Results 11 to 20 of about 2,333 (139)
Derivations on the matrix semirings of max-plus algebra [PDF]
Journal of Mahani Mathematical ResearchLet $(S,\oplus,\otimes)$ be a matrix semiring of max-plus algebra with the addition operation $\oplus$ and the multiplication operation $\otimes$, where the set \( S \) consists of matrices constructed from real numbers together with the element negative
Suffi Nuralesa, Nikken Puspita
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Upper Bounds for the Isolation Number of a Matrix over Semirings [PDF]
Mathematics, 2019 Let S be an antinegative semiring. The rank of an m × n matrix B over S is the minimal integer r such that B is a product of an m × r matrix and an r × n matrix.
LeRoy B. Beasley, Seok-Zun Song
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An Improved Bearing Fault Diagnosis Model of Variational Mode Decomposition Based on Linked Extension Neural Network. [PDF]
Comput Intell Neurosci, 2022 In bearing fault diagnosis, due to the insufficient obtained supervised data and the inevitable noise contained in the vibration signals, the problem of clustering bearing fault diagnosis with imbalanced data containing noise is caused. Thanks to the ability to quickly and fully learn boundary information in small samples, the extension neural network ...
Wang T, Wang J.
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Semiring Rank Matrix Factorization [PDF]
IEEE Transactions on Knowledge and Data Engineering, 2017 Rank data, in which each row is a complete or partial ranking of available items (columns), is ubiquitous. Among others, it can be used to represent preferences of users, levels of gene expression, and outcomes of sports events. It can have many types of patterns, among which consistent rankings of a subset of the items in multiple rows, and multiple ...
Thanh Le Van +3 more
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Matrix semigroups over semirings [PDF]
International Journal of Algebra and Computation, 2019 We study properties determined by idempotents in the following families of matrix semigroups over a semiring [Formula: see text]: the full matrix semigroup [Formula: see text], the semigroup [Formula: see text] consisting of upper triangular matrices, and the semigroup [Formula: see text] consisting of all unitriangular matrices.
Gould, Victoria Ann Rosalind +2 more
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Matrix Tri-Factorization Over the Tropical Semiring
IEEE Access, 2023 Tropical semiring has proven successful in several research areas, including optimal control, bioinformatics, discrete event systems, or solving a decision problem. In previous studies, a matrix two-factorization algorithm based on the tropical semiring has been applied to investigate bipartite and tripartite networks.
Amra Omanovic, Polona Oblak, Tomaz Curk
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Convergent Hahn series and tropical geometry of higher rank
Journal of the London Mathematical Society, Volume 107, Issue 4, Page 1450-1481, April 2023., 2023 Abstract We propose to study the tropical geometry specifically arising from convergent Hahn series in multiple indeterminates. One application is a new view on stable intersections of tropical hypersurfaces. Another one is perturbations of rank one tropical polytopes, which is beneficial for algorithmic purposes.
Michael Joswig, Ben Smith
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Applications on Bipolar Vague Soft Sets
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 The purpose of this research is to interpolate bipolarity into the definition of the vague soft set. This gives a new more applicable, flexible, and generalized extension of the soft set, the fuzzy soft set, or even the vague soft set, which is the bipolar vague soft set.
Hanan H. Sakr +4 more
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OPTIMIZATION OF MATRIX SEMIRINGS FOR CLASSIFICATION SYSTEMS [PDF]
Bulletin of the Australian Mathematical Society, 2011 AbstractThe max-plus algebra is well known and has useful applications in the investigation of discrete event systems and affine equations. Structural matrix rings have been considered by many authors too. This article introduces more general structural matrix semirings, which include all matrix semirings over the max-plus algebra.
Gao, D. Y. +2 more
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Alzheimer's &Dementia, Volume 18, Issue 12, Page 2493-2508, December 2022., 2022 Abstract Introduction Identification of novel therapeutics and risk assessment in early stages of Alzheimer's disease (AD) is a crucial aspect of addressing this complex disease. We characterized gene‐expression patterns at the mild cognitive impairment (MCI) stage to identify critical mRNA measures and gene clusters associated with AD pathogenesis ...
Apoorva Bharthur Sanjay +8 more
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