{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Particle filtering\n", "\n", "In this tutorial we explain how to use `ProbNum` for particle filtering.\n", "We assume that you have read the tutorial on non-linear filtering." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from probnum import filtsmooth, randvars, diffeq, randprocs, problems\n", "from probnum.problems import TimeSeriesRegressionProblem\n", "from scipy import stats" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "rng = np.random.default_rng(seed=123)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Make inline plots vector graphics instead of raster graphics\n", "%matplotlib inline\n", "from IPython.display import set_matplotlib_formats\n", "\n", "set_matplotlib_formats(\"pdf\", \"svg\")\n", "\n", "# Plotting\n", "import matplotlib.pyplot as plt\n", "\n", "plt.style.use(\"../../probnum.mplstyle\")\n", "\n", "# Consistent plotting styles for particles and for \"true\" latent states\n", "particle_style = {\n", " \"color\": \"C1\",\n", " \"marker\": \"o\",\n", " \"markersize\": 5,\n", " \"linestyle\": \"None\",\n", " \"alpha\": 0.5,\n", "}\n", "latent_state_style = {\"color\": \"C0\", \"linewidth\": 5, \"linestyle\": \"-\", \"alpha\": 0.5}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pendulum\n", "\n", "We begin with setting up the pendulum problem, which is a standard non-linear test problem. The code below is taken from the non-linear filtering notebook.\n", "\n", "We begin by assembling a `NonlinearGaussian` as a model of the prior dynamics." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "state_dim = 2\n", "observation_dim = 1\n", "\n", "# approx. gravitational constant\n", "g = 9.81\n", "delta_t = 0.05\n", "\n", "\n", "def pendulum_rhs(state):\n", " \"\"\"Right-hand side of an ODE that defines pendulum dynamics\"\"\"\n", " x1, x2 = state\n", " y1 = x1 + x2 * delta_t\n", " y2 = x2 - g * np.sin(x1) * delta_t\n", " return np.array([y1, y2])\n", "\n", "\n", "def pendulum_jacobian(state):\n", " \"\"\"Jacobian of the pendulum ODE\"\"\"\n", " x1, x2 = state\n", " dy1_dx = [1.0, delta_t]\n", " dy2_dx = [-g * np.cos(x1) * delta_t, 1.0]\n", " return np.array([dy1_dx, dy2_dx])\n", "\n", "\n", "dynamics_transition_function = lambda t, state: pendulum_rhs(state)\n", "dynamics_transition_jacobian_function = lambda t, state: pendulum_jacobian(state)\n", "\n", "dynamics_diffusion_matrix = 1.0 * (\n", " np.diag(np.array([delta_t ** 3 / 3, delta_t]))\n", " + np.diag(np.array([delta_t ** 2 / 2]), 1)\n", " + np.diag(np.array([delta_t ** 2 / 2]), -1)\n", ")\n", "\n", "# Create discrete, non-linear Gaussian dynamics model\n", "dynamics_model = randprocs.markov.discrete.NonlinearGaussian(\n", " input_dim=state_dim,\n", " output_dim=state_dim,\n", " state_trans_fun=dynamics_transition_function,\n", " proc_noise_cov_mat_fun=lambda t: dynamics_diffusion_matrix,\n", " jacob_state_trans_fun=dynamics_transition_jacobian_function,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we set up the measurement model as another discrete, non-linear Gaussian transformation." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def pendulum_measurement(state):\n", " x1, x2 = state\n", " return np.array([np.sin(x1)])\n", "\n", "\n", "def pendulum_measurement_jacobian(state):\n", " x1, x2 = state\n", " return np.array([[np.cos(x1), 0.0]])\n", "\n", "\n", "measurement_function = lambda t, state: pendulum_measurement(state)\n", "measurement_jacobian_function = lambda t, state: pendulum_measurement_jacobian(state)\n", "\n", "measurement_variance = 0.12 ** 2\n", "measurement_covariance = measurement_variance * np.eye(observation_dim)\n", "\n", "# Create discrete, non-linear Gaussian measurement model\n", "measurement_model = randprocs.markov.discrete.NonlinearGaussian(\n", " input_dim=state_dim,\n", " output_dim=observation_dim,\n", " state_trans_fun=measurement_function,\n", " proc_noise_cov_mat_fun=lambda t: measurement_covariance,\n", " jacob_state_trans_fun=measurement_jacobian_function,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we define the initial distribution: a Gaussian random variable. We also generate some artificial observations." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "mu_0 = np.ones(state_dim)\n", "sigma_0 = measurement_variance * np.eye(state_dim)\n", "initial_state_rv = randvars.Normal(mean=mu_0, cov=sigma_0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we're essentially good to go. With this setup we could do non-linear Gaussian filtering (extended Kalman filtering, unscented Kalman filtering), but here, we avoid the Gaussian approximations and do particle filtering.\n", "\n", "To construct a particle filter, we provide prior, measurement model, and initial RV as well as\n", "\n", "* The number of particles: `num_particles`. The larger the better, but also the larger the slower (it is Monte Carlo approximation, after all).\n", "* A linearized measurement model that is used as an importance density: `linearized_measurement_model`. In ProbNum we implement two types of particle filters: a bootstrap particle filter, that uses the prior as an importance distribution (which always works, but also requires a lot of particles -- this is what is used in `linearized_measurement_model` is left empty), and a particle filter that uses an approximate Gaussian filter as an importance density. In the pendulum example, we do the latter, because the extended Kalman filter has already been proven to be successful." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "num_particles = 20\n", "prior_process = randprocs.markov.MarkovProcess(\n", " transition=dynamics_model, initrv=initial_state_rv, initarg=0.0\n", ")\n", "importance_distribution = filtsmooth.particle.LinearizationImportanceDistribution.from_ekf(\n", " dynamics_model\n", ")\n", "\n", "# Construct the PF\n", "pf = filtsmooth.particle.ParticleFilter(\n", " prior_process,\n", " rng=rng,\n", " importance_distribution=importance_distribution,\n", " num_particles=num_particles,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Generate Data for the State-Space Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`statespace.generate_artificial_measurements()` is used to sample both latent states and noisy observations from the specified state space model." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "time_grid = np.arange(0.0, 3.5, step=delta_t)\n", "latent_states, observations = randprocs.markov.utils.generate_artificial_measurements(\n", " rng=rng,\n", " prior_process=prior_process,\n", " measmod=measurement_model,\n", " times=time_grid,\n", ")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "regression_problem = TimeSeriesRegressionProblem(\n", " observations=observations,\n", " locations=time_grid,\n", " measurement_models=[measurement_model] * len(time_grid),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The remainder is the same `.filter()` interface that we know from Gaussian filtering.\n", "After applying this method, we plot the mode of the posterior distribution." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "posterior, _ = pf.filter(regression_problem)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "application/pdf": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(\n", " time_grid, np.sin(latent_states[:, 0]), **latent_state_style, label=\"Latent state\"\n", ")\n", "plt.plot(\n", " time_grid,\n", " np.sin(posterior.states.mode[:, 0]),\n", " **particle_style,\n", " label=\"Mode of posterior\"\n", ")\n", "plt.xlabel(\"t\")\n", "plt.ylabel(r\"$x$\")\n", "plt.legend()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It seems that the true latent state is recovered fairly well.\n", "The RMSE of the mode is also much smaller than the RMSE of the data:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mode of PF: \t1.3104582172798598\n", "Observations: \t61.48996491275069\n" ] } ], "source": [ "rmse_mode = np.linalg.norm(\n", " np.sin(posterior.states.mode[:, 0]) - np.sin(latent_states[:, 0])\n", ")\n", "rmse_data = np.linalg.norm(observations - np.sin(latent_states[:, 0]))\n", "print(f\"Mode of PF: \\t{rmse_mode}\\nObservations: \\t{rmse_data}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The strength of a particle filter is not the point estimate, but the posterior distribution. \n", "Let us look at a few more particles. Since we want to exclude the unlikely states from the visualization, we resample the posterior before plotting.\n", "This way, only those states that have sufficient probability to be resampled are shown." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "application/pdf": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Remove the unlikely particles by resampling the posterior\n", "resampled_states = posterior.states.resample(rng=rng)\n", "\n", "plt.plot(\n", " time_grid, np.sin(latent_states[:, 0]), **latent_state_style, label=\"Latent state\"\n", ")\n", "plt.plot(\n", " time_grid,\n", " np.sin(resampled_states.support[:, :, 0]),\n", " **particle_style,\n", " label=\"Particles\"\n", ")\n", "plt.xlabel(\"t\")\n", "plt.ylabel(r\"$x$\")\n", "\n", "# Remove duplicate legend entries before showing the legend\n", "handles, labels = plt.gca().get_legend_handles_labels()\n", "by_label = dict(zip(labels, handles))\n", "plt.legend(by_label.values(), by_label.keys())\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It seems that the distribution nicely concentrates around the true state." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ODEs\n", "\n", "Particle filters can also be used to solve ODEs (in a very basic way -- if you need a reliant method, use the ODE solvers in `diffeq` instead).\n", "\n", "Let us consider a Bernoulli equation,\n", "$$\n", "\\dot y(t) = 1.5 (y - y^3), \\quad y(0) \\approx 0,\n", "$$\n", "\n", "which has two stable equilibria: one at $\\pm 1$ each, which are reached depending on the sign of the initial value. There is also an unstable equilibrium at $0.$.\n", "\n", "We begin by setting up this ODE in the language of `probnum.diffeq`." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def bern_rhs(t, x):\n", " return 1.5 * (x - x ** 3)\n", "\n", "\n", "def bern_jac(t, x):\n", " return np.array([1.5 * (1 - 3 * x ** 2)])\n", "\n", "\n", "t0, tmax = 0.0, 6.0\n", "y0 = np.array([0.0])\n", "bernoulli = problems.InitialValueProblem(t0=t0, tmax=tmax, y0=y0, f=bern_rhs, df=bern_jac)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will not go into detail about how to turn an ODE into a filtering problem, but in a nutshell: you need a `statespace.Integrator` prior, and a measurement model that \"punishes\" the discrepancy of the ODE $\\dot y - f(y)$. We construct both. As an initial random variable we choose a Gaussian random variable (whose dimension must match the dimension of the prior, not of the ODE!). We add a bit of \"evaluation variance\" (`evlvar`), because the particle filter struggles with noise-free observations." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "dynamod = randprocs.markov.integrator.IntegratedWienerTransition(num_derivatives=2, wiener_process_dimension=1, forward_implementation=\"sqrt\")\n", "\n", "initmean = np.array([0.0, 0, 0.0])\n", "initcov = 0.0125 * np.diag([1, 1.0, 1.0])\n", "initrv = randvars.Normal(initmean, initcov, cov_cholesky=np.sqrt(initcov))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As in the pendulum example, we use an extended Kalman filter importance distribution." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "num_particles = 50\n", "ode_prior = randprocs.markov.MarkovProcess(transition=dynamod, initrv=initrv, initarg=0.0)\n", "importance = filtsmooth.particle.LinearizationImportanceDistribution.from_ekf(\n", " dynamod, backward_implementation=\"sqrt\", forward_implementation=\"sqrt\"\n", ")\n", "\n", "ode_pf = filtsmooth.particle.ParticleFilter(\n", " ode_prior,\n", " rng=rng,\n", " importance_distribution=importance,\n", " num_particles=num_particles,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ODE filtering problem consists of evenly spaced points and data that is equal to zero. The rest is `ParticleFilter.filter()`." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "num_locs = 50\n", "data = np.zeros((num_locs, 1))\n", "locs = np.linspace(0.0, tmax, num_locs)\n", "\n", "info_op = diffeq.odefilter.information_operators.ODEResidual(num_prior_derivatives=2, ode_dimension=1)\n", "ek1 = diffeq.odefilter.approx_strategies.EK1()\n", "\n", "regression_problem = diffeq.odefilter.utils.ivp_to_regression_problem(\n", " ivp=bernoulli,\n", " locations=locs,\n", " ode_information_operator=info_op,\n", " approx_strategy=ek1,\n", " exclude_initial_condition=True,\n", " ode_measurement_variance=0.00001,\n", ")\n", "\n", "ode_posterior, _ = ode_pf.filter(regression_problem)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We plot the entire set of particles. Again, we resample in order to exclude the unlikely particles from the visualization." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "application/pdf": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.axhline(+1, **latent_state_style, label=\"Stable equilibrium\")\n", "plt.axhline(0.0, linestyle=\"dotted\", alpha=0.5, label=\"Unstable equilibrium\")\n", "plt.axhline(-1, **latent_state_style)\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$y(t)$\")\n", "plt.plot(\n", " locs,\n", " ode_posterior.states.resample(rng=rng).support[:, :, 0],\n", " **particle_style,\n", " label=\"Particles\"\n", ")\n", "\n", "# Remove duplicate legend entries\n", "handles, labels = plt.gca().get_legend_handles_labels()\n", "by_label = dict(zip(labels, handles))\n", "plt.legend(by_label.values(), by_label.keys())\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Depending on the position of the initial particle (which is a sample from the initial random variable), the trajectories either approach +1 or -1. Eventually, they all get there." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary\n", "\n", "Particle filtering seamlessly blends into the filtering and smoothing code in ProbNum. It can be constructed with the same ingredients as a Gaussian filter, but of course there are fewer restrictions on tractability in those models (any non-linear discrete model works well).\n", "Choices are the bootstrap filter (if `linearized_measurement_model` is left empty) or one with a Gaussian filter used as an importance density (if e.g. `DiscreteUKFComponent` or `DiscreteEKFComponent`) are provided.\n", "\n", "Its results infer the true latent states well on simple problems, and the family of particles displays differnet paths of the potential solution (which is especially evident in the ODE example)." ] } ], "metadata": { "celltoolbar": "Edit 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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 4 }