A Review of Dynamic Network Models with Latent Variables
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Abstract (arXiv)
We present a selective review of statistical modeling of dynamic networks. We focus on models with latent variables, specifically, the latent space models and the latent class models (or stochastic blockmodels), which investigate both the observed features and the unobserved structure of networks. We begin with an overview of the static models, and then we introduce the dynamic extensions. For each dynamic model, we also discuss its applications that have been studied in the literature, with the data source listed in Appendix. Based on the review, we summarize a list of open problems and challenges in dynamic network modeling with latent variables.
Key facts. Cited by 18 papers in the map (data through 7 Oct 2026). First posted on arXiv 13 Nov 2017.
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Citing papers per year: 2021: 4; 2022: 4; 2023: 2; 2024: 5; 2025: 2; 2026: 1.
18 papers.
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- 2023Latent State Models of Training Dynamicscited by 15
- 2021Spectral embedding for dynamic networks with stability guaranteescited by 13
- 2022Piecewise-Velocity Model for Learning Continuous-time Dynamic Node Representationscited by 10
- 2022A Hierarchical Block Distance Model for Ultra Low-Dimensional Graph Representationscited by 9
- 2023Characterizing Polarization in Social Networks using the Signed Relational Latent Distance Modelcited by 9
- 2021Continuous Latent Position Models for Instantaneous Interactionscited by 8
- 2021Network Estimation by Mixing: Adaptivity and Morecited by 4
- 2024Gaussian Embedding of Temporal Networkscited by 3
- 2024Transfer Learning for Latent Variable Network Modelscited by 3
- 2024Transition Network Analysis: A Novel Framework for Modeling, Visualizing, and Identifying the Temporal Patterns of Learners and Learning Processescited by 3
- 2021A Latent Space Model for Multilayer Network Datacited by 2
- 2022SimHawNet: A Modified Hawkes Process for Temporal Network Simulationcited by 1
6 more
- 2024Enhanced Safety in Autonomous Driving: Integrating Latent State Diffusion Model for End-to-End Navigationcited by 1
- 2025Strongly Consistent Community Detection in Popularity Adjusted Block Modelscited by 1
- 2022Efficient Estimation for Longitudinal Networks via Adaptive Mergingcited by 0
- 2024Time to Cite: Modeling Citation Networks using the Dynamic Impact Single-Event Embedding Modelcited by 0
- 2025Unsupervised Attributed Dynamic Network Embedding with Stability Guaranteescited by 0
- 2026Nonparametric estimation of time-varying network connections by multi-stage smoothingcited by 0
- 2026Nonparametric estimation of time-varying network connections by multi-stage smoothing7 May 2026
- 2025Strongly Consistent Community Detection in Popularity Adjusted Block Models8 Jun 2025
- 2025Unsupervised Attributed Dynamic Network Embedding with Stability Guarantees4 Mar 2025
- 2024Transition Network Analysis: A Novel Framework for Modeling, Visualizing, and Identifying the Temporal Patterns of Learners and Learning Processes23 Nov 2024
- 2024Enhanced Safety in Autonomous Driving: Integrating Latent State Diffusion Model for End-to-End Navigation8 Jul 2024
- 2024Transfer Learning for Latent Variable Network Models5 Jun 2024
- 2024Gaussian Embedding of Temporal Networks27 May 2024
- 2024Time to Cite: Modeling Citation Networks using the Dynamic Impact Single-Event Embedding Model28 Feb 2024
- 2023Latent State Models of Training Dynamics18 Aug 2023
- 2023Characterizing Polarization in Social Networks using the Signed Relational Latent Distance Model23 Jan 2023
- 2022Piecewise-Velocity Model for Learning Continuous-time Dynamic Node Representations23 Dec 2022
- 2022Efficient Estimation for Longitudinal Networks via Adaptive Merging15 Nov 2022
6 more
- 2022A Hierarchical Block Distance Model for Ultra Low-Dimensional Graph Representations12 Apr 2022
- 2022SimHawNet: A Modified Hawkes Process for Temporal Network Simulation14 Mar 2022
- 2021Network Estimation by Mixing: Adaptivity and More5 Jun 2021
- 2021Spectral embedding for dynamic networks with stability guarantees2 Jun 2021
- 2021Continuous Latent Position Models for Instantaneous Interactions31 Mar 2021
- 2021A Latent Space Model for Multilayer Network Data18 Feb 2021
- 2023Latent State Models of Training Dynamicscited by 15
- 2021Spectral embedding for dynamic networks with stability guaranteescited by 13
- 2022Piecewise-Velocity Model for Learning Continuous-time Dynamic Node Representationscited by 10
- 2022A Hierarchical Block Distance Model for Ultra Low-Dimensional Graph Representationscited by 9
- 2023Characterizing Polarization in Social Networks using the Signed Relational Latent Distance Modelcited by 9
- 2021Continuous Latent Position Models for Instantaneous Interactionscited by 8
- 2021Network Estimation by Mixing: Adaptivity and Morecited by 4
- 2024Gaussian Embedding of Temporal Networkscited by 3
- 2024Transfer Learning for Latent Variable Network Modelscited by 3
- 2024Transition Network Analysis: A Novel Framework for Modeling, Visualizing, and Identifying the Temporal Patterns of Learners and Learning Processescited by 3
- 2021A Latent Space Model for Multilayer Network Datacited by 2
- 2022SimHawNet: A Modified Hawkes Process for Temporal Network Simulationcited by 1
12 most cited of 17 All 17 (JSON)
- 2026Nonparametric estimation of time-varying network connections by multi-stage smoothing7 May 2026
- 2025Strongly Consistent Community Detection in Popularity Adjusted Block Models8 Jun 2025
- 2025Unsupervised Attributed Dynamic Network Embedding with Stability Guarantees4 Mar 2025
- 2024Transition Network Analysis: A Novel Framework for Modeling, Visualizing, and Identifying the Temporal Patterns of Learners and Learning Processes23 Nov 2024
- 2024Transfer Learning for Latent Variable Network Models5 Jun 2024
- 2024Gaussian Embedding of Temporal Networks27 May 2024
- 2024Time to Cite: Modeling Citation Networks using the Dynamic Impact Single-Event Embedding Model28 Feb 2024
- 2023Latent State Models of Training Dynamics18 Aug 2023
- 2023Characterizing Polarization in Social Networks using the Signed Relational Latent Distance Model23 Jan 2023
- 2022Piecewise-Velocity Model for Learning Continuous-time Dynamic Node Representations23 Dec 2022
- 2022Efficient Estimation for Longitudinal Networks via Adaptive Merging15 Nov 2022
- 2022A Hierarchical Block Distance Model for Ultra Low-Dimensional Graph Representations12 Apr 2022
12 newest of 17 All 17 (JSON)