We study weighted total least squares problems on infinite dimensional spaces. We present some necessary and sufficient conditions for the regularized problem to have a solution. The existence of solution can also be assured ...

Linearized inversion methods such as Gauss-Newton and multiple re-weighted leastsquares are iterative processes in which an update in the current model is computed as a function of data misfit and the gradient of data with ...

A new residual modeling algorithm for nonbilinear data is presented, namely unfolded partial least squares with interference modeling of non bilinear data by multivariate curve resolution by alternating least squares ...

One of the major questions in high-density transcranial electrical stimulation (TES) is: given a region of interest (ROI) and electric current limits for safety, how much current should be delivered by each electrode for ...

The applicability of a meshfree approximation method, namely the EFG method, on fully geometrically exact analysis of plates is investigated. Based on a unified nonlinear theory of plates, which allows for arbitrarily large ...

Background: Additivity has long been recognised as a desirable property of systems of equations to predict the biomass of components and the whole tree. However, most tree biomass studies report biomass equations fitted ...

This Thesis includes the study of regularization methods for inverse ill-posed problems from a general point of view, using the spectral theory for linear operators in Hilbert spaces. A result of Thomas Seidman about the ...