29 citations · 47 across the 10 of their papers we have counts for
11 papers
Inverse Problems Over Probability Measure Space
Qin Li, Maria Oprea, Li Wang +1
Define a forward problem as , where the probability distribution is mapped to another distribution using the forward operator . In this work, we inves…
Reconstruction of heat relaxation index in phonon transport equation
Peiyi Chen, Irene M. Gamba, Qin Li +1
For nano-materials, heat conductivity is an ill-defined concept. This classical concept assumes the validity of Fourier's law, which states the heat flux is proportional to tempera…
Least-Squares Problem Over Probability Measure Space
Qin Li, Li Wang, Yunan Yang
In this work, we investigate the variational problem where quantifies the difference between two probability measures, and…
Stochastic Inverse Problem: stability, regularization and Wasserstein gradient flow
Qin Li, Maria Oprea, Li Wang +1
Inverse problems in physical or biological sciences often involve recovering an unknown parameter that is random. The sought-after quantity is a probability distribution of the unk…
Suppressing Instability in a Vlasov-Poisson System by an External Electric Field Through Constrained Optimization
Lukas Einkemmer, Qin Li, Li Wang +1
Fusion energy offers the potential for the generation of clean, safe, and nearly inexhaustible energy. While notable progress has been made in recent years, significant challenges…
Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation
Qin Li, Li Wang, Yunan Yang
Can Monte Carlo (MC) solvers be directly used in gradient-based methods for PDE-constrained optimization problems? In these problems, a gradient of the loss function is typically p…
Stability of inverse transport equation in diffusion scaling and Fokker-Planck limit
Ke Chen, Qin Li, Li Wang
We consider the inverse problem of reconstructing the scattering and absorption coefficients using boundary measurements for a time dependent radiative transfer equation (RTE). As…
A new numerical approach to inverse transport equation with error analysis
Qin Li, Ruiwen Shu, Li Wang
The inverse radiative transfer problem finds broad applications in medical imaging, atmospheric science, astronomy, and many other areas. This problem intends to recover the optica…
Stability of Stationary Inverse Transport Equation in Diffusion Scaling
Ke Chen, Qin Li, Li Wang
We consider the inverse problem of reconstructing the optical parameters for stationary radiative transfer equation (RTE) from velocity-averaged measurement. The RTE often contains…
Uniform regularity for linear kinetic equations with random input based on hypocoercivity
Qin Li, Li Wang
In this paper we study the effect of randomness in kinetic equations that preserve mass. Our focus is in proving the analyticity of the solution with respect to the randomness, whi…
Implicit Asymptotic Preserving Method for Linear Transport Equations
Qin Li, Li Wang
The computation of the radiative transfer equation is expensive mainly due to two stiff terms: the transport term and the collision operator. The stiffness in the former comes from…