Document Type

Thesis

Date of Award

5-31-2025

Degree Name

Master of Science in Data Science - (M.S.)

Department

Data Science

First Advisor

Mengjia Xu

Second Advisor

Ioannis Koutis

Third Advisor

Hai Nhat Phan

Fourth Advisor

Shuai Zhang

Abstract

Dynamic graph embedding is a key technique for modeling temporal dependencies in evolving networks. While transformer-based models perform well, their quadratic complexity limits scalability on long graph sequences. This thesis compares transformer approaches with the Mamba architecture-a linear-complexity state-space model—for temporal graph embedding.

Two frameworks are proposed: DG-Mamba and GDG-Mamba. DG-Mamba uses standard GCN-based spatial encoding, while GDG-Mamba incorporates domain-aware edge features using Graph Isomorphism Network with Edge Convolution (GraphGINE). Experiments on UCI, Reality Mining, Slashdot, Bitcoin-OTC, and SBM datasets show that Mamba-based models match or exceed transformer performance, especially on graphs with high temporal variability.

The thesis also applies GDG-Mamba to PM2.5 forecasting using the KnowAir dataset. Replacing the GRU encoder in PM2.5-GNN with a Mamba-based temporal module improves the model's ability to capture long-range dependencies in pollutant transport.

These results highlight the scalability and effectiveness of Mamba-based architectures for dynamic graph modeling and environmental forecasting.

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