Results 141 to 150 of about 3,323 (160)
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Bregman Divergences from Comparative Convexity
2017Comparative convexity is a generalization of ordinary convexity based on abstract means instead of arithmetic means. We define and study the Bregman divergences with respect to comparative convexity. As an example, we consider the convexity induced by quasi-arithmetic means, report explicit formulas, and show that those Bregman divergences are ...
Frank Nielsen, Richard Nock
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Information Geometry of U-Boost and Bregman Divergence
Neural Computation, 2004We aim at an extension of AdaBoost to U-Boost, in the paradigm to build a stronger classification machine from a set of weak learning machines. A geometric understanding of the Bregman divergence defined by a generic convex function U leads to the U-Boost method in the framework of information geometry extended to the space of the finite measures over
Noboru Murata +3 more
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Bayes Risk Error is a Bregman Divergence
IEEE Transactions on Signal Processing, 2011In previous work reported in these Transactions, we proposed a new distortion measure for the quantization of prior probabilities that are used in the threshold of likelihood ratio test detection: Bayes risk error. In this correspondence, we show that the Bayes risk error is a member of the class of Bregman divergences and discuss the implications of ...
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Extending Metric Multidimensional Scaling with Bregman Divergences
Pattern Recognition, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jigang Sun, Malcolm K. Crowe, Colin Fyfe
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Bregman Divergences and the Self Organising Map
2008We discuss Bregman divergences and the very close relationship between a class of these divergences and the regular family of exponential distributions before applying them to various topology preserving dimension reducing algorithms. We apply these methods to identification of structure in magnetic resonance images of the brain and show that different
Eunsong Jang, Colin Fyfe, Hanseok Ko
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Coresets and Approximate Clustering for Bregman Divergences
Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms, 2009Marcel R. Ackermann, Johannes Blömer
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Phase Retrieval With Bregman Divergences and Application to Audio Signal Recovery
IEEE Journal on Selected Topics in Signal Processing, 2021Pierre-Hugo Vial +2 more
exaly
Generalizing Skew Jensen Divergences and Bregman Divergences With Comparative Convexity
IEEE Signal Processing Letters, 2017Frank Nielsen, Richard Nock
exaly
Scaled Bregman divergences in a Tsallis scenario
Physica A: Statistical Mechanics and Its Applications, 2011R C Venkatesan, A Plastino
exaly

