Supplementary Material for CrossGNN: Confronting Noisy Multivariate Time Series Via Cross Interaction Refinement Anonymous Author(s) Affiliation Address email Appendix 1

Correlation mechanism to capture cross-time dependency for forecasting. Besides, the dimension of the channel is set to 16 based on efficiency considerations. Weather, and the look-back window size is set as 96. Proposition 2. The time and space complexity for the Cross-variable GNN is Frequency enhanced decomposed transformer for long-term series forecasting.