Score-matching Bayesian filtering beyond the Kalman filter

SKF uses moment representations and score matching to handle nonlinear non-Gaussian filtering while exactly recovering Kalman-filter information in the linear-Gaussian case

A tour de force by my student Kaito Iwasaki and collaborators for nonlinear non-Gaussian Bayesian filtering, SKF. Moment representation + score matching -> solving linear systems. It exactly recovers information from KF for linear-Gaussian
Ranked #16 on backlist 2026-05-22 (22 May 2026 UTC) · by (Maani Ghaffari) ·

How it ranks: Backlist reads my Twitter/X timeline, scores every tweet for substance with an LLM rubric (not engagement), and publishes the daily top picks with a one-line takeaway. Curated by Surya Dantuluri.