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arXiv · 2409.02399

Guidance for twisted particle filter: a continuous-time perspective

Jianfeng Lu·Yuliang Wang
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Abstract

The particle filter (PF), also known as sequential Monte Carlo (SMC), approximates high-dimensional probability distributions and their normalizing constants in the discrete-time setting. To reduce the variance of the Monte Carlo approximation, various twisted particle filters (TPFs) have been proposed, in which a twisting function is chosen or learned to modify the Markov transition kernel. Guided by existing control-based importance sampling algorithms in the continuous-time setting, we propose a novel algorithm called the ``Twisted-Path Particle Filter'' (TPPF), in which the twisting function is parameterized by a neural network and trained to minimize a specific KL-divergence between path measures. Numerical experiments illustrate the capability of the proposed algorithm.

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Jianfeng Lu, Yuliang Wang. 2024-09-04. Guidance for twisted particle filter: a continuous-time perspective. https://arxiv.org/abs/2409.02399

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