Universal approximation bounds for superpositions of a sigmoidal function, IEEE Transactions on Information Theory, vol.39, issue.3, pp.930-945, 1993. ,
DOI : 10.1109/18.256500
Asymptotically exact minimax estimation in sup-norm for anisotropic H??lder classes, Bernoulli, vol.10, issue.5, pp.873-888, 2004. ,
DOI : 10.3150/bj/1099579160
Estimation asymptotiquement exacte en norme sup de fonctions multidimensionnelles, p.8028, 2004. ,
URL : https://hal.archives-ouvertes.fr/tel-00008028
Asymptotic equivalence of nonparametric regression and white noise, The Annals of Statistics, vol.24, issue.6, pp.2384-2398, 1996. ,
DOI : 10.1214/aos/1032181159
Asymptotic minimax risk for sup-norm loss: solution via optimal recovery. Probability Theory and Related Fields 99, pp.145-170, 1994. ,
Asymptotically minimax estimation of a regression function in an additive model, Problems of Information Transmission, vol.28, pp.101-112, 1992. ,
Rate-optimal estimation for a general class of non-parametric regression models with unknown link function, Annals of Statistics, 2007. ,
Direct estimation of the index coefficient in a single-index model, Annals of Statistics, vol.29, issue.3, pp.593-623, 2001. ,
Statistical Estimation. Asymptotic Theory, 1981. ,
Bounds for the risks of nonparametric regression estimates, Theory of Probability and its Applications, pp.84-99, 1982. ,
Nonlinear estimation in anisotropic multiindex denoising I. Probability Theory and Related Fields, pp.137-170, 2001. ,
Nonlinear estimation in anisotropic multi-index denoising II, Theory of Probability and its Applications, pp.150-171, 2003. ,
On representation of continuous functions of several variables as superposition of continuous functions of one variable and addition, Dokl. Akad. Nauk SSSR, vol.114, pp.369-373, 1957. ,
Asymptotically Minimax Adaptive Estimation. I: Upper Bounds. Optimally Adaptive Estimates, Theory of Probability and its Applications, pp.682-697, 1991. ,
DOI : 10.1137/1136085
Asymptotically minimax adaptive estimation II: Statistical models without optimal adaptation. Adaptive estimators, Theory of Probability and its Applications, pp.433-468, 1992. ,
On problems of adaptive estimation in white Gaussian noise In Topics in Nonparametric Estimation, Advances in Soviet Math, vol.12, pp.87-106, 1992. ,
Lectures at the Seminar, 1998. ,
Hypothesis Testing under Composite Functions Alternative, 2007. ,
DOI : 10.1007/978-0-387-75111-5_7
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.504.8130
On nonparametric estimation of smooth regression functions, Sov. J. Comput. Syst. Sci, vol.23, pp.1-11, 1985. ,
On nonparametric estimation of a regression function being smooth on a domain in R k . Theory of Probability and its Applications 31, pp.118-125, 1986. ,
Asymptotic equivalence for nonparametric regression with multivariate and random design, p.607342, 2006. ,
An improvement in the superposition theorem of Kolmogorov, Journal of Mathematical Analysis and Applications, vol.38, issue.1, pp.208-213, 1972. ,
DOI : 10.1016/0022-247X(72)90129-1
Optimal Global Rates of Convergence for Nonparametric Regression, The Annals of Statistics, vol.10, issue.4, pp.1040-1053, 1982. ,
DOI : 10.1214/aos/1176345969
Additive Regression and Other Nonparametric Models, The Annals of Statistics, vol.13, issue.2, pp.1285-1297, 1985. ,
DOI : 10.1214/aos/1176349548
IntroductionàIntroduction`Introductionà l'estimation non-paramétrique, 2004. ,