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20132022
most citedPore-geometry recognition: on the importance of quantifying similarity in nanoporous materials

194 citations

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6 papers · 1 filter

stat.ML2021★ 2 cited

Topological Uncertainty: Monitoring trained neural networks through persistence of activation graphs

Théo Lacombe, Yuichi Ike, Mathieu Carriere +3

Although neural networks are capable of reaching astonishing performances on a wide variety of contexts, properly training networks on complicated tasks requires expertise and can…

stat.ML2020★ 8 cited

Generalized Penalty for Circular Coordinate Representation

Hengrui Luo, Alice Patania, Jisu Kim +1

Topological Data Analysis (TDA) provides novel approaches that allow us to analyze the geometrical shapes and topological structures of a dataset. As one important application, TDA…

stat.ML2019★ 1 cited

Spectral Properties of Radial Kernels and Clustering in High Dimensions

David Cohen-Steiner, Alba Chiara de Vitis

In this paper, we study the spectrum and the eigenvectors of radial kernels for mixtures of distributions in . Our approach focuses on high dimensions and relies sole…

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…

stat.ML2018★ 31 cited

Large Scale computation of Means and Clusters for Persistence Diagrams using Optimal Transport

Théo Lacombe, Marco Cuturi, Steve Oudot

Persistence diagrams (PDs) are now routinely used to summarize the underlying topology of complex data. Despite several appealing properties, incorporating PDs in learning pipeline…

stat.ML2017★ 145 cited

Domain Generalization by Marginal Transfer Learning

Gilles Blanchard, Aniket Anand Deshmukh, Urun Dogan +2

In the problem of domain generalization (DG), there are labeled training data sets from several related prediction problems, and the goal is to make accurate predictions on future…