Results 31 to 40 of about 3,153 (84)
Sparse Representations of Clifford and Tensor algebras in Maxima
, 2016 Clifford algebras have broad applications in science and engineering. The use of Clifford algebras can be further promoted in these fields by availability of computational tools that automate tedious routine calculations.
Prodanov, Dimiter, Toth, Viktor T.
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Bayesian Robust Tensor Decomposition Based on MCMC Algorithm for Traffic Data Completion
IET Signal Processing, Volume 2025, Issue 1, 2025.Data loss is a common problem in intelligent transportation systems (ITSs). And the tensor‐based interpolation algorithm has obvious superiority in multidimensional data interpolation. In this paper, a Bayesian robust tensor decomposition method (MBRTF) based on the Markov chain Monte Carlo (MCMC) algorithm is proposed.
Longsheng Huang +6 more
wiley +1 more source
Graph cohomology classes in the Batalin-Vilkovisky formalism
, 2007 We give a conceptual formulation of Kontsevich's `dual construction' producing graph cohomology classes from a differential graded Frobenius algebra with an odd scalar product. Our construction -- whilst equivalent to the original one -- is combinatorics-
Alastair Hamilton +24 more
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Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.This study presents analytical and numerical‐analytical decomposition methods for determining complex one‐parameter generalized inverse Moore–Penrose matrices. The analytical approach is based on the third Moore–Penrose condition, offering three solution options.
Sargis Simonyan +3 more
wiley +1 more source
Complexity, Volume 2025, Issue 1, 2025.Cellular automata are powerful tools for simulating dynamic environments. Their ability to model complex systems where the environment actively influences outcomes makes them invaluable for studying phenomena such as wildfires, marine pollution, and population dynamics.
Pau Fonseca i Casas, Pramita Mishra
wiley +1 more source
About Notations in Multiway Array Processing
, 2015 This paper gives an overview of notations used in multiway array processing. We redefine the vectorization and matricization operators to comply with some properties of the Kronecker product.
Cohen, Jeremy E.
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Nonnegative low multi‐rank third‐order tensor approximation via transformation
Numerical Linear Algebra with Applications, Volume 31, Issue 6, December 2024.Abstract The main aim of this paper is to develop a new algorithm for computing a nonnegative low multi‐rank tensor approximation for a nonnegative tensor. In the literature, there are several nonnegative tensor factorizations or decompositions, and their approaches are to enforce the nonnegativity constraints in the factors of tensor factorizations or
Guang‐Jing Song +3 more
wiley +1 more source
Equivariant birational types and derived categories
Mathematische Nachrichten, Volume 297, Issue 11, Page 4333-4355, November 2024.Abstract We investigate equivariant birational geometry of rational surfaces and threefolds from the perspective of derived categories.
Christian Böhning +2 more
wiley +1 more source
Noncommutative Yang-Mills-Higgs actions from derivation-based differential calculus
, 2008 Derivations of a noncommutative algebra can be used to construct differential calculi, the so-called derivation-based differential calculi. We apply this framework to a version of the Moyal algebra ${\cal{M}}$.
Cagnache, Eric +2 more
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Adjoint Brascamp–Lieb inequalities
Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.Abstract The Brascamp–Lieb inequalities are a generalization of the Hölder, Loomis–Whitney, Young, and Finner inequalities that have found many applications in harmonic analysis and elsewhere. In this paper, we introduce an “adjoint” version of these inequalities, which can be viewed as an Lp$L^p$ version of the entropic Brascamp–Lieb inequalities of ...
Jonathan Bennett, Terence Tao
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