Hessian metric via transport information geometry

23 Mar 2020 Wuchen Li

We propose to study the Hessian metric of {a functional on the space of probability measures endowed with the Wasserstein $2$-metric}. We name it transport Hessian metric, which contains and extends the classical Wasserstein-$2$ metric... (read more)

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Categories


  • DIFFERENTIAL GEOMETRY
  • INFORMATION THEORY
  • MATHEMATICAL PHYSICS
  • INFORMATION THEORY
  • MATHEMATICAL PHYSICS