A New Distribution-Free Concept for Representing, Comparing, and Propagating Uncertainty in Dynamical Systems with Kernel Probabilistic Programming

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Publication:6329844

arXiv1911.11082MaRDI QIDQ6329844

Author name not available (Why is that?)

Publication date: 25 November 2019

Abstract: This work presents the concept of kernel mean embedding and kernel probabilistic programming in the context of stochastic systems. We propose formulations to represent, compare, and propagate uncertainties for fairly general stochastic dynamics in a distribution-free manner. The new tools enjoy sound theory rooted in functional analysis and wide applicability as demonstrated in distinct numerical examples. The implication of this new concept is a new mode of thinking about the statistical nature of uncertainty in dynamical systems.




Has companion code repository: https://github.com/jj-zhu/leibniz-ss-2021








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