The DOI matches its Crossref record.
Estimating mutual information
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
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 information-theoretic neuroscience literature has long recognized the importance of correcting for the limited-sampling bias and has provided effective tools for correcting the Shannon information sampling bias.24,25,26,27,28”
From Sampling bias corrections for discrete and Gaussian partial information decompositions (2026) · cites this paper as [28]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
No references could be resolved yet.
Research works printed but not linked: 36
- T. M. Cover, 1991, Elements of Information Theory, 10.1002/0471200611 · DOI
- A. Renyi, 1971, Probability Theory
- 2001, Independent Component Analysis: Principles and Practice
- A. Hyvärinen, 2001, Independent Component Analysis, 10.1002/0471221317 · DOI
- 10.1103/PhysRevE.52.2318 · DOI
- R. Steuer, 2002, Bioinformatics, 18, S231, 10.1093/bioinformatics/18.suppl_2.S231 · DOI · Paper page
- 10.1103/PhysRevA.33.1134 · DOI
- 10.1109/18.761290 · DOI
- 10.1016/0375-9601(88)90193-4 · DOI
- 10.1016/S0167-2789(98)00269-3 · DOI
- R. L. Dobrushin, 1958, Theor. Probab. Appl., 3, 462
- O. Vasicek, 1976, J. R. Stat. Soc. Ser. B. Methodol., 38, 54, 10.1111/j.2517-6161.1976.tb01566.x · DOI
- 10.1016/S0167-2789(02)00432-3 · DOI
- E. S. Dudewicz, 1981, J. Am. Stat. Assoc., 76, 967, 10.1080/01621459.1981.10477750 · DOI
- B. van Es, 1992, Scand. J. Stat., 19, 61
- 10.1016/0167-7152(94)90046-9 · DOI
- J. C. Correa, 1995, Commun. Stat: Theory Meth., 24, 2439, 10.1080/03610929508831626 · DOI
- A. B. Tsybakov, 1996, Scand. J. Stat., 23, 75
- R. Wieczorkowski, 1999, Commun. Stat.-Simul. Comput., 28, 541, 10.1080/03610919908813564 · DOI
- L. F. Kozachenko, 1987, Probl. Inf. Transm., 23, 95
- 10.1016/0375-9601(85)90724-8 · DOI
- R. L. Somorjai, 1986, Methods for Estimating the Intrinsic Dimensionality of High-Dimensional Point Sets, 10.1007/978-3-642-71001-8_17 · DOI
- 10.1103/PhysRevE.66.051903 · DOI
- 10.1109/18.825848 · DOI
- W. H. Press, 1993, Numerical Recipes
- 10.1016/0375-9601(90)90577-B · DOI
- 10.1016/S0167-9473(99)00020-1 · DOI
- G. A. Darbellay, 1999, 3rd IEEE European Workshop on Computer-intensive Methods in Control and Data Processing, Prague, 1998
- 10.1016/S0092-8674(00)00015-5 · DOI
- B. W. Silverman, 1986, Density Estimation for Statistics and Data Analysis, 10.1007/978-1-4899-3324-9 · DOI
- 10.1109/TBME.2002.805480 · DOI
- J.-F. Cardoso, 1998, Multidimensional Independent Component Analysis, Proceedings of ICASSP ’98
- J.-F. Cardoso, 1993, IEE Proc. F, Radar Signal Process., 140, 362, 10.1049/ip-f-2.1993.0054 · DOI
- A. Ziehe, 1998, An Efficient Algorithm for Blind Separation Using Time Structure
- 10.1109/51.731318 · DOI
- 10.1103/PhysRevE.62.3096 · DOI
Cited by
Sorted by citations
Representational similarity analysis-connecting the branches of systems neuroscience
Kriegeskorte, N. (2008) · Frontiers in Systems Neuroscience · doi:10.3389/neuro.06.004.2008 · Cited by 3,355
Detecting and quantifying causal associations in large nonlinear time series datasets
Runge, J., Nowack, P., Kretschmer, M., Flaxman, S., & Sejdinovic, D. (2019) · Science Advances · doi:10.1126/sciadv.aau4996 · Cited by 979
Equitability, mutual information, and the maximal information coefficient
Kinney, J. B., & Atwal, G. S. (2014) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1309933111 · Cited by 667
Gene Regulatory Network Inference from Single-Cell Data Using Multivariate Information Measures
Chan, T. E., Stumpf, M. P. H., & Babtie, A. C. (2017) · Cell Systems · doi:10.1016/j.cels.2017.08.014 · Cited by 578
MIFS-ND: A mutual information-based feature selection method
Hoque, N., Bhattacharyya, D. K., & Kalita, J. K. (2014) · Expert Systems with Applications · doi:10.1016/j.eswa.2014.04.019 · Cited by 442
Metadata
- Authors
- Kraskov, A., Stögbauer, H., & Grassberger, P.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2004-06-23
- Volume
- 69
- Issue
- 6
- ISSN
- 1539-3755
- 1550-2376
- Cited by
- 3,512
- References
- 0
- Language
- en
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Estimating mutual information. https://app.cochat.ai/papers/10.1103/physreve.69.066138
- The paper
- Kraskov, A., Stögbauer, H., & Grassberger, P. (2004). Estimating mutual information. Physical Review E. https://doi.org/10.1103/physreve.69.066138
