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Paper · arXiv

Gradient estimators for parameter inference in discrete stochastic kinetic models

Stochastic kinetic models are ubiquitous in physics, yet inferring their parameters from experimental data remains challenging. For deterministic models, parameter inference often relies on gradients, which can be obtained efficiently through automatic differentiation (AD). However, AD cannot be applied directly to the Gillespie stochastic simulation algorithm (SSA), since sampling from a discrete set of reactions introduces non-differentiable operations. In this work, we adopt three gradient estimators from machine learning for the Gillespie SSA: the Gumbel-Softmax Straight-Through (GS-ST) estimator, the Score Function estimator, and the Alternative Path estimator. We use the estimators ...

AuthorsLudwig Burger, Annalena Kofler, Lukas Heinrich et al.
Primary categoryphysics.comp-ph
Published2 April 2026
Last updated at source3 June 2026
physics.comp-phcond-mat.stat-mechcs.LGphysics.bio-phphysics.chem-ph
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