The DOI matches its Crossref record.
Information Geometry
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“In turn, this means that it is equipped with a metric and implicit information geometry [39, 40, 41].”
From The free energy principle made simpler but not too simple (2023) · cites this paper as [40]
Citations
Cited by
Sorted by citations
The free energy principle made simpler but not too simple
Friston, K., Da Costa, L., Sajid, N., Heins, C., Ueltzhöffer, K., Pavliotis, G. A., & Parr, T. (2023) · Physics Reports · doi:10.1016/j.physrep.2023.07.001 · Cited by 163
Neural dynamics under active inference: plausibility and efficiency of information processing
Da Costa, L., Parr, T., Sengupta, B., & Friston, K. (2021) · Entropy · doi:10.3390/e23040454 · Cited by 38
Metadata
- Authors
- Ay, N., Jost, J., Lê, H. V., & Schwachhöfer, L.
- Affiliations
- Max Planck Institute for Mathematics in the Sciences (DE)
- Czech Academy of Sciences (CZ)
- TU Dortmund University (DE)
- Venue
- Ergebnisse der Mathematik und ihrer Grenzgebiete 34
- Publisher
- Springer International Publishing
- Published
- 2017
- ISSN
- 0071-1136 (ISSN-L)
- 2197-5655
- OpenAlex
- W4230394162
- Cited by
- 268
- References
- 0
- Citations by year
- 2026: 29 · 2025: 38 · 2024: 24 · 2023: 35 · 2022: 30 · 2021: 43 · 2020: 28 · 2019: 21 · 2018: 16 · 2017: 4
- FWCI
- 12.23
- Type
- book
- Language
- de
- Open access
- closed
- Locations
- Ergebnisse der Mathematik und ihrer Grenzgebiete (publishedVersion)
- ASEP (submittedVersion, public-domain)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- DIAL (Catholic University of Leuven) (submittedVersion)
- Max Planck Institute for Plasma Physics (submittedVersion)
- tub.dok (Hamburg University of Technology) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Geometry Research
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Keywords
- information geometry, statistical manifolds, Fisher information metric, Cramér-Rao inequality, hierarchical models, probabilistic graphical models, complexity theory, population genetics, Markov chain Monte Carlo, Riemannian geometry, Banach spaces
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review