{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# ODE-Solvers from Scratch\n", "\n", "All the other tutorials show how to use the ODE-solver with the `probsolve_ivp` function.\n", "This is great, though `probnum` has more customisation to offer." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import probnum.diffeq as pnd\n", "import probnum.filtsmooth as pnfs\n", "import probnum.random_variables as pnrv\n", "import numpy as np\n", "\n", "import matplotlib.pyplot as plt\n", "plt.style.use(\"../../probnum.mplstyle\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we define the ODE problem. As always, we use Lotka-Volterra. It is important that `initrv` is an actual random variable. Arrays can be wrapped with `probnum.random_variables.Constant`. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "ivp = pnd.lotkavolterra([0.0, 20.0], initrv=pnrv.Constant(np.array([20.0, 20.0])))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we define a prior distribution and a measurement model. The former allows any `Integrator`, which currently restricts the choice to `IBM`, `IOUP`, and `Matern`. \n", "The measurement model requires a choice between EK0, EK1 (extended Kalman filters of order 0 or 1, respectively) and UK (unscented Kalman filter). \n", "After this choice is made, each of those classes offer a constructor that defines the model directly from the initial value problem, e.g. `DiscreteUKFComponent.from_ode(ivp, prior, evlvar)`. `evlvar` is usually zero. The prior is the `Integrator` chosen above. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "prior = pnfs.statespace.IBM(ordint=4, spatialdim=ivp.dimension, diffconst=1.0)\n", "ekf = pnfs.DiscreteEKFComponent.from_ode(ivp, prior, np.zeros((2, 2)), ek0_or_ek1=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we turn this into a `Kalman` object which will do all the heavy lifting for the ODE solver. To this end, we need to define an initial distribution. In `probsolve_ivp`, this is automatised by using as many derivatives as the `IVP` object allows (max. 2). \n", "\n", "This time, assume that some bird told us about the real derivatives of the initial values (*stay tuned for more on this*). This can be used to define a more robust ODE solver." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "initial_values = np.array(\n", " [\n", " 20.0,\n", " -10.0,\n", " -5.0,\n", " 17.5,\n", " 8.75,\n", " 20.0,\n", " 10.0,\n", " -5.0,\n", " -17.5,\n", " 8.75,\n", " ]\n", ")\n", "initrv = pnrv.Normal(\n", " initial_values, np.zeros((len(initial_values), len(initial_values)))\n", ")\n", "kalman = pnfs.Kalman(prior, ekf, initrv)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "solver = pnd.GaussianIVPFilter(ivp, kalman, with_smoothing=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can solve the ODE. To this end, define a `StepRule`, e.g. `ConstantSteps` or `AdaptiveSteps`. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "steprule = pnd.ConstantSteps(0.1)\n", "odesol = solver.solve(steprule=steprule)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`GaussianIVPFilter.solve` returns an `ODESolution` object, which is sliceable and callable. The latter can be used to plot the solution on a uniform grid, even though the solution was computed on an adaptive grid. Be careful: the return values of `__call__`, etc., are always random variable-like objects. We decide to plot the mean." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "evalgrid = np.arange(ivp.t0, ivp.tmax, step=0.1)\n", "y = odesol(evalgrid).mean" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Et voila: this is the solution to the Lotka-Volterra model." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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\n", 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