9 papers
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…
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…
Chosen-Plaintext Attacks of Double Random Phase Encryption with Nonlinear Optical Media
Yan Cheng, Yiwei Chen, Kui Ren +1
This paper studies an inverse problem in nonlinear optical encryption. We examine chosen-plaintext attacks (CPA) on a nonlinear optical encryption strategy that integrates double r…
Instance-Wise Adaptive Sampling for Dataset Construction in Approximating Inverse Problem Solutions
Jiequn Han, Kui Ren, Nathan Soedjak
We propose an instance-wise adaptive sampling framework for constructing compact and informative training datasets for supervised learning of inverse problem solutions. Typical lea…
Phase retrieval via media diversity
Yan Cheng, Kui Ren, Nathan Soedjak
This work studies phase retrieval for wave fields, aiming to recover the phase of an incoming wave from multi-plane intensity measurements behind different types of linear and nonl…
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…
Reconstructing a state-independent cost function in a mean-field game model
Kui Ren, Nathan Soedjak, Kewei Wang +1
In this short note, we consider an inverse problem to a mean-field games system where we are interested in reconstructing the state-independent running cost function from observed…
Unique determination of cost functions in a multipopulation mean field game model
Kui Ren, Nathan Soedjak, Kewei Wang
This paper studies an inverse problem for a multipopulation mean field game (MFG) system where the objective is to reconstruct the running and terminal cost functions of the system…