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Recent work has focused on the problem of nonparametric estimation of information divergence functionals.
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H. Chernoff, · 1952
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A. Rényi, · 1961
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Peter J Bickel and Murray Rosenblatt, · 1973
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“The jackknife estimate of variance,”
Bradley Efron and Charles Stein, · 1981
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Applied Nonparametric Regression
Wolfgang Härdle, · 1990
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“A tight upper bound on the Bayesian probability of error,”
W. A. Hashlamoun, P. K. Varshney, and V. Samarasooriya, · 1994
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“An extension of the Jeffreys-Matusita distance to multiclass cases for feature selection,”
L. Bruzzone, F. Roli, and S. B. Serpico, · 1995
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“Asymptotic normality of L1 error in density estimation,”
A Berlinet, L Devroye, and L Györfi, · 1995
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“Arbitrarily tight upper and lower bounds on the Bayesian probability of error,”
H. Avi-Itzhak and T. Diep, · 1996
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“Bhattacharyya distance feature selection,”
X. Guorong, C. Peiqi, and W. Minhui, · 1996
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“Asymptotic normality of relative entropy in multivariate density estimation,”
A Berlinet, László Györfi, and István Dénes, · 1997
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“Estimation of the information by an adaptive partitioning of the observation space,”
Georges A Darbellay, Igor Vajda, et al., · 1999
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“Kegg: kyoto encyclopedia of genes and genomes,”
Minoru Kanehisa and Susumu Goto, · 2000
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Topology
James Munkres, · 2000
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“Blind source separation using Renyi’s mutual information,”
K. E. Hild, D. Erdogmus, and J. C. Principe, · 2001
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Elliptic partial differential equations of second order
David Gilbarg and Neil S Trudinger, · 2001
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“Robust blind source separation by beta divergence,”
M. Mihoko and S. Eguchi, · 2002
Cited alongside, same era.
“Applications of entropic spanning graphs,”
A. O. Hero III, B. Ma, O. Michel, and J. Gorman, · 2002
Cited alongside, same era.
“A divisive information theoretic feature clustering algorithm for text classification,”
I. S. Dhillon, S. Mallela, and R. Kumar, · 2003
Cited alongside, same era.
“Image registration and segmentation by maximizing the Jensen-Rényi divergence,”
A. B. Hamza and H. Krim, · 2003
Cited alongside, same era.
“Clustering with Bregman divergences,”
A. Banerjee, S. Merugu, I. S. Dhillon, and J. Ghosh, · 2005
Cited alongside, same era.
“Divergence estimation of continuous distributions based on data-dependent partitions,”
Qing Wang, Sanjeev R Kulkarni, and Sergio Verdú, · 2005
Cited alongside, same era.
“Multivariate f-divergence estimation with confidence,”
K. R. Moon and A. O. Hero III, · 2014
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“Variable selection via penalized minimum φ \varphi -divergence estimation in logistic regression,”
D. M. Sakate and D. N. Kashid, · 2014
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“SAR image segmentation via non-local active contours,”
G. Liu, G. Xia, W. Yang, and N. Xue, · 2014
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“Ensemble estimation of multivariate f-divergence,”
K. R. Moon and A. O. Hero III, · 2014
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“Nonparametric estimation of renyi divergence and friends,”
A. Krishnamurthy, K. Kandasamy, B. Poczos, and L. Wasserman, · 2014
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“Generalized exponential concentration inequality for rényi divergence estimation,”
S. Singh and B. Póczos, · 2014
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“Real-time adaptive information-theoretic optimization of neurophysiology experiments,”
J. Lewi, R. Butera, and L. Paninski, · 2006
Cited alongside, same era.
“Divergence estimation for multidimensional densities via k-nearest-neighbor distances,”
Qing Wang, Sanjeev R Kulkarni, and Sergio Verdú, · 2009
Cited alongside, same era.
“Lecture notes on nonparametrics,”
Bruce E Hansen, · 2009
Cited alongside, same era.
“Information divergence estimation based on data-dependent partitions,”
Jorge Silva and Shrikanth S Narayanan, · 2010
Cited alongside, same era.
“Estimating divergence functionals and the likelihood ratio by convex risk minimization,”
X. Nguyen, M. J. Wainwright, and M. I. Jordan, · 2010
Cited alongside, same era.
Probability: Theory and Examples
Rick Durrett, · 2010
Cited alongside, same era.
Later among the works it cites.
“Exponential concentration of a density functional estimator,”
S. Singh and B. Póczos, · 2014
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“Meta learning of bounds on the Bayes classifier error,”
K.R. Moon, V. Delouille, and A. O. Hero III, · 2015
Later among the works it cites.
“Empirically estimable classification bounds based on a new divergence measure,”
V. Berisha, A. Wisler, A. O. Hero III, and A. Spanias, · 2015
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“Two-stage sampled learning theory on distributions,”
Z. Szabó, A. Gretton, B. Póczos, and B. Sriperumbudur, · 2015
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“Steganographic applications of the nearest-neighbor approach to Kullback-Leibler divergence estimation,”
V. Korzhik and I. Fedyanin, · 2015
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“Nonparametric von mises estimators for entropies, divergences and mutual informations,”
Kirthevasan Kandasamy, Akshay Krishnamurthy, Barnabas Poczos, Larry Wasserman, and James Robins, · 2015
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“Transcriptional heterogeneity and lineage commitment in myeloid progenitors,”
Franziska Paul, Ya’ara Arkin, Amir Giladi, Diego Adhemar Jaitin, Ephraim Kenigsberg, Hadas Keren-Shaul, Deborah Winter, David Lara-Astiaso, Meital Gury, Assaf Weiner, et al., · 2015
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“Kegg as a reference resource for gene and protein annotation,”
Minoru Kanehisa, Yoko Sato, Masayuki Kawashima, Miho Furumichi, and Mao Tanabe, · 2015
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“Improving convergence of divergence functional ensemble estimators,”
Kevin R Moon, Kumar Sricharan, Kristjan Greenewald, and Alfred O Hero, · 2016
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“The intrinsic value of HFO features as a biomarker of epileptic activity,”
Stephen V Gliske, Kevin R Moon, William C Stacey, and Alfred O Hero III, · 2016
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K. R. Moon, V. Delouille, J. J. Li, R. De Visscher, F. Watson, and A. O. Hero III, · 2016
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“Nonparametric ensemble estimation of distributional functionals,”
Kevin R Moon, Kumar Sricharan, Kristjan Greenewald, and Alfred O Hero III, · 2016
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