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Time Tracker: Mixture-of-Experts-Enhanced Foundation Time Series Forecasting Model with Decoupled Training Pipelines

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In the past few years, time series foundation models have achieved superior predicting accuracy. However, real-world time series often exhibit significant diversity in their temporal patterns across different time spans and domains, making it challenging for a single model architecture to fit all complex scenarios. In addition, time series data may have multiple variables exhibiting complex correlations between each other. Recent mainstream works have focused on modeling times series in a channel-independent manner in both pretraining and finetuning stages, overlooking the valuable inter-series dependencies. To this end, we propose Time Tracker for better predictions on multivariate time series data. Firstly, we leverage sparse mixture of experts (MoE) within Transformers to handle the modeling of diverse time series patterns, thereby alleviating the learning difficulties of a single model while improving its generalization. Besides, we propose Any-variate Attention, enabling a unified model structure to seamlessly handle both univariate and multivariate time series, thereby supporting channel-independent modeling during pretraining and channel-mixed modeling for finetuning.Furthermore, we design a graph learning module that constructs relations among sequences from frequency-domain features, providing more precise guidance to capture inter-series dependencies in channel-mixed modeling. Based on these advancements, Time Tracker achieves state-of-the-art performance in predicting accuracy, model generalization and adaptability.

Aobo Liang, Yan Sun, Xiaohou Shi, Ke Li• 2025

Related benchmarks

TaskDatasetResultRank
Multivariate long-term forecastingETTh1
MSE0.38
394
Multivariate long-term series forecastingETTh2
MSE0.294
367
Multivariate long-term series forecastingWeather
MSE0.169
359
Multivariate long-term series forecastingETTm1
MSE0.325
305
Multivariate long-term series forecastingETTm2
MSE0.178
223
Multivariate long-term time series forecastingTraffic
MSE0.37
93
Long-range Multivariate Time Series ForecastingElectricity
MSE0.141
23
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