PreprintArticleVersion 1Preserved in Portico This version is not peer-reviewed
Info-Geometric Analysis of the Dynamics of Parthasarathian Transient Solution of M/M/1 Queue Manifold with Info-Geometric Applications to Machine Learning
Version 1
: Received: 26 January 2024 / Approved: 29 January 2024 / Online: 29 January 2024 (09:28:49 CET)
How to cite:
A Mageed, I. Info-Geometric Analysis of the Dynamics of Parthasarathian Transient Solution of M/M/1 Queue Manifold with Info-Geometric Applications to Machine Learning. Preprints2024, 2024012008. https://doi.org/10.20944/preprints202401.2008.v1
A Mageed, I. Info-Geometric Analysis of the Dynamics of Parthasarathian Transient Solution of M/M/1 Queue Manifold with Info-Geometric Applications to Machine Learning. Preprints 2024, 2024012008. https://doi.org/10.20944/preprints202401.2008.v1
A Mageed, I. Info-Geometric Analysis of the Dynamics of Parthasarathian Transient Solution of M/M/1 Queue Manifold with Info-Geometric Applications to Machine Learning. Preprints2024, 2024012008. https://doi.org/10.20944/preprints202401.2008.v1
APA Style
A Mageed, I. (2024). Info-Geometric Analysis of the Dynamics of Parthasarathian Transient Solution of M/M/1 Queue Manifold with Info-Geometric Applications to Machine Learning. Preprints. https://doi.org/10.20944/preprints202401.2008.v1
Chicago/Turabian Style
A Mageed, I. 2024 "Info-Geometric Analysis of the Dynamics of Parthasarathian Transient Solution of M/M/1 Queue Manifold with Info-Geometric Applications to Machine Learning" Preprints. https://doi.org/10.20944/preprints202401.2008.v1
Abstract
The current study characterizes the transient M/M/1 queue manifold info-geometrically, through devising Fisher Information matrix(FIM) and its inverse(IFIM). Additionally, the impact of stability on the existence of IFIM and explore the geodesic equations of motion has been revealed. More potentially, the paper discusses some info-geometric applications to Machine Learning are highlighted. Closing remarks with some challenging open problems combined with the next phase of research are given.
Keywords
Transient M/M/1; Information Geometry (IG); statistical manifold (SM); queue manifold (QM); Information Geodesic equations of motion (IEMs); Fisher Information matrix (FIM); Inverse Fisher Information matrix (IFIM); Machine Learning (ML)
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
