April 19, 2024, 4:42 a.m. | Wojciech Anyszka

cs.LG updates on arXiv.org arxiv.org

arXiv:2404.12070v1 Announce Type: cross
Abstract: Observable operator models (OOMs) offer a powerful framework for modelling stochastic processes, surpassing the traditional hidden Markov models (HMMs) in generality and efficiency. However, using OOMs to model infinite-dimensional processes poses significant theoretical challenges. This article explores a rigorous approach to developing an approximation theory for OOMs of infinite-dimensional processes. Building upon foundational work outlined in an unpublished tutorial [Jae98], an inner product structure on the space of future distributions is rigorously established and the …

abstract approximation article arxiv challenges cs.lg efficiency framework hidden however markov math.pr modelling observable processes stat.ml stochastic theory type

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