Results 21 to 30 of about 853,327 (326)
SCENE CLASSIFICATION BASED ON THE INTRINSIC MEAN OF LIE GROUP [PDF]
ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2020 Remote Sensing scene classification aims to identify semantic objects with similar characteristics from high resolution images. Even though existing methods have achieved satisfactory performance, the features used for classification modeling are still ...
C. Xu, G. Zhu, K. Yang
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Survey on Lie Group Machine Learning
Big Data Mining and Analytics, 2020 Lie group machine learning is recognized as the theoretical basis of brain intelligence, brain learning, higher machine learning, and higher artificial intelligence. Sample sets of Lie group matrices are widely available in practical applications.
Mei Lu, Fanzhang Li
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Cohomology of nonabelian embedding tensors on Hom-Lie algebras
AIMS Mathematics, 2023 In this paper, we generalize known results of nonabelian embedding tensor to the Hom setting. We introduce the concept of Hom-Leibniz-Lie algebra, which is the basic algebraic structure of nonabelian embedded tensors on Hom-Lie algebras and can also be ...
Wen Teng , Jiulin Jin, Yu Zhang
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Lie group representations and quantization [PDF]
Reports on Mathematical Physics, 2001 The authors investigate the representations of connected Lie groups on the basis of a group quantization formalism. The proposed technique is a generalization of the Kostant-Kirillov coadjoint orbits method for connected Lie groups and of the Borel-Weil-Bott representation algorithm for semisimple groups.
Victor Aldaya +3 more
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Lie Group Equivariant Convolutional Neural Network Based on Laplace Distribution
Remote Sensing, 2023 Traditional convolutional neural networks (CNNs) lack equivariance for transformations such as rotation and scaling. Consequently, they typically exhibit weak robustness when an input image undergoes generic transformations.
Dengfeng Liao, Guangzhong Liu
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Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models
Journal of High Energy Physics, 2021 We consider the problem of the decomposition of the Rényi entanglement entropies in theories with a non-abelian symmetry by doing a thorough analysis of Wess-Zumino-Witten (WZW) models.
Pasquale Calabrese +2 more
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Nuclear Physics B, 2022 We extend the (gauged) Skyrme model to the case in which the global isospin group (which usually is taken to be SU(N)) is a generic compact connected Lie group G.
S.L. Cacciatori +4 more
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Semibounded representations and invariant cones in infinite dimensional Lie algebras [PDF]
, 2009 A unitary representation of a, possibly infinite dimensional, Lie group $G$ is called semi-bounded if the corresponding operators $i\dd\pi(x)$ from the derived representations are uniformly bounded from above on some non-empty open subset of the Lie ...
Neeb, Karl-Hermann
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Advances in Linear Algebra & Matrix Theory, 2021 In this paper, the most important liner groups are classified. Those that we often have the opportunity to meet when studying linear groups as well as their application in left groups. In addition to the introductory part, we have general linear groups, special linear groups, octagonal groups, symplicit groups, cyclic groups, dihedral groups ...
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Yang-Yang functions, monodromy and knot polynomials
Journal of High Energy Physics, 2021 We derive a structure of ℤ[t, t −1]-module bundle from a family of Yang-Yang functions. For the fundamental representation of the complex simple Lie algebra of classical type, we give explicit wall-crossing formula and prove that the monodromy ...
Peng Liu, Wei-Dong Ruan
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