The DOI matches its Crossref record.
Differential-Geometrical Methods in Statistics
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
“The Mandelstam-Tamm and Margolus-Levitin inequalities play an important role in the study of quantum mechanical processes in Nature, since they provide general limits on the speed of dynamical evolution.”
From Geometric derivation of the quantum speed limit (2010) · cites this paper as [12]
Citations
Cites
Still being checked.
Cited by
Sorted by citations
Natural Gradient Works Efficiently in Learning
Амари, Ш.-И. (1998) · Neural Computation · doi:10.1162/089976698300017746 · Cited by 2,914
Independent Component Analysis
(2001) · Cambridge University Press eBooks · doi:10.1017/cbo9780511624148 · Cited by 1,950
A New Learning Algorithm for Blind Signal Separation
Амари, Ш.-И., Cichocki, A. S., & Yang, H. H. (1995) · Cited by 1,904
Improving predictive inference under covariate shift by weighting the log-likelihood function
Shimodaira, H. (2000) · Journal of Statistical Planning and Inference · doi:10.1016/s0378-3758(00)00115-4 · Cited by 1,678
Nonnegative Matrix and Tensor Factorizations
Cichocki, A. S., Zdunek, R., Phan, A. H., & Амари, Ш.-И. (2009) · Wiley eBooks · doi:10.1002/9780470747278 · Cited by 1,404
Metadata
- Authors
- Amari, S.-I.
- Venue
- Lecture Notes in Statistics
- Publisher
- Springer New York
- Published
- 1985
- ISSN
- 0930-0325 (ISSN-L)
- OpenAlex
- W1520168181
- Cited by
- 1,673
- References
- 0
- Citations by year
- 2026: 26 · 2025: 21 · 2024: 53 · 2023: 55 · 2022: 72 · 2021: 67 · 2020: 57 · 2019: 75 · 2018: 49 · 2017: 55 · 2016: 51 · 2015: 51 · 2014: 80 · 2013: 67 · 2012: 51
- FWCI
- 8.33
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Lecture notes in statistics (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Geometry Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Keywords
- differential geometry, statistical inference, statistical manifolds, information geometry
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.
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