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PSMEKL: Positional and structural multiple empirical kernel learning for node embedding

delete2026-03-25
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PRE
AI
Z
Zonghai Zhu *
X
Xinshuai Wei
H
Huanlai Xing
L
Li Feng
D
De Chen
Y
Yuge Xu
DOI:10.1016/j.neunet.2026.108898delete
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Abstract

Abstract

En 中文
Graph Neural Networks (GNNs) are powerful for processing graph-structured data, where nodes are linked through edges. Generally, incorporating positional and structural information into node embeddings can capture distribution characteristics of nodes. However, traditional GNNs struggle to perfectly capture both types of information simultaneously. Moreover, existing node embedding methods struggle to handle both attributed and non-attributed graphs simultaneously. To this end, we propose Positional and Structural Multiple Empirical Kernel Learning (PSMEKL), a method that enhances node feature representations by incorporating positional and structural information. PSMEKL integrates kernel mapping and community detection to capture both positional relationships and global graph structures, optimizing a dedicated criterion function to generate effective node embeddings for both attributed and non-attributed graphs. This approach enhances the distinction between nodes with different structures while ensuring that nodes with similar connectivity patterns share similar embedding features. Extensive experiments confirm that preprocessing node features with PSMEKL significantly improves GNN performance. The code for PSMEKL is available at https://github.com/ZonghaiZhu/PSMEKL .
Keywords:
Graph Neural Networks
Node Embedding
Positional Information
Structural Information
Kernel Learning

Journal

Neural Networks cover
Neural Networks
IF:
6.3
Papers:
7.8K
Citations:
3.0W

Organization

S
Southwest Jiaotong University
Scholars:
2.9W
Papers: 2.1W
Citations: 2.3W
S
South China University of Technology
Scholars:
2.3K
Papers: 853
Citations: 8.3W