Re-understanding Graph Unlearning through Memorization
On the map: LLM safety and security → Graph unlearning
Abstract (arXiv)
Graph unlearning (GU), which removes nodes, edges, or features from trained graph neural networks (GNNs), is crucial in Web applications where graph data may contain sensitive, mislabeled, or malicious information. However, existing GU methods lack a clear understanding of the key factors that determine unlearning effectiveness, leading to three fundamental limitations: (1) impractical and inaccurate GU difficulty assessment due to test-access requirements and invalid assumptions, (2) ineffectiveness on hard-to-unlearn tasks, and (3) misaligned evaluation protocols that overemphasize easy tasks and fail to capture true forgetting capability. To address these issues, we establish GNN memorization as a new perspective for understanding graph unlearning and propose MGU, a Memorization-guided Graph Unlearning framework. MGU achieves three key advances: it provides accurate and practical difficulty assessment across different GU tasks, develops an adaptive strategy that dynamically adjusts unlearning objectives based on difficulty levels, and establishes a comprehensive evaluation protocol that aligns with practical requirements. Extensive experiments on ten real-world graphs demonstrate that MGU consistently outperforms state-of-the-art baselines in forgetting quality, computational efficiency, and utility preservation.
Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Placed in Graph unlearning, one of 12 directions in LLM safety and security. Builds on 29 of its 47 references that are in the map. First posted on arXiv 21 Jan 2026.
Builds on
29 of 47 references.
Closest ancestors · 10
Same direction, newest first
- 2025Adaptive Graph Unlearning19 May
- 2025Toward Scalable Graph Unlearning: A Node Influence Maximization based Approach21 Jan
- 2025OpenGU: A Comprehensive Benchmark for Graph Unlearning6 Jan
- 2024Erase then Rectify: A Training-Free Parameter Editing Approach for Cost-Effective Graph Unlearning25 Sep
- 2024Graph Unlearning with Efficient Partial Retraining12 Mar
- 2024Towards Effective and General Graph Unlearning via Mutual Evolution22 Jan
- 2023Distill to Delete: Unlearning in Graph Networks with Knowledge Distillation28 Sep
- 2023Inductive Graph Unlearning6 Apr
- 2023GIF: A General Graph Unlearning Strategy via Influence Function6 Apr
- 2021Graph Unlearning27 Mar
Other references · 19
- 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,361
- 2017Graph Attention Networkscited by 8,923
- 2017Inductive Representation Learning on Large Graphscited by 6,320
- 2018How Powerful are Graph Neural Networks?cited by 4,393
- 2020Open Graph Benchmark: Datasets for Machine Learning on Graphscited by 2,163
- 2018Pitfalls of Graph Neural Network Evaluationcited by 1,007
- 2016Revisiting Semi-Supervised Learning with Graph Embeddingscited by 976
- 2017A Closer Look at Memorization in Deep Networkscited by 942
- 2020What Neural Networks Memorize and Why: Discovering the Long Tail via Influence Estimationcited by 497
- 2021Beyond Low-frequency Information in Graph Convolutional Networkscited by 362
- 2021Membership Inference Attacks on Machine Learning: A Surveycited by 321
- 2016Large-Margin Softmax Loss for Convolutional Neural Networkscited by 296
7 more
- 2024What makes unlearning hard and what to do about itcited by 89
- 2021A Review on Graph Neural Network Methods in Financial Applicationscited by 78
- 2022A Survey of Graph Neural Networks for Social Recommender Systemscited by 65
- 2024Are we making progress in unlearning? Findings from the first NeurIPS unlearning competitioncited by 50
- 2022TAM: Topology-Aware Margin Loss for Class-Imbalanced Node Classificationcited by 41
- 2024Comparing the Pearson and Spearman Correlation Coefficients Across Distributions and Sample Sizes: A Tutorial Using Simulations and Empirical Datacited by 16
- 2024Unlink to Unlearn: Simplifying Edge Unlearning in GNNscited by 11
Built on by
Citing papers per year: 2026: 2.
2 papers.
Similar, not cited
Close in wording, no citation either way
- 2022Certified Graph Unlearning
- 2025Forget and Explain: Transparent Verification of GNN Unlearning
- 2023GNNDelete: A General Strategy for Unlearning in Graph Neural Networks
- 2024Community-Centric Graph Unlearning
- 2024A Cognac Shot To Forget Bad Memories: Corrective Unlearning for Graph Neural Networks
- 2023A Survey of Graph Unlearning
- 2025Unlearning Inversion Attacks for Graph Neural Networks
- 2025Graph Unlearning: Efficient Node Removal in Graph Neural Networks