Efficient singular‐value decomposition of the coupled‐cluster triple excitation amplitudes
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DOI: 10.1002/jcc.25788
Abstract: We demonstrate a novel technique to obtain singular‐value decomposition (SVD) of the coupled‐cluster triple excitations amplitudes, tijkabc . The presented method is based on the Golub‐Kahan bidiagonalization strategy and does not require tijkabc to be… read more here.
Keywords: value decomposition; cluster triple; singular value; coupled cluster ... See more keywords
Ensemble‐based singular value decomposition analysis to clarify the causes of heavy rainfall
Sign Up to like & getrecommendations! Published in 2021 at "Quarterly Journal of the Royal Meteorological Society"
DOI: 10.1002/qj.4020
Abstract: The complex relationships between rainfall amounts and their causes require further clarification through analytical research. This study utilizes ensemble‐based singular value decomposition (ESVD) analysis that decomposes the ensemble‐based cross‐covariance matrix between datasets related to atmospheric… read more here.
Keywords: analysis; rainfall; based singular; singular value ... See more keywords
The Moore–Penrose Inverse and Singular Value Decomposition of Split Quaternions
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-020-01058-8
Abstract: Using the concept of a transposition anti-involution in Clifford algebra $$C \, \ell _{1,1}$$ C ℓ 1 , 1 and the isomorphisms $${\mathbb {H}}_s \cong C \, \ell _{1,1} \cong \text {Mat}(2,{\mathbb {R}}),$$ H s… read more here.
Keywords: moore penrose; split quaternions; penrose inverse; singular value ... See more keywords
Bayesian Robust Principal Component Analysis with Adaptive Singular Value Penalty
Sign Up to like & getrecommendations! Published in 2020 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-020-01358-1
Abstract: Robust principal component analysis (RPCA) has recently seen ubiquitous activity for dimensionality reduction in image processing, visualization and pattern recognition. Conventional RPCA methods model the low-rank component as regularizing each singular value equally. However, in… read more here.
Keywords: low rank; penalty; singular value; component ... See more keywords
An image quality assessment method based on edge extraction and singular value for blurriness
Sign Up to like & getrecommendations! Published in 2024 at "Machine Vision and Applications"
DOI: 10.1007/s00138-024-01522-6
Abstract: The automatic assessment of perceived image quality is crucial in the field of image processing. To achieve this idea, we propose an image quality assessment (IQA) method for blurriness. The features of gradient and singular… read more here.
Keywords: quality; iqa; image; singular value ... See more keywords
Unbiased predictive risk estimation of the Tikhonov regularization parameter: convergence with increasing rank approximations of the singular value decomposition
Sign Up to like & getrecommendations! Published in 2019 at "BIT Numerical Mathematics"
DOI: 10.1007/s10543-019-00762-7
Abstract: The truncated singular value decomposition may be used to find the solution of linear discrete ill-posed problems in conjunction with Tikhonov regularization and requires the estimation of a regularization parameter that balances between the sizes… read more here.
Keywords: regularization; regularization parameter; singular value; value decomposition ... See more keywords
On choices of formulations of computing the generalized singular value decomposition of a large matrix pair
Sign Up to like & getrecommendations! Published in 2020 at "Numerical Algorithms"
DOI: 10.1007/s11075-020-00984-9
Abstract: For the computation of the generalized singular value decomposition (GSVD) of a large matrix pair (A,B) of full column rank, the GSVD is commonly formulated as two mathematically equivalent generalized eigenvalue problems, so that a… read more here.
Keywords: singular value; matrix pair; generalized singular; large matrix ... See more keywords
Singular value inequalities and applications
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DOI: 10.1007/s11117-020-00790-6
Abstract: It is shown among other inequalities that if A, B and X are $$n\times n$$ complex matrices such that A and B are positive semidefinite, then $$s_{j}(AX-XB)\le $$ $$s_{j}\left( \left( \frac{1}{2}A+\frac{1}{2}A^{1/2}\left| X^{*}\right| ^{2}A^{1/2}\right) \oplus \left( \frac{1}{2}B+\frac{1}{2}… read more here.
Keywords: singular value; inequalities applications; right right; value inequalities ... See more keywords
Weight estimation for anesthetic administration using singular value decomposition and template matching for supine subject of different obesity levels
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DOI: 10.1007/s12553-018-0218-6
Abstract: Weight estimation is an important parameter in different fields such as anesthetic dose calculations, Criminal Investigation, Nutrition expert and forensic field. This paper focused on medical applications which are necessary to know weight in different… read more here.
Keywords: template matching; singular value; weight estimation; value decomposition ... See more keywords
Power Quality Monitor Allocation Based on Singular Value Decomposition and Genetic Algorithm
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Control, Automation and Electrical Systems"
DOI: 10.1007/s40313-020-00653-1
Abstract: This paper proposed a novel method for allocating power quality meters with the main objective of ensuring a completely observable power distribution system. The method was designed to establish the quantity, location and type of… read more here.
Keywords: singular value; power quality; power; based singular ... See more keywords
Novel soft sensor development using echo state network integrated with singular value decomposition: Application to complex chemical processes
Sign Up to like & getrecommendations! Published in 2020 at "Chemometrics and Intelligent Laboratory Systems"
DOI: 10.1016/j.chemolab.2020.103981
Abstract: Abstract It is of great importance to develop advanced soft sensors for ensuring the safety and stability of complex industrial processes. Unluckily, with the increasing scale of chemical processes, it becomes more and more demanding… read more here.
Keywords: esn; soft sensor; singular value; svd esn ... See more keywords