A new network approach to Bayesian inference in partial differential equations

Summary We introduce a novel numerical approach to parameter estimation in partial differential equations in a Bayesian inference context. The main idea is to translate the equation into a state‐discrete dynamic Bayesian network with the discretization of cellular probabilistic automata. There exist...

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Veröffentlicht in:	International journal for numerical methods in engineering 2015-11, Vol.104 (5), p.313-329
Hauptverfasser:	Kohler, Dominic, Marzouk, Youssef M., Müller, Johannes, Wever, Utz
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Arsenates Bayesian analysis Boyen-Koller algorithm cellular probabilistic automata dynamic Bayesian networks hyperbolic Inference inverse Mathematical models Networks Partial differential equations probabilistic methods Probability theory
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