Project B08
Bayesian inference and mean field approximation for nonlinear (S)PDE

Project description

This project revisits Bayesian methods for complex problems like SDE/PDE parameter identification, focusing on stochastic and rough path systems. It aims to provide error guarantees for discretely observed multidimensional SDEs and McKean-Vlasov SDEs, define applicability using critical parameter dimension, develop Bayesian optimization-based solutions, and explore likelihood-based MCMC methods and error-in-operator problems in stochastic diffusions. 

Principal Investigators

Claudia Schillings (FU Berlin)

Vladimir Spokoiny (HU Berlin)

Sven Wang (HU Berlin)

Project members

Oleg Butkovsky (WIAS & HU Berlin)

Ilja Klebanov (FU Berlin)

Paolo Villani (FU Berlin)

Dana Wrischnig (FU Berlin)

Publications

• Butkovsky, O., Lê, K., Mytnik, L., 2025. Stochastic equations with singular drift driven by fractional Brownian motion. Prob. Math. Phys. 6, 857–912. https://doi.org/10.2140/pmp.2025.6.857

Preprints