Database-friendly random projections, Proceedings of the Twentieth ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems, 2001. ,
The fast johnson-lindenstrauss transform and approximate nearest neighbors, SIAM J. Comput, vol.39, issue.1, pp.302-322, 2009. ,
Optimal compression of approximate inner products and dimension reduction, 58th IEEE Annual Symposium on Foundations of Computer Science, FOCS 2017, pp.639-650, 2017. ,
A new duality result concerning voronoi diagrams, Discret. Comput. Geom, vol.5, pp.243-254, 1990. ,
Random projections of smooth manifolds, Found. Comput. Math, vol.9, issue.1, pp.51-77, 2009. ,
Concentration Inequalities -A Nonasymptotic Theory of Independence, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00794821
Efficient and robust persistent homology for measures, Comput. Geom, vol.58, pp.70-96, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01074566
Declutter and resample: Towards parameter free denoising, JoCG, vol.9, issue.2, pp.21-46, 2018. ,
Geometric inference for probability measures, Found. Comput. Math, vol.11, issue.6, pp.733-751, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00772444
The Structure and Stability of Persistence Modules, Springer Briefs in Mathematics, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01107617
Towards persistence-based reconstruction in euclidean spaces, Proceedings of the 24th ACM Symposium on Computational Geometry, pp.232-241, 2008. ,
URL : https://hal.archives-ouvertes.fr/inria-00197543
Tighter bounds for random projections of manifolds, Proceedings of the 24th ACM Symposium on Computational Geometry, pp.39-48, 2008. ,
Application of random sampling in computational geometry, II. Discret. Comput. Geom, vol.4, pp.387-421, 1989. ,
An elementary proof of a theorem of johnson and lindenstrauss, Random Struct. Algorithms, vol.22, issue.1, pp.60-65, 2003. ,
Dimensionality reduction with subgaussian matrices: A unified theory, Found. Comput. Math, vol.16, issue.5, pp.1367-1396, 2016. ,
Computational Topology -an Introduction, 2010. ,
Topological persistence and simplification, Discret. Comput. Geom, vol.28, issue.4, pp.511-533, 2002. ,
Testing the manifold hypothesis, Journal of the American Mathematical Society, vol.29, issue.4, pp.983-1049, 2016. ,
A Mathematical Introduction to Compressive Sensing. Applied and Numerical Harmonic Analysis. Birkhäuser, 2013. ,
Introduction to High-Dimensional Statistics, Chapman & Hall/CRC Monographs on Statistics & Applied Probability. Taylor & Francis, 2014. ,
On milman's inequality and random subspaces which escape through a mesh in rn, Geometric Aspects of Functional Analysis, pp.84-106, 1988. ,
Witnessed k-distance, Discret. Comput. Geom, vol.49, issue.1, pp.22-45, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00569029
Localitypreserving hashing in multidimensional spaces ,
, Proceedings of the Twenty-Ninth Annual ACM Symposium on the Theory of Computing, pp.618-625, 1997.
Extensions of Lipschitz mappings into a Hilbert space, Contemporary Mathematics, vol.26, issue.1, pp.189-206, 1984. ,
Persistent homology for low-complexity models, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.475, 2019. ,
On variants of the Johnson Lindenstrauss lemma, Random Structures & Algorithms, vol.33, issue.2, pp.142-156, 2008. ,
Persistence Theory -From Quiver Representations to Data Analysis, volume 209 of Mathematical surveys and monographs, 2015. ,
Geometric inference on kernel density estimates, 31st International Symposium on Computational Geometry, vol.34, pp.857-871, 2015. ,
Improved approximation algorithms for large matrices via random projections, 47th Annual IEEE Symposium on Foundations of Computer Science (FOCS 2006), pp.21-24 ,
, , pp.143-152, 2006.
The persistent homology of distance functions under random projection, 30th Annual Symposium on Computational Geometry, SOCG'14, p.328, 2014. ,
A note on random projections for preserving paths on a manifold, 2011. ,
, High-Dimensional Probability: An Introduction with Applications in Data Science. Cambridge Series in Statistical and Probabilistic Mathematics, 2018.
Advancements of outlier detection: A survey, EAI Endorsed Trans. Scalable Information Systems, vol.1, issue.1, p.2, 2013. ,