ChronoSheaf: Joint Spatio-Temporal Spectral Filtering on Cellular Sheaves

ChronoSheaf introduces a joint spatio-temporal spectral filtering framework for cellular sheaves, extending sheaf neural networks beyond instantaneous spatial operators. It defines a spectral sheaf Laplacian that simultaneously governs signal propagation across both graph structure and time, and employs a Dual Spectral Filter to broaden receptive fields without enlarging the sheaf. The model incorporates Transitional Restriction Maps to allow asymmetric temporal influence and demonstrates superior performance on various spatio-temporal forecasting benchmarks.

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