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

Tatsuaki Wada () and Antonio M. Scarfone ()
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Tatsuaki Wada: Ibaraki University
Antonio M. Scarfone: Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche (ISC-CNR), c/o Politecnico di Torino

The European Physical Journal B: Condensed Matter and Complex Systems, 2024, vol. 97, issue 7, 1-12

Abstract: Abstract 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

Date: 2024
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DOI: 10.1140/epjb/s10051-024-00747-8

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