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On Information (pseudo) Metric

arXiv 2103.02008 ↗First posted 2 Mar 2021math.PR cs.IT math.ITcited by 0

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Abstract (arXiv)

This short note revisit information metric, underlining that it is a pseudo metric on manifolds of observables (random variables), rather than as usual on probability laws. Geodesics are characterized in terms of their boundaries and conditional independence condition. Pythagorean theorem is given, providing in special case potentially interesting natural integer triplets. This metric is computed for illustration on Diabetes dataset using infotopo package.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 3 of its 35 references that are in the map. First posted on arXiv 2 Mar 2021.

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3 of 35 references.

References · 3

  1. 2018UMAP: Uniform Manifold Approximation and Projection for Dimension Reductioncited by 2,898
  2. 2019Relation between the Kantorovich-Wasserstein metric and the Kullback-Leibler divergencecited by 4
  3. 2019Topological Information Data Analysiscited by 2

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