A Multi-view Multi-task Learning Framework for Multi-variate Time Series Forecasting
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Abstract (arXiv)
Multi-variate time series (MTS) data is a ubiquitous class of data abstraction in the real world. Any instance of MTS is generated from a hybrid dynamical system and their specific dynamics are usually unknown. The hybrid nature of such a dynamical system is a result of complex external attributes, such as geographic location and time of day, each of which can be categorized into either spatial attributes or temporal attributes. Therefore, there are two fundamental views which can be used to analyze MTS data, namely the spatial view and the temporal view. Moreover, from each of these two views, we can partition the set of data samples of MTS into disjoint forecasting tasks in accordance with their associated attribute values. Then, samples of the same task will manifest similar forthcoming pattern, which is less sophisticated to be predicted in comparison with the original single-view setting. Considering this insight, we propose a novel multi-view multi-task (MVMT) learning framework for MTS forecasting. Instead of being explicitly presented in most scenarios, MVMT information is deeply concealed in the MTS data, which severely hinders the model from capturing it naturally. To this end, we develop two kinds of basic operations, namely task-wise affine transformation and task-wise normalization, respectively. Applying these two operations with prior knowledge on the spatial and temporal view allows the model to adaptively extract MVMT information while predicting. Extensive experiments on three datasets are conducted to illustrate that canonical architectures can be greatly enhanced by the MVMT learning framework in terms of both effectiveness and efficiency. In addition, we design rich case studies to reveal the properties of representations produced at different phases in the entire prediction procedure.
Key facts. Cited by 21 papers in the map (data through 7 Oct 2026). Builds on 36 of its 60 references that are in the map. First posted on arXiv 2 Sep 2021.
Builds on
36 of 60 references.
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Citing papers per year: 2022: 1; 2023: 7; 2024: 5; 2025: 6; 2026: 2.
21 papers.
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- 2023Exploring Progress in Multivariate Time Series Forecasting: Comprehensive Benchmarking and Heterogeneity Analysiscited by 113
- 2023Large Language Model-Aware In-Context Learning for Code Generationcited by 42
- 2023Spatial-Temporal-Decoupled Masked Pre-training for Spatiotemporal Forecastingcited by 27
- 2023Disentangling Structured Components: Towards Adaptive, Interpretable and Scalable Time Series Forecastingcited by 19
- 2025Merlin: Multi-View Representation Learning for Robust Multivariate Time Series Forecasting with Unfixed Missing Ratescited by 19
- 2023STAEformer: Spatio-Temporal Adaptive Embedding Makes Vanilla Transformer SOTA for Traffic Forecastingcited by 12
- 2024Mitigating Propensity Bias of Large Language Models for Recommender Systemscited by 8
- 2023Learning Gaussian Mixture Representations for Tensor Time Series Forecastingcited by 6
- 2024Modeling Temporal Dependencies within the Target for Long-Term Time Series Forecastingcited by 6
- 2025How Different from the Past? Spatio-Temporal Time Series Forecasting with Self-Supervised Deviation Learningcited by 4
- 2022MegaCRN: Meta-Graph Convolutional Recurrent Network for Spatio-Temporal Modelingcited by 3
- 2024Prediction of Vessel Arrival Time to Pilotage Area Using Multi-Data Fusion and Deep Learningcited by 3
9 more
- 2024Enhancing Spatio-temporal Quantile Forecasting with Curriculum Learning: Lessons Learnedcited by 2
- 2024Tackling Data Heterogeneity in Federated Time Series Forecastingcited by 2
- 2026Zeus: Towards Tuning-Free Foundation Model for Time Series Analysiscited by 2
- 2025Learning Generalized and Flexible Trajectory Models from Omni-Semantic Supervisioncited by 1
- 2025Non-collective Calibrating Strategy for Time Series Forecastingcited by 1
- 2023Interpretable System Identification and Long-term Prediction on Time-Series Datacited by 0
- 2025Accurate and Efficient Multivariate Time Series Forecasting via Offline Clusteringcited by 0
- 2025Adaptive Multi-task Learning for Probabilistic Load Forecastingcited by 0
- 2026Multi-Task Learning for Sparsely-Labeled Time Series: A Case Study on Cold-Hardiness Modelingcited by 0
- 2026Multi-Task Learning for Sparsely-Labeled Time Series: A Case Study on Cold-Hardiness Modeling8 Sep 2026
- 2026Zeus: Towards Tuning-Free Foundation Model for Time Series Analysis2 Jul 2026
- 2025Adaptive Multi-task Learning for Probabilistic Load Forecasting23 Dec 2025
- 2025How Different from the Past? Spatio-Temporal Time Series Forecasting with Self-Supervised Deviation Learning6 Oct 2025
- 2025Merlin: Multi-View Representation Learning for Robust Multivariate Time Series Forecasting with Unfixed Missing Rates14 Jun 2025
- 2025Non-collective Calibrating Strategy for Time Series Forecasting29 May 2025
- 2025Learning Generalized and Flexible Trajectory Models from Omni-Semantic Supervision23 May 2025
- 2025Accurate and Efficient Multivariate Time Series Forecasting via Offline Clustering9 May 2025
- 2024Tackling Data Heterogeneity in Federated Time Series Forecasting24 Nov 2024
- 2024Mitigating Propensity Bias of Large Language Models for Recommender Systems30 Sep 2024
- 2024Enhancing Spatio-temporal Quantile Forecasting with Curriculum Learning: Lessons Learned18 Jun 2024
- 2024Modeling Temporal Dependencies within the Target for Long-Term Time Series Forecasting7 Jun 2024
9 more
- 2024Prediction of Vessel Arrival Time to Pilotage Area Using Multi-Data Fusion and Deep Learning15 Mar 2024
- 2023Spatial-Temporal-Decoupled Masked Pre-training for Spatiotemporal Forecasting1 Dec 2023
- 2023Large Language Model-Aware In-Context Learning for Code Generation15 Oct 2023
- 2023Exploring Progress in Multivariate Time Series Forecasting: Comprehensive Benchmarking and Heterogeneity Analysis9 Oct 2023
- 2023STAEformer: Spatio-Temporal Adaptive Embedding Makes Vanilla Transformer SOTA for Traffic Forecasting21 Aug 2023
- 2023Learning Gaussian Mixture Representations for Tensor Time Series Forecasting1 Jun 2023
- 2023Disentangling Structured Components: Towards Adaptive, Interpretable and Scalable Time Series Forecasting22 May 2023
- 2023Interpretable System Identification and Long-term Prediction on Time-Series Data2 Mar 2023
- 2022MegaCRN: Meta-Graph Convolutional Recurrent Network for Spatio-Temporal Modeling12 Dec 2022
- 2023Exploring Progress in Multivariate Time Series Forecasting: Comprehensive Benchmarking and Heterogeneity Analysiscited by 113
- 2023Large Language Model-Aware In-Context Learning for Code Generationcited by 42
- 2023Spatial-Temporal-Decoupled Masked Pre-training for Spatiotemporal Forecastingcited by 27
- 2023Disentangling Structured Components: Towards Adaptive, Interpretable and Scalable Time Series Forecastingcited by 19
- 2025Merlin: Multi-View Representation Learning for Robust Multivariate Time Series Forecasting with Unfixed Missing Ratescited by 19
- 2023STAEformer: Spatio-Temporal Adaptive Embedding Makes Vanilla Transformer SOTA for Traffic Forecastingcited by 12
- 2024Mitigating Propensity Bias of Large Language Models for Recommender Systemscited by 8
- 2023Learning Gaussian Mixture Representations for Tensor Time Series Forecastingcited by 6
- 2024Modeling Temporal Dependencies within the Target for Long-Term Time Series Forecastingcited by 6
- 2025How Different from the Past? Spatio-Temporal Time Series Forecasting with Self-Supervised Deviation Learningcited by 4
- 2022MegaCRN: Meta-Graph Convolutional Recurrent Network for Spatio-Temporal Modelingcited by 3
- 2024Prediction of Vessel Arrival Time to Pilotage Area Using Multi-Data Fusion and Deep Learningcited by 3
12 most cited of 21 All 21 (JSON)
- 2026Multi-Task Learning for Sparsely-Labeled Time Series: A Case Study on Cold-Hardiness Modeling8 Sep 2026
- 2026Zeus: Towards Tuning-Free Foundation Model for Time Series Analysis2 Jul 2026
- 2025Adaptive Multi-task Learning for Probabilistic Load Forecasting23 Dec 2025
- 2025How Different from the Past? Spatio-Temporal Time Series Forecasting with Self-Supervised Deviation Learning6 Oct 2025
- 2025Merlin: Multi-View Representation Learning for Robust Multivariate Time Series Forecasting with Unfixed Missing Rates14 Jun 2025
- 2025Non-collective Calibrating Strategy for Time Series Forecasting29 May 2025
- 2025Learning Generalized and Flexible Trajectory Models from Omni-Semantic Supervision23 May 2025
- 2025Accurate and Efficient Multivariate Time Series Forecasting via Offline Clustering9 May 2025
- 2024Tackling Data Heterogeneity in Federated Time Series Forecasting24 Nov 2024
- 2024Mitigating Propensity Bias of Large Language Models for Recommender Systems30 Sep 2024
- 2024Enhancing Spatio-temporal Quantile Forecasting with Curriculum Learning: Lessons Learned18 Jun 2024
- 2024Modeling Temporal Dependencies within the Target for Long-Term Time Series Forecasting7 Jun 2024
12 newest of 21 All 21 (JSON)