Certified Signed Graph Unlearning

Fuente: arXiv
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Autores principales: Zhao, Junpeng, Li, Lin, Hu, Kaixi, Shi, Kaize, Yuan, Jingling
Formato: Preprint
Publicado: 2025
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author Zhao, Junpeng
Li, Lin
Hu, Kaixi
Shi, Kaize
Yuan, Jingling
author_facet Zhao, Junpeng
Li, Lin
Hu, Kaixi
Shi, Kaize
Yuan, Jingling
contents Signed graphs model complex relationships through positive and negative edges, with widespread real-world applications. Given the sensitive nature of such data, selective removal mechanisms have become essential for privacy protection. While graph unlearning enables the removal of specific data influences from Graph Neural Networks (GNNs), existing methods are designed for conventional GNNs and overlook the unique heterogeneous properties of signed graphs. When applied to Signed Graph Neural Networks (SGNNs), these methods lose critical sign information, degrading both model utility and unlearning effectiveness. To address these challenges, we propose Certified Signed Graph Unlearning (CSGU), which provides provable privacy guarantees while preserving the sociological principles underlying SGNNs. CSGU employs a three-stage method: (1) efficiently identifying minimal influenced neighborhoods via triangular structures, (2) applying sociological theories to quantify node importance for optimal privacy budget allocation, and (3) performing importance-weighted parameter updates to achieve certified modifications with minimal utility degradation. Extensive experiments demonstrate that CSGU outperforms existing methods, achieving superior performance in both utility preservation and unlearning effectiveness on SGNNs.
format Preprint
id arxiv_https___arxiv_org_abs_2511_14168
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Certified Signed Graph Unlearning
Zhao, Junpeng
Li, Lin
Hu, Kaixi
Shi, Kaize
Yuan, Jingling
Machine Learning
Artificial Intelligence
Signed graphs model complex relationships through positive and negative edges, with widespread real-world applications. Given the sensitive nature of such data, selective removal mechanisms have become essential for privacy protection. While graph unlearning enables the removal of specific data influences from Graph Neural Networks (GNNs), existing methods are designed for conventional GNNs and overlook the unique heterogeneous properties of signed graphs. When applied to Signed Graph Neural Networks (SGNNs), these methods lose critical sign information, degrading both model utility and unlearning effectiveness. To address these challenges, we propose Certified Signed Graph Unlearning (CSGU), which provides provable privacy guarantees while preserving the sociological principles underlying SGNNs. CSGU employs a three-stage method: (1) efficiently identifying minimal influenced neighborhoods via triangular structures, (2) applying sociological theories to quantify node importance for optimal privacy budget allocation, and (3) performing importance-weighted parameter updates to achieve certified modifications with minimal utility degradation. Extensive experiments demonstrate that CSGU outperforms existing methods, achieving superior performance in both utility preservation and unlearning effectiveness on SGNNs.
title Certified Signed Graph Unlearning
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2511.14168