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- Bregman_divergence abstract "In mathematics, a Bregman divergence or Bregman distance is similar to a metric, but does not satisfy the triangle inequality nor symmetry. There are two ways in which Bregman divergences are important. Firstly, they generalize squared Euclidean distance to a class of distances that all share similar properties. Secondly, they bear a strong connection to exponential families of distributions; as has been shown by (Banerjee et al. 2005), there is a bijection between regular exponential families and regular Bregman divergences.Bregman divergences are named after Lev M. Bregman, who introduced the concept in 1967. More recently researchers in geometric algorithms have shown that many important algorithms can be generalized from Euclidean metrics to distances defined by Bregman divergence (Banerjee et al. 2005; Nielsen and Nock 2006; Boissonnat et al. 2010).".
- Bregman_divergence wikiPageExternalLink banerjee05b.html.
- Bregman_divergence wikiPageExternalLink UWEETR-2008-0001.pdf.
- Bregman_divergence wikiPageExternalLink en.
- Bregman_divergence wikiPageExternalLink index.html.
- Bregman_divergence wikiPageExternalLink index.html.
- Bregman_divergence wikiPageExternalLink SoCG07.
- Bregman_divergence wikiPageExternalLink FrigyikSrivastavaGupta.pdf.
- Bregman_divergence wikiPageExternalLink ISVD09-GenBregmanVD.pdf.
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- Bregman_divergence wikiPageExternalLink BregmanCentroids.
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- Bregman_divergence wikiPageRevisionID "677767948".
- Bregman_divergence wikiPageWikiLink Bijection.
- Bregman_divergence wikiPageWikiLink Category:Geometric_algorithms.
- Bregman_divergence wikiPageWikiLink Category:Statistical_distance_measures.
- Bregman_divergence wikiPageWikiLink Computational_geometry.
- Bregman_divergence wikiPageWikiLink Conference_on_Neural_Information_Processing_Systems.
- Bregman_divergence wikiPageWikiLink Convex_conjugate.
- Bregman_divergence wikiPageWikiLink Convex_function.
- Bregman_divergence wikiPageWikiLink Convex_set.
- Bregman_divergence wikiPageWikiLink Delaunay_triangulation.
- Bregman_divergence wikiPageWikiLink Discrete_and_Computational_Geometry.
- Bregman_divergence wikiPageWikiLink Duality_(projective_geometry).
- Bregman_divergence wikiPageWikiLink Exponential_family.
- Bregman_divergence wikiPageWikiLink Hamming_distance.
- Bregman_divergence wikiPageWikiLink IEEE_Transactions_on_Information_Theory.
- Bregman_divergence wikiPageWikiLink Itakura–Saito_distance.
- Bregman_divergence wikiPageWikiLink Journal_of_Machine_Learning_Research.
- Bregman_divergence wikiPageWikiLink Kullback–Leibler_divergence.
- Bregman_divergence wikiPageWikiLink Lev_M._Bregman.
- Bregman_divergence wikiPageWikiLink Mahalanobis_distance.
- Bregman_divergence wikiPageWikiLink Mathematics.
- Bregman_divergence wikiPageWikiLink Metric_(mathematics).
- Bregman_divergence wikiPageWikiLink Mutual_information.
- Bregman_divergence wikiPageWikiLink Precision_and_recall.
- Bregman_divergence wikiPageWikiLink Projective_duality.
- Bregman_divergence wikiPageWikiLink Steins_loss.
- Bregman_divergence wikiPageWikiLink Submodular_set_function.
- Bregman_divergence wikiPageWikiLink Taylor_expansion.
- Bregman_divergence wikiPageWikiLink Taylor_series.
- Bregman_divergence wikiPageWikiLink Triangle_inequality.
- Bregman_divergence wikiPageWikiLink Von_Neumann_entropy.
- Bregman_divergence wikiPageWikiLink Voronoi_diagram.
- Bregman_divergence wikiPageWikiLinkText "Bregman divergence".
- Bregman_divergence wikiPageWikiLinkText "entropic regularization".
- Bregman_divergence wikiPageWikiLinkText "generalized projection".
- Bregman_divergence hasPhotoCollection Bregman_divergence.
- Bregman_divergence wikiPageUsesTemplate Template:Cite_arxiv.
- Bregman_divergence wikiPageUsesTemplate Template:Cite_book.
- Bregman_divergence wikiPageUsesTemplate Template:Cite_conference.
- Bregman_divergence wikiPageUsesTemplate Template:Cite_journal.
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- Bregman_divergence wikiPageUsesTemplate Template:Refend.
- Bregman_divergence wikiPageUsesTemplate Template:Reflist.
- Bregman_divergence subject Category:Geometric_algorithms.
- Bregman_divergence subject Category:Statistical_distance_measures.
- Bregman_divergence type Algorithm.
- Bregman_divergence comment "In mathematics, a Bregman divergence or Bregman distance is similar to a metric, but does not satisfy the triangle inequality nor symmetry. There are two ways in which Bregman divergences are important. Firstly, they generalize squared Euclidean distance to a class of distances that all share similar properties. Secondly, they bear a strong connection to exponential families of distributions; as has been shown by (Banerjee et al.".
- Bregman_divergence label "Bregman divergence".
- Bregman_divergence sameAs Divergence_de_Bregman.
- Bregman_divergence sameAs m.0c5b8d.
- Bregman_divergence sameAs Q4960382.
- Bregman_divergence sameAs Q4960382.
- Bregman_divergence wasDerivedFrom Bregman_divergence?oldid=677767948.
- Bregman_divergence isPrimaryTopicOf Bregman_divergence.