情報の幾何学的構造<br>Geometric Structures of Information〈1st ed. 2019〉

個数:1
紙書籍版価格 ¥22,688
  • Kinoppy

情報の幾何学的構造
Geometric Structures of Information〈1st ed. 2019〉

  • 著者名:Nielsen, Frank (EDT)
  • 価格 ¥16,705 (本体¥15,468)
  • Springer(2018/11/19発売)
  • ポイント 154pt (実際に付与されるポイントはお支払い画面でご確認下さい)
  • 言語:ENG
  • ISBN:9783030025199
  • eISBN:9783030025205

ファイル: /

Description

This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical domains like shape spaces, probability/optimization & algorithms on manifolds, relational and discrete metric spaces, computational and Hessian information geometry, algebraic/infinite dimensional/Banach information manifolds, divergence geometry, tensor-valued morphology, optimal transport theory, manifold & topology learning, and applications like geometries of audio-processing, inverse problems and signal processing.

The book collects the most important contributions to the conference GSI’2017 – Geometric Science of Information.


Table of Contents

Rho-Tau Embedding of Statistical Models.-&nbsp;A class of non-parametric deformed exponential

statistical models.-&nbsp;Statistical Manifolds Admitting Torsion and&nbsp;Partially Flat Spaces.-&nbsp;Conformal&nbsp;attening on the probability simplex&nbsp;and its applications to&nbsp;Voronoi partitions and centroids&nbsp;Atsumi Ohara.-&nbsp;Monte Carlo Information-Geometric Structures.-&nbsp;Information geometry in portfolio theory.-&nbsp;Generalising Frailty Assumptions in Survival&nbsp;Analysis: a Geometric Approach.-&nbsp;Some Universal Insights on Divergences for
Statistics, Machine Learning and Articial&nbsp;Intelligence.-&nbsp;Information-Theoretic Matrix
Inequalities and Diusion Processes on&nbsp;Unimodular Lie Groups.