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Paper · arXiv

Nonlocal Bayesian Modeling of Continuous Spatio-Temporal Dynamics

Real-world spatio-temporal forecasting must handle irregular time points, spatially sparse observations, and the need for uncertainty quantification. This setting is often further compounded by nonlocal interactions (long-range spatial coupling). Modeling continuous-space, continuous-time nonlocal dynamics naturally leads to infinite-dimensional integro-differential equations (IDEs), making principled Bayesian inference intractable. We propose the NonLocal Bayesian Spatio-Temporal model (NLBST), a hierarchical Bayesian framework for continuous spatio-temporal fields that learns explicit nonlocal coupling while retaining tractable inference. NLBST represents the latent field via a coordina...

AuthorsJaeyeong Lee, Heeyoung Kim
Primary categorystat.ML
Published12 June 2026
Last updated at source12 June 2026
stat.MLcs.LG
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