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Learning Dynamic Graph Embeddings with Neural Controlled Differential Equations

Created by
  • Haebom

Author

Tiexin Qin, Benjamin Walker, Terry Lyons, Hong Yan, Haoliang Li

Outline

This paper focuses on representation learning for dynamic graphs with temporal interactions. Both graph structures and nodes possess inherent dynamic properties, and their combination introduces intractable complexity into the temporal evolution of graphs. Building on recent advances in physical dynamic models in deep neural networks, this paper proposes Graph Neural Controlled Differential Equations (GN-CDEs). This continuous-time framework integrates graph-reinforced neural network vector fields as control signals for time-varying graph trajectories, jointly modeling node embeddings and structural dynamic properties. The proposed framework represents dynamic properties in evolving graphs without piecewise integration, corrects trajectories with subsequent data, and is robust to missing observations. Experimental evaluations on various dynamic graph representation learning tasks demonstrate that the proposed approach effectively captures the complex dynamic properties of dynamic graphs.

Takeaways, Limitations

Takeaways:
Modeling the complex temporal dynamics of dynamic graphs through a continuous-time framework.
It can express the dynamic characteristics of evolving graphs without piecewise integration.
Provides the ability to correct trajectories using follow-up data.
Robust to missing observations.
It has proven effective in various dynamic graph representation learning tasks.
Limitations:
There is no specific mention of Limitations in the paper.
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