Methods of Information Geometry

Amari, S., & Nagaoka, H. (2000). Methods of Information Geometry. Translations of Mathematical Monographs.

Type

Book

Intellectual base

Review or monograph

Year

2000

DOI

10.1090/mmono/191

ISBN

9780821843024

Link

https://doi.org/10.1090/mmono/191

Cited from

mathematics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Manifold
  • Information geometry transfers the framing into statistics by treating the space of probability distributions as a Riemannian manifold with the Fisher information as its metric

    This sourceTranslations of Mathematical Monographs 191. Providence: American Mathematical Society / Oxford University Press, 2000. Treats the space of probability distributions as a Riemannian manifold with the Fisher information as its metric, supporting natural-gradient and geodesic methods.

Domain-specific

• Information projection
  • A numerical approximate minimizer is not the mathematical projection without a gap or convergence claim.

Verification

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Links previously used in the corpus

Before the registry existed this work was also linked 1 other way.

• https://bookstore.ams.org/mmono-191 ×1

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