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Towards Abel Prize: The Generalized Brownian Motion Manifold's Fisher Information Matrix with Info-Geometric Applications to Energy Works

Fisher information matrix; Geometry; 'current; Energy; Energy work; Fisher information matrices; Fisher information matrix; Generalized brownian motion; Information geometry; Statistical manifold; Statistical manifolds; Brownian movement

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Bibliographic Details
Main Authors: Mageed I.A., Zhang Q., Akinci T.C., Yilmaz M., Sidhu M.S.
Other Authors: 57222724202
Format: Conference Paper
Published: Institute of Electrical and Electronics Engineers Inc. 2023
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spelling my.uniten.dspace-270312023-05-29T17:38:51Z Towards Abel Prize: The Generalized Brownian Motion Manifold's Fisher Information Matrix with Info-Geometric Applications to Energy Works Mageed I.A. Zhang Q. Akinci T.C. Yilmaz M. Sidhu M.S. 57222724202 58070690400 16229256000 55874217200 56259597000 Fisher information matrix; Geometry; 'current; Energy; Energy work; Fisher information matrices; Fisher information matrix; Generalized brownian motion; Information geometry; Statistical manifold; Statistical manifolds; Brownian movement The current paper provides a giant step ahead towards a revolutionary info-geometric unification with Generalized Brownian motion manifold (GBMM). More potentially, a new info-geometric limitation for the rescaling parameter of the GBMM is revealed, which was never known before in physics. Clearly, this emphasizes the potential role of Information geometry (IG) to re- study the dynamics of GBMM rather than other known classical approaches. In principle, the Shared Abel Prize (Noble Prize of Mathematics) 2020 between Furstenberg and Margulis surprised the academic community by their brilliant application of probabilistic techniques and random walks to resolve challenging issues in a variety of mathematical disciplines. This indicates the ultimate significance of the undertaken novel approach in this paper since we IG is employed to start a first ever investigation of Generalized Brownian Motion (GBM) which is the ultimate generalization to random walks. This provides more stunning mathematical insight to a unified contemporary analysis of GBM. This current work both generalizes and supersedes Furstenberg and Margulis. More interestingly, influential applications of Information geometry (IG) and Brownian Motion (BM) to energy works are overviewed. Fundamentally, the current work opens new frontiers to the info-geometry theory of Generalized Brownian Motion (IGBM) as well as the provision of new insights about the potential IG applications to all researchers in the field of energy. � 2022 IEEE. Final 2023-05-29T09:38:51Z 2023-05-29T09:38:51Z 2022 Conference Paper 10.1109/GEC55014.2022.9987239 2-s2.0-85146489938 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85146489938&doi=10.1109%2fGEC55014.2022.9987239&partnerID=40&md5=a2ed7d4ee9d88f52da1570576ccd5fcc https://irepository.uniten.edu.my/handle/123456789/27031 379 384 Institute of Electrical and Electronics Engineers Inc. Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
description Fisher information matrix; Geometry; 'current; Energy; Energy work; Fisher information matrices; Fisher information matrix; Generalized brownian motion; Information geometry; Statistical manifold; Statistical manifolds; Brownian movement
author2 57222724202
author_facet 57222724202
Mageed I.A.
Zhang Q.
Akinci T.C.
Yilmaz M.
Sidhu M.S.
format Conference Paper
author Mageed I.A.
Zhang Q.
Akinci T.C.
Yilmaz M.
Sidhu M.S.
spellingShingle Mageed I.A.
Zhang Q.
Akinci T.C.
Yilmaz M.
Sidhu M.S.
Towards Abel Prize: The Generalized Brownian Motion Manifold's Fisher Information Matrix with Info-Geometric Applications to Energy Works
author_sort Mageed I.A.
title Towards Abel Prize: The Generalized Brownian Motion Manifold's Fisher Information Matrix with Info-Geometric Applications to Energy Works
title_short Towards Abel Prize: The Generalized Brownian Motion Manifold's Fisher Information Matrix with Info-Geometric Applications to Energy Works
title_full Towards Abel Prize: The Generalized Brownian Motion Manifold's Fisher Information Matrix with Info-Geometric Applications to Energy Works
title_fullStr Towards Abel Prize: The Generalized Brownian Motion Manifold's Fisher Information Matrix with Info-Geometric Applications to Energy Works
title_full_unstemmed Towards Abel Prize: The Generalized Brownian Motion Manifold's Fisher Information Matrix with Info-Geometric Applications to Energy Works
title_sort towards abel prize: the generalized brownian motion manifold's fisher information matrix with info-geometric applications to energy works
publisher Institute of Electrical and Electronics Engineers Inc.
publishDate 2023
_version_ 1806424351063408640
score 13.223943

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