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.
A Hamiltonian approach to the gradient-flow equations in information geometry
A. M. ScarfoneUltimo
Writing – Review & Editing
2024
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.File in questo prodotto:
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A Hamiltonian approach to the gradient-flow equations.pdf
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