ICLR 2021 计算几何和地形学的挑战:设计和结果 (ICLR 2021 Challenge for Computational Geometry & Topology: Design and Results)

Nina Miolane,Matteo Caorsi,Umberto Lupo,Marius Guerard,Nicolas Guigui,Johan Mathe,Yann Cabanes,Wojciech Reise,Thomas Davies,António Leitão,Somesh Mohapatra,Saiteja Utpala,Shailja Shailja,Gabriele Corso,Guoxi Liu,Federico Iuricich,Andrei Manolache,Mihaela Nistor,Matei Bejan,Armand Mihai Nicolicioiu,Bogdan-Alexandru Luchian,Mihai-Sorin Stupariu,Florent Michel,Khanh Dao Duc,Bilal Abdulrahman,Maxim Beketov,Elodie Maignant,Zhiyuan Liu,Marek Černý,Martin Bauw,Santiago Velasco-Forero,Jesus Angulo,Yanan Long

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.

翻译：本文介绍了在2021年国际气候中心“地球测量和地形代表性学习”讲习班期间发生的关于差异几何和地形学的计算挑战,该竞赛要求与会者通过开放源码储存库地理统计和Giotto-TDA,为计算几何和地形学领域作出创造性贡献。