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Papers/Time Evidence Fusion Network: Multi-source View in Long-Te...

Time Evidence Fusion Network: Multi-source View in Long-Term Time Series Forecasting

Tianxiang Zhan, Yuanpeng He, Yong Deng, Zhen Li, Wenjie Du, Qingsong Wen

2024-05-10Time Series ForecastingTime Series
PaperPDFCode(official)Code

Abstract

In practical scenarios, time series forecasting necessitates not only accuracy but also efficiency. Consequently, the exploration of model architectures remains a perennially trending topic in research. To address these challenges, we propose a novel backbone architecture named Time Evidence Fusion Network (TEFN) from the perspective of information fusion. Specifically, we introduce the Basic Probability Assignment (BPA) Module based on evidence theory to capture the uncertainty of multivariate time series data from both channel and time dimensions. Additionally, we develop a novel multi-source information fusion method to effectively integrate the two distinct dimensions from BPA output, leading to improved forecasting accuracy. Lastly, we conduct extensive experiments to demonstrate that TEFN achieves performance comparable to state-of-the-art methods while maintaining significantly lower complexity and reduced training time. Also, our experiments show that TEFN exhibits high robustness, with minimal error fluctuations during hyperparameter selection. Furthermore, due to the fact that BPA is derived from fuzzy theory, TEFN offers a high degree of interpretability. Therefore, the proposed TEFN balances accuracy, efficiency, stability, and interpretability, making it a desirable solution for time series forecasting.

Results

TaskDatasetMetricValueModel
Time Series ForecastingETTh2 (720) MultivariateMAE0.446TEFN
Time Series ForecastingETTh2 (720) MultivariateMSE0.434TEFN
Time Series ForecastingETTh1 (720) MultivariateMAE0.464TEFN
Time Series ForecastingETTh1 (720) MultivariateMSE0.475TEFN
Time Series ForecastingETTm1 (192) MultivariateMAE0.383TEFN
Time Series ForecastingETTm1 (192) MultivariateMSE0.381TEFN
Time Series ForecastingWeather (192)MAE0.262TEFN
Time Series ForecastingWeather (192)MSE0.227TEFN
Time Series ForecastingWeather (336)MAE0.298TEFN
Time Series ForecastingWeather (336)MSE0.279TEFN
Time Series ForecastingETTm2 (96) MultivariateMAE0.264TEFN
Time Series ForecastingETTm2 (96) MultivariateMSE0.181TEFN
Time Series ForecastingElectricity (336)MAE0.292TEFN
Time Series ForecastingElectricity (336)MSE0.212TEFN
Time Series ForecastingWeather (720)MAE0.344TEFN
Time Series ForecastingWeather (720)MSE0.352TEFN
Time Series ForecastingETTh2 (336) MultivariateMAE0.434TEFN
Time Series ForecastingETTh2 (336) MultivariateMSE0.423TEFN
Time Series ForecastingETTh1 (192) MultivariateMAE0.419TEFN
Time Series ForecastingETTh1 (192) MultivariateMSE0.433TEFN
Time Series ForecastingElectricity (192)MAE0.276TEFN
Time Series ForecastingElectricity (192)MSE0.197TEFN
Time Series ForecastingETTh1 (336) MultivariateMAE0.441TEFN
Time Series ForecastingETTh1 (336) MultivariateMSE0.475TEFN
Time Series ForecastingETTm2 (336) MultivariateMAE0.343TEFN
Time Series ForecastingETTm2 (336) MultivariateMSE0.307TEFN
Time Series ForecastingETTm1 (336) MultivariateMAE0.404TEFN
Time Series ForecastingETTm1 (336) MultivariateMSE0.414TEFN
Time Series ForecastingETTm1 (96) MultivariateMAE0.367TEFN
Time Series ForecastingETTm1 (96) MultivariateMSE0.343TEFN
Time Series ForecastingETTm1 (720) MultivariateMAE0.438TEFN
Time Series ForecastingETTm1 (720) MultivariateMSE0.475TEFN
Time Series ForecastingETTh2 (96) MultivariateMAE0.337TEFN
Time Series ForecastingETTh2 (96) MultivariateMSE0.288TEFN
Time Series ForecastingWeather (96)MAE0.227TEFN
Time Series ForecastingWeather (96)MSE0.182TEFN
Time Series ForecastingETTm2 (192) MultivariateMAE0.304TEFN
Time Series ForecastingETTm2 (192) MultivariateMSE0.381TEFN
Time Series ForecastingETTh1 (96) MultivariateMAE0.391TEFN
Time Series ForecastingETTh1 (96) MultivariateMSE0.383TEFN
Time Series ForecastingElectricity (96)MAE0.273TEFN
Time Series ForecastingElectricity (96)MSE0.197TEFN
Time Series ForecastingETTh2 (192) MultivariateMAE0.392TEFN
Time Series ForecastingETTh2 (192) MultivariateMSE0.375TEFN
Time Series ForecastingElectricity (720)MAE0.325TEFN
Time Series ForecastingElectricity (720)MSE0.253TEFN
Time Series ForecastingETTm2 (720) MultivariateMAE0.398TEFN
Time Series ForecastingETTm2 (720) MultivariateMSE0.407TEFN
Time Series AnalysisETTh2 (720) MultivariateMAE0.446TEFN
Time Series AnalysisETTh2 (720) MultivariateMSE0.434TEFN
Time Series AnalysisETTh1 (720) MultivariateMAE0.464TEFN
Time Series AnalysisETTh1 (720) MultivariateMSE0.475TEFN
Time Series AnalysisETTm1 (192) MultivariateMAE0.383TEFN
Time Series AnalysisETTm1 (192) MultivariateMSE0.381TEFN
Time Series AnalysisWeather (192)MAE0.262TEFN
Time Series AnalysisWeather (192)MSE0.227TEFN
Time Series AnalysisWeather (336)MAE0.298TEFN
Time Series AnalysisWeather (336)MSE0.279TEFN
Time Series AnalysisETTm2 (96) MultivariateMAE0.264TEFN
Time Series AnalysisETTm2 (96) MultivariateMSE0.181TEFN
Time Series AnalysisElectricity (336)MAE0.292TEFN
Time Series AnalysisElectricity (336)MSE0.212TEFN
Time Series AnalysisWeather (720)MAE0.344TEFN
Time Series AnalysisWeather (720)MSE0.352TEFN
Time Series AnalysisETTh2 (336) MultivariateMAE0.434TEFN
Time Series AnalysisETTh2 (336) MultivariateMSE0.423TEFN
Time Series AnalysisETTh1 (192) MultivariateMAE0.419TEFN
Time Series AnalysisETTh1 (192) MultivariateMSE0.433TEFN
Time Series AnalysisElectricity (192)MAE0.276TEFN
Time Series AnalysisElectricity (192)MSE0.197TEFN
Time Series AnalysisETTh1 (336) MultivariateMAE0.441TEFN
Time Series AnalysisETTh1 (336) MultivariateMSE0.475TEFN
Time Series AnalysisETTm2 (336) MultivariateMAE0.343TEFN
Time Series AnalysisETTm2 (336) MultivariateMSE0.307TEFN
Time Series AnalysisETTm1 (336) MultivariateMAE0.404TEFN
Time Series AnalysisETTm1 (336) MultivariateMSE0.414TEFN
Time Series AnalysisETTm1 (96) MultivariateMAE0.367TEFN
Time Series AnalysisETTm1 (96) MultivariateMSE0.343TEFN
Time Series AnalysisETTm1 (720) MultivariateMAE0.438TEFN
Time Series AnalysisETTm1 (720) MultivariateMSE0.475TEFN
Time Series AnalysisETTh2 (96) MultivariateMAE0.337TEFN
Time Series AnalysisETTh2 (96) MultivariateMSE0.288TEFN
Time Series AnalysisWeather (96)MAE0.227TEFN
Time Series AnalysisWeather (96)MSE0.182TEFN
Time Series AnalysisETTm2 (192) MultivariateMAE0.304TEFN
Time Series AnalysisETTm2 (192) MultivariateMSE0.381TEFN
Time Series AnalysisETTh1 (96) MultivariateMAE0.391TEFN
Time Series AnalysisETTh1 (96) MultivariateMSE0.383TEFN
Time Series AnalysisElectricity (96)MAE0.273TEFN
Time Series AnalysisElectricity (96)MSE0.197TEFN
Time Series AnalysisETTh2 (192) MultivariateMAE0.392TEFN
Time Series AnalysisETTh2 (192) MultivariateMSE0.375TEFN
Time Series AnalysisElectricity (720)MAE0.325TEFN
Time Series AnalysisElectricity (720)MSE0.253TEFN
Time Series AnalysisETTm2 (720) MultivariateMAE0.398TEFN
Time Series AnalysisETTm2 (720) MultivariateMSE0.407TEFN

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