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math.ST2026
Consistency of Variational Inference for Nonlinear Inverse Problems of Partial Differential Equations
Shaokang Zu, Junxiong Jia, Deyu Meng
We investigate the convergence rates of variational posterior distributions for statistical inverse problems involving nonlinear partial differential equations (PDEs). Departing fr…
math.ST2026
Nonparametric Prior Learning in Differential Equation Modeling
Junxiong Jia, Deyu Meng, Zongben Xu +1
This paper addresses Bayesian inference related to partial differential equations (PDEs), particularly nonparametric regression constrained by PDEs. To effectively encode prior inf…