activity
20202026
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Showing 2024Show all

5 papers · 1 filter

math.NA2024

LazyDINO: Fast, scalable, and efficiently amortized Bayesian inversion via structure-exploiting and surrogate-driven measure transport

Lianghao Cao, Joshua Chen, Michael Brennan +3

We present LazyDINO, a transport map variational inference method for fast, scalable, and efficiently amortized solutions of high-dimensional nonlinear Bayesian inverse problems wi…

math.NA2024

Gaussian mixture Taylor approximations of risk measures constrained by PDEs with Gaussian random field inputs

Dingcheng Luo, Joshua Chen, Peng Chen +1

This work considers the computation of risk measures for quantities of interest governed by PDEs with Gaussian random field parameters using Taylor approximations. While efficient,…

math.NA2024

Inference of Heterogeneous Material Properties via Infinite-Dimensional Integrated DIC

Joseph Kirchhoff, Dingcheng Luo, Thomas O'Leary-Roseberry +1

We present a scalable and efficient framework for the inference of spatially-varying parameters of continuum materials from image observations of their deformations. Our goal is th…

gr-qc2024

Tempered Multifidelity Importance Sampling for Gravitational Wave Parameter Estimation

Bassel Saleh, Aaron Zimmerman, Peng Chen +1

Estimating the parameters of compact binaries which coalesce and produce gravitational waves is a challenging Bayesian inverse problem. Gravitational-wave parameter estimation lies…

math.NA2024

Derivative-informed neural operator acceleration of geometric MCMC for infinite-dimensional Bayesian inverse problems

Lianghao Cao, Thomas O'Leary-Roseberry, Omar Ghattas

We propose an operator learning approach to accelerate geometric Markov chain Monte Carlo (MCMC) for solving infinite-dimensional Bayesian inverse problems (BIPs). While geometric…