1 citations · 1 across the 6 of their papers we have counts for
7 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…
Differential-Equation Constrained Optimization With Stochasticity
Qin Li, Li Wang, Yunan Yang
Most inverse problems from physical sciences are formulated as PDE-constrained optimization problems. This involves identifying unknown parameters in equations by optimizing the mo…
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…