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- W4385890244 abstract "We derive a Bernstein von-Mises theorem in the context of misspecified, non-i.i.d., hierarchical models parametrized by a finite-dimensional parameter of interest. We apply our results to hierarchical models containing non-linear operators, including the squared integral operator, and PDE-constrained inverse problems. More specifically, we consider the elliptic, time-independent Schrodinger equation with parametric boundary condition and general parabolic PDEs with parametric potential and boundary constraints. Our theoretical results are complemented with numerical analysis on synthetic data sets, considering both the square integral operator and the Schrodinger equation." @default.
- W4385890244 created "2023-08-17" @default.
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- W4385890244 date "2023-08-15" @default.
- W4385890244 modified "2023-10-16" @default.
- W4385890244 title "Misspecified Bernstein-Von Mises theorem for hierarchical models" @default.
- W4385890244 doi "https://doi.org/10.48550/arxiv.2308.07803" @default.
- W4385890244 hasPublicationYear "2023" @default.
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