RobustTSF: Towards Theory and Design of Robust Time Series Forecasting with Anomalies
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Abstract (arXiv)
Time series forecasting is an important and forefront task in many real-world applications. However, most of time series forecasting techniques assume that the training data is clean without anomalies. This assumption is unrealistic since the collected time series data can be contaminated in practice. The forecasting model will be inferior if it is directly trained by time series with anomalies. Thus it is essential to develop methods to automatically learn a robust forecasting model from the contaminated data. In this paper, we first statistically define three types of anomalies, then theoretically and experimentally analyze the loss robustness and sample robustness when these anomalies exist. Based on our analyses, we propose a simple and efficient algorithm to learn a robust forecasting model. Extensive experiments show that our method is highly robust and outperforms all existing approaches. The code is available at https://github.com/haochenglouis/RobustTSF.
Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). Builds on 33 of its 48 references that are in the map. First posted on arXiv 3 Feb 2024.
Builds on
33 of 48 references.
References · 33
- 2017Attention Is All You Needcited by 59,932
- 2014Explaining and Harnessing Adversarial Examplescited by 7,287
- 2020Informer: Beyond Efficient Transformer for Long Sequence Time-Series Forecastingcited by 2,141
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- 2022FEDformer: Frequency Enhanced Decomposed Transformer for Long-term Series Forecastingcited by 1,200
- 2018Co-teaching: Robust Training of Deep Neural Networks with Extremely Noisy Labelscited by 1,053
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21 more
- 2017MentorNet: Learning Data-Driven Curriculum for Very Deep Neural Networks on Corrupted Labelscited by 652
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- 2022Robust Probabilistic Time Series Forecastingcited by 15
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Citing papers per year: 2024: 3; 2025: 6; 2026: 8.
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- 2024Rethinking the Power of Timestamps for Robust Time Series Forecasting: A Global-Local Fusion Perspectivecited by 13
- 2025Kairos: Toward Adaptive and Parameter-Efficient Time Series Foundation Modelscited by 8
- 2025Revisiting LLMs as Zero-Shot Time-Series Forecasters: Small Noise Can Break Large Modelscited by 7
- 2024Modeling Temporal Dependencies within the Target for Long-Term Time Series Forecastingcited by 6
- 2024Task-oriented Time Series Imputation Evaluation via Generalized Representerscited by 6
- 2026DropoutTS: Sample-Adaptive Dropout for Robust Time Series Forecastingcited by 3
- 2026Diversified Scaling Inference in Time Series Foundation Modelscited by 2
- 2025Investigating a Model-Agnostic and Imputation-Free Approach for Irregularly-Sampled Multivariate Time-Series Modelingcited by 1
- 2025Quantifying Robustness: A Benchmarking Framework for Deep Learning Forecasting in Cyber-Physical Systemscited by 1
- 2025CoIFNet: A Unified Framework for Multivariate Time Series Forecasting with Missing Valuescited by 1
- 2026SEER: Transformer-based Robust Time Series Forecasting via Automated Patch Enhancement and Replacementcited by 1
- 2025Contrastive Time Series Forecasting with Anomaliescited by 0
5 more
- 2026Policy-Controlled Generalized Share: A General Framework with a Transformer Instantiation for Strictly Online Switching-Oracle Trackingcited by 0
- 2026MorphStrata: Layer-Specific Perturbations for Generating Morphence Students in Time-Series Moving Target Defensecited by 0
- 2026TS-Fault: Benchmarking Time Series Forecasters Against Structural Faultscited by 0
- 2026DrafTS: Time-Aware Decomposition with Residual Correction for Time Series Modelingcited by 0
- 2026Towards Robust Time Series Learning via Capacity-Centric Modulationcited by 0
- 2026Towards Robust Time Series Learning via Capacity-Centric Modulation30 Sep 2026
- 2026DrafTS: Time-Aware Decomposition with Residual Correction for Time Series Modeling27 Sep 2026
- 2026TS-Fault: Benchmarking Time Series Forecasters Against Structural Faults16 Jun 2026
- 2026MorphStrata: Layer-Specific Perturbations for Generating Morphence Students in Time-Series Moving Target Defense16 Jun 2026
- 2026Policy-Controlled Generalized Share: A General Framework with a Transformer Instantiation for Strictly Online Switching-Oracle Tracking30 Mar 2026
- 2026SEER: Transformer-based Robust Time Series Forecasting via Automated Patch Enhancement and Replacement31 Jan 2026
- 2026DropoutTS: Sample-Adaptive Dropout for Robust Time Series Forecasting29 Jan 2026
- 2026Diversified Scaling Inference in Time Series Foundation Models24 Jan 2026
- 2025Contrastive Time Series Forecasting with Anomalies12 Dec 2025
- 2025Kairos: Toward Adaptive and Parameter-Efficient Time Series Foundation Models30 Sep 2025
- 2025CoIFNet: A Unified Framework for Multivariate Time Series Forecasting with Missing Values16 Jun 2025
- 2025Revisiting LLMs as Zero-Shot Time-Series Forecasters: Small Noise Can Break Large Models31 May 2025
5 more
- 2025Quantifying Robustness: A Benchmarking Framework for Deep Learning Forecasting in Cyber-Physical Systems4 Apr 2025
- 2025Investigating a Model-Agnostic and Imputation-Free Approach for Irregularly-Sampled Multivariate Time-Series Modeling18 Feb 2025
- 2024Task-oriented Time Series Imputation Evaluation via Generalized Representers9 Oct 2024
- 2024Rethinking the Power of Timestamps for Robust Time Series Forecasting: A Global-Local Fusion Perspective27 Sep 2024
- 2024Modeling Temporal Dependencies within the Target for Long-Term Time Series Forecasting7 Jun 2024
- 2024Rethinking the Power of Timestamps for Robust Time Series Forecasting: A Global-Local Fusion Perspectivecited by 13
- 2025Kairos: Toward Adaptive and Parameter-Efficient Time Series Foundation Modelscited by 8
- 2025Revisiting LLMs as Zero-Shot Time-Series Forecasters: Small Noise Can Break Large Modelscited by 7
- 2024Modeling Temporal Dependencies within the Target for Long-Term Time Series Forecastingcited by 6
- 2024Task-oriented Time Series Imputation Evaluation via Generalized Representerscited by 6
- 2026DropoutTS: Sample-Adaptive Dropout for Robust Time Series Forecastingcited by 3
- 2025Investigating a Model-Agnostic and Imputation-Free Approach for Irregularly-Sampled Multivariate Time-Series Modelingcited by 1
- 2025Quantifying Robustness: A Benchmarking Framework for Deep Learning Forecasting in Cyber-Physical Systemscited by 1
- 2025CoIFNet: A Unified Framework for Multivariate Time Series Forecasting with Missing Valuescited by 1
- 2025Contrastive Time Series Forecasting with Anomaliescited by 0
- 2026Policy-Controlled Generalized Share: A General Framework with a Transformer Instantiation for Strictly Online Switching-Oracle Trackingcited by 0
- 2026MorphStrata: Layer-Specific Perturbations for Generating Morphence Students in Time-Series Moving Target Defensecited by 0
12 most cited of 15 All 15 (JSON)
- 2026Towards Robust Time Series Learning via Capacity-Centric Modulation30 Sep 2026
- 2026DrafTS: Time-Aware Decomposition with Residual Correction for Time Series Modeling27 Sep 2026
- 2026TS-Fault: Benchmarking Time Series Forecasters Against Structural Faults16 Jun 2026
- 2026MorphStrata: Layer-Specific Perturbations for Generating Morphence Students in Time-Series Moving Target Defense16 Jun 2026
- 2026Policy-Controlled Generalized Share: A General Framework with a Transformer Instantiation for Strictly Online Switching-Oracle Tracking30 Mar 2026
- 2026DropoutTS: Sample-Adaptive Dropout for Robust Time Series Forecasting29 Jan 2026
- 2025Contrastive Time Series Forecasting with Anomalies12 Dec 2025
- 2025Kairos: Toward Adaptive and Parameter-Efficient Time Series Foundation Models30 Sep 2025
- 2025CoIFNet: A Unified Framework for Multivariate Time Series Forecasting with Missing Values16 Jun 2025
- 2025Revisiting LLMs as Zero-Shot Time-Series Forecasters: Small Noise Can Break Large Models31 May 2025
- 2025Quantifying Robustness: A Benchmarking Framework for Deep Learning Forecasting in Cyber-Physical Systems4 Apr 2025
- 2025Investigating a Model-Agnostic and Imputation-Free Approach for Irregularly-Sampled Multivariate Time-Series Modeling18 Feb 2025
12 newest of 15 All 15 (JSON)