most citedUnifying over-smoothing and over-squashing in graph neural networks: A physics informed approach and beyond

4 citations · 6 across the 6 of their papers we have counts for

collaborators

6 papers

cs.LG20232 cited

From Continuous Dynamics to Graph Neural Networks: Neural Diffusion and Beyond

Andi Han, Dai Shi, Lequan Lin +1

Graph neural networks (GNNs) have demonstrated significant promise in modelling relational data and have been widely applied in various fields of interest. The key mechanism behind…

physics.flu-dyn2023

Linear analysis of flow mode transition triggered by finite-sized particles in Rayleigh-Bénard convection

Dai Shi

A mathematical model to study the flow evolution in RB convection laden with finite-sized particles after a flow perturbation is developed with an Euler-Lagrange viewpoint. A linea…

physics.flu-dyn2023

Flow evolution in particle-laden Rayleigh-Bénard convection

Dai Shi

A theoretical analysis is carried out to study flow evolution inside the laminar Rayleigh-Bénard convection system laden with small particles. By describing particle dynamics and p…

cs.LG20234 cited

Unifying over-smoothing and over-squashing in graph neural networks: A physics informed approach and beyond

Zhiqi Shao, Dai Shi, Andi Han +3

Graph Neural Networks (GNNs) have emerged as one of the leading approaches for machine learning on graph-structured data. Despite their great success, critical computational challe…

cs.LG2023

Bregman Graph Neural Network

Jiayu Zhai, Lequan Lin, Dai Shi +1

Numerous recent research on graph neural networks (GNNs) has focused on formulating GNN architectures as an optimization problem with the smoothness assumption. However, in node cl…

cs.LG2023

Frameless Graph Knowledge Distillation

Dai Shi, Zhiqi Shao, Yi Guo +1

Knowledge distillation (KD) has shown great potential for transferring knowledge from a complex teacher model to a simple student model in which the heavy learning task can be acco…