ICLR 2021 Challenge for Computational Geometry & Topology: Design and Results

Nina Miolane (1) , Matteo Caorsi , Umberto Lupo (2) , Marius Guerard , Nicolas Guigui (3, 4) , Johan Mathe , Yann Cabanes (5) , Wojciech Reise (6) , Thomas Davies (7) , António Leitão , Somesh Mohapatra (8) , Saiteja Utpala , Shailja Shailja (9) , Gabriele Corso (10) , Guoxi Liu (11) , Federico Iuricich (11) , Andrei Manolache (12, 13) , Mihaela Nistor (12) , Matei Bejan (12) , Armand Mihai Nicolicioiu (12) , Bogdan-Alexandru Luchian (12) , Mihai-Sorin Stupariu (12) , Florent Michel (14) , Khanh Dao Duc (14) , Bilal Abdulrahman (15) , Maxim Beketov (16) , Elodie Maignant (3, 4, 17) , Zhiyuan Liu (18) , Marek Černý (16) , Martin Bauw (19) , Santiago Velasco-Forero (19) , Jesus Angulo (19) , Yanan Long (20)

1 Stanford University
2 EPFL - Ecole Polytechnique Fédérale de Lausanne
3 UniCA - Université Côte d'Azur
4 EPIONE - E-Patient : Images, données & mOdèles pour la médeciNe numériquE
5 IMB - Institut de Mathématiques de Bordeaux
6 DATASHAPE - Understanding the Shape of Data
7 University of Southampton
8 MIT - Massachusetts Institute of Technology
9 UC Santa Barbara - University of California [Santa Barbara]
10 CAM - University of Cambridge [UK]
11 Clemson University
12 UniBuc - University of Bucharest
13 Bitdefender [Bucharest]
14 UBC - University of British Columbia
15 The Graduate Center - CUNY Graduate Center
16 HSE - Vysšaja škola èkonomiki = National Research University Higher School of Economics [Moscow]
17 CB - CB - Centre Borelli - UMR 9010
18 UNC - University of North Carolina System
19 Mines Paris - PSL (École nationale supérieure des mines de Paris)
20 University of Chicago

This paper presents the computational challenge on differential geometry and topology that happened within the ICLR 2021 workshop "Geometric and Topological Representation Learning". The competition asked participants to provide creative contributions to the fields of computational geometry and topology through the open-source repositories Geomstats and Giotto-TDA. The challenge attracted 16 teams in its two month duration. This paper describes the design of the challenge and summarizes its main findings.

Domaines: Géométrie algorithmique [cs.CG]; Géométrie différentielle [math.DG]; Topologie générale [math.GN]

Nina Miolane, Matteo Caorsi, Umberto Lupo, Marius Guerard, Nicolas Guigui, et al.. ICLR 2021 Challenge for Computational Geometry & Topology: Design and Results. 2021. ⟨hal-03505132⟩