Nonlinear Regularization of Inverse Problems for Linear Homogeneous Transforms by Stabilized Hard Thresholding
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-4044-1
Abstract: In this paper we consider the problem of inverting linear homogeneous transforms by Vaguelette–Wavelet decomposition and stabilized hard thresholding of noisy wavelet coefficients. We also prove asymptotic normality and strong consistency of the mean-square risk… read more here.
Keywords: nonlinear regularization; stabilized hard; homogeneous transforms; hard thresholding ... See more keywords
Regularization of an inverse nonlinear parabolic problem with time-dependent coefficient and locally Lipschitz source term
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.11.083
Abstract: Abstract We consider a backward problem of finding a function u satisfying a nonlinear parabolic equation in the form u t + a ( t ) A u ( t ) = f ( t… read more here.
Keywords: inverse nonlinear; nonlinear parabolic; regularization inverse; parabolic problem ... See more keywords
Generalization and Regularization for Inverse Cardiac Estimators
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Biomedical Engineering"
DOI: 10.1109/tbme.2022.3159733
Abstract: Electrocardiographic Imaging (ECGI) aims to estimate the intracardiac potentials noninvasively, hence allowing the clinicians to better visualize and understand many arrhythmia mechanisms. Most of the estimators of epicardial potentials use a signal model based on… read more here.
Keywords: signal model; inverse cardiac; regularization inverse; regularization ... See more keywords