Network of Tensor Time Series
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Abstract (arXiv)
Co-evolving time series appears in a multitude of applications such as environmental monitoring, financial analysis, and smart transportation. This paper aims to address the following challenges, including (C1) how to incorporate explicit relationship networks of the time series; (C2) how to model the implicit relationship of the temporal dynamics. We propose a novel model called Network of Tensor Time Series, which is comprised of two modules, including Tensor Graph Convolutional Network (TGCN) and Tensor Recurrent Neural Network (TRNN). TGCN tackles the first challenge by generalizing Graph Convolutional Network (GCN) for flat graphs to tensor graphs, which captures the synergy between multiple graphs associated with the tensors. TRNN leverages tensor decomposition to model the implicit relationships among co-evolving time series. The experimental results on five real-world datasets demonstrate the efficacy of the proposed method.
Key facts. Cited by 32 papers in the map (data through 7 Oct 2026). Builds on 17 of its 46 references that are in the map. First posted on arXiv 15 Feb 2021.
Builds on
17 of 46 references.
References · 17
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
- 2019A Comprehensive Survey on Graph Neural Networkscited by 2,906
- 2016Convolutional Neural Networks on Graphs with Fast Localized Spectral Filteringcited by 2,085
- 2017Modeling Relational Data with Graph Convolutional Networkscited by 1,684
- 2018Graph Neural Networks: A Review of Methods and Applicationscited by 1,571
- 2018Spatial Temporal Graph Convolutional Networks for Skeleton-Based Action Recognitioncited by 1,199
- 2017Spatio-Temporal Graph Convolutional Networks: A Deep Learning Framework for Traffic Forecastingcited by 1,125
- 2013Spectral Networks and Locally Connected Networks on Graphscited by 1,097
- 2019Heterogeneous Graph Attention Networkcited by 732
- 2015Deep Convolutional Networks on Graph-Structured Datacited by 246
- 2014Graph-based Anomaly Detection and Description: A Surveycited by 182
5 more
- 2017Geometric Matrix Completion with Recurrent Multi-Graph Neural Networkscited by 88
- 2019Predicting Path Failure In Time-Evolving Graphscited by 54
- 2020Tensor Graph Convolutional Networks for Text Classificationcited by 49
- 2017Long-term Forecasting using Higher Order Tensor RNNscited by 34
- 2017Recover Missing Sensor Data with Iterative Imputing Networkcited by 2
Built on by
Citing papers per year: 2021: 6; 2022: 6; 2023: 4; 2024: 8; 2025: 4; 2026: 4.
32 papers.
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- 2025Language in the Flow of Time: Time-Series-Paired Texts Weaved into a Unified Temporal Narrativecited by 35
- 2021Graph Communal Contrastive Learningcited by 34
- 2024VCR-Graphormer: A Mini-batch Graph Transformer via Virtual Connectionscited by 34
- 2023Networked Time Series Imputation via Position-aware Graph Enhanced Variational Autoencoderscited by 32
- 2022RawlsGCN: Towards Rawlsian Difference Principle on Graph Convolutional Networkcited by 27
- 2024Heterogeneous Contrastive Learning for Foundation Models and Beyondcited by 27
- 2021Graph Sanitation with Application to Node Classificationcited by 20
- 2021Multiplex Graph Neural Network for Extractive Text Summarizationcited by 19
- 2021X-GOAL: Multiplex Heterogeneous Graph Prototypical Contrastive Learningcited by 19
- 2024BACKTIME: Backdoor Attacks on Multivariate Time Series Forecastingcited by 18
- 2021DPPIN: A Biological Repository of Dynamic Protein-Protein Interaction Network Datacited by 17
- 2025Pave Your Own Path: Graph Gradual Domain Adaptation on Fused Gromov-Wasserstein Geodesicscited by 17
20 more
- 2022COIN: Co-Cluster Infomax for Bipartite Graphscited by 14
- 2024PyG-SSL: A Graph Self-Supervised Learning Toolkitcited by 14
- 2022Retrieval Based Time Series Forecastingcited by 13
- 2023Reconstructing Graph Diffusion History from a Single Snapshotcited by 13
- 2023STERLING: Synergistic Representation Learning on Bipartite Graphscited by 12
- 2025Breaking Silos: Adaptive Model Fusion Unlocks Better Time Series Forecastingcited by 12
- 2022RETE: Retrieval-Enhanced Temporal Event Forecasting on Unified Query Product Evolutionary Graphcited by 11
- 2024Causality-Aware Spatiotemporal Graph Neural Networks for Spatiotemporal Time Series Imputationcited by 11
- 2022DISCO: Comprehensive and Explainable Disinformation Detectioncited by 9
- 2024Dynamic Multi-Network Mining of Tensor Time Seriescited by 8
- 2023Learning Gaussian Mixture Representations for Tensor Time Series Forecastingcited by 6
- 2022ARIEL: Adversarial Graph Contrastive Learningcited by 5
- 2024Automated Contrastive Learning Strategy Search for Time Seriescited by 5
- 2024Mining of Switching Sparse Networks for Missing Value Imputation in Multivariate Time Seriescited by 5
- 2021Networked Time Series Prediction with Incomplete Data via Generative Adversarial Networkcited by 1
- 2026What if Tomorrow is the World Cup Final? Counterfactual Time Series Forecasting with Textual Conditionscited by 1
- 2025Tensor Convolutional Network for Higher-Order Interaction Prediction in Sparse Tensorscited by 0
- 2026Disentangled Mode-Specific Representations for Tensor Time Series via Contrastive Learningcited by 0
- 2026AdaKernel: Learning Adaptive Kernel Parameters for Spatiotemporal Graph Neural Networkscited by 0
- 2026Impute On-Demand: Adaptive Correlated Time Series Imputation for Changing Environmentscited by 0
- 2026Impute On-Demand: Adaptive Correlated Time Series Imputation for Changing Environments26 Jul 2026
- 2026AdaKernel: Learning Adaptive Kernel Parameters for Spatiotemporal Graph Neural Networks31 May 2026
- 2026What if Tomorrow is the World Cup Final? Counterfactual Time Series Forecasting with Textual Conditions14 May 2026
- 2026Disentangled Mode-Specific Representations for Tensor Time Series via Contrastive Learning27 Feb 2026
- 2025Breaking Silos: Adaptive Model Fusion Unlocks Better Time Series Forecasting24 May 2025
- 2025Pave Your Own Path: Graph Gradual Domain Adaptation on Fused Gromov-Wasserstein Geodesics19 May 2025
- 2025Tensor Convolutional Network for Higher-Order Interaction Prediction in Sparse Tensors14 Mar 2025
- 2025Language in the Flow of Time: Time-Series-Paired Texts Weaved into a Unified Temporal Narrative13 Feb 2025
- 2024PyG-SSL: A Graph Self-Supervised Learning Toolkit30 Dec 2024
- 2024BACKTIME: Backdoor Attacks on Multivariate Time Series Forecasting3 Oct 2024
- 2024Mining of Switching Sparse Networks for Missing Value Imputation in Multivariate Time Series16 Sep 2024
- 2024Heterogeneous Contrastive Learning for Foundation Models and Beyond30 Mar 2024
20 more
- 2024VCR-Graphormer: A Mini-batch Graph Transformer via Virtual Connections24 Mar 2024
- 2024Automated Contrastive Learning Strategy Search for Time Series19 Mar 2024
- 2024Causality-Aware Spatiotemporal Graph Neural Networks for Spatiotemporal Time Series Imputation18 Mar 2024
- 2024Dynamic Multi-Network Mining of Tensor Time Series19 Feb 2024
- 2023Reconstructing Graph Diffusion History from a Single Snapshot1 Jun 2023
- 2023Learning Gaussian Mixture Representations for Tensor Time Series Forecasting1 Jun 2023
- 2023Networked Time Series Imputation via Position-aware Graph Enhanced Variational Autoencoders29 May 2023
- 2023STERLING: Synergistic Representation Learning on Bipartite Graphs25 Jan 2023
- 2022Retrieval Based Time Series Forecasting27 Sep 2022
- 2022ARIEL: Adversarial Graph Contrastive Learning15 Aug 2022
- 2022COIN: Co-Cluster Infomax for Bipartite Graphs31 May 2022
- 2022DISCO: Comprehensive and Explainable Disinformation Detection9 Mar 2022
- 2022RawlsGCN: Towards Rawlsian Difference Principle on Graph Convolutional Network28 Feb 2022
- 2022RETE: Retrieval-Enhanced Temporal Event Forecasting on Unified Query Product Evolutionary Graph12 Feb 2022
- 2021Graph Communal Contrastive Learning28 Oct 2021
- 2021Networked Time Series Prediction with Incomplete Data via Generative Adversarial Network5 Oct 2021
- 2021X-GOAL: Multiplex Heterogeneous Graph Prototypical Contrastive Learning8 Sep 2021
- 2021Multiplex Graph Neural Network for Extractive Text Summarization29 Aug 2021
- 2021DPPIN: A Biological Repository of Dynamic Protein-Protein Interaction Network Data5 Jul 2021
- 2021Graph Sanitation with Application to Node Classification19 May 2021
- 2025Language in the Flow of Time: Time-Series-Paired Texts Weaved into a Unified Temporal Narrativecited by 35
- 2021Graph Communal Contrastive Learningcited by 34
- 2024VCR-Graphormer: A Mini-batch Graph Transformer via Virtual Connectionscited by 34
- 2023Networked Time Series Imputation via Position-aware Graph Enhanced Variational Autoencoderscited by 32
- 2022RawlsGCN: Towards Rawlsian Difference Principle on Graph Convolutional Networkcited by 27
- 2024Heterogeneous Contrastive Learning for Foundation Models and Beyondcited by 27
- 2021Graph Sanitation with Application to Node Classificationcited by 20
- 2021Multiplex Graph Neural Network for Extractive Text Summarizationcited by 19
- 2021X-GOAL: Multiplex Heterogeneous Graph Prototypical Contrastive Learningcited by 19
- 2024BACKTIME: Backdoor Attacks on Multivariate Time Series Forecastingcited by 18
- 2021DPPIN: A Biological Repository of Dynamic Protein-Protein Interaction Network Datacited by 17
- 2025Pave Your Own Path: Graph Gradual Domain Adaptation on Fused Gromov-Wasserstein Geodesicscited by 17
12 most cited of 32 All 32 (JSON)
- 2026Impute On-Demand: Adaptive Correlated Time Series Imputation for Changing Environments26 Jul 2026
- 2026AdaKernel: Learning Adaptive Kernel Parameters for Spatiotemporal Graph Neural Networks31 May 2026
- 2026What if Tomorrow is the World Cup Final? Counterfactual Time Series Forecasting with Textual Conditions14 May 2026
- 2026Disentangled Mode-Specific Representations for Tensor Time Series via Contrastive Learning27 Feb 2026
- 2025Breaking Silos: Adaptive Model Fusion Unlocks Better Time Series Forecasting24 May 2025
- 2025Pave Your Own Path: Graph Gradual Domain Adaptation on Fused Gromov-Wasserstein Geodesics19 May 2025
- 2025Tensor Convolutional Network for Higher-Order Interaction Prediction in Sparse Tensors14 Mar 2025
- 2025Language in the Flow of Time: Time-Series-Paired Texts Weaved into a Unified Temporal Narrative13 Feb 2025
- 2024PyG-SSL: A Graph Self-Supervised Learning Toolkit30 Dec 2024
- 2024BACKTIME: Backdoor Attacks on Multivariate Time Series Forecasting3 Oct 2024
- 2024Mining of Switching Sparse Networks for Missing Value Imputation in Multivariate Time Series16 Sep 2024
- 2024Heterogeneous Contrastive Learning for Foundation Models and Beyond30 Mar 2024
12 newest of 32 All 32 (JSON)