A Hamiltonian approach to the gradient-flow equations in information geometry

We have studied the gradient-flow equations in information geometry from a point-particle perspective. Based on the motion of a null (or light-like) particle in a curved space, we have rederived the Hamiltonians which describe the gradient-flows in information geometry. Graphical abstract

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Bibliographische Detailangaben
Veröffentlicht in:	The European physical journal. B, Condensed matter physics Condensed matter physics, 2024-07, Vol.97 (7), Article 103
Hauptverfasser:	Wada, Tatsuaki, Scarfone, Antonio M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Complex Systems Condensed Matter Physics Flow equations Fluid- and Aerodynamics Gradient flow New Trends in Statistical Physics of Complex Systems: Theoretical and Experimental Approaches Physics Physics and Astronomy Regular Article - Statistical and Nonlinear Physics Solid State Physics
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Beschreibung
Zusammenfassung:	We have studied the gradient-flow equations in information geometry from a point-particle perspective. Based on the motion of a null (or light-like) particle in a curved space, we have rederived the Hamiltonians which describe the gradient-flows in information geometry. Graphical abstract
ISSN:	1434-6028 1434-6036
DOI:	10.1140/epjb/s10051-024-00747-8