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ICML Topological Deep Learning Challenge 2024: Beyond the Graph Domain

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arxiv 2409.05211 v1 pith:RFSB5V2P submitted 2024-09-08 cs.LG cs.AI

ICML Topological Deep Learning Challenge 2024: Beyond the Graph Domain

Guillermo Bern\'ardez , Lev Telyatnikov , Marco Montagna , Federica Baccini , Mathilde Papillon , Miquel Ferriol-Galm\'es , Mustafa Hajij , Theodore Papamarkou
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Maria Sofia Bucarelli Olga Zaghen Johan Mathe Audun Myers Scott Mahan Hansen Lillemark Sharvaree Vadgama Erik Bekkers Tim Doster Tegan Emerson Henry Kvinge Katrina Agate Nesreen K Ahmed Pengfei Bai Michael Banf Claudio Battiloro Maxim Beketov Paul Bogdan Martin Carrasco Andrea Cavallo Yun Young Choi George Dasoulas Matou\v{s} Elphick Giordan Escalona Dominik Filipiak Halley Fritze Thomas Gebhart Manel Gil-Sorribes Salvish Goomanee Victor Guallar Liliya Imasheva Andrei Irimia Hongwei Jin Graham Johnson Nikos Kanakaris Boshko Koloski Veljko Kova\v{c} Manuel Lecha Minho Lee Pierrick Leroy Theodore Long German Magai Alvaro Martinez Marissa Masden Sebastian Me\v{z}nar Bertran Miquel-Oliver Alexis Molina Alexander Nikitin Marco Nurisso Matt Piekenbrock Yu Qin Patryk Rygiel Alessandro Salatiello Max Schattauer Pavel Snopov Julian Suk Valentina S\'anchez Mauricio Tec Francesco Vaccarino Jonas Verhellen Frederic Wantiez Alexander Weers Patrik Zajec Bla\v{z} \v{S}krlj Nina Miolane
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classification cs.LG cs.AI
keywords topologicalchallengelearningdeepicmldatadifferentdomains
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This paper describes the 2nd edition of the ICML Topological Deep Learning Challenge that was hosted within the ICML 2024 ELLIS Workshop on Geometry-grounded Representation Learning and Generative Modeling (GRaM). The challenge focused on the problem of representing data in different discrete topological domains in order to bridge the gap between Topological Deep Learning (TDL) and other types of structured datasets (e.g. point clouds, graphs). Specifically, participants were asked to design and implement topological liftings, i.e. mappings between different data structures and topological domains --like hypergraphs, or simplicial/cell/combinatorial complexes. The challenge received 52 submissions satisfying all the requirements. This paper introduces the main scope of the challenge, and summarizes the main results and findings.

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