A. Barron, 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

K. Bertin, 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

K. Bertin, Estimation asymptotiquement exacte en norme sup de fonctions multidimensionnelles, p.8028, 2004.
URL : https://hal.archives-ouvertes.fr/tel-00008028

L. Brown and M. Low, 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

D. L. Donoho, Asymptotic minimax risk for sup-norm loss: solution via optimal recovery. Probability Theory and Related Fields 99, pp.145-170, 1994.

G. Golubev, Asymptotically minimax estimation of a regression function in an additive model, Problems of Information Transmission, vol.28, pp.101-112, 1992.

J. Horowitz and E. Mammen, Rate-optimal estimation for a general class of non-parametric regression models with unknown link function, Annals of Statistics, 2007.

M. Hristache, A. Juditsky, and V. Spokoiny, Direct estimation of the index coefficient in a single-index model, Annals of Statistics, vol.29, issue.3, pp.593-623, 2001.

I. A. Ibragimov and R. Z. Hasminskii, Statistical Estimation. Asymptotic Theory, 1981.

I. A. Ibragimov and R. Z. Hasminskii, Bounds for the risks of nonparametric regression estimates, Theory of Probability and its Applications, pp.84-99, 1982.

G. Kerkyacharian, O. V. Lepski, and D. Picard, Nonlinear estimation in anisotropic multiindex denoising I. Probability Theory and Related Fields, pp.137-170, 2001.

G. Kerkyacharian, O. V. Lepski, and D. Picard, Nonlinear estimation in anisotropic multi-index denoising II, Theory of Probability and its Applications, pp.150-171, 2003.

A. N. Kolmogorov, 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.

O. V. Lepski, Asymptotically Minimax Adaptive Estimation. I: Upper Bounds. Optimally Adaptive Estimates, Theory of Probability and its Applications, pp.682-697, 1991.
DOI : 10.1137/1136085

O. V. Lepski, Asymptotically minimax adaptive estimation II: Statistical models without optimal adaptation. Adaptive estimators, Theory of Probability and its Applications, pp.433-468, 1992.

O. V. Lepski, On problems of adaptive estimation in white Gaussian noise In Topics in Nonparametric Estimation, Advances in Soviet Math, vol.12, pp.87-106, 1992.

O. V. Lepski, Lectures at the Seminar, 1998.

O. V. Lepski and C. Pouet, 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

A. Nemirovskii, On nonparametric estimation of smooth regression functions, Sov. J. Comput. Syst. Sci, vol.23, pp.1-11, 1985.

M. Nussbaum, 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.

M. Reiss, Asymptotic equivalence for nonparametric regression with multivariate and random design, p.607342, 2006.

D. A. Sprecher, 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

C. J. Stone, 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

C. J. Stone, Additive Regression and Other Nonparametric Models, The Annals of Statistics, vol.13, issue.2, pp.1285-1297, 1985.
DOI : 10.1214/aos/1176349548

A. B. Tsybakov, IntroductionàIntroduction`Introductionà l'estimation non-paramétrique, 2004.