Permutation Dependent Feature Mixing for Multivariate Time Series Forecasting

Multivariate time series forecasting is critical in finance and meteorology, influencing decision-making. Though effective in capturing long-range dependencies in natural language processing, traditional Transformer models face challenges when applied to time series data, including computational inefficiency and the loss of positional encoding effects. Time-Series Mixer (TSMixer) addresses these issues by efficiently blending the temporal and feature dimensions in multivariate time series data, thereby facilitating sequential dependent feature extraction. However, the current feature mixing in TSMixer applies a common multi-layer perception across all time steps, leading to time-invariant, non-adaptive feature exchange that does not allow for accurate extraction of historical information. Therefore, we propose incorporating adaptive frequency components and event proximity as additional information vectors into the Feature Mixing component of TSMixer to improve its capacity to interpret complex feature interrelations. Our research validates the effectiveness of these enhancements through experiments with various real-world multivariate time series datasets, including weather and traffic data, emphasizing its potential across different scenarios. Codes are available at https://github.com/rikuter67/FAM-EPAM .