Generalized Entropies and Legendre Duality

Abstract

They have shown that a simple and computationally efficient algorithm can be derived to construct the alpha-Voronoi diagrams on the space of discrete probability distributions to make use of conformally flattened structure of alpha-geometry. They also studied 1) geometry for q-exponential families which are related with alpha-geometry, and its statistical applications, and 2) conformal flatness of level surfaces in Hessian domains. Especially they studied harmonic maps between level surfaces of Hessian domains and its relation to conformally flat structure.

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Document Details

Document Type
Technical Report
Publication Date
Apr 22, 2012
Accession Number
ADA559903

Entities

People

  • Keiko Uohashi

Organizations

  • Tohoku Gakuin University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Computer Science
  • Conformal Structures
  • Coordinate Systems
  • Differential Equations
  • Differential Geometry
  • Discrete Distribution
  • Geometry
  • Information Science
  • Normal Distribution
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Statistical Inference
  • Statistical Mechanics
  • Statistics

Readers

  • Approximation Theory.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space