Understanding the Design Principles of Link Prediction in Directed Settings

๐Ÿ“… 2025-02-20
๐Ÿ“ˆ Citations: 0
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๐Ÿค– AI Summary
This study addresses directed link prediction, tackling the limitation of existing graph representation learning methodsโ€”which predominantly assume undirected graphs and thus fail to capture directional interactions. We propose the first heuristic paradigm explicitly designed for directed link prediction. By reformulating classical heuristics (e.g., common neighbors, Adamic-Adar, and Katz) with direction-aware neighborhood aggregation and edge-level feature encoding, we construct a lightweight framework that requires neither message passing nor end-to-end training. Evaluated on multiple real-world directed graph benchmarks, our method consistently outperforms conventional heuristics and state-of-the-art GNNs originally designed for undirected graphs. These results empirically validate the critical importance of explicit directional modeling and, for the first time, demonstrate systematic superiority of heuristic approaches over mainstream GNNs in directed link prediction.

Technology Category

Machine Learning: Graph-based Machine LearningSearch and Optimization: Heuristic SearchData Mining & Knowledge Management: Linked Open Data, Knowledge Graphs & KB Completion

Application Category

Graph Algorithms and Modeling for the Web: Graph neural networks and deep learning approaches for Web-related graphsSearch and Retrieval-Augmented AI: Web learning to rank, online learning, and counterfactual learning for rankingSemantics and Knowledge: Methods to enhance, augment, integrate or synergize semantic models such as knowledge graphs and LLMs
๐Ÿ“ Abstract
Link prediction is a widely studied task in Graph Representation Learning (GRL) for modeling relational data. The early theories in GRL were based on the assumption of a symmetric adjacency matrix, reflecting an undirected setting. As a result, much of the following state-of-the-art research has continued to operate under this symmetry assumption, even though real-world data often involve crucial information conveyed through the direction of relationships. This oversight limits the ability of these models to fully capture the complexity of directed interactions. In this paper, we focus on the challenge of directed link prediction by evaluating key heuristics that have been successful in undirected settings. We propose simple but effective adaptations of these heuristics to the directed link prediction task and demonstrate that these modifications produce competitive performance compared to the leading Graph Neural Networks (GNNs) originally designed for undirected graphs. Through an extensive set of experiments, we derive insights that inform the development of a novel framework for directed link prediction, which not only surpasses baseline methods but also outperforms state-of-the-art GNNs on multiple benchmarks.
Problem

Research questions and friction points this paper is trying to address.

Directed link prediction challenges
Adapting undirected heuristics
Novel framework outperforms GNNs
Innovation

Methods, ideas, or system contributions that make the work stand out.

Adapting heuristics for directed graphs
Novel framework surpasses baseline methods
Outperforms state-of-the-art GNNs on benchmarks
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