2 citations · 5 across the 3 of their papers we have counts for
6 papers
Unique determination of absorption coefficients in a semilinear transport equation
Kui Ren, Yimin Zhong
Motivated by applications in quantitative photoacoustic imaging, we study inverse problems to a semilinear radiative transport equation (RTE) where we intend to reconstruct absorpt…
The quadratic Wasserstein metric for inverse data matching
Bjorn Engquist, Kui Ren, Yunan Yang
This work characterizes, analytically and numerically, two major effects of the quadratic Wasserstein () distance as the measure of data discrepancy in computational solutions…
Separability of the kernel function in an integral formulation for anisotropic radiative transfer equation
Kui Ren, Hongkai Zhao, Yimin Zhong
We study in this work an integral formulation for the radiative transfer equation (RTE) in anisotropic media with truncated approximation to the scattering phase function. The inte…
Imaging point sources in heterogeneous environments
Kui Ren, Yimin Zhong
Imaging point sources in heterogeneous environments from boundary or far-field measurements has been extensively studied in the past. In most existing results, the environment, rep…
Surface effects in dense random graphs with sharp edge constraint
Charles Radin, Kui Ren, Lorenzo Sadun
We show that the random number of triangles in a random graph on vertices, with a strict constraint on the total number of edges, admits an expansion $T_n = an^3 + bn^2 +…
A global stability estimate for the photo-acoustic inverse problem in layered media
Kui Ren, Faouzi Triki
This paper is concerned with the stability issue in determining absorption and diffusion coefficients in photoacoustic imaging. Assuming that the medium is layered and the acoustic…