Evidence map›Paper›PMID 33286868›Full record

ReviewEntropy (Basel, Switzerland)2020

An Elementary Introduction to Information Geometry.

Frank Nielsen

Abstract readReview
In one paragraph

Review in Entropy (Basel, Switzerland), 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 28 papers.

0numbers the graph read from it
0cells of the map it votes in
28citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

28 citing papers in PubMed.

  1. Article
  2. Article
  3. Article
  4. Article
  5. Article
  6. Article
  7. Article
  8. Article
  9. Symplectic Bregman Divergences.Entropy (Basel, Switzerland) · 2024
    Article
  10. Article
  11. Article
  12. Article
  13. Article
  14. Information geometry for multiparameter models: new perspectives on the origin of simplicity.Reports on progress in physics. Physical Society (Great Britain) · 2022
    Review
  15. Article
  16. Information Geometry in Roegenian Economics.Entropy (Basel, Switzerland) · 2022
    Article
  17. Article
  18. Review
  19. Article
  20. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

1 author.

Frank NielsenSony Computer Science Laboratories, Tokyo 141-0022, Japan.ORCID 0000-0001-5728-0726

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

In this survey, we describe the fundamental differential-geometric structures of information manifolds, state the fundamental theorem of information geometry, and illustrate some use cases of these information manifolds in information sciences. The exposition is self-contained by concisely introducing the necessary concepts of differential geometry. Proofs are omitted for brevity.

Indexed as

affine connectionBayesian hypothesis testingconjugate connectionscurvature and flatnessdifferential geometrydually flat manifoldsdual metric-compatible parallel transportexponential familyFisher–Rao distancegauge freedomHessian manifoldsinformation manifoldmetric compatibilitymetric tensormixed parameterizationmixture clusteringmixture familyparameter divergenceseparable divergencestatistical divergencestatistical invariancestatistical manifoldα-embeddings

Identifiers

PMID33286868
PMCPMC7650632

What OpenQuestion holds

Textmetadata
LicenceCC BY
Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.