ETSformer: Exponential Smoothing Transformers for Time-series Forecasting
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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
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10 more
- 2019N-BEATS: Neural basis expansion analysis for interpretable time series forecastingcited by 744
- 2019Enhancing the Locality and Breaking the Memory Bottleneck of Transformer on Time Series Forecastingcited by 606
- 2020A Transformer-based Framework for Multivariate Time Series Representation Learningcited by 449
- 2021FNet: Mixing Tokens with Fourier Transformscited by 343
- 2019Transformer Dissection: A Unified Understanding of Transformer's Attention via the Lens of Kernelcited by 211
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- 2021Merlion: A Machine Learning Library for Time Seriescited by 25
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Citing papers per year: 2022: 7; 2023: 35; 2024: 46; 2025: 38; 2026: 20.
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- 2022TimesNet: Temporal 2D-Variation Modeling for General Time Series Analysiscited by 1,030
- 2023Time-LLM: Time Series Forecasting by Reprogramming Large Language Modelscited by 680
- 2023One Fits All:Power General Time Series Analysis by Pretrained LMcited by 615
- 2022Non-stationary Transformers: Exploring the Stationarity in Time Series Forecastingcited by 385
- 2023FITS: Modeling Time Series with 10k Parameterscited by 185
- 2023TEMPO: Prompt-based Generative Pre-trained Transformer for Time Series Forecastingcited by 170
- 2023TEST: Text Prototype Aligned Embedding to Activate LLM's Ability for Time Seriescited by 165
- 2023UniTime: A Language-Empowered Unified Model for Cross-Domain Time Series Forecastingcited by 139
- 2023Meta-Transformer: A Unified Framework for Multimodal Learningcited by 136
- 2024TimeMixer++: A General Time Series Pattern Machine for Universal Predictive Analysiscited by 113
- 2023Lag-Llama: Towards Foundation Models for Probabilistic Time Series Forecastingcited by 102
- 2024CycleNet: Enhancing Time Series Forecasting through Modeling Periodic Patternscited by 102
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- 2023Effectively Modeling Time Series with Simple Discrete State Spacescited by 54
- 2024Medformer: A Multi-Granularity Patching Transformer for Medical Time-Series Classificationcited by 53
- 2023MTS-Mixers: Multivariate Time Series Forecasting via Factorized Temporal and Channel Mixingcited by 52
- 2023A Survey on Deep Learning based Time Series Analysis with Frequency Transformationcited by 40
- 2024TOTEM: TOkenized Time Series EMbeddings for General Time Series Analysiscited by 37
- 2025Context-Alignment: Activating and Enhancing LLM Capabilities in Time Seriescited by 34
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- 2023Pushing the Limits of Pre-training for Time Series Forecasting in the CloudOps Domaincited by 23
- 2023PETformer: Long-term Time Series Forecasting via Placeholder-enhanced Transformercited by 22
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- 2022First De-Trend then Attend: Rethinking Attention for Time-Series Forecastingcited by 19
- 2022Learning Deep Time-index Models for Time Series Forecastingcited by 18
- 2024xLSTM-Mixer: Multivariate Time Series Forecasting by Mixing via Scalar Memoriescited by 18
- 2024Personalized Adapter for Large Meteorology Model on Devices: Towards Weather Foundation Modelscited by 15
- 2025Tokenizing Single-Channel EEG with Time-Frequency Motif Learningcited by 14
- 2024Federated Foundation Models on Heterogeneous Time Seriescited by 13
- 2023Revisiting Long-term Time Series Forecasting: An Investigation on Linear Mappingcited by 11
- 2024Time Evidence Fusion Network: Multi-source View in Long-Term Time Series Forecastingcited by 11
- 2024MedualTime: A Dual-Adapter Language Model for Medical Time Series-Text Multimodal Learningcited by 11
- 2023WFTNet: Exploiting Global and Local Periodicity in Long-term Time Series Forecastingcited by 10
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- 2024DAM: Towards A Foundation Model for Time Series Forecastingcited by 10
- 2025FeDaL: Federated Dataset Learning for General Time Series Foundation Modelscited by 10
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- 2024SAGDFN: A Scalable Adaptive Graph Diffusion Forecasting Network for Multivariate Time Series Forecastingcited by 8
- 2025Multi-Modal View Enhanced Large Vision Models for Long-Term Time Series Forecastingcited by 8
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- 2026Adaptive Financial Transformer with Regime-Gated Attention for Stock Return Prediction28 Jun 2026
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- 2026XCTFormer: Leveraging Cross-Channel and Cross-Time Dependencies for Enhanced Time-Series Analysis18 May 2026
- 2026FRWKV+: Periodic-Aware Adaptive Gating for Frequency-Space Linear Time Series Forecasting15 May 2026
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- 2026Forecasting with Guidance: Representation-Level Supervision for Time Series Forecasting25 Mar 2026
- 2026TIFO: Time-Invariant Frequency Operator for Stationarity-Aware Representation Learning in Time Series19 Feb 2026
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- 2026Multi-scale hypergraph meets LLMs: Aligning large language models for time series analysis4 Feb 2026
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- 2026LiQSS: Post-Transformer Linear Quantum-Inspired State-Space Tensor Networks for Real-Time 6G18 Jan 2026
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- 2025DPWMixer: Dual-Path Wavelet Mixer for Long-Term Time Series Forecasting30 Nov 2025
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- 2025EMTSF:Extraordinary Mixture of SOTA Models for Time Series Forecasting27 Oct 2025
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- 2025Learning Temporal Saliency for Time Series Forecasting with Cross-Scale Attention26 Sep 2025
- 2025TSGym: Design Choices for Deep Multivariate Time-Series Forecasting21 Sep 2025
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- 2025FeDaL: Federated Dataset Learning for General Time Series Foundation Models6 Aug 2025
- 2025The Power of Architecture: Deep Dive into Transformer Architectures for Long-Term Time Series Forecasting17 Jul 2025
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- 2025Scaling Transformers for Time Series Forecasting: Do Pretrained Large Models Outperform Small-Scale Alternatives?24 Jun 2025
- 2025TimeRecipe: A Time-Series Forecasting Recipe via Benchmarking Module Level Effectiveness6 Jun 2025
- 2025Channel-Imposed Fusion: A Simple yet Effective Method for Medical Time Series Classification31 May 2025
- 2025From Images to Signals: Are Large Vision Models Useful for Time Series Analysis?29 May 2025
- 2025Multi-Modal View Enhanced Large Vision Models for Long-Term Time Series Forecasting29 May 2025
- 2025Are Data Embeddings effective in time series forecasting?27 May 2025
- 2025Non-Stationary Time Series Forecasting Based on Fourier Analysis and Cross Attention Mechanism11 May 2025
- 2025TSRM: A Lightweight Temporal Feature Encoding Architecture for Time Series Forecasting and Imputation26 Apr 2025
- 2025iTFKAN: Interpretable Time Series Forecasting with Kolmogorov-Arnold Network23 Apr 2025
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- 2025Integrating Quantum-Classical Attention in Patch Transformers for Enhanced Time Series Forecasting31 Mar 2025
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- 2024Heracles: A Hybrid SSM-Transformer Model for High-Resolution Image and Time-Series Analysis26 Mar 2024
- 2024SiMBA: Simplified Mamba-Based Architecture for Vision and Multivariate Time series22 Mar 2024
- 2026Visual Reasoning over Time Series via Multi-Agent Systemcited by 1
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- 2022TimesNet: Temporal 2D-Variation Modeling for General Time Series Analysiscited by 1,030
- 2023Time-LLM: Time Series Forecasting by Reprogramming Large Language Modelscited by 680
- 2023One Fits All:Power General Time Series Analysis by Pretrained LMcited by 615
- 2022Non-stationary Transformers: Exploring the Stationarity in Time Series Forecastingcited by 385
- 2023FITS: Modeling Time Series with 10k Parameterscited by 185
- 2023TEMPO: Prompt-based Generative Pre-trained Transformer for Time Series Forecastingcited by 170
- 2023TEST: Text Prototype Aligned Embedding to Activate LLM's Ability for Time Seriescited by 165
- 2023UniTime: A Language-Empowered Unified Model for Cross-Domain Time Series Forecastingcited by 139
- 2023Meta-Transformer: A Unified Framework for Multimodal Learningcited by 136
- 2024TimeMixer++: A General Time Series Pattern Machine for Universal Predictive Analysiscited by 113
- 2023Lag-Llama: Towards Foundation Models for Probabilistic Time Series Forecastingcited by 102
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- 2026Adaptive Financial Transformer with Regime-Gated Attention for Stock Return Prediction28 Jun 2026
- 2026Distribution-Aware Diffusion-LLM for Robust Ultra-Long-Term Time Series Forecasting22 Jun 2026
- 2026GEESE: Genotype-aware End-to-End Spatio-temporal Embedding for Behavioral Phenotyping23 May 2026
- 2026PaP-NF: Probabilistic Long-Term Time Series Forecasting via Prefix-as-Prompt Reprogramming and Normalizing Flows22 May 2026
- 2026XCTFormer: Leveraging Cross-Channel and Cross-Time Dependencies for Enhanced Time-Series Analysis18 May 2026
- 2026FRWKV+: Periodic-Aware Adaptive Gating for Frequency-Space Linear Time Series Forecasting15 May 2026
- 2026Meteorology-Driven GPT4AP: A Multi-Task Forecasting LLM for Atmospheric Air Pollution in Data-Scarce Settings31 Mar 2026
- 2026Forecasting with Guidance: Representation-Level Supervision for Time Series Forecasting25 Mar 2026
- 2026TIFO: Time-Invariant Frequency Operator for Stationarity-Aware Representation Learning in Time Series19 Feb 2026
- 2026Forecasting Anomaly Precursors via Uncertainty-Aware Time-Series Ensembles19 Feb 2026
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