On posterior consistency of data assimilation with Gaussian process priors: the 2D-Navier-Stokes equations
DOI10.1214/24-aos2427MaRDI QIDQ6621548
Publication date: 18 October 2024
Published in: The Annals of Statistics (Search for Journal in Brave)
posterior distributionnonlinear dynamical systemprior distributionlogarithmic estimateBayesian inference for the initial condition
Gaussian processes (60G15) Asymptotic properties of nonparametric inference (62G20) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
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