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Estimating entropy and mutual information consistently is important for many machine learning applications.
A statistical estimate for the entropy of a random vector
Kozachenko, L. F. and Leonenko, N. N · 1987
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Fractal random walks from a variational formalism for Tsallis entropies
Alemany, P. A. and Zanette, D. H · 1994
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Estimation of integral functions of a density
Birge, L. and Massart, P · 1995
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Root- n n consistent estimators of entropy for densities with unbounded support
Tsybakov, A. B. and van der Meulen, E. C · 1996
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Asymptotic moments of near–neighbour distance distributions
Evans, Dafydd, Jones, Antonia J, and Schmidt, Wolfgang M · 2002
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ICA using spacings estimates of entropy
Learned-Miller, E. G. and Fisher, J. W · 2003
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Information theory in molecular biology
Adami, C · 2004
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Estimating mutual information
Kraskov, A., Stögbauer, H., and Grassberger, P · 2004
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Minimum-entropy estimation in semi-parametric models
Wolsztynski, E., Thierry, E., and Pronzato, L · 2004
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A new class of random vector entropy estimators and its applications in testing statistical hypotheses
Goria, M. N., Leonenko, N. N., Mergel, V. V., and Inverardi, P. L. Novi · 2005
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Feature selection based on mutual information: Criteria of max-dependency, max-relevance, and min-redundancy
Peng, H. and Dind, C · 2005
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Independent subspace analysis using geodesic spanning trees
Póczos, B. and Lőrincz, A · 2005
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Conditional mutual information based boosting for facial expression recognition
Shan, C., Gong, S., and Mcowan, P. W · 2005
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Incremental updating of nearest neighbor-based high-dimensional entropy estimation
Kybic, J · 2006
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A hierarchical clustering based on mutual information maximization
Aghagolzadeh, M., Soltanian-Zadeh, H., Araabi, B., and Aghagolzadeh, A · 2007
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Causality detection based on information-theoretic approaches in time series analysis
Hlaváckova-Schindler, K., Paluŝb, M., Vejmelkab, M., and Bhattacharya, J · 2007
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Real-time adaptive information-theoretic optimization of neurophysiology experiments
Lewi, J., Butera, R., and Paninski, L · 2007
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Undercomplete blind subspace deconvolution
Identification of recurrent neural networks by Bayesian interrogation techniques
Póczos, B. and Lőrincz, A · 2009
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Divergence estimation for multidimensional densities via k k -nearest-neighbor distances
Wang, Q., Kulkarni, S.R., and Verdú, S · 2009
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Estimation of Rényi entropy and mutual information based on generalized nearest-neighbor graphs
Pál, D., Póczos, B., and Szepesvári, Cs · 2010
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Empirical estimation of entropy functionals with confidence
Sricharan, K., Raich, R., and Hero, A · 2010
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Exponential concentration inequality for mutual information estimation
Liu, H., Lafferty, J., and Wasserman, L · 2012
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Szabó, Z., Póczos, B., and Lőrincz, A · 2007
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A law of large numbers for nearest neighbor statistics
Evans, D · 2008
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Constrained subspace ICA based on mutual information optimization directly
Hulle, M. M. Van · 2008
Cited alongside, same era.
A class of Rényi information estimators for multidimensional densities
Leonenko, N., Pronzato, L., and Savani, V · 2008
Cited alongside, same era.
Estimation of information theoretic measures for continuous random variables
Pérez-Cruz, F · 2008
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Introduction to Nonparametric Estimation
Tsybakov, A.B · 2008
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Exploring functional connectivity of the human brain using multivariate information analysis
Chai, B., Walther, D. B., Beck, D. M., and Fei-Fei, L · 2009
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Sricharan, K., Wei, D., and Hero, A · 2012
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Infinite shannon entropy
Baccetti, Valentina and Visser, Matt · 2013
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Rates of convergence for nearest neighbor classification
Chaudhuri, Kamalika and Dasgupta, Sanjoy · 2014
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Nonparametric estimation of renyi divergence and friends
Krishnamurthy, A., Kandasamy, K., Poczos, B., and Wasserman, L · 2014
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Ensemble estimation of multivariate f-divergence
Moon, Kevin R and Hero, Alfred O · 2014
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Entropy estimation
Biau, Gérard and Devroye, Luc · 2015
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Nonparametric von mises estimators for entropies, divergences and mutual informations
Kandasamy, Kirthevasan, Krishnamurthy, Akshay, Poczos, Barnabas, Wasserman, Larry, et al · 2015
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