Estimating Divergence Functionals and the Likelihood Ratio by Convex Risk Minimization
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[1] G. C. Hood. Estimation of Entropy , 1953 .
[2] S. M. Ali,et al. A General Class of Coefficients of Divergence of One Distribution from Another , 1966 .
[3] M. Birman,et al. PIECEWISE-POLYNOMIAL APPROXIMATIONS OF FUNCTIONS OF THE CLASSES $ W_{p}^{\alpha}$ , 1967 .
[4] T. Kailath. The Divergence and Bhattacharyya Distance Measures in Signal Selection , 1967 .
[5] 丸山 徹. Convex Analysisの二,三の進展について , 1977 .
[6] B. Silverman,et al. On the Estimation of a Probability Density Function by the Maximum Penalized Likelihood Method , 1982 .
[7] I. Ibragimov,et al. On Nonparametric Estimation of the Value of a Linear Functional in Gaussian White Noise , 1985 .
[8] L. Györfi,et al. Density-free convergence properties of various estimators of entropy , 1987 .
[9] Saburou Saitoh,et al. Theory of Reproducing Kernels and Its Applications , 1988 .
[10] H. Joe. Estimation of entropy and other functionals of a multivariate density , 1989 .
[11] H. Joe. Relative Entropy Measures of Multivariate Dependence , 1989 .
[12] D. Donoho,et al. Geometrizing Rates of Convergence, III , 1991 .
[13] Thomas M. Cover,et al. Elements of Information Theory , 2005 .
[14] P. Comon. Independent Component Analysis , 1992 .
[15] J. Hiriart-Urruty,et al. Convex analysis and minimization algorithms , 1993 .
[16] J. Tsitsiklis. Decentralized Detection' , 1993 .
[17] P. Hall,et al. On the estimation of entropy , 1993 .
[18] Pierre Comon,et al. Independent component analysis, A new concept? , 1994, Signal Process..
[19] P. Massart,et al. Estimation of Integral Functionals of a Density , 1995 .
[20] B. Laurent. Efficient estimation of integral functionals of a density , 1996 .
[21] G. Kerkyacharian,et al. Estimating nonquadratic functionals of a density using Haar wavelets , 1996 .
[22] Jon A. Wellner,et al. Weak Convergence and Empirical Processes: With Applications to Statistics , 1996 .
[23] Bin Yu. Assouad, Fano, and Le Cam , 1997 .
[24] Alexander J. Smola,et al. Learning with kernels , 1998 .
[25] A. V. D. Vaart,et al. Asymptotic Statistics: Frontmatter , 1998 .
[26] Yuhong Yang,et al. Information-theoretic determination of minimax rates of convergence , 1999 .
[27] Flemming Topsøe,et al. Some inequalities for information divergence and related measures of discrimination , 2000, IEEE Trans. Inf. Theory.
[28] S. Geer. Empirical Processes in M-Estimation , 2000 .
[29] S. R. Jammalamadaka,et al. Empirical Processes in M-Estimation , 2001 .
[30] E. Oja,et al. Independent Component Analysis , 2013 .
[31] Felipe Cucker,et al. On the mathematical foundations of learning , 2001 .
[32] Ding-Xuan Zhou,et al. The covering number in learning theory , 2002, J. Complex..
[33] A. Keziou. Dual representation of Φ-divergences and applications , 2003 .
[34] Nello Cristianini,et al. Kernel Methods for Pattern Analysis , 2003, ICTAI.
[35] Martin J. Wainwright,et al. ON surrogate loss functions and f-divergences , 2005, math/0510521.
[36] Martin J. Wainwright,et al. On divergences, surrogate loss functions, and decentralized detection , 2005, ArXiv.
[37] Qing Wang,et al. Divergence estimation of continuous distributions based on data-dependent partitions , 2005, IEEE Transactions on Information Theory.
[38] Michael I. Jordan,et al. Convexity, Classification, and Risk Bounds , 2006 .
[39] Igor Vajda,et al. On Divergences and Informations in Statistics and Information Theory , 2006, IEEE Transactions on Information Theory.
[40] Sanjeev R. Kulkarni,et al. A Nearest-Neighbor Approach to Estimating Divergence between Continuous Random Vectors , 2006, 2006 IEEE International Symposium on Information Theory.
[41] Martin J. Wainwright,et al. Nonparametric estimation of the likelihood ratio and divergence functionals , 2007, 2007 IEEE International Symposium on Information Theory.
[42] Martin J. Wainwright,et al. Estimating divergence functionals and the likelihood ratio by penalized convex risk minimization , 2007, NIPS.
[43] A. Keziou,et al. On empirical likelihood for semiparametric two-sample density ratio models , 2008 .
[44] D. Donoho,et al. Geometrizing Rates of Convergence , II , 2008 .
[45] Le Song,et al. Relative Novelty Detection , 2009, AISTATS.
[46] Michel Broniatowski,et al. Parametric estimation and tests through divergences and the duality technique , 2008, J. Multivar. Anal..
[47] Seungjin Choi,et al. Independent Component Analysis , 2009, Handbook of Natural Computing.