{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# Variance estimators\n", "\n", "## Outline\n", "\n", "Consider a particle estimate computed at time $t$ of a SMC algorithm: \n", "$$\\mathbb{Q}_t^N(\\varphi) = \\sum_{n=1}^N W_t^n \\varphi(X_t^n).$$\n", "\n", "A basic way to evaluate its variability is to run the algorithm many times, and report the empirical variance. Which is of course expensive. (Note however that function `multiSMC` in the `core` module makes it possible to run SMC algorithms in parallel on multiple-core machines). \n", "\n", "Several recent papers (Chan and Lai, 2013; Lee and Whiteley, 2018; Olsson and Douc, 2019) have proposed estimators of the variance of a particle estimate that may be computed from a **single run**. These estimators require to track the genealogy of the particle system. In fact, the expression of these estimators is a variation of this: \n", "\\begin{equation}\n", "\\sum_{n=1}^N \\left[\\sum_{m:B_t^m=n} W_t^m \\left\\{\\varphi(X_t^m) - \\mathbb{Q}_t^N(\\varphi)\\right\\} \\right]^2\n", "\\end{equation}\n", "where $B_t^n$ is the index of the ancestor of $X_t^n$ at time $0$ (the so-called **eve variables** in Lee and Whiteley, 2018). Note that this quantity **equals zero** as soon as all the particles have the same ancestor at time $0$. More generally, we expect these estimators to suffer from **path degeneracy** (i.e. number of distinct ancestors drops quickly.)\n", "\n", "\n", "This notebook:\n", "\n", "* explains how to compute such estimators, using module `variance_estimators`;\n", "* showcases their performance in a toy example.\n", "\n", "## Computing the variance estimators\n", "\n", "We start with the usual imports." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import itertools as it\n", "\n", "from matplotlib import pyplot as plt\n", "import numpy as np\n", "from numpy import random\n", "import pandas as pd\n", "from scipy import stats\n", "import seaborn as sb\n", "\n", "import particles \n", "from particles import state_space_models as ssms\n", "from particles import kalman # Linear Gaussian state space models are defined here\n", "from particles import collectors as col # standard collectors\n", "\n", "plt.style.use('ggplot')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider a basic univariate linear Gaussian model:\n", "\n", "\\begin{align*}\n", "X_t & = \\rho X_{t-1} + \\sigma_X U_t \\\\\n", "Y_t & = X_t + \\sigma_Y V_t\n", "\\end{align*}\n", "with $\\rho=0.9$, $\\sigma_X=1$, $\\sigma_Y=0.2$. \n", "\n", "We simulate data ($T=50)$ from the model. \n", "\n", "Let's run a single bootstrap filter, and have a look at the genealogical tree." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T = 50\n", "ssm = kalman.LinearGauss(rho=0.9, sigmaX=1., sigmaY=0.2)\n", "true_x, data = ssm.simulate(T)\n", "fk = ssms.Bootstrap(ssm=ssm, data=data)\n", "N = 1000\n", "alg = particles.SMC(fk=fk, N=N, store_history=True) # store_history: keeps the complete history\n", "alg.run()\n", "\n", "B = alg.hist.compute_trajectories()\n", "\n", "plt.figure()\n", "for n in range(N):\n", " plt.plot(B[:, n], 'k')\n", "plt.xlabel(r'$t$')\n", "plt.ylabel(r'$B_t$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot above represents the index of the ancestors of the final particles $X_T^n$, at times $t=0, ...,T$. Alternatively, we can plot the number of distinct ancestors (of particles $X_T^n$) at time $t$; see below. Clearly, although this is a toy example, and the number of time steps is small, we already observe some strong path degeneracy (although the number of ancestors at time 0 does not collapse to one). " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot([np.unique(B[t, :]).shape[0] for t in range(T)], 'k')\n", "plt.xlabel(r'$t$')\n", "plt.ylabel('nr ancestors')\n", "plt.ylim(bottom=1)\n", "plt.yscale('log')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The block below shows how one may compute various variance estimators. These estimators are implemented as collectors (see module `collectors`); i.e. as objects that compute and collect, at each time $t$, a certain variance estimator, and save the result in an an attribute of ``smc.summaries``, where ``smc`` is the considered `SMC` instance (the algorithm you are running). \n", "\n", "More precisely, module `variance_estimators` includes the following collectors:\n", "\n", "* ``Var(phi=None)``: computes the variance estimator defined above, for function ``phi`` (default = identity function). \n", "* ``Var_logLt()``: computes the variance estimator for the estimates of the log-normalising constants, $\\log L_t$ (Lee & Whiteley, 2018). \n", "* ``Lag_based_Var(phi=None)``: computes the lag-based estimator of Olsson and Douc (2019) for function ``phi``. You must then specify a `maximum lag`, through the extra command ``store_history=max_lag``. See module `smoothing` for more details on storing (part of) the history of a SMC algorithm." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from particles import variance_estimators as var\n", "\n", "def phi(x):\n", " return x \n", "\n", "max_lag = 11\n", "nruns = 10_000\n", "runs = particles.multiSMC(fk=fk, N=N, resampling='multinomial', # see below\n", " collect=[col.Moments(), var.Var_logLt(), var.Var(phi=phi), var.Lag_based_var(phi=phi)],\n", " store_history=max_lag, nruns=nruns, nprocs=0)\n", "\n", "# We could do var.Var() and var.Lag_based_var(), since identity function is the default test function anyway" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note:** In principle, these variance estimators are valid only when multinomial resampling is used, which is why we chose that particular resampling scheme.\n", "\n", "## Numerical results\n", "\n", "We now use the results to assess the variability of the standard (not lag-based) variance estimator. To do so, we compare the empirical variance (over the $10^4$ runs) with the empirical distribution of the estimates (summarised by the median, the $10\\%-$ and the $90\\%-$ quantile). \n", "\n", "We start with the normalising constants (i.e. the marginal likelihood of the data until time $t$). " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_ci(time_range, arr):\n", " \"Plot (empirical) confidence intervals.\"\n", " plt.plot(time_range, np.percentile(arr, 50, axis=0), 'k:', \n", " label='var est median')\n", " plt.fill_between(time_range, np.percentile(arr, 10, axis=0), np.percentile(arr, 90, axis=0), \n", " alpha=0.1, color='black', label='var est 80% CI')\n", "\n", "plt.plot([np.var([r['output'].summaries.logLts[t] for r in runs]) for t in range(T)], \n", " label='empirical var')\n", "ll_var_ests = np.array([r['output'].summaries.var_logLt for r in runs])\n", "plot_ci(np.arange(T), ll_var_ests)\n", "plt.xlabel(r'$t$')\n", "plt.ylabel('log-likelihood')\n", "plt.legend(loc='upper left');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not too bad, right? Note however that the error (in estimating the variance) seems to grow over time, and tends to be negative (under-estimation of the variance).\n", "\n", "Let's now look at the performance of the variance estimators for function $\\varphi(x)=x$; i.e. the variance of the particle estimates of the filtering expectations." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "ests = np.array([[r['output'].summaries.moments[t]['mean'] for r in runs] \n", " for t in range(T)]).T\n", "plt.plot(np.var(ests, axis=0), label='empirical var')\n", "var_ests = np.array([r['output'].summaries.var for r in runs])\n", "plot_ci(np.arange(T), var_ests)\n", "plt.legend()\n", "plt.xlabel(r'$t$')\n", "plt.yscale('log')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, error seems to grow with time. Let's zoom on the first time steps:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t0 = 20\n", "plt.figure()\n", "plt.plot(np.var(ests[:, :t0], axis=0))\n", "plot_ci(np.arange(t0), var_ests[:, :t0])\n", "plt.legend()\n", "plt.xlabel(r'$t$')\n", "plt.yscale('log')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At the first time steps, the variance estimates seem more reliable, presumably because path degeneracy remains limited at times $\\leq 20$. \n", "\n", "## Performance over repeated runs\n", "\n", "Variance estimates may get more robust if averaged over repeated runs. To see if this is true, we bootstrap the sample of estimates to assess the performance over 10 runs." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# Bootstrap\n", "nsample = 10\n", "nboot = 10_000\n", "boot_emp_var = np.zeros((nboot, T))\n", "boot_var_ests = np.zeros((nboot, T))\n", "for n in range(nboot):\n", " idx = random.choice(nruns, size=nsample, replace=False)\n", " boot_emp_var[n, :] = np.var(ests[idx, :], axis=0)\n", " boot_var_ests[n, :] = np.mean(var_ests[idx, :], axis=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following plot compares the performance of:\n", "\n", "* the empirical variance (of the considered estimate) over 10 runs;\n", "* the empirical mean of the variance estimator over 10 runs.\n", "\n", "Through averaging, the estimator becomes far more reliable, and seems to show comparable or better performance than the empirical variance. However, the level of improvement seems to decrease over time (again because of path degeneracy)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import itertools\n", "import pandas \n", "\n", "d1 = [{'t': t, 'type': 'empirical', 'est': boot_emp_var[n, t]} \n", " for n, t in it.product(range(N), range(T))]\n", "d2 = [{'t': t, 'type': 'var est', 'est': boot_var_ests[n, t]} \n", " for n, t in it.product(range(N), range(T))]\n", "df = pandas.DataFrame(d1 + d2)\n", "dft = df[df['t'] % 10 == 9 ]\n", "sb.boxplot(x='t', y='est', hue='type', data=dft)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thus, averaging does seem to help in making these estimators more robust (even at times where there is already strong path degeneracy).\n", "\n", "## Lag-based estimators\n", "\n", "Olsson and Douc (2019) proposed a variant of the above estimators based on a lag approximation. This introduces a bias, but this also should alleviate the path degeneracy. \n", "\n", "We now look at the performance of lag-based variance estimators. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def get_list(l, k):\n", " if k < len(l):\n", " return l[k]\n", " else:\n", " return 0.\n", "for lag in range(0, 6):\n", " plt.figure()\n", " plt.title('lag=%i' % lag)\n", " plt.plot(np.var(ests, axis=0), label='empirical var')\n", " times = list(range(lag, T))\n", " lag_var_ests = np.array([[get_list(est, lag) \n", " for est in r['output'].summaries.lag_based_var[lag:]] \n", " for r in runs])\n", " plot_ci(times, lag_var_ests)\n", " plt.legend()\n", " plt.yscale('log')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These results are a tad surprising: little bias is observed even for lag=0. Increasing the lag seems only to increase the error.\n", "\n", "## Bottom line\n", "\n", "Based on these experiments (which are of course a bit limited), the following recommendations seem reasonable:\n", "\n", "* Averaging over a small number of runs seems to make variance estimators more robust.\n", "* Even with averaging, the performance gain (relative to the empirical variance) may be modest as soon as the number of distinct eve variables is too small.\n", "* When the number of distinct ever variables drop to one, these variance estimators do not work any more. \n", "* In that case, it may be worth switching to the lag-based variant of Olsson and Douc (2019). \n", "* However, choosing the value of the lag seems non-trivial, and deserves further investigation.\n", "\n", "## References\n", "\n", "* Chan, H.P. and Lai, T.L. (2013). A general theory of particle filters in\n", " hidden Markov models and some applications. Ann. Statist. 41, pp. 2877–2904.\n", "\n", "* Lee, A and Whiteley, N (2018). Variance estimation in the particle filter.\n", " Biometrika 3, pp. 609-625.\n", "\n", "* Olsson, J. and Douc, R. (2019). Numerically stable online estimation of\n", " variance in particle filters. Bernoulli 25.2, pp. 1504-1535." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.3" } }, "nbformat": 4, "nbformat_minor": 4 }