Extension of Tikhonov regularization method using linear fractional programming
Journal of Computational and Applied Mathematics, 2020Given a real $m\times n$ matrix $A$ with $m\geq n$ and a noisy vector $b$, this paper focuses on the following least-squares problem: $\min_{x\in \mathbb{R}^n}\|Ax-b\|^2$. Here $\|\cdot\|$ is the Euclidean norm. This problem is commonly studied in the framework of the Tikhonov regularization which consists of solving the regularized least-squares ...
Somaieh Mohammady, M.R. Eslahchi
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Convergence Rates of the Hilbert Uniqueness Method via Tikhonov Regularization
Journal of Optimization Theory and Applications, 1999A parabolic differential equation on \([0,1]\times [0,T]\) with Dirichlet data and homogeneous initial data of the following form is considered \[ {\partial y\over\partial t}-{\partial\over\partial x} \Biggl(a(x){\partial y\over\partial x}\Biggr)= 0, \] \[ y(0,x)= 0,\quad y(t,0)= \nu_0(t),\quad y(t,1)= \nu_1(t), \] with diffusion coefficient \(a(x)\in ...
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WSN multilateral localization algorithm based on Tikhonov regularization method
SPIE Proceedings, 2008In wireless sensor network (WSN) applications, node localization for complex system monitoring is a key problem to be resolved. A new localization algorithm Based on Tikhonov regularization method is proposed for the ill-posed multilateral localization problem, which includes building location model, selecting regularization parameter and optimizing
Lei Wang, Hong-ming Li, Xiao-tong Du
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An Improved Tikhonov Regularization Method for Conductivity Tomography Imaging
2008 International Symposium on Computer Science and Computational Technology, 2008Discretizations of inverse problem lead to systems of linear equations with a highly ill-conditioned coefficient matrix, and in order to compute stable solutions to these systems it is necessary to apply regularization methods. This paper compares our improved Tikhonov regularization algorithm to several existing regularization methods, which are ...
Baobin Feng, Wenjuan Wang, Junxing Cao
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New intermediate view synthesis method based on Tikhonov regularization
IEEE 10th INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING PROCEEDINGS, 2010The intermediate view synthesis from arbitrary view is a challenging topic in multi-view areas, many image-based rendering methods have been proposed to solve this problem. A new multi-view intermediate view synthesis method based on Tikhonov regularization function is proposed to synthesis view from limited number of source views. The experiments show
Q. Zhang +3 more
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Tikhonov type regularization methods for inverse mixed variational inequalities
Optimization, 2019In this paper, we focus on a Tikhonov type regularization method for inverse mixed variational inequalities.
Jiawei Chen +3 more
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Genetic Algorithm Based Tikhonov Regularization Method for Displacement Reconstruction
Journal of Shanghai Jiaotong University (Science), 2019In this paper, a genetic algorithm based Tikhonov regularization method is proposed for determination of globally optimal regularization factor in displacement reconstruction. Optimization mathematic models are built by using the generalized cross-validation (GCV) criterion, L-curve criterion and Engl’s error minimization (EEM) criterion as the ...
Zhen Peng, Zhilong Yang, Jiahuang Tu
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Tikhonov-regularized bispectral variational method for optical signal reconstruction
Computational Mathematics and Modeling, 2013A Tikhonov-regularized bispectral variational method is proposed for image restoration in the presence of strong phase distortions. This method combines a number of advantages of the bispectral approach, such as preservation and restoration of phase information, invariance to random shifts of the original signal, and no requirement of high-accuracy ...
N. G. Iroshnikov +3 more
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Tikhonov regularization method for dynamic load identification
Fourth International Conference on Artificial Intelligence and Electromechanical Automation (AIEA 2023), 2023Pengfei Cai +3 more
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A Tikhonov-type regularization method for Caputo fractional derivative
Numerical AlgorithmszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Van Duc +5 more
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