Adaptive estimation of planar convex sets
暂无分享,去创建一个
[1] R. A. Vitale,et al. Polygonal approxi-mation of plane convex bodies , 1975 .
[2] D. L. Hanson,et al. Consistency in Concave Regression , 1976 .
[3] F. T. Wright. The Asymptotic Behavior of Monotone Regression Estimates , 1981 .
[4] Piet Groeneboom,et al. The Concave Majorant of Brownian Motion , 1983 .
[5] P. Groeneboom. Estimating a monotone density , 1984 .
[6] L. L. Cam,et al. Asymptotic Methods In Statistical Decision Theory , 1986 .
[7] Jerry L. Prince,et al. Reconstructing Convex Sets from Support Line Measurements , 1990, IEEE Trans. Pattern Anal. Mach. Intell..
[8] E. Mammen. Nonparametric regression under qualitative smoothness assumptions , 1991 .
[9] Sanjeev R. Kulkarni,et al. Convex-polygon estimation from support-line measurements and applications to target reconstruction from laser-radar data , 1992 .
[10] R. Schneider. Convex Bodies: The Brunn–Minkowski Theory: Minkowski addition , 1993 .
[11] R. Gardner. Geometric Tomography: Parallel X-rays of planar convex bodies , 2006 .
[12] Nicholas I. Fisher,et al. On the Estimation of a Convex Set from Noisy Data on its Support Function , 1997 .
[13] Asymptotic behavior of the grenander estimator at density flat regions , 1999 .
[14] J. Wellner,et al. Estimation of a convex function: characterizations and asymptotic theory. , 2001 .
[15] Geurt Jongbloed,et al. A canonical process for estimation of convex functions: the "invelope" of integrated Brownian motion + t4. , 2001 .
[16] Cun-Hui Zhang. Risk bounds in isotonic regression , 2002 .
[17] Jens Gregor,et al. Three‐dimensional support function estimation and application for projection magnetic resonance imaging , 2002, Int. J. Imaging Syst. Technol..
[18] P. Milanfar,et al. Convergence of algorithms for reconstructing convex bodies and directional measures , 2006, math/0608011.
[19] Eric Cator,et al. Adaptivity and optimality of the monotone least-squares estimator , 2008 .
[20] Richard J. Gardner,et al. A New Algorithm for 3D Reconstruction from Support Functions , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[21] Adityanand Guntuboyina. Optimal rates of convergence for convex set estimation from support functions , 2011, 1108.5341.
[22] H. Jankowski. Convergence of linear functionals of the Grenander estimator under misspecification , 2012, 1207.6614.
[23] Adityanand Guntuboyina,et al. Global risk bounds and adaptation in univariate convex regression , 2013, 1305.1648.
[24] T. Cai,et al. Adaptive confidence intervals for regression functions under shape constraints , 2013, 1305.5673.
[25] Victor-Emmanuel Brunel. Non parametric estimation of convex bodies and convex polytopes , 2014 .
[26] Geurt Jongbloed,et al. Nonparametric Estimation under Shape Constraints: Estimators, Algorithms and Asymptotics , 2014 .
[27] Elena Deza,et al. Encyclopedia of Distances , 2014 .
[28] Adityanand Guntuboyina,et al. On risk bounds in isotonic and other shape restricted regression problems , 2013, 1311.3765.
[29] T. Cai,et al. A Framework For Estimation of Convex Functions , 2015 .
[30] Y. Baraud,et al. Rates of convergence of rho-estimators for sets of densities satisfying shape constraints , 2015, 1503.04427.
[31] Carl M. O’Brien,et al. Nonparametric Estimation under Shape Constraints: Estimators, Algorithms and Asymptotics , 2016 .