Efficiently Forgetting What You Have Learned in Graph Representation Learning via Projection
On the map: LLM safety and security → Graph unlearning
Abstract (arXiv)
As privacy protection receives much attention, unlearning the effect of a specific node from a pre-trained graph learning model has become equally important. However, due to the node dependency in the graph-structured data, representation unlearning in Graph Neural Networks (GNNs) is challenging and less well explored. In this paper, we fill in this gap by first studying the unlearning problem in linear-GNNs, and then introducing its extension to non-linear structures. Given a set of nodes to unlearn, we propose PROJECTOR that unlearns by projecting the weight parameters of the pre-trained model onto a subspace that is irrelevant to features of the nodes to be forgotten. PROJECTOR could overcome the challenges caused by node dependency and enjoys a perfect data removal, i.e., the unlearned model parameters do not contain any information about the unlearned node features which is guaranteed by algorithmic construction. Empirical results on real-world datasets illustrate the effectiveness and efficiency of PROJECTOR.
Key facts. Cited by 20 papers in the map (data through 7 Oct 2026). Placed in Graph unlearning, one of 12 directions in LLM safety and security. Builds on 37 of its 56 references that are in the map. First posted on arXiv 17 Feb 2023.
Builds on
37 of 56 references.
Closest ancestors · 2
Same direction, newest first
- 2022Certified Graph Unlearning18 Jun
- 2021Graph Unlearning27 Mar
Other references · 35
- 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
- 2017Graph Attention Networkscited by 8,854
- 2017Inductive Representation Learning on Large Graphscited by 6,284
- 2018How Powerful are Graph Neural Networks?cited by 4,355
- 2021Convex optimizationcited by 2,479
- 2019Fast Graph Representation Learning with PyTorch Geometriccited by 2,414
- 2019Machine Unlearningcited by 1,020
- 2018Predict then Propagate: Graph Neural Networks meet Personalized PageRankcited by 987
- 2019Eternal Sunshine of the Spotless Net: Selective Forgetting in Deep Networkscited by 599
- 2019Certified Data Removal from Machine Learning Modelscited by 512
- 2019Making AI Forget You: Data Deletion in Machine Learningcited by 447
- 2021Remember What You Want to Forget: Algorithms for Machine Unlearningcited by 360
23 more
- 2019KGAT: Knowledge Graph Attention Network for Recommendationcited by 342
- 2020Descent-to-Delete: Gradient-Based Methods for Machine Unlearningcited by 303
- 2020Approximate Data Deletion from Machine Learning Modelscited by 250
- 2022How Powerful are Spectral Graph Neural Networkscited by 169
- 2021On the Necessity of Auditable Algorithmic Definitions for Machine Unlearningcited by 164
- 2020Mixed-Privacy Forgetting in Deep Networkscited by 158
- 2020DeltaGrad: Rapid retraining of machine learning modelscited by 143
- 2021Machine Unlearning via Algorithmic Stabilitycited by 128
- 2020Machine Unlearning for Random Forestscited by 125
- 2019Knowledge-aware Graph Neural Networks with Label Smoothness Regularization for Recommender Systemscited by 107
- 2022Decoupling the Depth and Scope of Graph Neural Networkscited by 94
- 2021Membership Inference Attack on Graph Neural Networkscited by 81
- 2022Recommendation Unlearningcited by 71
- 2021On Provable Benefits of Depth in Training Graph Convolutional Networkscited by 58
- 2022PUMA: Performance Unchanged Model Augmentation for Training Data Removalcited by 56
- 2021Bag of Tricks for Node Classification with Graph Neural Networkscited by 40
- 2020Coded Machine Unlearningcited by 35
- 2022Markov Chain Monte Carlo-Based Machine Unlearning: Unlearning What Needs to be Forgottencited by 25
- 2021Learn Locally, Correct Globally: A Distributed Algorithm for Training Graph Neural Networkscited by 24
- 2022Knowledge Removal in Sampling-based Bayesian Inferencecited by 20
- 2021DeepObliviate: A Powerful Charm for Erasing Data Residual Memory in Deep Neural Networkscited by 19
- 2020PrIU: A Provenance-Based Approach for Incrementally Updating Regression Modelscited by 16
- 2020Deep Graph Neural Networks with Shallow Subgraph Samplerscited by 16
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Citing papers per year: 2023: 6; 2024: 8; 2025: 4; 2026: 2.
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- 2023Exploring the Landscape of Machine Unlearning: A Comprehensive Survey and Taxonomycited by 44
- 2024Towards Effective and General Graph Unlearning via Mutual Evolutioncited by 29
- 2023MultiDelete for Multimodal Machine Unlearningcited by 20
- 2024MU-Bench: A Multitask Multimodal Benchmark for Machine Unlearningcited by 16
- 2024Dynamic Graph Unlearning: A General and Efficient Post-Processing Method via Gradient Transformationcited by 15
- 2023Subspace based Federated Unlearningcited by 13
- 2023Distill to Delete: Unlearning in Graph Networks with Knowledge Distillationcited by 13
- 2023DUCK: Distance-based Unlearning via Centroid Kinematicscited by 13
- 2024Scalable and Certifiable Graph Unlearning: Overcoming the Approximation Error Barriercited by 13
- 2023A Survey of Graph Unlearningcited by 12
- 2024Unlink to Unlearn: Simplifying Edge Unlearning in GNNscited by 11
- 2024Brain-inspired Artificial Intelligence: A Comprehensive Reviewcited by 8
8 more
- 2025OpenGU: A Comprehensive Benchmark for Graph Unlearningcited by 8
- 2024"Forgetting" in Machine Learning and Beyond: A Surveycited by 2
- 2025Toward Scalable Graph Unlearning: A Node Influence Maximization based Approachcited by 2
- 2024GraphMU: Repairing Robustness of Graph Neural Networks via Machine Unlearningcited by 1
- 2026Spatial Entropy based Partitioning for Spatiotemporal Graph Unlearningcited by 1
- 2025Unlearning Algorithmic Biases over Graphscited by 0
- 2025Graph Unlearning via Embedding Reconstruction -- A Range-Null Space Decomposition Approachcited by 0
- 2026CUNO: Curriculum and Preference Optimization for Stable Graph Unlearning under Mass Deletioncited by 0
- 2026CUNO: Curriculum and Preference Optimization for Stable Graph Unlearning under Mass Deletion8 Sep 2026
- 2026Spatial Entropy based Partitioning for Spatiotemporal Graph Unlearning29 Aug 2026
- 2025Graph Unlearning via Embedding Reconstruction -- A Range-Null Space Decomposition Approach4 Aug 2025
- 2025Unlearning Algorithmic Biases over Graphs20 May 2025
- 2025Toward Scalable Graph Unlearning: A Node Influence Maximization based Approach21 Jan 2025
- 2025OpenGU: A Comprehensive Benchmark for Graph Unlearning6 Jan 2025
- 2024Brain-inspired Artificial Intelligence: A Comprehensive Review27 Aug 2024
- 2024Scalable and Certifiable Graph Unlearning: Overcoming the Approximation Error Barrier17 Aug 2024
- 2024MU-Bench: A Multitask Multimodal Benchmark for Machine Unlearning21 Jun 2024
- 2024GraphMU: Repairing Robustness of Graph Neural Networks via Machine Unlearning19 Jun 2024
- 2024"Forgetting" in Machine Learning and Beyond: A Survey31 May 2024
- 2024Dynamic Graph Unlearning: A General and Efficient Post-Processing Method via Gradient Transformation23 May 2024
8 more
- 2024Unlink to Unlearn: Simplifying Edge Unlearning in GNNs16 Feb 2024
- 2024Towards Effective and General Graph Unlearning via Mutual Evolution22 Jan 2024
- 2023DUCK: Distance-based Unlearning via Centroid Kinematics4 Dec 2023
- 2023MultiDelete for Multimodal Machine Unlearning18 Nov 2023
- 2023Distill to Delete: Unlearning in Graph Networks with Knowledge Distillation28 Sep 2023
- 2023A Survey of Graph Unlearning23 Aug 2023
- 2023Exploring the Landscape of Machine Unlearning: A Comprehensive Survey and Taxonomy10 May 2023
- 2023Subspace based Federated Unlearning24 Feb 2023
- 2023Exploring the Landscape of Machine Unlearning: A Comprehensive Survey and Taxonomycited by 44
- 2024Towards Effective and General Graph Unlearning via Mutual Evolutioncited by 29
- 2023MultiDelete for Multimodal Machine Unlearningcited by 20
- 2024MU-Bench: A Multitask Multimodal Benchmark for Machine Unlearningcited by 16
- 2024Dynamic Graph Unlearning: A General and Efficient Post-Processing Method via Gradient Transformationcited by 15
- 2023Subspace based Federated Unlearningcited by 13
- 2023Distill to Delete: Unlearning in Graph Networks with Knowledge Distillationcited by 13
- 2023DUCK: Distance-based Unlearning via Centroid Kinematicscited by 13
- 2024Scalable and Certifiable Graph Unlearning: Overcoming the Approximation Error Barriercited by 13
- 2023A Survey of Graph Unlearningcited by 12
- 2025OpenGU: A Comprehensive Benchmark for Graph Unlearningcited by 8
- 2025Toward Scalable Graph Unlearning: A Node Influence Maximization based Approachcited by 2
12 most cited of 15 All 15 (JSON)
- 2026Spatial Entropy based Partitioning for Spatiotemporal Graph Unlearning29 Aug 2026
- 2025Graph Unlearning via Embedding Reconstruction -- A Range-Null Space Decomposition Approach4 Aug 2025
- 2025Unlearning Algorithmic Biases over Graphs20 May 2025
- 2025Toward Scalable Graph Unlearning: A Node Influence Maximization based Approach21 Jan 2025
- 2025OpenGU: A Comprehensive Benchmark for Graph Unlearning6 Jan 2025
- 2024Scalable and Certifiable Graph Unlearning: Overcoming the Approximation Error Barrier17 Aug 2024
- 2024MU-Bench: A Multitask Multimodal Benchmark for Machine Unlearning21 Jun 2024
- 2024Dynamic Graph Unlearning: A General and Efficient Post-Processing Method via Gradient Transformation23 May 2024
- 2024Towards Effective and General Graph Unlearning via Mutual Evolution22 Jan 2024
- 2023DUCK: Distance-based Unlearning via Centroid Kinematics4 Dec 2023
- 2023MultiDelete for Multimodal Machine Unlearning18 Nov 2023
- 2023Distill to Delete: Unlearning in Graph Networks with Knowledge Distillation28 Sep 2023
12 newest of 15 All 15 (JSON)
- 2024Unlink to Unlearn: Simplifying Edge Unlearning in GNNscited by 11
- 2024Brain-inspired Artificial Intelligence: A Comprehensive Reviewcited by 8
- 2024"Forgetting" in Machine Learning and Beyond: A Surveycited by 2
- 2024GraphMU: Repairing Robustness of Graph Neural Networks via Machine Unlearningcited by 1
- 2024Brain-inspired Artificial Intelligence: A Comprehensive Review27 Aug 2024
- 2024GraphMU: Repairing Robustness of Graph Neural Networks via Machine Unlearning19 Jun 2024
- 2024"Forgetting" in Machine Learning and Beyond: A Survey31 May 2024
- 2024Unlink to Unlearn: Simplifying Edge Unlearning in GNNs16 Feb 2024