Computational methods for large-scale inverse problems: a survey on hybrid projection methods

J Chung, S Gazzola - Siam Review, 2024 - SIAM
This paper surveys an important class of methods that combine iterative projection methods
and variational regularization methods for large-scale inverse problems. Iterative methods …

A review on acoustic reconstruction of temperature profiles: From time measurement to reconstruction algorithm

Y Yu, Q Xiong, ZS Ye, X Liu, Q Li… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Acoustic tomography is a technique widely used in nonintrusive temperature measurement.
The time of flight (TOF) of acoustic waves can be used to estimate the temperatures of a …

Visualization and standardized quantification of surface charge density for triboelectric materials

Y Li, Y Luo, S Xiao, C Zhang, C Pan, F Zeng… - Nature …, 2024 - nature.com
Triboelectric nanogenerator (TENG) operates on the principle of utilizing contact
electrification and electrostatic induction. However, visualization and standardized …

Block coordinate descent on smooth manifolds: Convergence theory and twenty-one examples

L Peng, R Vidal - arXiv preprint arXiv:2305.14744, 2023 - arxiv.org
Block coordinate descent is an optimization paradigm that iteratively updates one block of
variables at a time, making it quite amenable to big data applications due to its scalability …

TRIPs-Py: Techniques for regularization of inverse problems in python

M Pasha, S Gazzola, C Sanderford, UO Ugwu - Numerical Algorithms, 2024 - Springer
In this paper we describe TRIPs-Py, a new Python package of linear discrete inverse
problems solvers and test problems. The goal of the package is two-fold: 1) to provide tools …

Augmented flexible Krylov subspace methods with applications to Bayesian inverse problems

MS Landman, J Jiang, J Zhang, W Ren - Linear Algebra and its Applications, 2024 - Elsevier
This paper presents two new augmented flexible (AF)-Krylov subspace methods, AF-
GMRES and AF-LSQR, to compute solutions of large-scale linear discrete ill-posed …

Flexible Krylov methods for edge enhancement in imaging

S Gazzola, SJ Scott, A Spence - Journal of Imaging, 2021 - mdpi.com
Many successful variational regularization methods employed to solve linear inverse
problems in imaging applications (such as image deblurring, image inpainting, and …

A class of refined preconditioners with sparse error correction for BEM linear system

M Wang, S Zhang - Journal of Computational and Applied Mathematics, 2024 - Elsevier
In this paper, we consider the preconditioned iteration methods for ill-conditioned BEM
linear system. We propose a class of generalized refined preconditioners and study some …

A Krylov subspace type method for Electrical Impedance Tomography

M Pasha, S Kupis, S Ahmad, T Khan - … Mathematical Modelling and …, 2021 - esaim-m2an.org
Electrical Impedance Tomography (EIT) is a well-known imaging technique for detecting the
electrical properties of an object in order to detect anomalies, such as conductive or resistive …

A Joint Reconstruction and Model Selection Approach for Large Scale Inverse Modeling

M Sabaté Landman, J Chung, J Jiang… - Geoscientific Model …, 2024 - gmd.copernicus.org
Inverse models arise in various environmental applications, ranging from atmospheric
modeling to geosciences. Inverse models can often incorporate predictor variables, similar …