Group representations in probability and statistics
Integrity signals
Registry
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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?
The Mallows kernel is right-invariant in the sense that K(σ,σ') = K(τσ,τσ') for any τ ∈ S_d.
“The Mallows kernel is right-invariant in the sense that 𝐾 ( 𝜎, 𝜎 ′ ) = 𝐾 ( 𝜏𝜎,𝜏𝜎 ′ ) for any 𝜏 ∈ 𝔖 𝑑 [15].”
From Bandwidth-Optimal Random Shuffling for GPUs (2022) · cites this paper as [15]
Cites
Maximum Likelihood from Incomplete Data Via the <i>EM</i> Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444 · see citing works
Golub, G. (2012) · doi:10.56021/9781421407944 · Cited by 34,505 · see citing works
Parametric empirical Bayes inference: theory and applications
Morris, C. N. (1983) · Journal of the American Statistical Association · doi:10.1080/01621459.1983.10477920 · Cited by 1,448 · see citing works
Plackett, R. L. (1975) · Applied Statistics · doi:10.2307/2346567 · Cited by 731 · see citing works
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Cited by
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Geometric Bounds for Eigenvalues of Markov Chains
Diaconis, P., & Stroock, D. (1991) · The Annals of Applied Probability · doi:10.1214/aoap/1177005980 · Cited by 882 · see citing works
Self-citationAmbainis, A., Bach, E., Nayak, A., Vishwanath, A., & Watrous, J. (2001) · Proceedings of the thirty-third annual ACM symposium on Theory of computing · doi:10.1145/380752.380757 · Cited by 562 · see citing works
Quantum algorithms for algebraic problems
Childs, A. M., & van Dam, W. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1 · Cited by 344 · see citing works
McCullagh, P. (2002) · The Annals of Statistics · doi:10.1214/aos/1035844977 · Cited by 248 · see citing works
Towards a neuronal gauge theory
Sengupta, B., Tozzi, A., Cooray, G. K., Douglas, P. K., & Friston, K. J. (2016) · PLOS Biology · doi:10.1371/journal.pbio.1002400 · Cited by 132 · see citing works
Bandwidth-Optimal Random Shuffling for GPUs
Mitchell, R., Stokes, D., Frank, E., & Holmes, G. (2022) · ACM Transactions on Parallel Computing · doi:10.1145/3505287 · Cited by 6 · see citing works
Diophantine Gaussian excursions and random walks
Lachièze-Rey, R. (2021) · arXiv · doi:10.48550/arxiv.2104.07290 · Cited by 1 · see citing works
- Authors
- Diaconis, P.
- Corresponding author
- Diaconis, Persi
- ORCID
- Diaconis, Persi
- Venue
- SPIE eBooks
- Publisher
- SPIE
- Published
- 1988-01-01
- OpenAlex
- W1596709027
- Cited by
- 1,381
- References
- 4
- Citations by year
- 2026: 11 · 2025: 24 · 2024: 21 · 2023: 37 · 2022: 33 · 2021: 47 · 2020: 44 · 2019: 66 · 2018: 53 · 2017: 44 · 2016: 36 · 2015: 43 · 2014: 51 · 2013: 47 · 2012: 56
- FWCI
- 6.12
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- SPIE eBooks (publishedVersion)
- Project Euclid (Cornell University) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Finite Group Theory Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Keywords
- group representations, probability, statistics, representation theory
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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