Fetching the paper…
Reading the bibliography…
Mixture distributions arise in many parametric and non-parametric settings -- for example, in Gaussian mixture models and in non-parametric estimation.
The fréchet distance between multivariate normal distributions
DC Dowson and BV Landau · 1982
Earlier work this paper cites.
The distance between two random vectors with given dispersion matrices
Ingram Olkin and Friedrich Pukelsheim · 1982
Earlier work this paper cites.
Estimation of entropy and other functionals of a multivariate density
Harry Joe · 1989
Earlier work this paper cites.
Introduction to statistical pattern recognition
Keinosuke Fukunaga · 1990
Earlier work this paper cites.
On the estimation of entropy
Peter Hall and Sally C Morton · 1993
Earlier work this paper cites.
Optimization of entropy with neural networks
Nicol Norbert Schraudolph · 1995
Earlier work this paper cites.
Empirical Entropy Manipulation for Real-World Problems
Paul Viola, Nicol N. Schraudolph, and Terrence J. Sejnowski · 1996
Earlier work this paper cites.
Nonparametric entropy estimation: An overview
Jan Beirlant, Edward J Dudewicz, László Györfi, and Edward C Van der Meulen · 1997
Earlier work this paper cites.
Mutual information, metric entropy and cumulative relative entropy risk
D. Haussler and M. Opper · 1997
Earlier work this paper cites.
The information bottleneck method
N. Tishby, F. Pereira, and W. Bialek · 1999
Earlier work this paper cites.
Mode-finding for mixtures of gaussian distributions
Miguel A. Carreira-Perpinan · 2000
Earlier work this paper cites.
Information theoretic learning
Jose C Principe, Dongxin Xu, and John Fisher · 2000
Earlier work this paper cites.
Alpha-Divergence for Classification, Indexing and Retrieval
Alfred O. Hero, Bing Ma, Olivier Michel, and John Gorman · 2001
Earlier work this paper cites.
An efficient image similarity measure based on approximations of kl-divergence between two gaussian mixtures
Jacob Goldberger, Shiri Gordon, Hayit Greenspan, et al · 2003
Earlier work this paper cites.
Bhattacharyya and expected likelihood kernels
Tony Jebara and Risi Kondor · 2003
Cited alongside, same era.
Finite mixture models
Geoffrey McLachlan and David Peel · 2004
Cited alongside, same era.
Gradient-based manipulation of nonparametric entropy estimates
Nicol N. Schraudolph · 2004
Cited alongside, same era.
Probability product kernels
Tony Jebara, Risi Kondor, and Andrew Howard · 2004
Cited alongside, same era.
Fast kernel entropy estimation and optimization
Sarit Shwartz, Michael Zibulevsky, and Yoav Y. Schechner · 2005
Cited alongside, same era.
Clustering with bregman divergences
Arindam Banerjee, Srujana Merugu, Inderjit S Dhillon, and Joydeep Ghosh · 2005
Cited alongside, same era.
Statistical Inference Based on Divergence Measures
Families of alpha-beta-and gamma-divergences: Flexible and robust measures of similarities
Andrzej Cichocki and Shun-ichi Amari · 2010
Later among the works it cites.
Two useful bounds for variational inference
John Paisley · 2010
Later among the works it cites.
Chernoff information of exponential families
Frank Nielsen · 2011
Later among the works it cites.
Elements of information theory
Thomas M. Cover and Joy A. Thomas · 2012
Later among the works it cites.
Rényi divergence measures for commonly used univariate continuous distributions
Manuel Gil, Fady Alajaji, and Tamas Linder · 2013
Later among the works it cites.
Range safety assessment tool (rsat): An analysis environment for safety assessment of launch and reentry vehicles
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Leandro Pardo · 2005
Cited alongside, same era.
On entropy for mixtures of discrete and continuous variables
Chandra Nair, Balaji Prabhakar, and Devavrat Shah · 2006
Cited alongside, same era.
Approximating the Kullback Leibler divergence between Gaussian mixture models
John R. Hershey and Peder A. Olsen · 2007
Cited alongside, same era.
Accelerated monte carlo for kullback-leibler divergence between gaussian mixture models
Jia-Yu Chen, John R Hershey, Peder A Olsen, and Emmanuel Yashchin · 2008
Cited alongside, same era.
On entropy approximation for gaussian mixture random vectors
Marco F Huber, Tim Bailey, Hugh Durrant-Whyte, and Uwe D Hanebeck · 2008
Cited alongside, same era.
A reproducing kernel hilbert space framework for information-theoretic learning
Jian-Wu Xu, António RC Paiva, Il Park, and Jose C Principe · 2008
Cited alongside, same era.
Francisco M Capristan and Juan J Alonso · 2014
Later among the works it cites.
Variational bayesian inference with gaussian-mixture approximations
O Zobay et al · 2014
Later among the works it cites.
Rényi divergence and kullback-leibler divergence
Tim Van Erven and Peter Harremos · 2014
Later among the works it cites.
Generalized Bhattacharyya and Chernoff upper bounds on Bayes error using quasi-arithmetic means
Frank Nielsen · 2014
Later among the works it cites.
Bounds on rényi and shannon entropies for finite mixtures of multivariate skew-normal distributions: Application to swordfish (xiphias gladius linnaeus)
Javier E Contreras-Reyes and Daniel Devia Cortés · 2016
Later among the works it cites.
f f -divergence inequalities
Igal Sason and Sergio Verdú · 2016
Later among the works it cites.
Nonlinear Information Bottleneck
Artemy Kolchinsky, Brendan D. Tracey, and David H. Wolpert · 2017
Closest in time.
On Measures of Entropy and Information
Gavin E Crooks · 2017
Closest in time.