mlsanityData to 7 Oct 2026

CoST: Contrastive Learning of Disentangled Seasonal-Trend Representations for Time Series Forecasting

arXiv 2202.01575 ↗First posted 3 Feb 2022cs.LGcited by 143

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Abstract (arXiv)

Deep learning has been actively studied for time series forecasting, and the mainstream paradigm is based on the end-to-end training of neural network architectures, ranging from classical LSTM/RNNs to more recent TCNs and Transformers. Motivated by the recent success of representation learning in computer vision and natural language processing, we argue that a more promising paradigm for time series forecasting, is to first learn disentangled feature representations, followed by a simple regression fine-tuning step -- we justify such a paradigm from a causal perspective. Following this principle, we propose a new time series representation learning framework for time series forecasting named CoST, which applies contrastive learning methods to learn disentangled seasonal-trend representations. CoST comprises both time domain and frequency domain contrastive losses to learn discriminative trend and seasonal representations, respectively. Extensive experiments on real-world datasets show that CoST consistently outperforms the state-of-the-art methods by a considerable margin, achieving a 21.3% improvement in MSE on multivariate benchmarks. It is also robust to various choices of backbone encoders, as well as downstream regressors. Code is available at https://github.com/salesforce/CoST.

Key facts. Cited by 143 papers in the map (data through 7 Oct 2026). Builds on 20 of its 35 references that are in the map. First posted on arXiv 3 Feb 2022.

Builds on

20 of 35 references.

References · 20

  1. 2018Representation Learning with Contrastive Predictive Codingcited by 7,662
  2. 2019Momentum Contrast for Unsupervised Visual Representation Learningcited by 7,482
  3. 2020Informer: Beyond Efficient Transformer for Long Sequence Time-Series Forecastingcited by 2,141
  4. 2018An Empirical Evaluation of Generic Convolutional and Recurrent Networks for Sequence Modelingcited by 1,447
  5. 2017Modeling Long- and Short-Term Temporal Patterns with Deep Neural Networkscited by 869
  6. 2019N-BEATS: Neural basis expansion analysis for interpretable time series forecastingcited by 744
  7. 2019Enhancing the Locality and Breaking the Memory Bottleneck of Transformer on Time Series Forecastingcited by 606
  8. 2021TS2Vec: Towards Universal Representation of Time Seriescited by 463
  9. 2020A Transformer-based Framework for Multivariate Time Series Representation Learningcited by 449
  10. 2021Time-Series Representation Learning via Temporal and Contextual Contrastingcited by 342
  11. 2019Unsupervised Scalable Representation Learning for Multivariate Time Seriescited by 267
  12. 2021Unsupervised Representation Learning for Time Series with Temporal Neighborhood Codingcited by 223
8 more
  1. 2017A Multi-Horizon Quantile Recurrent Forecastercited by 211
  2. 2020Representation Learning via Invariant Causal Mechanismscited by 197
  3. 2021FastMoE: A Fast Mixture-of-Expert Training Systemcited by 110
  4. 2017Learning Independent Causal Mechanismscited by 104
  5. 2018RobustSTL: A Robust Seasonal-Trend Decomposition Algorithm for Long Time Seriescited by 54
  6. 2018Multivariate Bayesian Structural Time Series Modelcited by 11
  7. 2017Neural Decomposition of Time-Series Data for Effective Generalizationcited by 9
  8. 2021A Robust and Efficient Multi-Scale Seasonal-Trend Decompositioncited by 4

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 6; 2023: 37; 2024: 50; 2025: 32; 2026: 18.

143 papers.

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  1. 2024Unified Training of Universal Time Series Forecasting Transformerscited by 588
  2. 2022Self-Supervised Contrastive Pre-Training For Time Series via Time-Frequency Consistencycited by 246
  3. 2024Timer: Generative Pre-trained Transformers Are Large Time Series Modelscited by 198
  4. 2023Frequency-domain MLPs are More Effective Learners in Time Series Forecastingcited by 170
  5. 2023TEST: Text Prototype Aligned Embedding to Activate LLM's Ability for Time Seriescited by 165
  6. 2023FourierGNN: Rethinking Multivariate Time Series Forecasting from a Pure Graph Perspectivecited by 126
  7. 2024Tiny Time Mixers (TTMs): Fast Pre-trained Models for Enhanced Zero/Few-Shot Forecasting of Multivariate Time Seriescited by 120
  8. 2023SimMTM: A Simple Pre-Training Framework for Masked Time-Series Modelingcited by 112
  9. 2023Lag-Llama: Towards Foundation Models for Probabilistic Time Series Forecastingcited by 102
  10. 2023Self-Supervised Learning for Time Series Analysis: Taxonomy, Progress, and Prospectscited by 97
  11. 2024VisionTS: Visual Masked Autoencoders Are Free-Lunch Zero-Shot Time Series Forecasterscited by 87
  12. 2023Ti-MAE: Self-Supervised Masked Time Series Autoencoderscited by 63
38 more
  1. 2023A Survey on Time-Series Pre-Trained Modelscited by 52
  2. 2023Soft Contrastive Learning for Time Seriescited by 49
  3. 2023Deciphering Spatio-Temporal Graph Forecasting: A Causal Lens and Treatmentcited by 47
  4. 2024TimeSeriesExam: A time series understanding examcited by 47
  5. 2022Learning Fast and Slow for Online Time Series Forecastingcited by 43
  6. 2023BasisFormer: Attention-based Time Series Forecasting with Learnable and Interpretable Basiscited by 41
  7. 2023A Survey on Deep Learning based Time Series Analysis with Frequency Transformationcited by 40
  8. 2022Koopman Neural Forecaster for Time Series with Temporal Distribution Shiftscited by 35
  9. 2023Learning to Embed Time Series Patches Independentlycited by 34
  10. 2025EEG Foundation Models: A Critical Review of Current Progress and Future Directionscited by 30
  11. 2024Heterogeneous Contrastive Learning for Foundation Models and Beyondcited by 27
  12. 2024Multi-Patch Prediction: Adapting LLMs for Time Series Representation Learningcited by 25
  13. 2023Pushing the Limits of Pre-training for Time Series Forecasting in the CloudOps Domaincited by 23
  14. 2024Towards Urban General Intelligence: A Review and Outlook of Urban Foundation Modelscited by 23
  15. 2024TimeSiam: A Pre-Training Framework for Siamese Time-Series Modelingcited by 20
  16. 2023Disentangling Structured Components: Towards Adaptive, Interpretable and Scalable Time Series Forecastingcited by 19
  17. 2023REBAR: Retrieval-Based Reconstruction for Time-series Contrastive Learningcited by 19
  18. 2025Merlin: Multi-View Representation Learning for Robust Multivariate Time Series Forecasting with Unfixed Missing Ratescited by 19
  19. 2024MultiRC: Joint Learning for Time Series Anomaly Prediction and Detection with Multi-scale Reconstructive Contrastcited by 18
  20. 2023Interpretation of Time-Series Deep Models: A Surveycited by 15
  21. 2024Generative Pretrained Hierarchical Transformer for Time Series Forecastingcited by 15
  22. 2022Neuro-BERT: Rethinking Masked Autoencoding for Self-supervised Neurological Pretrainingcited by 14
  23. 2023Unsupervised Representation Learning for Time Series: A Reviewcited by 14
  24. 2024TimeDART: A Diffusion Autoregressive Transformer for Self-Supervised Time Series Representationcited by 14
  25. 2023Towards Enhancing Time Series Contrastive Learning: A Dynamic Bad Pair Mining Approachcited by 13
  26. 2024MTSCI: A Conditional Diffusion Model for Multivariate Time Series Consistent Imputationcited by 13
  27. 2024Parametric Augmentation for Time Series Contrastive Learningcited by 12
  28. 2023Revisiting Long-term Time Series Forecasting: An Investigation on Linear Mappingcited by 11
  29. 2024Online Test-Time Adaptation of Spatial-Temporal Traffic Flow Forecastingcited by 11
  30. 2023TimeDRL: Disentangled Representation Learning for Multivariate Time-Seriescited by 10
  31. 2023BayOTIDE: Bayesian Online Multivariate Time series Imputation with functional decompositioncited by 9
  32. 2024Learning the Unlearned: Mitigating Feature Suppression in Contrastive Learningcited by 9
  33. 2024PowerPM: Foundation Model for Power Systemscited by 9
  34. 2023A Co-training Approach for Noisy Time Series Learningcited by 8
  35. 2024Self-Supervised Contrastive Learning for Long-term Forecastingcited by 8
  36. 2024Personalized Federated Learning for Spatio-Temporal Forecasting: A Dual Semantic Alignment-Based Contrastive Approachcited by 8
  37. 2024OTIS: Learning High-Quality Time Series Features With Tiny Encoderscited by 8
  38. 2023Simple Contrastive Representation Learning for Time Series Forecastingcited by 7

50 most cited of 143 All 143 (JSON)