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Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
wiley +1 more source
Representability In Lambda Algebras [PDF]
Indagationes Mathematicae (Proceedings), 1976 Summary§ 1 is concerned with the term model of the α-calculus. It is proved that Church's δ is not dofinable and that the definable functions into the numerals are constant. In § 2 it is proved that for several α-algebras the range of a representable function is either a singleton or infinite.
Bergstra, J.A. +3 more
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REPRESENTATIONS OF REFLECTION ALGEBRAS [PDF]
Reviews in Mathematical Physics, 2002 We study a class of algebras B(n,l) associated with integrable models with boundaries. These algebras can be identified with coideal subalgebras in the Yangian for gl(n). We construct an analog of the quantum determinant and show that its coefficients generate the center of B(n,l).
Eric Ragoucy, Alexander Molev
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Algebra with ternary cyclic relations, representations and quark model [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 We propose a unital associative algebra, motivated by a generalization of the Pauliâs exclusion principle proposed for the quark model. The generators of this algebra satisfy the following relations: The sum of squares of all generators is equal to ...
Viktor Abramov +2 more
doaj +1 more source
Towards higher-spin holography in flat space
Journal of High Energy Physics, 2023 We study the chiral flat space higher-spin algebra, which is the global symmetry algebra of the chiral higher-spin theory in the 4d Minkowski space. We find that it can be constructed as the universal enveloping algebra of a certain chiral deformation of
Dmitry Ponomarev
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The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras
Electronic Research Archive, 2022 The main purpose of this paper is to provide a full cohomology of a Hom-pre-Lie algebra with coefficients in a given representation. This new type of cohomology exploits strongly the Hom-type structure and fits perfectly with simultaneous deformations of
Shanshan Liu +2 more
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MASALAH EIGEN DAN EIGENMODE MATRIKS ATAS ALJABAR MIN-PLUS
Barekeng, 2021 Eigen problems and eigenmode are important components related to square matrices. In max-plus algebra, a square matrix can be represented in the form of a graph called a communication graph.
Eka Widia Rahayu +2 more
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Hecke group algebras as degenerate affine Hecke algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 The Hecke group algebra $\operatorname{H} \mathring{W}$ of a finite Coxeter group $\mathring{W}$, as introduced by the first and last author, is obtained from $\mathring{W}$ by gluing appropriately its $0$-Hecke algebra and its group algebra.
Florent Hivert +2 more
doaj +1 more source
On Representations of Bol Algebras [PDF]
Journal of Generalized Lie Theory and Applications, 2016 In this paper, we introduce the notion of representation of Bol algebra. We prove an analogue of the classical Engel's theorem and the ex- tension of Ado-Iwasawa theorem for Bol Algebras. We study the category of representations of Bol algebras and show that it is a tensor category.
Ndoune, N, Bouetou Bouetou, T
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q-deformation of corner vertex operator algebras by Miura transformation
Journal of High Energy Physics, 2021 Recently, Gaiotto and Rapcak proposed a generalization of W N algebra by considering the symmetry at the corner of the brane intersection (corner vertex operator algebra).
Koichi Harada +3 more
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