Graph Neural Networks

Research explainers on graph neural networks — GCNs, GATs, message passing, and graph-based representation learning.

Orthogonal Bases for Equivariant Graph Learning with Provable k-WL Expressive Power.

Orthogonal Bases for Equivariant Graph Learning with Provable k-WL Expressive Power

Jia He and Maggie X. Cheng from Illinois Institute of Technology have found a way to build GNNs with the same k-WL and k-FWL expressive power as the best known high-order networks — using a fraction of the parameters and…

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Improving Graph Neural Networks on Multi-node Tasks with the Labeling Trick

Improving Graph Neural Networks on Multi-node Tasks with the Labeling Trick

A team from Peking University and Georgia Tech has built a formal theory explaining why the most widely used GNN approach to multi-node tasks breaks down — and proved that a simple but principled labeling strategy solves the problem completely.

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PEGN: How Persistent Homology Breaks the WL Barrier in Graph Neural Networks.

PEGN: How Persistent Homology Breaks the WL Barrier in Graph Neural Networks

A multi-institution team spanning Peking University, UC San Diego, Stony Brook University, and Weill Cornell Medicine built PEGN — a framework that injects localized topological features from extended persistent homology into graph neural networks, pushing expressiveness beyond the 3-WL barrier…

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DCPGCN: Dynamic Curvature Pooling in Hyperbolic Space for Multi-Sensor RUL Prediction.

DCPGCN: Dynamic Curvature Pooling in Hyperbolic Space for Multi-Sensor RUL Prediction

A team at Chongqing University built a graph neural network that embeds multi-sensor degradation data into hyperbolic space — where the geometry naturally fits hierarchical structures — and dynamically adapts the curvature of that space during training to match the…

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Causal Graph Neural Networks for Wildfire Forecasting Across Geographic Shifts.

Causal Graph Neural Networks for Wildfire Forecasting Across Geographic Shifts

Shan Zhao, Ioannis Prapas, and their colleagues at TU Munich and the National Observatory of Athens built a causally informed graph neural network that forecasts burned areas with 64% lower prediction variance and outperforms correlation-based baselines by 2–5 AUROC points…

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Framework of the proposed IB-D2GAT

IB-D2GAT: How Information Bottleneck Theory Revolutionizes Dynamic Graph Learning Under Distribution Shifts

In an era where financial transactions occur in milliseconds, social networks reshape human interaction by the minute, and traffic patterns shift with unpredictable urban dynamics, dynamic graph neural networks (DyGNNs) have emerged as essential tools for modeling real-world systems. Unlike…

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Hierarchical Graph Attention Networks: Revolutionizing Knowledge Graph Completion for Smart Manufacturing Systems

Hierarchical Graph Attention Networks: Revolutionizing Knowledge Graph Completion for Smart Manufacturing Systems

In today’s rapidly evolving industrial landscape, product design and manufacturing systems (PDMS) face an unprecedented challenge: making sense of vast, interconnected data while dealing with incomplete knowledge bases. Knowledge graphs have emerged as the backbone of intelligent manufacturing, structuring complex…

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EDEN Distills a Directed Graph's Own Hierarchy Into Better GNN Predictions

EDEN Distills a Directed Graph’s Own Hierarchy Into Better GNN Predictions

Graph neural networks have posted strong results on node classification, link prediction and graph level tasks for years now, but the field’s research energy has overwhelmingly gone into model architecture. New attention mechanisms, new convolution operators, new ways of combining…

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