47 citations · 317 across the 48 of their papers we have counts for
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Online learning in optical tomography: a stochastic approach
Ke Chen, Qin Li, Jian-Guo Liu
We study the inverse problem of radiative transfer equation (RTE) using stochastic gradient descent method (SGD) in this paper. Mathematically, optical tomography amounts to recove…
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…
Sensitivity analysis of Burgers' equation with shocks
Qin Li, Jian-Guo Liu, Ruiwen Shu
Generalized polynomial chaos (gPC) method has been extensively used in uncertainty quantification problems where equations contain random variables. For gPC to achieve high accurac…
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…