Dynestyx: A Probabilistic Programming Library for State-Space Models and Dynamical Systems
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[Submitted on 15 Jun 2026]
Summary
The article introduces dynestyx, a probabilistic programming library designed specifically for state-space models (SSMs) used in Bayesian analysis of dynamical systems. It addresses the difficulty of incorporating dynamical systems into modern probabilistic programming languages (PPLs), making advanced Bayesian methods more accessible. The library provides a unified interface for specifying priors for discrete-time or continuous-time dynamical systems, performing inference over mixed-effect data, and producing state and parameter estimates with principled uncertainty quantification. Applications span statistics, signal processing, and machine learning.
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Key quotes
· 3 pulledState-space models (SSMs) are the standard formalism for Bayesian treatment of dynamical systems, with natural applications in statistics, signal processing, and machine learning.
Despite their importance in both theory and application, dynamical systems have proven difficult to incorporate in modern probabilistic programming languages (PPLs), making state-of-the-art methods less accessible to practitioners and introducing friction in following the 'Bayesian workflow.'
Through a single, unified interface, users may specify arbitrary priors for discrete-time or continuous-time dynamical systems, perform inference over mixed-effect data, and make state and parameter estimates with principled uncertainty quantification.
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