E. Aamari, J. Kim, F. Chazal, B. Michel, A. Rinaldo et al., Estimating the Reach of a Manifold, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01521955

R. E. Bellman, Adaptive Control Processes -A Guided Tour. Princeton Legacy Library, 1961.

R. Martin, A. Bridson, and . Häfliger, Metric Spaces of Non-Positive Curvature. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, 1999.

K. , Buchin. 2. space-filling curves, Organizing Point Sets:Space-Filling Curves, Delaunay Tessellations of Random Point Sets, and Flow Complexes, pp.5-29

F. Camastra and A. Staiano, Intrinsic dimension estimation: Advances and open problems, Inf. Sci, vol.328, pp.26-41, 2016.

, Manfredo Perdigão do Carmo. Riemannian Geometry. Mathematics

. Birkhäuser, , 1992.

H. Federer, Curvature measures, Transactions of the American Mathematical Society, vol.93, issue.3, pp.418-491, 1959.

T. Hastie, R. Tibshirani, and J. Friedman, 14. unsupervised learning, The Elements of Statistical Learning, pp.485-586, 2009.

M. Hein and J. Audibert, Intrinsic dimensionality estimation of submanifolds in R d, Proceedings of the 22nd International Conference on Machine Learning

P. Niyogi, S. Smale, and S. Weinberger, Finding the homology of submanifolds with high confidence from random samples, Discrete & Computational Geometry, vol.39, issue.1-3, pp.419-441, 2008.

P. R. Petersen and . Geometry, Graduate Texts in Mathematics, 2006.

M. Raginsky and S. Lazebnik, Estimation of intrinsic dimensionality using highrate vector quantization, Advances in Neural Information Processing Systems 18 [Neural Information Processing Systems, NIPS 2005, pp.1105-1112, 2005.

A. Rozza, G. Lombardi, C. Ceruti, E. Casiraghi, and P. Campadelli, Novel high intrinsic dimensionality estimators, Machine learning, vol.89, issue.1-2, pp.37-65, 2012.

R. Kumar-sricharan, A. O. Raich, and I. Hero, Optimized intrinsic dimension estimator using nearest neighbor graphs, Acoustics Speech and Signal Processing (ICASSP), 2010 IEEE International Conference on, pp.5418-5421, 2010.

J. and M. Steele, 2. concentration of measure and the classical theorems, Probability Theory and Combinatorial Optimization, pp.27-51, 1997.
URL : https://hal.archives-ouvertes.fr/hal-02324841

A. B. Tsybakov, Introduction to Nonparametric Estimation. Springer Series in Statistics, 2008.

B. Yu, . Assouad, and C. Festschrift-for-lucien-le, Research Papers in Probability and Statistics, pp.423-435, 1997.