A Hamiltonian approach to the gradient-flow equations in information geometry
arXiv:2406.11224 · doi:10.1140/epjb/s10051-024-00747-8
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.
14 pages, 1 figure, accepted to EPJB
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