Deep Coupling Network For Multivariate Time Series Forecasting
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Abstract (arXiv)
Multivariate time series (MTS) forecasting is crucial in many real-world applications. To achieve accurate MTS forecasting, it is essential to simultaneously consider both intra- and inter-series relationships among time series data. However, previous work has typically modeled intra- and inter-series relationships separately and has disregarded multi-order interactions present within and between time series data, which can seriously degrade forecasting accuracy. In this paper, we reexamine intra- and inter-series relationships from the perspective of mutual information and accordingly construct a comprehensive relationship learning mechanism tailored to simultaneously capture the intricate multi-order intra- and inter-series couplings. Based on the mechanism, we propose a novel deep coupling network for MTS forecasting, named DeepCN, which consists of a coupling mechanism dedicated to explicitly exploring the multi-order intra- and inter-series relationships among time series data concurrently, a coupled variable representation module aimed at encoding diverse variable patterns, and an inference module facilitating predictions through one forward step. Extensive experiments conducted on seven real-world datasets demonstrate that our proposed DeepCN achieves superior performance compared with the state-of-the-art baselines.
Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Builds on 37 of its 70 references that are in the map. First posted on arXiv 23 Feb 2024.
Builds on
37 of 70 references.
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25 more
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Built on by
Citing papers per year: 2024: 2; 2025: 2; 2026: 2.
6 papers.
- 2024FilterNet: Harnessing Frequency Filters for Time Series Forecastingcited by 44
- 2025SEMPO: Lightweight Foundation Models for Time Series Forecastingcited by 6
- 2024Robust Multivariate Time Series Forecasting against Intra- and Inter-Series Transitional Shiftcited by 1
- 2025D-CTNet: A Dual-Branch Channel-Temporal Forecasting Network with Frequency-Domain Correctioncited by 0
- 2026Multi-Term Fourier Graph Neural Network with Sample Relationship Learning for Enhanced Remaining Useful Life Predictioncited by 0
- 2026AdaST: Adaptive Coupling for Spatial-Temporal Forecastingcited by 0
- 2026AdaST: Adaptive Coupling for Spatial-Temporal Forecasting28 Sep 2026
- 2026Multi-Term Fourier Graph Neural Network with Sample Relationship Learning for Enhanced Remaining Useful Life Prediction21 Sep 2026
- 2025D-CTNet: A Dual-Branch Channel-Temporal Forecasting Network with Frequency-Domain Correction30 Nov 2025
- 2025SEMPO: Lightweight Foundation Models for Time Series Forecasting22 Oct 2025
- 2024FilterNet: Harnessing Frequency Filters for Time Series Forecasting3 Nov 2024
- 2024Robust Multivariate Time Series Forecasting against Intra- and Inter-Series Transitional Shift18 Jul 2024