Fractional Norm Regularization Using Truncated Singular Value Decomposition [PDF]
IEEE Access, 2022 In a previous work, a solution to the fractional norm regularization (FNR) was discovered in a closed form and an inverse perturbation was adopted as a tool to overcome the ill condition of a matrix whose inverse is required by the fixed-point FNR.
Bamrung Tausiesakul +1 more
doaj +3 more sources
svds-C: A multi-thread C code for computing truncated singular value decomposition [PDF]
SoftwareX, 2023 This article presents svds-C, an open-source and high-performance C program for accurately and robustly computing truncated SVD, e.g. computing several largest singular values and corresponding singular vectors.
Xu Feng, Wenjian Yu, Yuyang Xie
doaj +4 more sources
Forward Looking Radar Imaging by Truncated Singular Value Decomposition and Its Application for Adverse Weather Aircraft Landing [PDF]
Sensors, 2015 The forward looking radar imaging task is a practical and challenging problem for adverse weather aircraft landing industry. Deconvolution method can realize the forward looking imaging but it often leads to the noise amplification in the radar image. In
Yulin Huang +3 more
doaj +4 more sources
A Truncated Singular Value Decomposition Enhanced Nested Complex Source Beam Method [PDF]
International Journal of Antennas and Propagation, 2017 This work presents a novel matrix compression algorithm to improve the computational efficiency of the nested complex source beam (NCSB) method. The algorithm is based on the application of the truncated singular value decomposition (TSVD) to the ...
Lianning Song, Zaiping Nie
doaj +3 more sources
A New Truncation Strategy for the Higher-Order Singular Value Decomposition [PDF]
SIAM Journal of Scientific Computing, 2012 We present an alternative strategy for truncating the higher-order singular value decomposition (T-HOSVD). An error expression for an approximate Tucker decomposition with orthogonal factor matrices is presented, leading us to propose a novel truncation strategy for the HOSVD, which we refer to as the sequentially truncated higher-order singular value ...
Nick Vannieuwenhoven +2 more
exaly +4 more sources
Truncated singular value decomposition in ripped photo recovery [PDF]
ITM Web of Conferences, 2021 Singular value decomposition (SVD) is one of the most useful matrix decompositions in linear algebra. Here, a novel application of SVD in recovering ripped photos was exploited. Recovery was done by applying truncated SVD iteratively.
Lem Kong Hoong
doaj +2 more sources
A Trust-Region Method for Solving Truncated Complex Singular Value Decomposition [PDF]
Journal of Computational Mathematics, 2023 The truncated singular value decomposition has been widely used in many areas of science including engineering, and statistics, etc. In this paper, the original truncated complex singular value decomposition problem is formulated as a Riemannian optimization problem on a product of two complex Stiefel manifolds, a practical algorithm based on the ...
Jiao‐fen Li +4 more
openalex +3 more sources
Modified truncated randomized singular value decomposition (MTRSVD) algorithms for large scale discrete ill-posed problems with general-form regularization * [PDF]
, 2018 In this paper, we propose new randomization based algorithms for large scale linear discrete ill-posed problems with general-form regularization: ${\min} \|Lx\|$ subject to ${\min} \|Ax - b\|$, where $L$ is a regularization matrix.
Zhongxiao Jia, Yanfei Yang
openalex +3 more sources
Truncated singular value decomposition for through‐the‐wall microwave imaging application [PDF]
IET Microwaves, Antennas & Propagation, 2019 We considered differential through‐the‐wall microwave imaging with different formulations of truncated singular value decomposition (TSVD) method with a non‐anechoic experiment. Previous studies employ TSVD with single transmitting/measuring antenna, while we show how to apply the TSVD in case of a moving linear transmitting/measuring antenna array ...
Semih Doğu +3 more
openalex +2 more sources
A modified truncation singular value decomposition method for solving ill-posed problems [PDF]
Journal of Algorithms & Computational Technology, 2018 A modified truncated singular value decomposition method for solving ill-posed problems is presented in this paper, in which the solution has a slightly different form.
Zhenyu Zhao +5 more
doaj +2 more sources