MANTRA: The Manifold Triangulations Assemblage

MANTRA is a dataset consisting of combinatorial triangulations of manifolds. It can be used to create novel algorithms in topological deep learning or debug existing ones. See our ICLR 2025 paper for more details on potential experiments. Please use the following citation for our work: @inproceedings{Ballester25a, title = {{MANTRA}: {T}he {M}anifold {T}riangulations {A}ssemblage}, author = {Rubén Ballester and Ernst Röell and Daniel Bīn Schmid and Mathieu Alain and Sergio Escalera and Carles Casacuberta and Bastian Rieck}, year = 2025, eprint = {2410.02392}, archiveprefix = {arXiv}, primaryclass = {cs.LG}, booktitle = {International Conference on Learning Representations}, url = {https://openreview.net/forum?id=X6y5CC44HM}, }MANTRA数据集由流形的组合三角剖分（combinatorial triangulations of manifolds）构成，可用于拓扑深度学习（topological deep learning）领域的新型算法研发，亦可为现有算法的调试提供支撑。如需了解更多潜在实验的相关细节，请参阅我们发表于2025年国际学习表征会议（International Conference on Learning Representations，ICLR）的研究论文。 请使用以下引用格式标注本研究： @inproceedings{Ballester25a, title = {{MANTRA}: {T}he {M}anifold {T}riangulations {A}ssemblage}, author = {Rubén Ballester and Ernst Röell and Daniel Bīn Schmid and Mathieu Alain and Sergio Escalera and Carles Casacuberta and Bastian Rieck}, year = 2025, eprint = {2410.02392}, archiveprefix = {arXiv}, primaryclass = {cs.LG}, booktitle = {International Conference on Learning Representations}, url = {https://openreview.net/forum?id=X6y5CC44HM}, }