7 papers
An exploration of plug-and-play flow matching for full-waveform inversion on breast imaging
Cristina Garcia-Cardona, Siting Liu, Fatma Terzioglu +2
Full-waveform inversion (FWI) reconstructs sound-speed fields from measured waveforms, by solving an optimization problem that minimizes the discrepancy between measured waveforms…
Geometry-informed importance sampling for rare events
Qinyi Wang, Anya Katsevich, Shanyin Tong
We propose GeoIS, a new importance sampling method for estimating rare event probabilities for an underlying Gaussian distribution that exploits asymptotic theory and local event g…
Reduced order model for parametric Boltzmann equation and its application to inverse problems
Shanyin Tong, Jingwei Hu, Fengyan Li +3
The Boltzmann equation plays an important role in modeling mesoscopic behavior in a wide range of scientific and engineering applications. However, its numerical solution is comput…
Data-driven reduced-order models for the radiative transfer equation
Yinxi Pan, Kui Ren, Shanyin Tong
We present a data-driven reduced-order modeling (ROM) framework for the zeroth angular moment of the solution to the radiative transfer equation (RTE) rather than the full phase-sp…
Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures
Jiajia Yu, Jingwei Hu, Fengyan Li +3
Parametrized PDEs with density-valued solutions are often difficult to approximate with classical linear reduced-order models, especially in transport-dominated regimes. We introdu…
A Policy Iteration Method for Inverse Mean Field Games
Kui Ren, Nathan Soedjak, Shanyin Tong
We propose a policy iteration method to solve an inverse problem for a mean-field game (MFG) model, specifically to reconstruct the obstacle function in the game from the partial o…
A three-stage method for reconstructing multiple coefficients in coupled photoacoustic and diffuse optical imaging
Yinxi Pan, Kui Ren, Shanyin Tong
This paper studies inverse problems in quantitative photoacoustic tomography with additional optical current data supplemented from diffuse optical tomography. We propose a three-s…