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The Jensen-Shannon divergence is a renown bounded symmetrization of the Kullback-Leibler divergence which does not require probability densities to have matching supports.
Les éléments aléatoires de nature quelconque dans un espace distancié
Maurice Fréchet · 1948
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A general class of coefficients of divergence of one distribution from another
Syed Mumtaz Ali and Samuel D Silvey · 1966
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Information-type measures of difference of probability distributions and indirect observation
Imre Csiszár · 1967
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On powers of f f -divergences defining a distance
P Kafka, F Österreicher, and I Vincze · 1991
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Divergence measures based on the Shannon entropy
Jianhua Lin · 1991
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The singly truncated normal distribution: a non-steep exponential family
Joan Del Castillo · 1994
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Measures of distributional similarity
Lillian Lee · 1999
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Symmetrizing the Kullback-Leibler distance
Don Johnson and Sinan Sinanovic · 2001
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On the effectiveness of the skew divergence for statistical language analysis
Lillian Lee · 2001
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The concave-convex procedure (cccp)
Alan L Yuille and Anand Rangarajan · 2002
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A new metric for probability distributions
Dominik Maria Endres and Johannes E Schindelin · 2003
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Clustering with Bregman divergences
Arindam Banerjee, Srujana Merugu, Inderjit S Dhillon, and Joydeep Ghosh · 2005
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k k -means++: The advantages of careful seeding
David Arthur and Sergei Vassilvitskii · 2007
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Probability and measure
Patrick Billingsley · 2008
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On the convergence of the concave-convex procedure
Gert R. Lanckriet and Bharath K. Sriperumbudur · 2009
Cited alongside, same era.
Sided and symmetrized Bregman centroids
Frank Nielsen and Richard Nock · 2009
Cited alongside, same era.
Directional distributional similarity for lexical inference
Lili Kotlerman, Ido Dagan, Idan Szpektor, and Maayan Zhitomirsky-Geffet · 2010
Cited alongside, same era.
A family of statistical symmetric divergences based on Jensen’s inequality
Frank Nielsen · 2010
Cited alongside, same era.
Generative adversarial nets
Ian Goodfellow, Jean Pouget-Abadie, Mehdi Mirza, Bing Xu, David Warde-Farley, Sherjil Ozair, Aaron Courville, and Yoshua Bengio · 2014
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Information measures: the curious case of the binary alphabet
Jiantao Jiao, Thomas A Courtade, Albert No, Kartik Venkat, and Tsachy Weissman · 2014
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On clustering histograms with k k -means by using mixed α \alpha -divergences
Frank Nielsen, Richard Nock, and Shun-ichi Amari · 2014
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Total Jensen divergences: definition, properties and clustering
Frank Nielsen and Richard Nock · 2015
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Information geometry and its applications
Shun-ichi Amari · 2016
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Guaranteed bounds on information-theoretic measures of univariate mixtures using piecewise log-sum-exp inequalities
Frank Nielsen and Ke Sun · 2016
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Entropies and cross-entropies of exponential families
Frank Nielsen and Richard Nock · 2010
Cited alongside, same era.
The Burbea-Rao and Bhattacharyya centroids
Frank Nielsen and Sylvain Boltz · 2011
Cited alongside, same era.
Skew Jensen-Bregman Voronoi diagrams
Frank Nielsen and Richard Nock · 2011
Cited alongside, same era.
Elements of information theory
Thomas M. Cover and Joy A. Thomas · 2012
Cited alongside, same era.
Jeffreys centroids: A closed-form expression for positive histograms and a guaranteed tight approximation for frequency histograms
Frank Nielsen · 2013
Cited alongside, same era.
Learning mixtures by simplifying kernel density estimators
Olivier Schwander and Frank Nielsen · 2013
Cited alongside, same era.
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Monte Carlo information geometry: The dually flat case
Frank Nielsen and Gaëtan Hadjeres · 2018
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On the geometry of mixtures of prescribed distributions
Frank Nielsen and Richard Nock · 2018
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On f f -divergences: Integral representations, local behavior, and inequalities
Igal Sason · 2018
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On the Jensen-Shannon symmetrization of distances relying on abstract means
Frank Nielsen · 2019
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Encyclopedia of Mathematics
Springer Verlag GmbH, European Mathematical Society · 2019
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Some bounds for skewed α \alpha -Jensen-Shannon divergence
Takuya Yamano · 2019
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