Showing math.NAShow all
3 papers · 1 filter
math.NA2026
ROMNet: a hybrid reduced order modeling and machine learning approach to waveform inversion
Liliana Borcea, Alexander Mamonov, Kui Ren +2
Waveform inversion seeks to estimate the wave speed of a heterogeneous, inaccessible medium, from time-resolved measurements of the waves at user controlled sensors. We consider th…
math.NA2026
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…
math.NA2024
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…