L1 Covering Numbers for Uniformly Bounded Convex Functions
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[1] P. Massart,et al. Concentration inequalities and model selection , 2007 .
[2] L. Duembgen,et al. APPROXIMATION BY LOG-CONCAVE DISTRIBUTIONS, WITH APPLICATIONS TO REGRESSION , 2010, 1002.3448.
[3] D. Dunson,et al. Bayesian nonparametric multivariate convex regression , 2011, 1109.0322.
[4] A. W. van der Vaart,et al. Uniform Central Limit Theorems , 2001 .
[5] Aditya Guntuboyina. Lower Bounds for the Minimax Risk Using $f$-Divergences, and Applications , 2011, IEEE Transactions on Information Theory.
[6] Jon A Wellner,et al. NONPARAMETRIC ESTIMATION OF MULTIVARIATE CONVEX-TRANSFORMED DENSITIES. , 2009, Annals of statistics.
[7] P. Milanfar,et al. Convergence of algorithms for reconstructing convex bodies and directional measures , 2006, math/0608011.
[8] Richard J. Samworth,et al. Maximum likelihood estimation of a multi-dimensional log-concave density: Estimation of a Multi-dimensional Log-concave Density , 2010 .
[9] Yuhong Yang,et al. Information-theoretic determination of minimax rates of convergence , 1999 .
[10] Lucien Birgé. Approximation dans les espaces métriques et théorie de l'estimation , 1983 .
[11] Adityanand Guntuboyina,et al. Covering Numbers for Convex Functions , 2012, IEEE Transactions on Information Theory.
[12] D. Dryanov,et al. Kolmogorov Entropy for Classes of Convex Functions , 2009 .
[13] S. Geer. Applications of empirical process theory , 2000 .
[14] E. Bronshtein. ε-Entropy of convex sets and functions , 1976 .
[15] M. Cule,et al. Maximum likelihood estimation of a multi‐dimensional log‐concave density , 2008, 0804.3989.
[16] P. Massart,et al. Rates of convergence for minimum contrast estimators , 1993 .
[17] E. Seijo,et al. Nonparametric Least Squares Estimation of a Multivariate Convex Regression Function , 2010, 1003.4765.
[18] L. Lecam. Convergence of Estimates Under Dimensionality Restrictions , 1973 .