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Mathieu Carriere

2 accepted papers

2021

Optimizing persistent homology based functions

ICML 2021oral

Solving optimization tasks based on functions and losses with a topological flavor is a very active and growing field of research in data science and Topological Data Analysis, with applications in non-convex optimization, statistics and machine learning. However, the approaches proposed in the lite…

2020

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

AISTATS 2020poster

Persistence diagrams, the most common descriptors of Topological Data Analysis, encode topological properties of data and have already proved pivotal in many different applications of data science. However, since the metric space of persistence diagrams is not Hilbert, they end up being difficult in…