3 papers
math.NA2024
Unique reconstruction for discretized inverse problems: a random sketching approach via subsampling
Ruhui Jin, Qin Li, Anjali Nair +1
Theoretical inverse problems are often studied in an ideal infinite-dimensional setting. The well-posedness theory provides a unique reconstruction of the parameter function, when…
physics.optics2024
Estimating the time-evolving refractivity of a turbulent medium using optical beam measurements: a data assimilation approach
Anjali Nair, Qin Li, Samuel N. Stechmann
In applications such as free-space optical communication, a signal is often recovered after propagation through a turbulent medium. In this setting, it is common to assume that lim…
math.AP2024
Reconstruction of the Doping Profile in Vlasov-Poisson
Ru-Yu Lai, Qin Li, Weiran Sun
We study the inverse problem of recovering the doping profile in the stationary Vlasov-Poisson equation, given the knowledge of the incoming and outgoing measurements at the bounda…