Graph Neural Flows for Unveiling Systemic Interactions Among Irregularly Sampled Time Series
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Abstract (arXiv)
Interacting systems are prevalent in nature. It is challenging to accurately predict the dynamics of the system if its constituent components are analyzed independently. We develop a graph-based model that unveils the systemic interactions of time series observed at irregular time points, by using a directed acyclic graph to model the conditional dependencies (a form of causal notation) of the system components and learning this graph in tandem with a continuous-time model that parameterizes the solution curves of ordinary differential equations (ODEs). Our technique, a graph neural flow, leads to substantial enhancements over non-graph-based methods, as well as graph-based methods without the modeling of conditional dependencies. We validate our approach on several tasks, including time series classification and forecasting, to demonstrate its efficacy.
Key facts. Cited by 15 papers in the map (data through 14 Oct 2026). Builds on 32 of its 50 references that are in the map. First posted on arXiv 17 Oct 2024.
Builds on
32 of 50 references.
References · 32
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- 2019A Comprehensive Survey on Graph Neural Networkscited by 2,919
- 2016Density estimation using Real NVPcited by 2,042
- 2018Graph Neural Networks: A Review of Methods and Applicationscited by 1,576
- 2019Normalizing Flows for Probabilistic Modeling and Inferencecited by 1,323
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- 2018DAGs with NO TEARS: Continuous Optimization for Structure Learningcited by 752
- 2016Recurrent Neural Networks for Multivariate Time Series with Missing Valuescited by 554
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- 2018Neural Relational Inference for Interacting Systemscited by 339
20 more
- 2019DAG-GNN: DAG Structure Learning with Graph Neural Networkscited by 331
- 2018Regularisation of Neural Networks by Enforcing Lipschitz Continuitycited by 314
- 2019GRU-ODE-Bayes: Continuous modeling of sporadically-observed time seriescited by 231
- 2019Latent ODEs for Irregularly-Sampled Time Seriescited by 183
- 2021Discrete Graph Structure Learning for Forecasting Multiple Time Seriescited by 171
- 2019Graph Neural Ordinary Differential Equationscited by 154
- 2021Graph Neural Controlled Differential Equations for Traffic Forecastingcited by 133
- 2021Modeling Irregular Time Series with Continuous Recurrent Unitscited by 103
- 2021Neural Flows: Efficient Alternative to Neural ODEscited by 101
- 2022Multivariate Time Series Forecasting with Dynamic Graph Neural ODEscited by 72
- 2020Learning Continuous System Dynamics from Irregularly-Sampled Partial Observationscited by 61
- 2023Joint Bayesian Inference of Graphical Structure and Parameters with a Single Generative Flow Networkcited by 50
- 2022Graph-Augmented Normalizing Flows for Anomaly Detection of Multiple Time Seriescited by 42
- 2022Bayesian learning of Causal Structure and Mechanisms with GFlowNets and Variational Bayescited by 30
- 2020On Low Rank Directed Acyclic Graphs and Causal Structure Learningcited by 23
- 2023CF-GODE: Continuous-Time Causal Inference for Multi-Agent Dynamical Systemscited by 16
- 2015Cascading Power Outages Propagate Locally in an Influence Graph that is not the Actual Grid Topologycited by 9
- 2023Inferring dynamic regulatory interaction graphs from time series data with perturbationscited by 9
- 2024Hybrid Top-Down Global Causal Discovery with Local Search for Linear and Nonlinear Additive Noise Modelscited by 5
- 2024Coordinated Multi-Neighborhood Learning on a Directed Acyclic Graphcited by 1
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Citing papers per year: 2025: 5; 2026: 10.
15 papers.
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- 2025Rethinking Irregular Time Series Forecasting: A Simple yet Effective Baselinecited by 55
- 2025HyperIMTS: Hypergraph Neural Network for Irregular Multivariate Time Series Forecastingcited by 15
- 2025Graph ODEs and Beyond: A Comprehensive Survey on Integrating Differential Equations with Graph Neural Networkscited by 14
- 2026Bridging Time and Frequency: A Joint Modeling Framework for Irregular Multivariate Time Series Forecastingcited by 9
- 2025ASTGI: Adaptive Spatio-Temporal Graph Interactions for Irregular Multivariate Time Series Forecastingcited by 8
- 2026TiWeaver: Unified Temporal Dynamics Modeling via Contextual Patchingcited by 2
- 2025Towards Robust Real-World Multivariate Time Series Forecasting: A Unified Framework for Dependency, Asynchrony, and Missingnesscited by 1
- 2026MM-ISTS: Cooperating Irregularly Sampled Time Series Forecasting with Multimodal Vision-Text LLMscited by 1
- 2026One-Step Graph-Structured Neural Flows for Irregular Multivariate Time Series Classificationcited by 1
- 2026Enhancing Irregular Time Series Forecasting with Continuous-Time Modeling Frameworkcited by 1
- 2026Learning Recursive Multi-Scale Representations for Irregular Multivariate Time Series Forecastingcited by 0
- 2026MissHyper: Restoring Clinical Synchronicity in Missingness-Guided Hypergraph Forecastingcited by 0
3 more
- 2026Rethinking Irregular Time Series Forecasting from the Perspective of Basis Functionscited by 0
- 2026BITS: Rethinking Fair and Comprehensive Evaluation for Irregular Time Series Forecastingcited by 0
- 2026QiYao-I: A Manifold Based Foundation Model for Irregular Multivariate Time Series Forecastingcited by 0
- 2026QiYao-I: A Manifold Based Foundation Model for Irregular Multivariate Time Series Forecasting3 Oct 2026
- 2026BITS: Rethinking Fair and Comprehensive Evaluation for Irregular Time Series Forecasting27 Sep 2026
- 2026Rethinking Irregular Time Series Forecasting from the Perspective of Basis Functions18 Aug 2026
- 2026Enhancing Irregular Time Series Forecasting with Continuous-Time Modeling Framework30 Jul 2026
- 2026MissHyper: Restoring Clinical Synchronicity in Missingness-Guided Hypergraph Forecasting24 Jul 2026
- 2026TiWeaver: Unified Temporal Dynamics Modeling via Contextual Patching2 Jun 2026
- 2026One-Step Graph-Structured Neural Flows for Irregular Multivariate Time Series Classification11 May 2026
- 2026MM-ISTS: Cooperating Irregularly Sampled Time Series Forecasting with Multimodal Vision-Text LLMs6 Mar 2026
- 2026Learning Recursive Multi-Scale Representations for Irregular Multivariate Time Series Forecasting25 Feb 2026
- 2026Bridging Time and Frequency: A Joint Modeling Framework for Irregular Multivariate Time Series Forecasting31 Jan 2026
- 2025ASTGI: Adaptive Spatio-Temporal Graph Interactions for Irregular Multivariate Time Series Forecasting27 Sep 2025
- 2025Towards Robust Real-World Multivariate Time Series Forecasting: A Unified Framework for Dependency, Asynchrony, and Missingness10 Jun 2025
3 more
- 2025HyperIMTS: Hypergraph Neural Network for Irregular Multivariate Time Series Forecasting23 May 2025
- 2025Rethinking Irregular Time Series Forecasting: A Simple yet Effective Baseline16 May 2025
- 2025Graph ODEs and Beyond: A Comprehensive Survey on Integrating Differential Equations with Graph Neural Networks29 Mar 2025
- 2025Rethinking Irregular Time Series Forecasting: A Simple yet Effective Baselinecited by 55
- 2025HyperIMTS: Hypergraph Neural Network for Irregular Multivariate Time Series Forecastingcited by 15
- 2025Graph ODEs and Beyond: A Comprehensive Survey on Integrating Differential Equations with Graph Neural Networkscited by 14
- 2026Bridging Time and Frequency: A Joint Modeling Framework for Irregular Multivariate Time Series Forecastingcited by 9
- 2025ASTGI: Adaptive Spatio-Temporal Graph Interactions for Irregular Multivariate Time Series Forecastingcited by 8
- 2026TiWeaver: Unified Temporal Dynamics Modeling via Contextual Patchingcited by 2
- 2025Towards Robust Real-World Multivariate Time Series Forecasting: A Unified Framework for Dependency, Asynchrony, and Missingnesscited by 1
- 2026MM-ISTS: Cooperating Irregularly Sampled Time Series Forecasting with Multimodal Vision-Text LLMscited by 1
- 2026One-Step Graph-Structured Neural Flows for Irregular Multivariate Time Series Classificationcited by 1
- 2026Enhancing Irregular Time Series Forecasting with Continuous-Time Modeling Frameworkcited by 1
- 2026Learning Recursive Multi-Scale Representations for Irregular Multivariate Time Series Forecastingcited by 0
- 2026MissHyper: Restoring Clinical Synchronicity in Missingness-Guided Hypergraph Forecastingcited by 0
12 most cited of 15 All 15 (JSON)
- 2026QiYao-I: A Manifold Based Foundation Model for Irregular Multivariate Time Series Forecasting3 Oct 2026
- 2026BITS: Rethinking Fair and Comprehensive Evaluation for Irregular Time Series Forecasting27 Sep 2026
- 2026Rethinking Irregular Time Series Forecasting from the Perspective of Basis Functions18 Aug 2026
- 2026Enhancing Irregular Time Series Forecasting with Continuous-Time Modeling Framework30 Jul 2026
- 2026MissHyper: Restoring Clinical Synchronicity in Missingness-Guided Hypergraph Forecasting24 Jul 2026
- 2026TiWeaver: Unified Temporal Dynamics Modeling via Contextual Patching2 Jun 2026
- 2026One-Step Graph-Structured Neural Flows for Irregular Multivariate Time Series Classification11 May 2026
- 2026MM-ISTS: Cooperating Irregularly Sampled Time Series Forecasting with Multimodal Vision-Text LLMs6 Mar 2026
- 2026Learning Recursive Multi-Scale Representations for Irregular Multivariate Time Series Forecasting25 Feb 2026
- 2026Bridging Time and Frequency: A Joint Modeling Framework for Irregular Multivariate Time Series Forecasting31 Jan 2026
- 2025ASTGI: Adaptive Spatio-Temporal Graph Interactions for Irregular Multivariate Time Series Forecasting27 Sep 2025
- 2025Towards Robust Real-World Multivariate Time Series Forecasting: A Unified Framework for Dependency, Asynchrony, and Missingness10 Jun 2025
12 newest of 15 All 15 (JSON)