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是一个由流形组合三角剖分（combinatorial triangulations of manifolds）构成的数据集，可用于拓扑深度学习（topological deep learning）领域的新型算法研发，或用于现有算法的调试工作。如需了解更多潜在实验的细节，请参阅我们发表于ICLR 2025的论文。 请使用以下引用格式标注我们的研究成果： @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}, }