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arxiv: 2402.02441 · v5 · pith:IUH6ZMBSnew · submitted 2024-02-04 · 💻 cs.LG · cs.AI· cs.MS· stat.CO

TopoX: A Suite of Python Packages for Machine Learning on Topological Domains

Mustafa Hajij , Mathilde Papillon , Florian Frantzen , Jens Agerberg , Ibrahem AlJabea , Rub\'en Ballester , Claudio Battiloro , Guillermo Bern\'ardez
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Tolga Birdal Aiden Brent Peter Chin Sergio Escalera Simone Fiorellino Odin Hoff Gardaa Gurusankar Gopalakrishnan Devendra Govil Josef Hoppe Maneel Reddy Karri Jude Khouja Manuel Lecha Neal Livesay Jan Mei{\ss}ner Soham Mukherjee Alexander Nikitin Theodore Papamarkou Jaro Pr\'ilepok Karthikeyan Natesan Ramamurthy Paul Rosen Aldo Guzm\'an-S\'aenz Alessandro Salatiello Shreyas N. Samaga Simone Scardapane Michael T. Schaub Luca Scofano Indro Spinelli Lev Telyatnikov Quang Truong Robin Walters Maosheng Yang Olga Zaghen Ghada Zamzmi Ali Zia Nina Miolane
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classification 💻 cs.LG cs.AIcs.MSstat.CO
keywords domainstopologicaltopoxcomputinggithubhigher-orderhttpslearning
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We introduce TopoX, a Python software suite that provides reliable and user-friendly building blocks for computing and machine learning on topological domains that extend graphs: hypergraphs, simplicial, cellular, path and combinatorial complexes. TopoX consists of three packages: TopoNetX facilitates constructing and computing on these domains, including working with nodes, edges and higher-order cells; TopoEmbedX provides methods to embed topological domains into vector spaces, akin to popular graph-based embedding algorithms such as node2vec; TopoModelX is built on top of PyTorch and offers a comprehensive toolbox of higher-order message passing functions for neural networks on topological domains. The extensively documented and unit-tested source code of TopoX is available under MIT license at https://pyt-team.github.io/}{https://pyt-team.github.io/.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. TopoU-Net: a U-Net architecture for topological domains

    cs.LG 2026-05 unverdicted novelty 7.0

    TopoU-Net is a rank-path U-Net for combinatorial complexes that encodes by lifting cochains upward along incidences, decodes by transporting downward, and merges via skip connections at matched ranks.