mlsanityData to 7 Oct 2026

ETSformer: Exponential Smoothing Transformers for Time-series Forecasting

arXiv 2202.01381 ↗First posted 3 Feb 2022cs.LGcited by 146

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Abstract (arXiv)

Transformers have been actively studied for time-series forecasting in recent years. While often showing promising results in various scenarios, traditional Transformers are not designed to fully exploit the characteristics of time-series data and thus suffer some fundamental limitations, e.g., they generally lack of decomposition capability and interpretability, and are neither effective nor efficient for long-term forecasting. In this paper, we propose ETSFormer, a novel time-series Transformer architecture, which exploits the principle of exponential smoothing in improving Transformers for time-series forecasting. In particular, inspired by the classical exponential smoothing methods in time-series forecasting, we propose the novel exponential smoothing attention (ESA) and frequency attention (FA) to replace the self-attention mechanism in vanilla Transformers, thus improving both accuracy and efficiency. Based on these, we redesign the Transformer architecture with modular decomposition blocks such that it can learn to decompose the time-series data into interpretable time-series components such as level, growth and seasonality. Extensive experiments on various time-series benchmarks validate the efficacy and advantages of the proposed method. Code is available at https://github.com/salesforce/ETSformer.

Key facts. Cited by 146 papers in the map (data through 7 Oct 2026). Builds on 22 of its 45 references that are in the map. First posted on arXiv 3 Feb 2022.

Builds on

22 of 45 references.

References · 22

  1. 2017Attention Is All You Needcited by 59,932
  2. 2015Deep Residual Learning for Image Recognitioncited by 51,809
  3. 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,204
  4. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  5. 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 29,915
  6. 2020End-to-End Object Detection with Transformerscited by 7,384
  7. 2016Layer Normalizationcited by 5,579
  8. 2020Informer: Beyond Efficient Transformer for Long Sequence Time-Series Forecastingcited by 2,141
  9. 2020Reformer: The Efficient Transformercited by 1,658
  10. 2021Autoformer: Decomposition Transformers with Auto-Correlation for Long-Term Series Forecastingcited by 1,654
  11. 2017DeepAR: Probabilistic Forecasting with Autoregressive Recurrent Networkscited by 1,004
  12. 2017Modeling Long- and Short-Term Temporal Patterns with Deep Neural Networkscited by 869
10 more
  1. 2019N-BEATS: Neural basis expansion analysis for interpretable time series forecastingcited by 744
  2. 2019Enhancing the Locality and Breaking the Memory Bottleneck of Transformer on Time Series Forecastingcited by 606
  3. 2020A Transformer-based Framework for Multivariate Time Series Representation Learningcited by 449
  4. 2021FNet: Mixing Tokens with Fourier Transformscited by 343
  5. 2019Transformer Dissection: A Unified Understanding of Transformer's Attention via the Lens of Kernelcited by 211
  6. 2020Synthesizer: Rethinking Self-Attention in Transformer Modelscited by 204
  7. 2013Fast Training of Convolutional Networks through FFTscited by 89
  8. 2020Fixed Encoder Self-Attention Patterns in Transformer-Based Machine Translationcited by 42
  9. 2020Hard-Coded Gaussian Attention for Neural Machine Translationcited by 42
  10. 2021Merlion: A Machine Learning Library for Time Seriescited by 25

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 7; 2023: 35; 2024: 46; 2025: 38; 2026: 20.

146 papers.

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  1. 2022TimesNet: Temporal 2D-Variation Modeling for General Time Series Analysiscited by 1,030
  2. 2023Time-LLM: Time Series Forecasting by Reprogramming Large Language Modelscited by 680
  3. 2023One Fits All:Power General Time Series Analysis by Pretrained LMcited by 615
  4. 2022Non-stationary Transformers: Exploring the Stationarity in Time Series Forecastingcited by 385
  5. 2023FITS: Modeling Time Series with 10k Parameterscited by 185
  6. 2023TEMPO: Prompt-based Generative Pre-trained Transformer for Time Series Forecastingcited by 170
  7. 2023TEST: Text Prototype Aligned Embedding to Activate LLM's Ability for Time Seriescited by 165
  8. 2023UniTime: A Language-Empowered Unified Model for Cross-Domain Time Series Forecastingcited by 139
  9. 2023Meta-Transformer: A Unified Framework for Multimodal Learningcited by 136
  10. 2024TimeMixer++: A General Time Series Pattern Machine for Universal Predictive Analysiscited by 113
  11. 2023Lag-Llama: Towards Foundation Models for Probabilistic Time Series Forecastingcited by 102
  12. 2024CycleNet: Enhancing Time Series Forecasting through Modeling Periodic Patternscited by 102
38 more
  1. 2024VisionTS: Visual Masked Autoencoders Are Free-Lunch Zero-Shot Time Series Forecasterscited by 87
  2. 2024SiMBA: Simplified Mamba-Based Architecture for Vision and Multivariate Time seriescited by 81
  3. 2024Time-MMD: Multi-Domain Multimodal Dataset for Time Series Analysiscited by 65
  4. 2023Ti-MAE: Self-Supervised Masked Time Series Autoencoderscited by 63
  5. 2023CARD: Channel Aligned Robust Blend Transformer for Time Series Forecastingcited by 55
  6. 2022Forecast Evaluation for Data Scientists: Common Pitfalls and Best Practicescited by 54
  7. 2023Effectively Modeling Time Series with Simple Discrete State Spacescited by 54
  8. 2024Medformer: A Multi-Granularity Patching Transformer for Medical Time-Series Classificationcited by 53
  9. 2023MTS-Mixers: Multivariate Time Series Forecasting via Factorized Temporal and Channel Mixingcited by 52
  10. 2023A Survey on Deep Learning based Time Series Analysis with Frequency Transformationcited by 40
  11. 2024TOTEM: TOkenized Time Series EMbeddings for General Time Series Analysiscited by 37
  12. 2025Context-Alignment: Activating and Enhancing LLM Capabilities in Time Seriescited by 34
  13. 2024TSI-Bench: Benchmarking Time Series Imputationcited by 33
  14. 2023Foundation Models for Weather and Climate Data Understanding: A Comprehensive Surveycited by 32
  15. 2023TACTiS-2: Better, Faster, Simpler Attentional Copulas for Multivariate Time Seriescited by 25
  16. 2023Pushing the Limits of Pre-training for Time Series Forecasting in the CloudOps Domaincited by 23
  17. 2023PETformer: Long-term Time Series Forecasting via Placeholder-enhanced Transformercited by 22
  18. 2024RWKV-TS: Beyond Traditional Recurrent Neural Network for Time Series Taskscited by 22
  19. 2022First De-Trend then Attend: Rethinking Attention for Time-Series Forecastingcited by 19
  20. 2022Learning Deep Time-index Models for Time Series Forecastingcited by 18
  21. 2024xLSTM-Mixer: Multivariate Time Series Forecasting by Mixing via Scalar Memoriescited by 18
  22. 2024Personalized Adapter for Large Meteorology Model on Devices: Towards Weather Foundation Modelscited by 15
  23. 2025Tokenizing Single-Channel EEG with Time-Frequency Motif Learningcited by 14
  24. 2024Federated Foundation Models on Heterogeneous Time Seriescited by 13
  25. 2023Revisiting Long-term Time Series Forecasting: An Investigation on Linear Mappingcited by 11
  26. 2024Time Evidence Fusion Network: Multi-source View in Long-Term Time Series Forecastingcited by 11
  27. 2024MedualTime: A Dual-Adapter Language Model for Medical Time Series-Text Multimodal Learningcited by 11
  28. 2023WFTNet: Exploiting Global and Local Periodicity in Long-term Time Series Forecastingcited by 10
  29. 2023A Multi-Scale Decomposition MLP-Mixer for Time Series Analysiscited by 10
  30. 2024TSCMamba: Mamba Meets Multi-View Learning for Time Series Classificationcited by 10
  31. 2024DAM: Towards A Foundation Model for Time Series Forecastingcited by 10
  32. 2025FeDaL: Federated Dataset Learning for General Time Series Foundation Modelscited by 10
  33. 2025Vision-Enhanced Time Series Forecasting via Latent Diffusion Modelscited by 9
  34. 2023Client: Cross-variable Linear Integrated Enhanced Transformer for Multivariate Long-Term Time Series Forecastingcited by 8
  35. 2024Self-Supervised Contrastive Learning for Long-term Forecastingcited by 8
  36. 2024Chimera: Effectively Modeling Multivariate Time Series with 2-Dimensional State Space Modelscited by 8
  37. 2024SAGDFN: A Scalable Adaptive Graph Diffusion Forecasting Network for Multivariate Time Series Forecastingcited by 8
  38. 2025Multi-Modal View Enhanced Large Vision Models for Long-Term Time Series Forecastingcited by 8

50 most cited of 146 All 146 (JSON)