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Mostrando ítems 1-10 de 19
Artículo
Residually solvable extensions of pro-nilpotent Leibniz superalgebras
(Elsevier, 2022)
Throughout this paper we show that the method for describing finite-dimensional solvable Leibniz superalgebras with a given nilradical can be extended to infinite-dimensional ones, or so-called residually solvable Leibniz ...
Artículo
Complex cyclic Leibniz superalgebras
(Springer, 2020)
Since Loday introduction of Leibniz algebras as a generalisation of Lie algebras, many results of the theory of Lie algebras have been extended to Leibniz algebras. Cyclic Leibniz algebras, which are generated by one ...
Artículo
Topology-based representative datasets to reduce neural network training resources
(Springer, 2022)
One of the main drawbacks of the practical use of neural networks is the long time required in the training process. Such a training process consists of an iterative change of parameters trying to minimize a loss function. ...
Artículo
From octonions to composition superalgebras via tensor categories
(European Mathematical Society, 2024)
The nontrivial unital composition superalgebras, of dimension 3 and 6, which exist only in characteristic 3, are obtained from the split Cayley algebra and its order 3 automorphisms, by means of the process of semisimplification ...
Artículo
A posteriori variational multiscale methods for the 1D convection-diffusion equations
(Académie des Sciences, 2023-06-09)
The present work is a continuation of a paper presented by the two first authors in the proceedings of the “Computational Science for the 21st century” conference held in Tours in 1997 honouring the 60th birthday of Roland ...
Artículo
Parallel homological calculus for 3D binary digital images
(Springer, 2024-01-29)
Topological representations of binary digital images usually take into consideration different adjacency types between colors.Within the cubical-voxel 3D binary image context, we design an algorithm for computing the ...
Artículo
On Leibniz Superalgebras with Even Part Corresponding to sl2
(Springer, 2021)
In this paper we describe finite-dimensional complex Leibniz superalgebras whose even part is the simple Leibniz algebra corresponding to sl2, i.e. its quotient algebra with respect to the Leibniz kernel I is isomorphic ...
Artículo
Fuzzy logic programs as hypergraphs. Termination results
(Elsevier, 2022)
Graph theory has been a useful tool for logic programming in many aspects. In this paper, we propose an equivalent representation of multi-adjoint logic programs using hypergraphs, which are a generalization of classical ...
Artículo
Optimizing the Simplicial-Map Neural Network Architecture
(MDPI, 2021)
Simplicial-map neural networks are a recent neural network architecture induced by simplicial maps defined between simplicial complexes. It has been proved that simplicial-map neural networks are universal approximators ...
Artículo
Emotion recognition in talking-face videos using persistent entropy and neural networks
(American Institute of Mathematical Sciences (AIMS), 2022)
The automatic recognition of a person’s emotional state has become a very active research field that involves scientists specialized in different areas such as artificial intelligence, computer vi sion, or psychology, ...