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Faithful representations with topographic maps [PDF]
Neural Networks, 1999 Topographic map algorithms that are aimed at building "faithful representations" also yield maps that transfer the maximum amount of information available about the distribution from which they receive input. The weight density (magnification factor) of these maps is proportional to the input density, or the neurons of these maps have an equal ...
M M van Hulle
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A note on faithful representations of limit groups
Groups, Complexity, Cryptology, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benjamin Fine, Gerhard Rosenberger
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Rational and quasi-permutation representations of holomorphs of cyclic $p$-groups [PDF]
International Journal of Group Theory, 2022 For a finite group $G$, three of the positive integers governing its representation theory over $\mathbb{C}$ and over $\mathbb{Q}$ are $p(G),q(G),c(G)$.
Soham Pradhan, B. Sury
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Faithful real representations of groups of $F$-type [PDF]
International Journal of Group Theory, 2020 Groups of $F$-type were introduced in [B. Fine and G. Rosenberger, Generalizing Algebraic Properties of Fuchsian Groups, \emph{London Math. Soc.
Benjamin Fine +2 more
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Learning Faithful Representations of Causal Graphs [PDF]
Proceedings of the 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing (Volume 1: Long Papers), 2021 Learning contextual text embeddings that represent causal graphs has been useful in improving the performance of downstream tasks like causal treatment effect estimation. However, existing causal embeddings which are trained to predict direct causal links, fail to capture other indirect causal links of the graph, thus leading to spurious correlations ...
Ananth Balashankar +1 more
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On a faithful representation of Sturmian morphisms
European Journal of Combinatorics, 2023 26 ...
Jana Lepsová +2 more
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Faithful representations of limit groups II
Groups, Complexity, Cryptology, 2013 Benjamin Fine, Gerhard Rosenberger
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On Faithful Matrix Representations of q-Deformed Models in Quantum Optics
International Journal of Mathematics and Mathematical Sciences, 2022 Consider the q-deformed Lie algebra, tq:K^1,K^2q=1−qK^1K^2,K^3,K^1q=sK^3, K^1,K^4q=sK^4,K^3,K^2q=tK^3,K^2,K^4q=tK^4, and K^4,K^3q=rK^1, where r,s,t∈ℝ−0, subject to the physical properties: K^1 and K^2 are real diagonal operators, and K^3=K^4†, († is for ...
Latif A -M. Hanna +2 more
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Groups with Two Extreme Character Degrees and their Minimal Faithful Representations [PDF]
Mathematics Interdisciplinary Research, 2018 for a finite group G, we denote by p(G) the minimal degree of faithful permutation representations of G, and denote by c(G), the minimal degree of faithful representation of G by quasi-permutation matrices over the complex field C.
Mahtab Delfani, Houshang Behravesh
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Centralizers of the infinite symmetric group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We review and introduce several approaches to the study of centralizer algebras of the infinite symmetric group $S_{\infty}$. Our work is led by the double commutant relationship between finite symmetric groups and partition algebras; in the case of $S_{\
Zajj Daugherty, Peter Herbrich
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