{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Basic tutorial\n", "\n", "This basic tutorial gives a brief overview of some of functionality of the **particles** package. Details are deferred to more advanced tutorials. \n", "\n", "## First steps: defining a state-space model\n", "\n", "We start by importing some standard libraries, plus some modules from the package." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import warnings; warnings.simplefilter('ignore') # hide warnings \n", "\n", "# standard libraries\n", "from matplotlib import pyplot as plt\n", "import numpy as np\n", "import seaborn as sb\n", "\n", "# modules from particles\n", "import particles # core module\n", "from particles import distributions as dists # where probability distributions are defined\n", "from particles import state_space_models as ssm # where state-space models are defined\n", "from particles.collectors import Moments " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's define our first state-space model **class**. We consider a basic stochastic volalitility model, that is: \n", "\\begin{align*}\n", "X_0 & \\sim N\\left(\\mu, \\frac{\\sigma^2}{1-\\rho^2}\\right), &\\\\\n", "X_t|X_{t-1}=x_{t-1} & \\sim N\\left( \\mu + \\rho (x_{t-1}-\\mu), \\sigma^2\\right), &\\quad t\\geq 1, \\\\\n", "Y_t|X_t=x_t & \\sim N\\left(0, e^{x_t}\\right),& \\quad t\\geq 0.\n", "\\end{align*}\n", " \n", "Note that this model depends on fixed parameter $\\theta=(\\mu, \\rho, \\sigma)$. \n", "\n", "In case you are not familiar with the notations above: a state-space model is a model for a joint process $(X_t, Y_t)$, where $(X_t)$ is an unobserved Markov process (the *state* of the system), and $Y_t$ is some noisy measurement of $X_t$ (hence it is observed). For instance, in stochastic volatility, $Y_t$ is typically the log-return of some asset, and $X_t$ its (unobserved) volatility.\n", "\n", "The code below is hopefully transparent." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "class StochVol(ssm.StateSpaceModel):\n", " def PX0(self): # Distribution of X_0\n", " return dists.Normal(loc=self.mu, scale=self.sigma / np.sqrt(1. - self.rho**2))\n", " def PX(self, t, xp): # Distribution of X_t given X_{t-1}=xp (p=past)\n", " return dists.Normal(loc=self.mu + self.rho * (xp - self.mu), scale=self.sigma)\n", " def PY(self, t, xp, x): # Distribution of Y_t given X_t=x (and possibly X_{t-1}=xp)\n", " return dists.Normal(loc=0., scale=np.exp(0.5 * x))\n", " \n", "my_model = StochVol(mu=-1., rho=.9, sigma=.1) # actual model\n", "true_states, data = my_model.simulate(100) # we simulate from the model 100 data points\n", "\n", "plt.style.use('ggplot')\n", "plt.figure()\n", "plt.plot(data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Methods `PX0`, `PX` and `PY` return objects that represent probability distributions (defined in module `distributions`. Parameters $\\mu$, $\\rho$ and $\\sigma$ are defined as **attributes** of a class instance: i.e. `self.mu` and so on. (`self` is the generic name for an instance of a class in Python.)\n", "\n", "If your are not very familiar with OOP (object oriented programming) and related concepts (classes, instances, etc.), here is a simple way to understand them in our context: \n", "\n", "* The **class** `StochVol` represents the parametric class of stochastic volatility models.\n", "\n", "* The object `my_model` (a **class instance** of `StochVol`) defines a particular model, where parameters $\\mu$, $\\rho$ and $\\sigma$ are fixed to certain values. \n", "\n", "In particular, we can inspect the attributes of `my_model` that store the parameter values. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-1.0, 0.9, 0.1)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "my_model.mu, my_model.rho, my_model.sigma" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Class `StochVol` is a sub-class of ``StateSpaceModel``. (You can see that from the first line of its definition.) For instance, it inherits a method called `simulate` that generates states and datapoints from the considered model. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Particle filtering\n", "\n", "There are several particle algorithms that one may associate to a given state-space model. Here we consider the simplest option: the **bootstrap filter**. (See next tutorial for how to implement a guided or auxiliary filter.) The code below runs such a bootstrap filter for $N=100$ particles, using stratified resampling." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fk_model = ssm.Bootstrap(ssm=my_model, data=data) # we use the Bootstrap filter\n", "pf = particles.SMC(fk=fk_model, N=100, resampling='stratified', \n", " collect=[Moments()], store_history=True) # the algorithm\n", "pf.run() # actual computation\n", "\n", "# plot\n", "plt.figure()\n", "plt.plot([yt**2 for yt in data], label='data-squared')\n", "plt.plot([m['mean'] for m in pf.summaries.moments], label='filtered volatility')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recall that a particle filter is a Monte Carlo algorithm: each execution returns a random, slightly different result. Thus, it is useful to run a particle filter multiple times to assess how stable are the results. Say, for instance, that we would like to compare the variability of the log-likelihood estimate provided by a particle filter, when either a standard Monte Carlo algorithm is used, or its QMC variant, called SQMC. The following command runs 30 times each of these two algorithms." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results = particles.multiSMC(fk=fk_model, N=128, nruns=30, qmc={'SMC':False, 'SQMC':True})\n", "plt.figure()\n", "sb.boxplot(x=[r['output'].logLt for r in results], y=[r['qmc'] for r in results]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, the variance of SQMC estimates is quite lower. \n", "\n", "Command `multiSMC` makes it possible to run several particle filters, with varying options. Parallel execution is also possible, as explained in next tutorial." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Smoothing\n", "\n", "So far, we have only considered filtering; let's try smoothing, that is, approximating the distribution of the whole trajectory $X_{0:T}$, given data $Y_{0:T}=y_{0:T}$, for some fixed time horizon $T=100$. In particular, we are going to sample smoothing trajectories from the output of the first particle filter we ran a few steps above." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "smooth_trajectories = pf.hist.backward_sampling_ON2(10) \n", "plt.figure()\n", "plt.plot(smooth_trajectories);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we used the standard version of the FFBS (forward filtering, backward sampling) algorithm, which generates smoothing trajectories from the particle **history** (which we generated when running pf above). Other smoothing algorithms are available, see the next tutorial." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## (Bayesian) Parameter estimation\n", "\n", "Finally, we consider how to estimate the parameter $\\theta=(\\alpha, \\rho, \\sigma)$ from a given data-set. First, we set up a prior as follows." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "prior_dict = {'mu':dists.Normal(), \n", " 'sigma': dists.Gamma(a=1., b=1.), \n", " 'rho':dists.Beta(9., 1.)}\n", "my_prior = dists.StructDist(prior_dict)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, the code above should be fairly readable: the prior for $\\mu$ is $N(0,1)$, the one for $\\sigma$ is a Gamma(1,1) and so on. \n", "(As before, probability distributions are represented by objects defined in the `distributions` module.)\n", "\n", "This may not be a sensible prior distribution; for instance it restricts $\\rho$ to $[0,1]$. However, this will suffice for our purposes. \n", "A popular way to simulate from the posterior distribution of the parameters of a state-space model is PMMH, a particular instance of the PMMC framework. Basically, this is a MCMC algorithm that runs at each iteration a particle filter so as to evaluate the likelihood. \n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "from particles import mcmc # where the MCMC algorithms (PMMH, Particle Gibbs, etc) live\n", "pmmh = mcmc.PMMH(ssm_cls=StochVol, prior=my_prior, data=data, Nx=50, niter = 1000)\n", "pmmh.run() # Warning: takes a few seconds" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, the code above is hopefully readable: PMMH is run for 1000 iterations (`niter`), the particle filter run at each iteration have $N_x=50$ particles, and so on. One point worth mentioning is that we pass as an argument the *class* `StochVol`. Again, remember that this class indeed represents the considered parametric class (as opposed to `my_model`, which was a stochastic volatility model, for certain fixed parameter values). \n", "\n", "OK, we have waited long enough, let's plot the results." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the marginals \n", "burnin = 100 # discard the 100 first iterations\n", "for i, param in enumerate(prior_dict.keys()):\n", " plt.subplot(2, 2, i+1)\n", " sb.distplot(pmmh.chain.theta[param][burnin:], 40)\n", " plt.title(param)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These results might not be very reliable, given that we used a fairly small number of MCMC iterations. If you are familiar with MCMC, you may wonder how the Metropolis proposal was set: by default, PMMH uses an adaptive Gaussian random walk proposal, such that the covariance matrix of the random step is iteratively adapted to the running simulation. \n", "\n", "The library also implements SMC$^2$, and Particle Gibbs, but that will be covered in the next tutorial.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The end\n", "\n", "That's all, folks! This very basic tutorial is over. If you crave for more, head to the other tutorials: \n", "\n", "* [Advanced tutorial for state-space models](advanced_tutorial_ssm.html): covers the same topics as above (filtering, smoothing, parameter estimation for state-space models) but with more details.\n", "* [Tutorial on Bayesian estimation](Bayes_estimation_ssm.html): covers PMCMC and SMC^2 algorithms that may be used to estimate the parameters of a state-space model. \n", "* [Tutorial on SMC samplers](SMC_samplers_tutorial.html): a tutorial on how to run a SMC sampler (such as IBIS or tempering SMC) for a given static target distribution. \n", "* [How to define manually Feynman-Kac models](Defining_Feynman-Kac_models_manually.html): an advanced tutorial on how to define your own Feynman-Kac models.\n", "\n" ] } ], "metadata": { "celltoolbar": "Edit 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": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 4 }