activity
20162026
most citedPersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures

72 citations · 105 across the 7 of their papers we have counts for

collaborators

7 papers

cs.IR2026

TRIAGE: Trustworthy Retrieval Instrumentation And Graph Evaluation

Axel TahmasebiMoradi, Lucas Schott, Martin Royer

Knowledge graphs (KGs) that underpin Graph-based Retrieval-Augmented Generation (Graph-RAG) are increasingly built automatically by LLM-driven extraction rather than curated by exp…

math.ST2024

Topological Analysis for Detecting Anomalies (TADA) in Time Series

Frédéric Chazal, Martin Royer, Clément Levrard

This paper introduces new methodology based on the field of Topological Data Analysis for detecting anomalies in multivariate time series, that aims to detect global changes in the…

math.ST2020★ 6 cited

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…

cs.CG2019★ 3 cited

ATOL: Measure Vectorization for Automatic Topologically-Oriented Learning

Martin Royer, Frédéric Chazal, Clément Levrard +2

Robust topological information commonly comes in the form of a set of persistence diagrams, finite measures that are in nature uneasy to affix to generic machine learning framework…

stat.ML2019★ 72 cited

PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures

Mathieu Carrière, Frédéric Chazal, Yuichi Ike +3

Persistence diagrams, the most common descriptors of Topological Data Analysis, encode topological properties of data and have already proved pivotal in many different applications…

math.ST2017★ 11 cited

Adaptive Clustering through Semidefinite Programming

Martin Royer

We analyze the clustering problem through a flexible probabilistic model that aims to identify an optimal partition on the sample X 1 , ..., X n. We perform exact clustering with h…

math.ST2016★ 13 cited

PECOK: a convex optimization approach to variable clustering

Florentina Bunea, Christophe Giraud, Martin Royer +1

The problem of variable clustering is that of grouping similar components of a -dimensional vector , and estimating these groups from independent cop…