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03/15/2023
Statistical learning on measures: an application to persistence diagrams
We consider a binary supervised learning classification problem where in...
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07/13/2022
Optimal Reach Estimation and Metric Learning
We study the estimation of the reach, an ubiquitous regularity parameter...
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10/26/2021
Topologically penalized regression on manifolds
We study a regression problem on a compact manifold M. In order to take ...
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08/06/2021
Minimax Boundary Estimation and Estimation with Boundary
We derive non-asymptotic minimax bounds for the Hausdorff estimation of ...
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02/04/2020
Optimal quantization of the mean measure and application to clustering of measures
This paper addresses the case where data come as point sets, or more gen...
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09/30/2019
ATOL: Measure Vectorisation for Automatic Topologically-Oriented Learning
Robust topological information commonly comes in the form of a set of pe...
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12/11/2018
Robust Bregman Clustering
Using a trimming approach, we investigate a k-means type method based on...
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01/31/2018
The k-PDTM : a coreset for robust geometric inference
Analyzing the sub-level sets of the distance to a compact sub-manifold o...
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01/11/2018
Quantization/clustering: when and why does k-means work?
Though mostly used as a clustering algorithm, k-means are originally des...
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01/11/2018
