3 papers
math.ST2026
Posterior Consistency for Recovering Initial States in Nonlinear Subdiffusion Equations
Haoyu Lu, Shaokang Zu, Junxiong Jia
We study the Bayesian recovery of the initial state in a semilinear time-fractional subdiffusion equation from noisy random space-time point observations. A rescaled Gaussian prior…
math.ST2025
Consistency of variational inference for Besov priors in non-linear inverse problems
Shaokang Zu, Junxiong Jia, Zhiguo Wang
This study investigates the variational posterior convergence rates of inverse problems for partial differential equations (PDEs) with parameters in Besov spaces ($p \ge…
math.ST2024
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…