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Cartan-Schouten metrics for information geometry and machine learning

Autor: Diatta, Andre, Manga, Bakary, Sy, Fatimata

We study Cartan-Schouten metrics, explore invariant dual connections, and propose them as models for Information Geometry. Based on the underlying Riemannian barycenter and the biinvariant mean of Lie groups, we subsequently propose a new parametric

Externí odkaz: http://arxiv.org/abs/2408.15854

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On dual quaternions, dual split quaternions and Cartan-Schouten metrics on perfect Lie groups

Autor: Diatta, Andre, Manga, Bakary, Sy, Fatimata

We discuss Cartan-Schouten metrics (Riemannian or pseudo-Riemannian metrics that are parallel with respect to the Cartan-Schouten canonical connection) on perfect Lie groups. Applications are foreseen in Information Geometry. Throughout this work, th

Externí odkaz: http://arxiv.org/abs/2310.02114

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Akademický článek

The impacts of anxiety emotion and behavioral control on student learning management system adoption

Autor: Ngafeeson, Madison N., Gautam, Yuba R., Manga, Joseph A.

Publikováno v: Journal of Systems and Information Technology, 2024, Vol. 26, Issue 1, pp. 71-88.

Externí odkaz: http://www.emeraldinsight.com/doi/10.1108/JSIT-02-2023-0040

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On the classification of 2-solvable Frobenius Lie algebras

Autor: Diatta, Andre, Manga, Bakary, Mbaye, Ameth

Publikováno v: Journal of Lie Theory 33 (2023), No. 3, 799-830

We discuss the classification of 2-solvable Frobenius Lie algebras. We prove that every 2-solvable Frobenius Lie algebra splits as a semidirect sum of an n-dimensional vector space V and an n-dimensional maximal Abelian subalgebra (MASA) of the full

Externí odkaz: http://arxiv.org/abs/2209.05595

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