An information field theory approach to Bayesian state and parameter estimation in dynamical systems

2024/05/28 by Kairui Hao, Ilias Bilionis · 6 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Artificial intelligence #Bayes estimator #Bayesian probability #Computer science #Dynamical systems theory #Engineering #Estimation #Estimation theory #Field (mathematics) #Gaussian Processes and Bayesian Inference #Mathematics #Model Reduction and Neural Networks #Physics #State (computer science) #Statistical physics #Target Tracking and Data Fusion in Sensor Networks

paper · doi:10.1016/j.jcp.2024.113139

published in Journal of Computational Physics 512, 113139 (Elsevier BV)

openalex publication_date 2024/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Citations

• On Information and Sufficiency
• A Stochastic Approximation Method
• Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
• Multi-fidelity Bayesian Neural Networks: Algorithms and Applications