Self-supervised topological deep learning (TDL) is an emerging field with potential for modeling higher-order interactions in cellular complexes to derive representations of unlabeled graphs.
Cellular complexes have more expressive power compared to simplicial complexes, but self-supervised learning in this domain faces challenges like extrinsic structural constraints and intrinsic semantic redundancy.
CellCLAT (Cellular Complex Contrastive Learning with Adaptive Trimming) is introduced to address these challenges by preserving cellular topology and reducing informational redundancy through parameter perturbation-based augmentation and cellular trimming scheduler.
CellCLAT shows significant improvements over existing self-supervised graph learning methods according to theoretical justifications and empirical validations.