4 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 i…
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,…
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…