mlsanityData to 7 Oct 2026

SOFTS: Efficient Multivariate Time Series Forecasting with Series-Core Fusion

arXiv 2404.14197 ↗First posted 22 Apr 2024cs.LGcited by 75

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Abstract (arXiv)

Multivariate time series forecasting plays a crucial role in various fields such as finance, traffic management, energy, and healthcare. Recent studies have highlighted the advantages of channel independence to resist distribution drift but neglect channel correlations, limiting further enhancements. Several methods utilize mechanisms like attention or mixer to address this by capturing channel correlations, but they either introduce excessive complexity or rely too heavily on the correlation to achieve satisfactory results under distribution drifts, particularly with a large number of channels. Addressing this gap, this paper presents an efficient MLP-based model, the Series-cOre Fused Time Series forecaster (SOFTS), which incorporates a novel STar Aggregate-Redistribute (STAR) module. Unlike traditional approaches that manage channel interactions through distributed structures, textite.g., attention, STAR employs a centralized strategy to improve efficiency and reduce reliance on the quality of each channel. It aggregates all series to form a global core representation, which is then dispatched and fused with individual series representations to facilitate channel interactions effectively.SOFTS achieves superior performance over existing state-of-the-art methods with only linear complexity. The broad applicability of the STAR module across different forecasting models is also demonstrated empirically. For further research and development, we have made our code publicly available at https://github.com/Secilia-Cxy/SOFTS.

Key facts. Cited by 75 papers in the map (data through 7 Oct 2026). Builds on 33 of its 56 references that are in the map. First posted on arXiv 22 Apr 2024.

Builds on

33 of 56 references.

References · 33

  1. 2017Attention Is All You Needcited by 59,932
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  4. 2020Informer: Beyond Efficient Transformer for Long Sequence Time-Series Forecastingcited by 2,141
  5. 2022A Time Series is Worth 64 Words: Long-term Forecasting with Transformerscited by 1,981
  6. 2021Autoformer: Decomposition Transformers with Auto-Correlation for Long-Term Series Forecastingcited by 1,654
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  9. 2022Are Transformers Effective for Time Series Forecasting?cited by 1,400
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  12. 2022FEDformer: Frequency Enhanced Decomposed Transformer for Long-term Series Forecastingcited by 1,200
21 more
  1. 2022TimesNet: Temporal 2D-Variation Modeling for General Time Series Analysiscited by 1,030
  2. 2023iTransformer: Inverted Transformers Are Effective for Time Series Forecastingcited by 906
  3. 2017Modeling Long- and Short-Term Temporal Patterns with Deep Neural Networkscited by 869
  4. 2020Connecting the Dots: Multivariate Time Series Forecasting with Graph Neural Networkscited by 563
  5. 2020Time Series Forecasting With Deep Learning: A Surveycited by 457
  6. 2022Non-stationary Transformers: Exploring the Stationarity in Time Series Forecastingcited by 385
  7. 2021SCINet: Time Series Modeling and Forecasting with Sample Convolution and Interactioncited by 335
  8. 2023Long-term Forecasting with TiDE: Time-series Dense Encodercited by 327
  9. 2018Few-Shot Learning via Embedding Adaptation with Set-to-Set Functionscited by 293
  10. 2019Unsupervised Scalable Representation Learning for Multivariate Time Seriescited by 267
  11. 2023Frequency-domain MLPs are More Effective Learners in Time Series Forecastingcited by 170
  12. 2022Less Is More: Fast Multivariate Time Series Forecasting with Light Sampling-oriented MLP Structurescited by 158
  13. 2023TSMixer: Lightweight MLP-Mixer Model for Multivariate Time Series Forecastingcited by 136
  14. 2023The Capacity and Robustness Trade-off: Revisiting the Channel Independent Strategy for Multivariate Time Series Forecastingcited by 100
  15. 2019Star-Transformercited by 94
  16. 2021Time Series Prediction using Deep Learning Methods in Healthcarecited by 71
  17. 2023SegRNN: Segment Recurrent Neural Network for Long-Term Time Series Forecastingcited by 53
  18. 2013Stochastic Pooling for Regularization of Deep Convolutional Neural Networkscited by 48
  19. 2021AutoCTS: Automated Correlated Time Series Forecasting -- Extended Versioncited by 48
  20. 2023ST-MLP: A Cascaded Spatio-Temporal Linear Framework with Channel-Independence Strategy for Traffic Forecastingcited by 21
  21. 2020Revisiting Unsupervised Meta-Learning via the Characteristics of Few-Shot Taskscited by 12

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 7; 2025: 40; 2026: 28.

75 papers.

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  1. 2024CycleNet: Enhancing Time Series Forecasting through Modeling Periodic Patternscited by 102
  2. 2025A Comprehensive Survey of Deep Learning for Multivariate Time Series Forecasting: A Channel Strategy Perspectivecited by 58
  3. 2025Temporal Query Network for Efficient Multivariate Time Series Forecastingcited by 29
  4. 2024Proactive Model Adaptation Against Concept Drift for Online Time Series Forecastingcited by 18
  5. 2025TimePro: Efficient Multivariate Long-term Time Series Forecasting with Variable- and Time-Aware Hyper-statecited by 16
  6. 2024UniTST: Effectively Modeling Inter-Series and Intra-Series Dependencies for Multivariate Time Series Forecastingcited by 13
  7. 2025TimeEmb: A Lightweight Static-Dynamic Disentanglement Framework for Time Series Forecastingcited by 11
  8. 2025CMoS: Rethinking Time Series Prediction Through the Lens of Chunk-wise Spatial Correlationscited by 8
  9. 2025Selective Learning for Deep Time Series Forecastingcited by 8
  10. 2024On the Integration of Spatial-Temporal Knowledge: A Lightweight Approach to Atmospheric Time Series Forecastingcited by 7
  11. 2024How Much Can Time-related Features Enhance Time Series Forecasting?cited by 6
  12. 2025Channel Dependence, Limited Lookback Windows, and the Simplicity of Datasets: How Biased is Time Series Forecasting?cited by 6
38 more
  1. 2025ReFocus: Reinforcing Mid-Frequency and Key-Frequency Modeling for Multivariate Time Series Forecastingcited by 5
  2. 2026Decentralized Attention Fails Centralized Signals: Rethinking Transformers for Medical Time Seriescited by 5
  3. 2026TimeSAF: Towards LLM-Guided Semantic Asynchronous Fusion for Time Series Forecastingcited by 5
  4. 2025Online time series prediction using feature adjustmentcited by 4
  5. 2025TimeExpert: Boosting Long Time Series Forecasting with Temporal Mix of Expertscited by 4
  6. 2025SeqFusion: Sequential Fusion of Pre-Trained Models for Zero-Shot Time-Series Forecastingcited by 3
  7. 2025KANMixer: a minimal KAN-centered mixer for long-term time series forecastingcited by 3
  8. 2025FreDN: Spectral Disentanglement for Time Series Forecasting via Learnable Frequency Decompositioncited by 3
  9. 2026Seg-MoE: Multi-Resolution Segment-wise Mixture-of-Experts for Time Series Forecasting Transformerscited by 3
  10. 2024Channel-aware Contrastive Conditional Diffusion for Multivariate Probabilistic Time Series Forecastingcited by 2
  11. 2025S2Transformer: Scalable Structured Transformers for Global Station Weather Forecastingcited by 2
  12. 2025TARFVAE: Efficient One-Step Generative Time Series Forecasting via TARFLOW based VAEcited by 2
  13. 2026Enhancing Multivariate Time Series Forecasting with Global Temporal Retrievalcited by 2
  14. 2026Time-TK: A Multi-Offset Temporal Interaction Framework Combining Transformer and Kolmogorov-Arnold Networks for Time Series Forecastingcited by 2
  15. 2026TEFL: Prediction-Residual-Guided Rolling Forecasting for Multi-Horizon Time Seriescited by 2
  16. 2025TSKANMixer: Kolmogorov-Arnold Networks with MLP-Mixer Model for Time Series Forecastingcited by 1
  17. 2025MFRS: A Multi-Frequency Reference Series Approach to Scalable and Accurate Time-Series Forecastingcited by 1
  18. 2025Are Data Embeddings effective in time series forecasting?cited by 1
  19. 2025Non-collective Calibrating Strategy for Time Series Forecastingcited by 1
  20. 2025Towards Robust Real-World Multivariate Time Series Forecasting: A Unified Framework for Dependency, Asynchrony, and Missingnesscited by 1
  21. 2025HGTS-Former: Hierarchical HyperGraph Transformer for Multivariate Time Series Analysiscited by 1
  22. 2025S2M-Former: Spiking Symmetric Mixing Branchformer for Brain Auditory Attention Detectioncited by 1
  23. 2025ARIES: Relation Assessment and Model Recommendation for Deep Time Series Forecastingcited by 1
  24. 2025IndexNet: Timestamp and Variable-Aware Modeling for Time Series Forecastingcited by 1
  25. 2025Abstain Mask Retain Core: Time Series Prediction by Adaptive Masking Loss with Representation Consistencycited by 1
  26. 2025EMAformer: Enhancing Transformer through Embedding Armor for Time Series Forecastingcited by 1
  27. 2025SEED: Spectral Entropy-Guided Evaluation of SpatialTemporal Dependencies for Multivariate Time Series Forecastingcited by 1
  28. 2026LLM4Fluid: Large Language Models as Generalizable Neural Solvers for Fluid Dynamicscited by 1
  29. 2026SEER: Transformer-based Robust Time Series Forecasting via Automated Patch Enhancement and Replacementcited by 1
  30. 2026What If We Let Forecasting Forget? A Sparse Bottleneck for Cross-Variable Dependenciescited by 1
  31. 2026PMDformer: Patch-Mean Decoupling Information Transformer for Long-term Forecastingcited by 1
  32. 2026Multivariate Time Series Forecasting needs Cross Variable Losscited by 1
  33. 2024UMOD: A Novel and Effective Urban Metro Origin-Destination Flow Prediction Methodcited by 0
  34. 2025Bidirectional Linear Recurrent Models for Sequence-Level Multisource Fusioncited by 0
  35. 2025CASA: CNN Autoencoder-based Score Attention for Efficient Multivariate Long-term Time-series Forecastingcited by 0
  36. 2025Feature Fitted Online Conformal Prediction for Deep Time Series Forecasting Modelcited by 0
  37. 2025A Multi-scale Representation Learning Framework for Long-Term Time Series Forecastingcited by 0
  38. 2025SPAT: Sensitivity-based Multihead-attention Pruning on Time Series Forecasting Modelscited by 0

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