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“IPF minimizes the strictly convex Kullback-Leibler divergence [15, 16] (see Sect. 5.2.2) over the set of matrices with the prescribed margins.”
From Classical Paradigm of Transportation Modeling (2026) · cites this paper as [16]
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“we introduce the Kullback-Leibler (KL) divergence loss [28] between the predictions of the quantized network and the full-precision network as soft labels to align their outputs, thereby recovering the performance of the quantized network”
From Task-Specific Zero-Shot Quantization-Aware Training for Object Detection (2025) · cites this paper as [28]
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“Rwalk improves the regularization methods of EWC and SI, and further improves the performance based on them. However, for performance reasons, some old data are still retained. This shows the effectiveness of rehearsal strategies for mitigating catastrophic forgetting.”
From An Appraisal of Incremental Learning Methods (2020) · cites this paper as [48]
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- [15]15. Journal, Vol. 27 (1948), pp. 379–423; pp. 623–656. - [17] B. L. WELCH, 'Note on discriminant functions," Biometrika, Vol.31 (1939), pp. 218–219. - [16] C. E. SHANNoN AND W. WEAvER, The Mathematical Theory of Communication, University of Illinois Press, Urbana, 1949. - [18] N. WiENER, Cybernetics, John Wiley and Sons, 1948. - [19] J. L. DooB, "Statistical estimation," Trans. Am. Math. Soc., Vol. 39 (1936), pp. 410–421. - [20] E. L. LEHmANN, "Some principles of the theory of testing hypotheses," Annals of Math. Stat., Vol. 21 (1950), pp. 1–26.
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“The second term represents the Kullback−Leibler divergence (Kullback & Leibler 1951) between the approximate posterior qf(s|y) and the prior pθ(s), and is effectively a constraint on the form of the approximate posterior.”
Background
Metadata
- Authors
- Kullback, S., & Leibler, R. A.
- Venue
- The Annals of Mathematical Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1951-03
- Volume
- 22
- Issue
- 1
- Pages
- 79-86
- ISSN
- 0003-4851 (ISSN-L)
- OpenAlex
- W1965555277
- Cited by
- 20,193
- References
- 0
- Citations by year
- 2026: 1111 · 2025: 1372 · 2024: 1320 · 2023: 1325 · 2022: 1331 · 2021: 1488 · 2020: 1323 · 2019: 1162 · 2018: 941 · 2017: 856 · 2016: 799 · 2015: 784 · 2014: 799 · 2013: 733 · 2012: 661
- FWCI
- 8.15
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- The Annals of Mathematical Statistics (publishedVersion)
- Project Euclid (Cornell University) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Keywords
- information, sufficiency, sufficient statistics, information theory, statistical inference
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 ›
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