Application of two-dimensional truncated singular value decomposition in image restoration
Journal of Physics: Conference Series, 2021 Abstract Large solution size and ill-posed problem often exists in image restoration. In order to overcome these problems, the application of two-dimensional truncated singular value decomposition(2-D TSVD) in large-scale image restoration is studied in this paper. The 2-D TSVD overcomes the inherent ill-posed problem and also solves the
Hong-Yu Zhou, Kou Ting, Song Xu
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Optimal truncation criterion for application of singular value decomposition to ionospheric tomography [PDF]
Radio Science, 1999 In this paper, we present a generic method to solve the subspace‐oriented estimation problem. We have optimized our approach by taking account of the a priori and a posteriori covariances of both the data and the model parameters in general linear inverse notations.
Chucai Zhou, E. J. Fremouw, John D. Sahr
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Computer Assisted Methods in Engineering and Science, 2017 This paper is devoted to a theoretical and numerical study of different ways of calculating the Fourier transform of a noisy signal where the boundary conditions at the lateral boundaries of the measurement interval are not precisely known. This happens
Waseem Al Hadad +3 more
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Polynomial basis conversion made stable by truncated singular value decomposition
Applied Mathematical Modelling, 1997 The aim of this paper is to provide a numerically stable method for the transformation between the power and the Bernstein basis resp. the Bernstein and the B-spline basis. Although this transformation process is defined by a system of linear equations, the direct use of this linear system is sometimes not recommended, since it may be ill conditioned ...
Joab R Winkler
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On the Jacobians of the Factors of the Truncated Singular Value Decomposition
HighlightsOn the Jacobians of the Factors of the Truncated Singular Value DecompositionThe aim of this paper is to derive analytical expressions for the Jacobians for the factors of the Truncated Singular Value Decomposition (TSVD) of a matrix. The starting point of this study is an earlier work by \cite{GratTshi16} on the second-order expansion of the
Jean Tshimanga-Ilunga +1 more
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SVD-LLM: Truncation-aware Singular Value Decomposition for Large Language Model Compression [PDF]
CoRRICLR 2025; Code available at: https://github.com/AIoT-MLSys-Lab/SVD ...
Xin Wang +3 more
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Reconstruction of Mercury's internal magnetic field beyond the octupole [PDF]
Annales Geophysicae, 2022 The reconstruction of Mercury's internal magnetic field enables us to take a look into the inner heart of Mercury. In view of the BepiColombo mission, Mercury's magnetosphere is simulated using a hybrid plasma code, and the multipoles of the internal ...
S. Toepfer +10 more
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Interior Reconstruction Using the Truncated Hilbert Transform via Singular Value Decomposition.
Journal of X-Ray Science and Technology: Clinical Applications of Diagnosis and Therapeutics, 2008 The state-of-the-art technology for theoretically exact local computed tomography (CT) is to reconstruct an object function using the truncated Hilbert transform (THT) via the projection onto convex sets (POCS) method, which is iterative and computationally expensive.
Hengyong Yu, Yangbo Ye, Ge Wang
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A Novel Movie Recommendation System with Iterated Truncated Singular Value Decomposition (ITSVD) [PDF]
مطالعات مدیریت کسب و کار هوشمند, 2021 Recommendation systems are one of the most essential tools for e-commerce intelligence. These systems with different types of data filtering methods are able to offer the best recommendations from a multitude of selectable items.
Nozar Ebrahimi Lame +2 more
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Perturbation expansions and error bounds for the truncated singular value decomposition [PDF]
Linear Algebra and its Applications, 2021 Accepted to Linear Algebra and Its ...
Trung Vu +2 more
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