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

Published 17 Jun 2024 in math-ph and math.MP | (2406.11224v2)

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.

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