TopoBench: A Framework for Benchmarking Topological Deep Learning

arXiv (Cornell University)

Abstract

This work introduces TopoBench, an open-source library designed to standardize benchmarking and accelerate research in topological deep learning (TDL). TopoBench decomposes TDL into a sequence of independent modules for data generation, loading, transforming and processing, as well as model training, optimization and evaluation. This modular organization provides flexibility for modifications and facilitates the adaptation and optimization of various TDL pipelines. A key feature of TopoBench is its support for transformations and lifting across topological domains. Mapping the topology and features of a graph to higher-order topological domains, such as simplicial and cell complexes, enables richer data representations and more fine-grained analyses. The applicability of TopoBench is demonstrated by benchmarking several TDL architectures across diverse tasks and datasets.

Authors 10

1. Lev Telyatnikov

   University of California, Santa Barbara · Sapienza University of Rome

   Affiliation as printed

   Sapienza University of Rome , 2 UC Santa Barbara ,

2. Guillermo Bernárdez
   Affiliation as printed

   - sity , 21

3. Mustafa Hajij

   Vrije Universiteit Amsterdam

   Affiliation as printed

   VU Amsterdam ,

4. Pavlo Vasylenko

   Instituto Superior Técnico

   Affiliation as printed

   Instituto Superior Técnico ,

5. Ghada Zamzmi

   University of South Florida

   Affiliation as printed

   University of South Florida ,

6. Michael T. Schaub Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University ,

7. Bertran Miquel-Oliver

   Barcelona Supercomputing Center · Universitat Politècnica de Catalunya

   Affiliation as printed

   Barcelona Supercomputing Center ,

   Universitat Politècnica de Catalunya , 12 Nostrum Biodiscovery ,

8. Nina Miolane
   Affiliation as printed

   - sity , 21

9. Simone Scardapane

   University of California, Santa Barbara · Sapienza University of Rome

   Affiliation as printed

   Sapienza University of Rome , 2 UC Santa Barbara ,

10. Theodore Papamarkou