Comment on "Inferring the Dynamics of Underdamped Stochastic Systems"
Yeeren I. Low
TL;DR
This note critiques and corrects errors in a recent method for inferring underdamped Langevin system dynamics from noisy measurements.
Contribution
It provides clarifications and corrections to a previously published method for more accurate inference of stochastic system dynamics.
Findings
Identifies significant errors in the original method.
Provides corrected explanations and formulas.
Enhances the reliability of dynamics inference in noisy underdamped systems.
Abstract
D. B. Br\"{u}ckner et al. [Phys. Rev. Lett. 125, 058103 (2020)] have described a novel method for inferring the dynamics of systems governed by an underdamped Langevin equation in the presence of measurement noise. While this is a significant achievement, the paper also presents a number of significant errors. These are explained and corrected in this note.
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