194 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Laboratoire de Mathématiques d'OrsayFR12 papers
- Institut national de recherche en sciences et technologies du numériqueFR9 papers
- Centre Inria de SaclayFR7 papers
- Laboratoire de Probabilités, Statistique et ModélisationFR6 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Université Paris-SaclayFR4 papers
- Centre Inria d'Université Côte d'AzurFR3 papers
- École Polytechnique Fédérale de LausanneCH3 papers
- Institut de Mathématiques de ToulouseFR3 papers
- Institut National des Sciences Appliquées de ToulouseFR3 papers
- Université Toulouse III - Paul SabatierFR3 papers
- University of PotsdamDE3 papers
7 papers · 1 filter
Estimation and Quantization of Expected Persistence Diagrams
Vincent Divol, Théo Lacombe
Persistence diagrams (PDs) are the most common descriptors used to encode the topology of structured data appearing in challenging learning tasks; think e.g. of graphs, time series…
Optimal quantization of the mean measure and applications to statistical learning
Frédéric Chazal, Clément Levrard, Martin Royer
This paper addresses the case where data come as point sets, or more generally as discrete measures. Our motivation is twofold: first we intend to approximate with a compactly supp…
Convergence analysis of Tikhonov regularization for non-linear statistical inverse learning problems
Abhishake Rastogi, Gilles Blanchard, Peter Mathé
We study a non-linear statistical inverse learning problem, where we observe the noisy image of a quantity through a non-linear operator at some random design points. We consider t…
Robust Bregman Clustering
Aurélie Fischer, Clément Levrard, Claire Brécheteau
Using a trimming approach, we investigate a k-means type method based on Bregman divergences for clustering data possibly corrupted with clutter noise. The main interest of Bregman…
Uniform Convergence Rate of the Kernel Density Estimator Adaptive to Intrinsic Volume Dimension
Jisu Kim, Jaehyeok Shin, Alessandro Rinaldo +1
We derive concentration inequalities for the supremum norm of the difference between a kernel density estimator (KDE) and its point-wise expectation that hold uniformly over the se…
Post hoc false positive control for spatially structured hypotheses
Guillermo Durand, Gilles Blanchard, Pierre Neuvial +1
In a high dimensional multiple testing framework, we present new confidence bounds on the false positives contained in subsets S of selected null hypotheses. The coverage probabili…
Post hoc inference via joint family-wise error rate control
Gilles Blanchard, Pierre Neuvial, Etienne Roquain
We introduce a general methodology for post hoc inference in a large-scale multiple testing framework. The approach is called "user-agnostic" in the sense that the statistical guar…