Stochastic algorithms for computing means of probability measures, Stochastic Processes and their Applications, pp.1437-1455, 2012. ,
Sphere Detection in Kinect Point Clouds via the 3D Hough Transform, pp.290-297, 2013. ,
DOI : 10.1007/978-3-642-40246-3_36
Further statistical analysis of circle fitting, Electronic Journal of Statistics, vol.8, issue.2, pp.2741-2778, 2014. ,
DOI : 10.1214/14-EJS971
Adaptivity of averaged stochastic gradient descent to local strong convexity for logistic regression, The Journal of Machine Learning Research, vol.15, issue.1, pp.595-627, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00804431
Robust functional principal components : A projection-pursuit approach. The Annals of Statistics, pp.2852-2882, 2011. ,
The fast convergence of incremental pca, Advances in Neural Information Processing Systems, pp.3174-3182, 2013. ,
Simulation et algorithmes stochastiques, Cépaduès éditions, p.5, 2001. ,
Estimating Optimal Transformations for Multiple Regression and Correlation, Journal of the American Statistical Association, vol.41, issue.391, pp.580-598, 1985. ,
DOI : 10.1007/BF02296972
A robbins?monro procedure for estimation in semiparametric regression models. The Annals of Statistics, pp.666-693, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00551832
Distributed estimation and inference with statistical guarantees, 2015. ,
Convergence of probability measures, 2013. ,
DOI : 10.1002/9780470316962
Non-strongly-convex smooth stochastic approximation with convergence rate O (1/n), Advances in Neural Information Processing Systems, pp.773-781, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00831977
Adaptive Algorithms and Stochastic Approximations, Applications of Mathematics, vol.22, 1990. ,
DOI : 10.1007/978-3-642-75894-2
Linear processes in function spaces, Lecture Notes in Statistics Theory and applications, vol.149, 2000. ,
DOI : 10.1007/978-1-4612-1154-9
Large-scale machine learning with stochastic gradient descent, Proceedings of COMPSTAT'2010, pp.177-186, 2010. ,
On the Solution of the GPS Localization and Circle Fitting Problems, SIAM Journal on Optimization, vol.22, issue.1, pp.108-134, 2012. ,
DOI : 10.1137/100809908
A New Spherical Mixture Model for Head Detection in Depth Images, SIAM Journal on Imaging Sciences, vol.7, issue.4, pp.2423-2447, 2014. ,
DOI : 10.1137/140951424
Weiszfeld???s Method: Old and New Results, Journal of Optimization Theory and Applications, vol.30, issue.2, pp.1-40, 2015. ,
DOI : 10.1090/S0025-5718-1968-0232137-4
Contributions in infinite-dimensional statistics and related topics, 2014. ,
Convex optimization, 2004. ,
Online asynchronous distributed regression, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01024673
-median of banach valued random variable, Statistics, vol.73, issue.4, pp.509-521, 2001. ,
DOI : 10.1007/BF00535005
The spatial distribution in infinite dimensional spaces and related quantiles and depths. The Annals of Statistics, [CCC10] Hervé Cardot, Peggy Cénac, and Mohamed Chaouch. Stochastic approximation to the multivariate and the functional median, pp.421-428, 2010. ,
Online estimation of the geometric median in Hilbert spaces: Nonasymptotic confidence balls, The Annals of Statistics, vol.45, issue.2, 2015. ,
DOI : 10.1214/16-AOS1460SUPP
URL : https://hal.archives-ouvertes.fr/hal-01555593
A fast and recursive algorithm for clustering large datasets with -medians, Computational Statistics & Data Analysis, vol.56, issue.6, pp.1434-1449, 2012. ,
DOI : 10.1016/j.csda.2011.11.019
URL : https://hal.archives-ouvertes.fr/hal-00644683
Recursive estimation of the conditional geometric median in Hilbert spaces, Electronic Journal of Statistics, vol.6, issue.0, pp.2535-2562, 2012. ,
DOI : 10.1214/12-EJS759
URL : https://hal.archives-ouvertes.fr/hal-00687762
Efficient and fast estimation of the geometric median in Hilbert spaces with an averaged stochastic gradient algorithm, Bernoulli, vol.19, issue.1, pp.18-43, 2013. ,
DOI : 10.3150/11-BEJ390
URL : https://hal.archives-ouvertes.fr/hal-00558481
Online principal components analysis : which algorithm to choose ?, 2015. ,
Outlier detection with the kernelized spatial depth function. Pattern Analysis and Machine Intelligence, IEEE Transactions on, issue.2, pp.31288-305, 2009. ,
Algorithms for projection-pursuit robust principal component analysis, pp.218-225, 2007. ,
Fast estimation of the median covariation matrix with application to online robust principal components analysis, TEST, vol.25, issue.4, 2015. ,
DOI : 10.1109/TPAMI.2003.1217609
URL : https://hal.archives-ouvertes.fr/hal-01482743
The delta method for analytic functions of random operators with application to functional data, Bernoulli, vol.13, issue.4, pp.1179-1194, 2007. ,
DOI : 10.3150/07-BEJ6180
Multivariate Location Estimation Using Extension of $R$-Estimates Through $U$-Statistics Type Approach, The Annals of Statistics, vol.20, issue.2, pp.897-916, 1992. ,
DOI : 10.1214/aos/1176348662
On a Geometric Notion of Quantiles for Multivariate Data, Journal of the American Statistical Association, vol.24, issue.434, pp.862-872, 1996. ,
DOI : 10.1214/aos/1176350365
High breakdown estimators for principal components: the projection-pursuit approach revisited, Journal of Multivariate Analysis, vol.95, issue.1, pp.206-226, 2005. ,
DOI : 10.1016/j.jmva.2004.08.002
Qualitative robustness in abstract inference, Journal of Statistical Planning and Inference, vol.18, issue.3, pp.277-289, 1988. ,
DOI : 10.1016/0378-3758(88)90105-X
A partial overview of the theory of statistics with functional data, Journal of Statistical Planning and Inference, vol.147, pp.1-23, 2014. ,
DOI : 10.1016/j.jspi.2013.04.002
Robust Estimation of Dispersion Matrices and Principal Components, Journal of the American Statistical Association, vol.55, issue.374, pp.354-362, 1981. ,
DOI : 10.1080/14786440109462720
Stochastic optimization with averaging of trajectories, Stochastics and Stochastic Reports, vol.2, issue.2, pp.107-118, 1992. ,
DOI : 10.21236/ADA158740
Accelerated Stochastic Approximation, SIAM Journal on Optimization, vol.3, issue.4, pp.868-881, 1993. ,
DOI : 10.1137/0803045
Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference, Journal of Multivariate Analysis, vol.12, issue.1, pp.136-154, 1982. ,
DOI : 10.1016/0047-259X(82)90088-4
Weighted Means in Stochastic Approximation of Minima, SIAM Journal on Control and Optimization, vol.35, issue.5, pp.1811-1827, 1997. ,
DOI : 10.1137/S0363012995283789
Algorithmes stochastiques, 1996. ,
Random iterative models, Applications of Mathematics, vol.34, 1997. ,
DOI : 10.1007/978-3-662-12880-0
Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography, Communications of the ACM, vol.24, issue.6, pp.381-395, 1981. ,
DOI : 10.1145/358669.358692
A comparison of algorithms for the multivariate L 1-median, Computational Statistics, vol.43, issue.4, pp.393-410, 2012. ,
DOI : 10.1073/pnas.97.4.1423
Nonparametric functional data analysis : theory and practice, 2006. ,
The geometric median on Riemannian manifolds with application to robust atlas estimation, NeuroImage, vol.45, issue.1, pp.143-152, 2009. ,
DOI : 10.1016/j.neuroimage.2008.10.052
Estimating the geometric median in Hilbert spaces with stochastic gradient algorithms : Lp and almost sure rates of convergence, Journal of Multivariate Analysis, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01413440
An averaged projected robbinsmonro algorithm for estimating the parameters of a truncated spherical distribution, 2016. ,
Empirical Processes in M-estimation, 2000. ,
Robust functional estimation using the median and spherical principal components, Biometrika, vol.95, issue.3, pp.587-600, 2008. ,
DOI : 10.1093/biomet/asn031
On the estimation of the asymptotic covariance matrix for the averaged Robbins???Monro algorithm, Comptes Rendus de l'Académie des Sciences-Series I-Mathematics, pp.255-260, 2000. ,
DOI : 10.1016/S0764-4442(00)01595-0
Note on the median of a multivariate distribution, Biometrika, vol.35, issue.3-4, pp.414-417, 1948. ,
DOI : 10.1093/biomet/35.3-4.414
A general qualitative definition of robustness. The Annals of Mathematical Statistics, pp.1887-1896, 1971. ,
Semiparametrically efficient rank-based inference for shape. i. optimal rank-based tests for sphericity. The Annals of Statistics, pp.2707-2756, 2006. ,
Robust Statistics, 2009. ,
High-Breakdown Robust Multivariate Methods, Statistical Science, vol.23, issue.1, pp.92-119, 2008. ,
DOI : 10.1214/088342307000000087
Robust forecasting of mortality and fertility rates: A functional data approach, Computational Statistics & Data Analysis, vol.51, issue.10, pp.4942-4956, 2007. ,
DOI : 10.1016/j.csda.2006.07.028
Robust Estimation of a Location Parameter, The Annals of Mathematical Statistics, vol.35, issue.1, pp.73-101, 1964. ,
DOI : 10.1214/aoms/1177703732
Tightness criteria for random measures with application to the principle of conditioning in Hilbert spaces, Probab. Math. Statist, vol.9, issue.1, pp.95-114, 1988. ,
Machine vision based inspection of oil seals, Journal of manufacturing systems, vol.17, issue.3, pp.159-166, 1998. ,
Deterministic and Stochastic Primal-Dual Subgradient Algorithms for Uniformly Convex Minimization, Stochastic Systems, vol.4, issue.1, pp.44-80, 2014. ,
DOI : 10.1287/10-SSY010
URL : https://hal.archives-ouvertes.fr/hal-00974231
Principal Components Analysis, 2002. ,
The median of a finite measure on a Banach space In Statistical data analysis based on the L 1 -norm and related methods, pp.217-230, 1987. ,
Dispersion operators and resistant second-order functional data analysis, Biometrika, vol.99, issue.4, pp.813-832, 2012. ,
DOI : 10.1093/biomet/ass037
Qualitative and infinitesimal robustness of tail-dependent statistical functionals, Journal of Multivariate Analysis, vol.103, issue.1, pp.35-47, 2012. ,
DOI : 10.1016/j.jmva.2011.06.005
A note on Fermat's problem, Mathematical programming, vol.4, issue.1, pp.98-107, 1973. ,
Stochastic approximation and recursive algorithms and applications, 2003. ,
Estimation of a circular arc center and its radius, Computer Vision, Graphics, and Image Processing, vol.38, issue.3, pp.317-326, 1987. ,
DOI : 10.1016/0734-189X(87)90116-2
A simpler approach to obtaining an O (1/t) convergence rate for the projected stochastic subgradient method. arXiv preprint arXiv :1212, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00768187
Robust principal components for functional data, Test, vol.8, pp.1-73, 1999. ,
An adaptive approach for primitive shape extraction from point clouds, Optik - International Journal for Light and Electron Optics, vol.125, issue.9, pp.2000-2008, 2014. ,
DOI : 10.1016/j.ijleo.2013.03.176
Geometric median and robust estimation in Banach spaces, Bernoulli, vol.21, issue.4, 2014. ,
DOI : 10.3150/14-BEJ645
Theory and methods, Robust statistics. Wiley Series in Probability and Statistics, 2006. ,
Asymptotic theory of the spatial median In Nonparametrics and Robustness in Modern Statistical Inference and Time Series Analysis : A Festschrift in honor of Professor Jana Jure? cková, IMS Collection, vol.7, pp.182-193, 2010. ,
Real-time generic ball recognition in robocup domain, Proc. of the 3rd International Workshop on Intelligent Robotics, IROBOT, pp.37-48, 2008. ,
Convergence rate and averaging of nonlinear two-time-scale stochastic approximation algorithms, The Annals of Applied Probability, vol.16, issue.3, pp.1671-1702, 2006. ,
DOI : 10.1214/105051606000000448
URL : https://hal.archives-ouvertes.fr/hal-00690298
Scalable and robust bayesian inference via the median posterior, Proceedings of the 31st International Conference on Machine Learning (ICML-14), pp.1656-1664, 2014. ,
Aspects of multivariate statistical theory, 2009. ,
Robust Stochastic Approximation Approach to Stochastic Programming, SIAM Journal on Optimization, vol.19, issue.4, pp.1574-1609, 2009. ,
DOI : 10.1137/070704277
URL : https://hal.archives-ouvertes.fr/hal-00976649
Interior-point polynomial algorithms in convex programming, SIAM, vol.13, 1994. ,
DOI : 10.1137/1.9781611970791
Asymptotic properties of the generalized median in the case of multivariate normality, Journal of the Royal Statistical Society. Series B (Methodological), pp.372-377, 1985. ,
On the almost sure asymptotic behaviour of stochastic algorithms . Stochastic processes and their applications, pp.217-244, 1998. ,
Asymptotic Almost Sure Efficiency of Averaged Stochastic Algorithms, SIAM Journal on Control and Optimization, vol.39, issue.1, pp.49-72, 2000. ,
DOI : 10.1137/S0363012998308169
Limit theorems of probability theory. sequences of independent random variables, Oxford Studies in Probability, 1995. ,
Optimum bounds for the distributions of martingales in Banach spaces. The Annals of Probability, pp.1679-1706, 1994. ,
Acceleration of Stochastic Approximation by Averaging, SIAM Journal on Control and Optimization, vol.30, issue.4, pp.838-855, 1992. ,
DOI : 10.1137/0330046
R : A Language and Environment for Statistical Computing . R Foundation for Statistical Computing, 2010. ,
Automatic reconstruction of industrial installations using point clouds and images, Nederlandse Commissie voor Geodesie Netherlands Geodetic Commission, 2006. ,
How to apply the method of stochastic approximation in the nonparametric estimation of a regression function 1, Statistics : A Journal of Theoretical and Applied Statistics, vol.8, issue.1, pp.119-126, 1977. ,
A stochastic approximation method. The annals of mathematical statistics, pp.400-407, 1951. ,
Functional Data Analysis, 2005. ,
Classical geometrical approach to circle fitting?review and new developments, Journal of Electronic Imaging, vol.12, issue.1, pp.179-193, 2003. ,
Recent developments in non-asymptotic theory of random matrices . Modern Aspects of Random Matrix Theory, p.83, 2014. ,
Efficient estimations from a slowly convergent robbins-monro process, 1988. ,
Non-asymptotic Theory of Random Matrices: Extreme Singular Values, Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), pp.1576-1602, 2010. ,
DOI : 10.1142/9789814324359_0111
A Fast Algorithm for the Minimum Covariance Determinant Estimator, Technometrics, vol.35, issue.3, pp.212-223, 1999. ,
DOI : 10.1080/01621459.1994.10476821
Depth functions in nonparametric multivariate inference. DI- MACS Series in Discrete Mathematics and Theoretical Computer Science, 2006. ,
A Survey of Multidimensional Medians, International Statistical Review / Revue Internationale de Statistique, vol.58, issue.3, pp.263-277, 1990. ,
DOI : 10.2307/1403809
Functional Data Analysis, Collected Papers Infinite Study, vol.1, 1996. ,
Marker detection and trajectory generation algorithms for a multicamera based gait analysis system, Mechatronics, vol.11, issue.4, pp.409-437, 2001. ,
DOI : 10.1016/S0957-4158(00)00026-X
Efficient ransac for pointcloud shape detection, Computer graphics forum, pp.214-226 ,
Extraction of cylinders and estimation of their parameters from point clouds, Computers & Graphics, vol.46, pp.345-357, 2015. ,
DOI : 10.1016/j.cag.2014.09.027
A Statistical Examination of the Megalithic Sites in Britain, Journal of the Royal Statistical Society. Series A (General), vol.118, issue.3, pp.275-295, 1955. ,
DOI : 10.2307/2342494
Robustifying principal component analysis with spatial sign vectors, Statistics & Probability Letters, vol.82, issue.4, pp.765-774, 2012. ,
DOI : 10.1016/j.spl.2012.01.001
Online Learning as Stochastic Approximation of Regularization Paths: Optimality and Almost-Sure Convergence, IEEE Transactions on Information Theory, vol.60, issue.9, pp.5716-5735, 2014. ,
DOI : 10.1109/TIT.2014.2332531
A Constructive Feature Detection Approach for Robotic Vision, RoboCup 2004 : Robot Soccer World Cup VIII, pp.72-83, 2005. ,
DOI : 10.1007/978-3-540-32256-6_6
The multivariate L1-median and associated data depth, Proc. Natl. Acad. Sci. USA, pp.1423-1426, 2000. ,
DOI : 10.1073/pnas.97.4.1423
An invariance principle for the robbins-monro process in a hilbert space. Probability Theory and Related Fields, pp.135-150, 1977. ,
On the point for which the sum of the distances to n given points is minimum, Annals of Operations Research, vol.43, issue.3, pp.355-386, 1937. ,
DOI : 10.1007/978-3-642-56082-8_1
Sur le point pour lequel la somme des distances de n points donnés est minimum, Tohoku Math. J, vol.43, issue.2, pp.355-386, 1937. ,
Alfred weber's theory of the location of industries, 1929. ,
Normal approximation and large deviations for the Robbins-Monro Process, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.1, issue.4, pp.329-338, 1972. ,
DOI : 10.1007/BF00532261
Candid covariance-free incremental principal component analysis, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.25, issue.8, pp.1034-1040, 2003. ,
DOI : 10.1109/TPAMI.2003.1217609
Abstract, LMS Journal of Computation and Mathematics, vol.43, pp.461-479, 2010. ,
DOI : 10.1007/978-3-662-12494-9
URL : https://hal.archives-ouvertes.fr/hal-01153717
A definition of qualitative robustness for general point estimators, and examples, Journal of Multivariate Analysis, vol.143, pp.12-31, 2016. ,
DOI : 10.1016/j.jmva.2015.08.004
A New Method for Spherical Object Detection and Its Application to Computer Aided Detection of Pulmonary Nodules in CT Images, Medical Image Computing and Computer-Assisted Intervention? MICCAI 2007, pp.842-849, 2007. ,
DOI : 10.1007/978-3-540-75757-3_102