E. Aamari and C. Levrard, Stability and Minimax Optimality of Tangential Delaunay Complexes for Manifold Reconstruction, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01245479

C. Aaron, A. Cholaquidis, and A. Cuevas, Stochastic detection of some topological and geometric feature, 2016.

C. Aaron and O. Bodart, Local convex hull support and boundary estimation, Journal of Multivariate Analysis, vol.147, pp.82-101, 2016.
DOI : 10.1016/j.jmva.2016.01.003

URL : https://hal.archives-ouvertes.fr/hal-00786393

M. Berger, J. R. Berlin-heidelberg-berrendero, A. Cholaquidis, A. Cuevas, and R. Fraiman, A panoramic view of Riemannian geometry A geometrically motivated parametric model in manifold estimation, Statistics, vol.48, issue.5, 2003.

P. Bertail, E. Gautherat, and E. Harari-kermaded, Exponential bounds for multivariate self-normalized sums, Electronic Communications in Probability, vol.13, issue.0, pp.628-640, 2008.
DOI : 10.1214/ECP.v13-1430

URL : https://hal.archives-ouvertes.fr/hal-00333999

P. Bickel and E. Levina, Maximum likelihood estimation of intrinsic dimension Advances in NIPS, p.17, 2005.

F. Camastra and A. Staiano, Intrinsic dimension estimation: Advances and open problems, Information Sciences, vol.328, issue.C, pp.26-41, 2016.
DOI : 10.1016/j.ins.2015.08.029

G. Carlsson, Topology and data. Bulletin of the, pp.255-308, 2009.

J. Chevalier, Estimation du support et du contour de support d'une loi de probabilité, Ann. Inst. H. Poincaré B, pp.339-364, 1976.

A. Cuevas and A. Rodriguez-casal, On boundary estimation, Advances in Applied Probability, vol.21, issue.02, pp.340-354, 2004.
DOI : 10.1002/(SICI)1099-1476(19990310)22:4<301::AID-MMA42>3.0.CO;2-M

A. Cuevas and R. Fraiman, Set Estimation, New Perspectives on Stochastic Geometry, pp.366-389, 2009.
DOI : 10.1093/acprof:oso/9780199232574.003.0011

A. Cuevas, R. Fraiman, and A. Rodríguez-casal, A nonparametric approach to the estimation of lengths and surface areas, The Annals of Statistics, vol.35, issue.3, pp.1031-1051, 2007.
DOI : 10.1214/009053606000001532

L. Devroye and G. Wise, Detection of abnormal behaviour via nonparametric estimation of the support, SIAM J. Appl. Math, vol.3, pp.480-488, 1980.

C. Fefferman, S. Mitter, and H. Narayanan, Testing the manifold hypothesis, Journal of the American Mathematical Society, vol.29, issue.4, pp.983-1049
DOI : 10.1090/jams/852

URL : http://arxiv.org/abs/1310.0425

P. Niyogi, S. Smale, and S. Weinberger, Finding the Homology of Submanifolds with High Confidence from??Random??Samples, Discrete & Computational Geometry, vol.33, issue.11, pp.39-419, 2008.
DOI : 10.1007/b97315

P. Niyogi, S. Smale, and S. Weinberger, A Topological View of Unsupervised Learning from Noisy Data, SIAM Journal on Computing, vol.40, issue.3, pp.646-663, 2011.
DOI : 10.1137/090762932