4 papers
On the asymptotical regularization for linear inverse problems in presence of white noise
Shuai Lu, Pingping Niu, Frank Werner
We interpret steady linear statistical inverse problems as artificial dynamic systems with white noise and introduce a stochastic differential equation (SDE) system where the inver…
An inverse conductivity problem in multifrequency electric impedance tomography
Jin Cheng, Mourad Choulli, Shuai Lu
We deal with the problem of determining the shape of an inclusion embedded in a homogenous background medium. The multifre-quency electrical impedance tomography is used to image t…
Linearized inverse Schrödinger potential problem at a large wavenumber
Victor Isakov, Shuai Lu, Boxi Xu
We investigate recovery of the (Schrödinger) potential function from many boundary measurements at a large wavenumber. By considering such a linearized form, we obtain a Hölder typ…
Analysis of regularized Nyström subsampling for regression functions of low smoothness
Shuai Lu, Peter Mathé, Sergiy Pereverzyev
This paper studies a Nyström type subsampling approach to large kernel learning methods in the misspecified case, where the target function is not assumed to belong to the reproduc…