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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…