((p - 4.0) ** 2))\n",
    "\n",
    "\n",
    "sampler = emcee.EnsembleSampler(32, 3, log_prob)\n",
    "sampler.run_mcmc(\n",
    "    np.concatenate(\n",
    "        (np.random.randn(16, 3), 4.0 + np.random.randn(16, 3)), axis=0\n",
    "    ),\n",
    "    500000,\n",
    "    progress=True,\n",
    ");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here's the marginalized density in the first dimension."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 261,
       "width": 364
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "chain = sampler.get_chain()[:, :, 0].T\n",
    "\n",
    "plt.hist(chain.flatten(), 100)\n",
    "plt.gca().set_yticks([])\n",
    "plt.xlabel(r\"$\\theta$\")\n",
    "plt.ylabel(r\"$p(\\theta)$\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And here's the comparison plot showing how the autocorrelation time estimates converge with longer chains."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 387
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compute the estimators for a few different chain lengths\n",
    "N = np.exp(np.linspace(np.log(100), np.log(chain.shape[1]), 10)).astype(int)\n",
    "gw2010 = np.empty(len(N))\n",
    "new = np.empty(len(N))\n",
    "for i, n in enumerate(N):\n",
    "    gw2010[i] = autocorr_gw2010(chain[:, :n])\n",
    "    new[i] = autocorr_new(chain[:, :n])\n",
    "\n",
    "# Plot the comparisons\n",
    "plt.loglog(N, gw2010, \"o-\", label=\"G&W 2010\")\n",
    "plt.loglog(N, new, \"o-\", label=\"new\")\n",
    "ylim = plt.gca().get_ylim()\n",
    "plt.plot(N, N / 50.0, \"--k\", label=r\"$\\tau = N/50$\")\n",
    "plt.ylim(ylim)\n",
    "plt.xlabel(\"number of samples, $N$\")\n",
    "plt.ylabel(r\"$\\tau$ estimates\")\n",
    "plt.legend(fontsize=14);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As before, the short chains give absurd estimates of $\\tau$, but the new method converges faster and with lower variance than the old method.\n",
    "The $\\tau = N/50$ line is also included as above as an indication of where we might start trusting the estimates."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What about shorter chains?\n",
    "\n",
    "Sometimes it just might not be possible to run chains that are long enough to get a reliable estimate of $\\tau$ using the methods described above.\n",
    "In these cases, you might be able to get an estimate using parametric models for the autocorrelation.\n",
    "One example would be to fit an [autoregressive model](https://en.wikipedia.org/wiki/Autoregressive_model) to the chain and using that to estimate the autocorrelation time.\n",
    "\n",
    "As an example, we'll use [celerite](http://celerite.readthedocs.io) to fit for the maximum likelihood autocorrelation function and then compute an estimate of $\\tau$ based on that model.\n",
    "The celerite model that we're using is equivalent to a second-order ARMA model and it appears to be a good choice for this example, but we're not going to promise anything here about the general applicability and we caution care whenever estimating autocorrelation times using short chains.\n",
    "\n",
    ":::{note}\n",
    "To run this part of the tutorial, you'll need to install [celerite](https://celerite.readthedocs.io) and [autograd](https://github.com/HIPS/autograd).\n",
    ":::"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.optimize import minimize\n",
    "\n",
    "\n",
    "def autocorr_ml(y, thin=1, c=5.0):\n",
    "    # Compute the initial estimate of tau using the standard method\n",
    "    init = autocorr_new(y, c=c)\n",
    "    z = y[:, ::thin]\n",
    "    N = z.shape[1]\n",
    "\n",
    "    # Build the GP model\n",
    "    tau = max(1.0, init / thin)\n",
    "    kernel = terms.RealTerm(\n",
    "        np.log(0.9 * np.var(z)),\n",
    "        -np.log(tau),\n",
    "        bounds=[(-5.0, 5.0), (-np.log(N), 0.0)],\n",
    "    )\n",
    "    kernel += terms.RealTerm(\n",
    "        np.log(0.1 * np.var(z)),\n",
    "        -np.log(0.5 * tau),\n",
    "        bounds=[(-5.0, 5.0), (-np.log(N), 0.0)],\n",
    "    )\n",
    "    gp = celerite.GP(kernel, mean=np.mean(z))\n",
    "    gp.compute(np.arange(z.shape[1]))\n",
    "\n",
    "    # Define the objective\n",
    "    def nll(p):\n",
    "        # Update the GP model\n",
    "        gp.set_parameter_vector(p)\n",
    "\n",
    "        # Loop over the chains and compute likelihoods\n",
    "        v, g = zip(*(gp.grad_log_likelihood(z0, quiet=True) for z0 in z))\n",
    "\n",
    "        # Combine the datasets\n",
    "        return -np.sum(v), -np.sum(g, axis=0)\n",
    "\n",
    "    # Optimize the model\n",
    "    p0 = gp.get_parameter_vector()\n",
    "    bounds = gp.get_parameter_bounds()\n",
    "    soln = minimize(nll, p0, jac=True, bounds=bounds)\n",
    "    gp.set_parameter_vector(soln.x)\n",
    "\n",
    "    # Compute the maximum likelihood tau\n",
    "    a, c = kernel.coefficients[:2]\n",
    "    tau = thin * 2 * np.sum(a / c) / np.sum(a)\n",
    "    return tau\n",
    "\n",
    "\n",
    "# Calculate the estimate for a set of different chain lengths\n",
    "ml = np.empty(len(N))\n",
    "ml[:] = np.nan\n",
    "for j, n in enumerate(N[1:8]):\n",
    "    i = j + 1\n",
    "    thin = max(1, int(0.05 * new[i]))\n",
    "    ml[i] = autocorr_ml(chain[:, :n], thin=thin)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 387
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the comparisons\n",
    "plt.loglog(N, gw2010, \"o-\", label=\"G&W 2010\")\n",
    "plt.loglog(N, new, \"o-\", label=\"new\")\n",
    "plt.loglog(N, ml, \"o-\", label=\"ML\")\n",
    "ylim = plt.gca().get_ylim()\n",
    "plt.plot(N, N / 50.0, \"--k\", label=r\"$\\tau = N/50$\")\n",
    "plt.ylim(ylim)\n",
    "plt.xlabel(\"number of samples, $N$\")\n",
    "plt.ylabel(r\"$\\tau$ estimates\")\n",
    "plt.legend(fontsize=14);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This figure is the same as the previous one, but we've added the maximum likelihood estimates for $\\tau$ in green.\n",
    "In this case, this estimate seems to be robust even for very short chains with $N \\sim \\tau$."
   ]
  }
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