Results 21 to 30 of about 692 (164)
Orthogonality for (0, −1) tropical normal matrices
Special Matrices, 2020 We study pairs of mutually orthogonal normal matrices with respect to tropical multiplication. Minimal orthogonal pairs are characterized. The diameter and girth of three graphs arising from the orthogonality equivalence relation are computed.
Bakhadly Bakhad +2 more
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Valuations on Structures More General Than Fields
Computer Sciences & Mathematics Forum, 2023 Valuation theory is an important area of investigation in algebra, with applications in algebraic geometry and number theory. In 1957, M. Krasner introduced hyperfields, which are field-like objects with a multivalued addition, to describe some ...
Alessandro Linzi
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Remarks on a Tropical Key Exchange System
Journal of Mathematical Cryptology, 2020 We consider a key-exchange protocol based on matrices over a tropical semiring which was recently proposed in [2]. We show that a particular private parameter of that protocol can be recovered with a simple binary search, rendering it insecure.
Rudy Dylan, Monico Chris
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Linear transformations of tropical matrices preserving the cyclicity index
Special Matrices, 2021 We combine matrix theory and graph theory methods to give a complete characterization of the surjective linear transformations of tropical matrices that preserve the cyclicity index.
Guterman Alexander +2 more
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, 2020 361 pages, less than one hundred figures. Minor mistakes corrected.
Venugopalan, Sushmita, Woodward, Chris
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Tropical Grassmannians, cluster algebras and scattering amplitudes
Journal of High Energy Physics, 2020 We provide a cluster-algebraic approach to the computation of the recently introduced generalised biadjoint scalar amplitudes related to Grassmannians Gr(k, n). A finite cluster algebra provides a natural triangulation for the tropical Grassmannian whose
James Drummond +3 more
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Formation of Machine Learning Features Based on the Construction of Tropical Functions
Моделирование и анализ информационных систем, 2022 One of the main methods of computational topology and topological data analysis is persistent homology, which combines geometric and topological information about an object using persistent diagrams and barcodes.
Sergey N. Chukanov, Ilya S. Chukanov
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Data assimilation using an ensemble of models: a hierarchical approach [PDF]
Atmospheric Chemistry and Physics, 2020 One characteristic of biogeochemical models is uncertainty about their formulation. Data assimilation should take this uncertainty into account. A common approach is to use an ensemble of models.
P. Rayner
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Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
Journal of High Energy Physics, 2021 We further exploit the relation between tropical Grassmannians and Gr(4, n) cluster algebras in order to make and refine predictions for the singularities of scattering amplitudes in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills theory at higher ...
Niklas Henke, Georgios Papathanasiou
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An Asymptotic Cyclicity Analysis of Live Autonomous Timed Event Graphs
Applied Sciences, 2021 Designing a discrete event system converging to steady temporal patterns is an essential issue of a system with time window constraints. Until now, to analyze asymptotic stability, we have modeled a timed event graph’s dynamic behavior, transformed it ...
Ja-Hee Kim
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