, Statistical Inference on Graphs. Statistics & Decisions, vol.24, pp.209-232, 2006.
Theory of Classification: A Survey of Some Recent Advances, ESAIM: Probability and Statistics, vol.9, pp.323-375, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00017923
A framework for statistical clustering with a constant time approximation algorithms for k-median clustering, Proceedings of COLT'04, vol.3120, pp.415-426, 2004. ,
On the Performance of Clustering in Hilbert Space, IEEE Trans. Inform. Theory, vol.54, issue.2, pp.781-790, 2008. ,
Nearest neighbor clustering: A baseline method for consistent clustering with arbitrary objective functions, Journal of Machine Learning Research, vol.10, pp.657-698, 2009. ,
URL : https://hal.archives-ouvertes.fr/inria-00185780
,
Principles and Theory for Data-Mining and MachineLearning, 2009. ,
Ranking and empirical risk minimization of U-statistics, The Annals of Statistics, vol.36, issue.2, pp.844-874, 2008. ,
A Probabilistic Theory of Pattern Recognition, 1996. ,
Decoupling: from Dependence to Independence, 1999. ,
Uniform Central Limit Theorems, 1999. ,
Asymptotic distributions for clustering criteria, The Annals of Statistics, vol.6, pp.117-131, 1978. ,
A class of statistics with asymptotically normal distribution, Ann. Math. Stat, vol.19, pp.293-325, 1948. ,
, The Elements of Statistical Learning, pp.520-528, 2009.
Almost-everywhere algorithmic stability and generalization error, Proceedings of the of the 18th Conference in Uncertainty in Artificial Intelligence, 2002. ,
Local Rademacher complexities and oracle inequalities in risk minimization (with discussion), The Annals of Statistics, vol.34, pp.2593-2706, 2006. ,
Bootstrap confidence intervals for the number of clusters in cluster analysis, J. Am. Stat. Assoc, vol.84, pp.184-191, 1989. ,
Strong consistency of k-means clustering, The Annals of Statistics, vol.9, pp.135-140, 1981. ,
A central limit theorem for k-means clustering, The Annals of Probability, vol.10, pp.919-926, 1982. ,
DOI : 10.1214/aop/1176993713
URL : https://doi.org/10.1214/aop/1176993713
Approximation theorems of mathematical statistics, 1980. ,
Model selection and stability in k-means clustering, Proceedings of the 21rst Annual Conference on Learning Theory, 2008. ,
DOI : 10.1007/s10994-010-5177-8
URL : https://link.springer.com/content/pdf/10.1007%2Fs10994-010-5177-8.pdf
On the reliability of clustering stability in the large sample regime, Advances in Neural Information Processing Systems, vol.21, 2009. ,
Estimating the number of clusters in a data set via the gap statistic, J. Royal Stat. Soc, vol.63, issue.2, pp.411-423, 2001. ,
, Asymptotic Statistics, 1998.
Clustering stability: An overview. Foundations and Trends in Machine Learning, vol.2, pp.235-274, 2009. ,
Towards a statistical theory of clustering, Pascal workshop on Statistics and Optimization of Clustering, 2005. ,
A sober look at clustering stability, Proceedings of the 19th Conference on Learning Theory, 2006. ,
Relating clustering stability to properties of cluster boundaries, Proceedings of the 21th Conference on Learning Theory, 2008. ,
A framework for feature selection in clustering, J. Amer. Stat. Assoc, vol.105, issue.490, pp.713-726, 2010. ,