[HTML][HTML] Remote sensing images destriping using unidirectional hybrid total variation and nonconvex low-rank regularization

JH Yang, XL Zhao, TH Ma, Y Chen, TZ Huang… - … of Computational and …, 2020 - Elsevier
In this paper, we propose a novel model for remote sensing images destriping, which
includes the Schatten 1∕ 2-norm and the unidirectional first-order and high-order total …

Partially pivoted ACA based acceleration of the energetic BEM for time-domain acoustic and elastic waves exterior problems

A Aimi, L Desiderio, G Di Credico - Computers & Mathematics with …, 2022 - Elsevier
We consider acoustic and elastic wave propagation problems in 2D unbounded domains,
reformulated in terms of space-time Boundary Integral Equations (BIEs). For their numerical …

Reweighted block sparsity regularization for remote sensing images destriping

JL Wang, TZ Huang, XL Zhao, J Huang… - IEEE Journal of …, 2019 - ieeexplore.ieee.org
Destriping has attracted a lot of interest in the field of remote sensing images processing.
Recent research works consider the characteristics of stripes, among which low-rankness …

Making the Nyström method highly accurate for low-rank approximations

J Xia - SIAM Journal on Scientific Computing, 2024 - SIAM
The Nyström method is a convenient strategy to obtain low-rank approximations to kernel
matrices in nearly linear complexity. Existing studies typically use the method to approximate …

A Weighted Average Adaptive Cross Approximation

JN Blackburn, JC Young… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
The adaptive cross approximation (ACA) is considered for matrix structures where error
control is lost. A weighted average form of the ACA is presented that mitigates the loss of …

Solution of ill-posed problems with Chebfun

A Alqahtani, T Mach, L Reichel - Numerical Algorithms, 2023 - Springer
The analysis of linear ill-posed problems often is carried out in function spaces using tools
from functional analysis. However, the numerical solution of these problems typically is …

Numerical investigation of Fredholm integral equation of the first kind with noisy data

H Mesgarani, Y Azari - Mathematical Sciences, 2019 - Springer
We consider Fredholm integral equation of the first kind with noisy data and use Landweber-
type iterative methods as an iterative solver. We compare regularization property of …

Using low-rank approximations of gridded data for spline surface fitting

D Mokriš, B Jüttler - Journal of Computational and Applied Mathematics, 2024 - Elsevier
The paper is devoted to the problem of finding bivariate tensor-product spline (or similar)
functions that approximate gridded data in the least-squares sense. We propose to apply a …

Fast Adaptive Cross Tubal Tensor Approximation

S Ahmadi-Asl, AH Phan, A Cichocki… - 2023 IEEE Statistical …, 2023 - ieeexplore.ieee.org
This paper deals with proposing a new efficient adaptive algorithm for the computation of
tensor SVD (t-SVD). The proposed algorithm can estimate the tubal-rank of a given third …

Adaptive cross approximation for Tikhonov regularization in general form

T Mach, L Reichel, M Van Barel - Numerical Algorithms, 2023 - Springer
Many problems in science and engineering give rise to linear integral equations of the first
kind with a square integrable kernel. Discretization of the integral operator yields a matrix …