{ "cells": [ { "cell_type": "markdown", "id": "d0b76d478a4179b0", "metadata": {}, "source": [ "# Underdamped Langevin Diffusion simulation\n", "\n", "The Underdamped Langevin diffusion (ULD) is an SDE of the form:\n", "\n", "\\begin{align*}\n", " \\mathrm{d} x(t) &= v(t) \\, \\mathrm{d}t \\\\\n", " \\mathrm{d} v(t) &= - \\gamma \\, v(t) \\, \\mathrm{d}t - u \\,\n", " \\nabla \\! f( x(t) ) \\, \\mathrm{d}t + \\sqrt{2 \\gamma u} \\, \\mathrm{d} w(t),\n", "\\end{align*}\n", "\n", "where $x(t), v(t) \\in \\mathbb{R}^d$ represent the position\n", "and velocity, $w$ is a Brownian motion in $\\mathbb{R}^d$,\n", "$f: \\mathbb{R}^d \\rightarrow \\mathbb{R}$ is a potential function, and\n", "$\\gamma , u \\in \\mathbb{R}^{d \\times d}$ are diagonal matrices governing\n", "the friction and the damping of the system.\n", "\n", "## ULD for Monte Carlo and Bayesian inference\n", "\n", "ULD is commonly used in Monte Carlo applications since it allows us to sample from its stationary distribution $p = \\frac{\\exp(-f)}{C}$ even when its normalising constant $C = \\int p(x) dx$ is unknown. This is because only knowledge of $\\nabla f$ is required, which doesn't depend on $C$. For an example of such an application see section 5.2 of the paper on [Single-seed generation of Brownian paths](https://arxiv.org/abs/2405.06464).\n", "\n", "## ULD solvers in Diffrax\n", "\n", "In addition to generic SDE solvers (which can solve any SDE including ULD), Diffrax has some solvers designed specifically for ULD. These are `diffrax.ALIGN` which has a 2nd order of strong convergence, and `diffrax.QUICSORT` and `diffrax.ShOULD` which are 3rd order solvers. Note that unlike ODE solvers which can have orders of 5 or even higher, very few types of SDEs permit solvers with a strong order greater than $\\frac{1}{2}$.\n", "\n", "These ULD-specific solvers only accept terms of the form `MultiTerm(UnderdampedLangevinDriftTerm(gamma, u, grad_f), UnderdampedLangevinDiffusionTerm(gamma, u, bm))`.\n", "\n", "## A 2D harmonic oscillator\n", "\n", "In this example we will simulate a simple harmonic oscillator in 2 dimensions. This system is given by the potential $f(x) = x^2$." ] }, { "cell_type": "code", "execution_count": 3, "id": "9deba250066ddc39", "metadata": { "ExecuteTime": { "end_time": "2024-09-01T17:24:08.608664Z", "start_time": "2024-09-01T17:24:06.215228Z" } }, "outputs": [], "source": [ "from warnings import simplefilter\n", "\n", "\n", "simplefilter(action=\"ignore\", category=FutureWarning)\n", "import diffrax\n", "import jax.numpy as jnp\n", "import jax.random as jr\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "t0, t1 = 0.0, 20.0\n", "dt0 = 0.05\n", "saveat = diffrax.SaveAt(steps=True)\n", "\n", "# Parameters\n", "gamma = jnp.array([2, 0.5], dtype=jnp.float32)\n", "u = jnp.array([0.5, 2], dtype=jnp.float32)\n", "x0 = jnp.zeros((2,), dtype=jnp.float32)\n", "v0 = jnp.zeros((2,), dtype=jnp.float32)\n", "y0 = (x0, v0)\n", "\n", "# Brownian motion\n", "bm = diffrax.VirtualBrownianTree(\n", " t0, t1, tol=0.01, shape=(2,), key=jr.key(0), levy_area=diffrax.SpaceTimeTimeLevyArea\n", ")\n", "\n", "drift_term = diffrax.UnderdampedLangevinDriftTerm(gamma, u, lambda x: 2 * x)\n", "diffusion_term = diffrax.UnderdampedLangevinDiffusionTerm(gamma, u, bm)\n", "terms = diffrax.MultiTerm(drift_term, diffusion_term)\n", "\n", "solver = diffrax.QUICSORT(100.0)\n", "sol = diffrax.diffeqsolve(\n", " terms, solver, t0, t1, dt0=dt0, y0=y0, args=None, saveat=saveat\n", ")\n", "xs, vs = sol.ys" ] }, { "cell_type": "code", "execution_count": 2, "id": "62da2ddbaaf98f47", "metadata": { "ExecuteTime": { "end_time": "2024-09-01T17:23:09.939787Z", "start_time": "2024-09-01T17:23:09.786782Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the trajectory against time and velocity against time in a separate plot\n", "fig, axs = plt.subplots(2, 1, figsize=(10, 10))\n", "axs[0].plot(sol.ts, xs[:, 0], label=\"x1\")\n", "axs[0].plot(sol.ts, xs[:, 1], label=\"x2\")\n", "axs[0].set_xlabel(\"Time\")\n", "axs[0].set_ylabel(\"Position\")\n", "axs[0].legend()\n", "axs[0].grid()\n", "\n", "axs[1].plot(sol.ts, vs[:, 0], label=\"v1\")\n", "axs[1].plot(sol.ts, vs[:, 1], label=\"v2\")\n", "axs[1].set_xlabel(\"Time\")\n", "axs[1].set_ylabel(\"Velocity\")\n", "axs[1].legend()\n", "axs[1].grid()\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 5 }