Results 21 to 30 of about 7,882 (230)
Input Layer Regularization and Automated Regularization Hyperparameter Tuning for Myelin Water Estimation Using Deep Learning. [PDF]
NMR BiomedWe propose a novel deep learning algorithm for predicting the myelin water fraction from multiple gradient‐echo or spin‐echo pulse sequences arising in magnetic resonance relaxometry (MRR) measurements of the human brain. Our method incorporates both regularized nonlinear least squares and pure deep learning through a concatenation paradigm known as ...
Modi M +7 more
europepmc +2 more sources
The parameter choice rules for weighted Tikhonov regularization scheme
Computational and Applied Mathematics, 2017 The well-known approach to solve the ill-posed problem is Tikhonov regularization scheme. But, the approximate solution of Tikhonov scheme may not contain all the details of the exact solution.
G D Reddy, Reddy G D
exaly +2 more sources
The Tikhonov Regularization Method for Set-Valued Variational Inequalities
Abstract and Applied Analysis, 2012 This paper aims to establish the Tikhonov regularization theory for set-valued variational inequalities. For this purpose, we firstly prove a very general existence result for set-valued variational inequalities, provided that the mapping involved has ...
Yiran He
core +2 more sources
DISCREPANCY SETS FOR COMBINED LEAST SQUARES PROJECTION AND TIKHONOV REGULARIZATION
Mathematical Modelling and Analysis, 2017 To solve a linear ill-posed problem, a combination of the finite dimensional least squares projection method and the Tikhonov regularization is considered. The dimension of the projection is treated as the second parameter of regularization.
Reginska, Teresa, Teresa Reginska
core +3 more sources
A New Hybrid Inversion Method for 2D Nuclear Magnetic Resonance Combining TSVD and Tikhonov Regularization. [PDF]
J Imaging, 2021 This paper is concerned with the reconstruction of relaxation time distributions in Nuclear Magnetic Resonance (NMR) relaxometry. This is a large-scale and ill-posed inverse problem with many potential applications in biology, medicine, chemistry, and ...
Landi G, Zama F, Bortolotti V.
europepmc +2 more sources
A Posteriori Fractional Tikhonov Regularization Method for the Problem of Analytic Continuation
Mathematics, 2021 In this paper, the numerical analytic continuation problem is addressed and a fractional Tikhonov regularization method is proposed. The fractional Tikhonov regularization not only overcomes the difficulty of analyzing the ill-posedness of the ...
Xuemin Xue, Xiangtuan Xiong
doaj +1 more source
Tikhonov Regularization with a Solution Constraint [PDF]
SIAM Journal on Scientific Computing, 2004 The authors consider a constrained minimization regularization formulation of a given, ill-conditioned linear system, which is equivalent with the classical Tikhonov one. This new problem is solved by a modified version of an algorithm previously proposed by \textit{G. H. Golub} and \textit{U. von Matt} [Numer. Math. 59, No.~6, 561--580 (1991; Zbl 0745.
Daniela Calvetti, Lothar Reichel
openaire +1 more source
Algorithms, 2023 This paper aims to determine whether regularization improves image reconstruction in electrical impedance tomography (EIT) using a radial basis network. The primary purpose is to investigate the effect of regularization to estimate the network parameters
Chowdhury Abrar Faiyaz +4 more
doaj +1 more source
An Improved Tikhonov-Regularized Variable Projection Algorithm for Separable Nonlinear Least Squares
Axioms, 2021 In this work, we investigate the ill-conditioned problem of a separable, nonlinear least squares model by using the variable projection method. Based on the truncated singular value decomposition method and the Tikhonov regularization method, we propose ...
Hua Guo, Guolin Liu, Luyao Wang
doaj +1 more source
Mathematical and numerical modeling of inverse heat conduction problem [PDF]
INCAS Bulletin, 2014 The present paper refers to the assessment of three numerical methods for solving the inverse heat conduction problem: the Alifanov’s iterative regularization method, the Tikhonov local regularization method and the Tikhonov equation regularization ...
Sterian DANAILA, Alina-Ioana CHIRA
doaj +1 more source