Outlier Aware Network Embedding for Attributed Networks
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Abstract (arXiv)
Attributed network embedding has received much interest from the research community as most of the networks come with some content in each node, which is also known as node attributes. Existing attributed network approaches work well when the network is consistent in structure and attributes, and nodes behave as expected. But real world networks often have anomalous nodes. Typically these outliers, being relatively unexplainable, affect the embeddings of other nodes in the network. Thus all the downstream network mining tasks fail miserably in the presence of such outliers. Hence an integrated approach to detect anomalies and reduce their overall effect on the network embedding is required. Towards this end, we propose an unsupervised outlier aware network embedding algorithm (ONE) for attributed networks, which minimizes the effect of the outlier nodes, and hence generates robust network embeddings. We align and jointly optimize the loss functions coming from structure and attributes of the network. To the best of our knowledge, this is the first generic network embedding approach which incorporates the effect of outliers for an attributed network without any supervision. We experimented on publicly available real networks and manually planted different types of outliers to check the performance of the proposed algorithm. Results demonstrate the superiority of our approach to detect the network outliers compared to the state-of-the-art approaches. We also consider different downstream machine learning applications on networks to show the efficiency of ONE as a generic network embedding technique. The source code is made available at https://github.com/sambaranban/ONE.
Key facts. Cited by 29 papers in the map (data through 7 Oct 2026). First posted on arXiv 19 Nov 2018.
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Citing papers per year: 2021: 7; 2022: 5; 2023: 4; 2024: 6; 2025: 4; 2026: 3.
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- 2021A Comprehensive Survey on Graph Anomaly Detection with Deep Learningcited by 230
- 2022Rethinking Graph Neural Networks for Anomaly Detectioncited by 185
- 2022BOND: Benchmarking Unsupervised Outlier Node Detection on Static Attributed Graphscited by 80
- 2021Few-shot Network Anomaly Detection via Cross-network Meta-learningcited by 64
- 2023GAD-NR: Graph Anomaly Detection via Neighborhood Reconstructioncited by 44
- 2021Hop-Count Based Self-Supervised Anomaly Detection on Attributed Networkscited by 31
- 2022PyGOD: A Python Library for Graph Outlier Detectioncited by 31
- 2022DropMessage: Unifying Random Dropping for Graph Neural Networkscited by 29
- 2023SAD: Semi-Supervised Anomaly Detection on Dynamic Graphscited by 27
- 2024Rethinking Graph Backdoor Attacks: A Distribution-Preserving Perspectivecited by 22
- 2023A Survey of Imbalanced Learning on Graphs: Problems, Techniques, and Future Directionscited by 15
- 2024Higher-order Structure Based Anomaly Detection on Attributed Networkscited by 12
17 more
- 2024SmoothGNN: Smoothing-aware GNN for Unsupervised Node Anomaly Detectioncited by 11
- 2021Graph Neural Network to Dilute Outliers for Refactoring Monolith Applicationcited by 9
- 2021Semi-supervised Network Embedding with Differentiable Deep Quantisationcited by 7
- 2024Towards Fair Graph Anomaly Detection: Problem, Benchmark Datasets, and Evaluationcited by 6
- 2025Graph Evidential Learning for Anomaly Detectioncited by 5
- 2024Learning-Based Link Anomaly Detection in Continuous-Time Dynamic Graphscited by 4
- 2025Text-Attributed Graph Anomaly Detection via Multi-Scale Cross- and Uni-Modal Contrastive Learningcited by 4
- 2021Deep Dual Support Vector Data Description for Anomaly Detection on Attributed Networkscited by 3
- 2023Graph Anomaly Detection at Group Level: A Topology Pattern Enhanced Unsupervised Approachcited by 3
- 2025Court of LLMs: Evidence-Augmented Generation via Multi-LLM Collaboration for Text-Attributed Graph Anomaly Detectioncited by 3
- 2024Critical Review for One-class Classification: recent advances and the reality behind themcited by 2
- 2022AHEAD: A Triple Attention Based Heterogeneous Graph Anomaly Detection Approachcited by 1
- 2021DynACPD Embedding Algorithm for Prediction Tasks in Dynamic Networkscited by 0
- 2025Boosting Graph Robustness Against Backdoor Attacks: An Over-Similarity Perspectivecited by 0
- 2026Balanced Anomaly-guided Ego-graph Diffusion Model for Inductive Graph Anomaly Detectioncited by 0
- 2026Learning Feature Encoder with Synthetic Anomalies for Weakly Supervised Graph Anomaly Detectioncited by 0
- 2026Trojaning the Alignment: Stealthy Backdoor Attacks against Graph Foundation Modelscited by 0
- 2026Trojaning the Alignment: Stealthy Backdoor Attacks against Graph Foundation Models21 Aug 2026
- 2026Learning Feature Encoder with Synthetic Anomalies for Weakly Supervised Graph Anomaly Detection12 May 2026
- 2026Balanced Anomaly-guided Ego-graph Diffusion Model for Inductive Graph Anomaly Detection5 Feb 2026
- 2025Text-Attributed Graph Anomaly Detection via Multi-Scale Cross- and Uni-Modal Contrastive Learning1 Aug 2025
- 2025Court of LLMs: Evidence-Augmented Generation via Multi-LLM Collaboration for Text-Attributed Graph Anomaly Detection1 Aug 2025
- 2025Graph Evidential Learning for Anomaly Detection31 May 2025
- 2025Boosting Graph Robustness Against Backdoor Attacks: An Over-Similarity Perspective3 Feb 2025
- 2024Higher-order Structure Based Anomaly Detection on Attributed Networks7 Jun 2024
- 2024Learning-Based Link Anomaly Detection in Continuous-Time Dynamic Graphs28 May 2024
- 2024SmoothGNN: Smoothing-aware GNN for Unsupervised Node Anomaly Detection27 May 2024
- 2024Rethinking Graph Backdoor Attacks: A Distribution-Preserving Perspective17 May 2024
- 2024Critical Review for One-class Classification: recent advances and the reality behind them27 Apr 2024
17 more
- 2024Towards Fair Graph Anomaly Detection: Problem, Benchmark Datasets, and Evaluation25 Feb 2024
- 2023A Survey of Imbalanced Learning on Graphs: Problems, Techniques, and Future Directions26 Aug 2023
- 2023Graph Anomaly Detection at Group Level: A Topology Pattern Enhanced Unsupervised Approach2 Aug 2023
- 2023GAD-NR: Graph Anomaly Detection via Neighborhood Reconstruction2 Jun 2023
- 2023SAD: Semi-Supervised Anomaly Detection on Dynamic Graphs23 May 2023
- 2022AHEAD: A Triple Attention Based Heterogeneous Graph Anomaly Detection Approach17 Aug 2022
- 2022BOND: Benchmarking Unsupervised Outlier Node Detection on Static Attributed Graphs21 Jun 2022
- 2022Rethinking Graph Neural Networks for Anomaly Detection31 May 2022
- 2022PyGOD: A Python Library for Graph Outlier Detection26 Apr 2022
- 2022DropMessage: Unifying Random Dropping for Graph Neural Networks21 Apr 2022
- 2021Deep Dual Support Vector Data Description for Anomaly Detection on Attributed Networks1 Sep 2021
- 2021Semi-supervised Network Embedding with Differentiable Deep Quantisation20 Aug 2021
- 2021A Comprehensive Survey on Graph Anomaly Detection with Deep Learning14 Jun 2021
- 2021Hop-Count Based Self-Supervised Anomaly Detection on Attributed Networks16 Apr 2021
- 2021DynACPD Embedding Algorithm for Prediction Tasks in Dynamic Networks12 Mar 2021
- 2021Few-shot Network Anomaly Detection via Cross-network Meta-learning22 Feb 2021
- 2021Graph Neural Network to Dilute Outliers for Refactoring Monolith Application7 Feb 2021
- 2021A Comprehensive Survey on Graph Anomaly Detection with Deep Learningcited by 230
- 2022Rethinking Graph Neural Networks for Anomaly Detectioncited by 185
- 2022BOND: Benchmarking Unsupervised Outlier Node Detection on Static Attributed Graphscited by 80
- 2021Few-shot Network Anomaly Detection via Cross-network Meta-learningcited by 64
- 2023GAD-NR: Graph Anomaly Detection via Neighborhood Reconstructioncited by 44
- 2021Hop-Count Based Self-Supervised Anomaly Detection on Attributed Networkscited by 31
- 2022PyGOD: A Python Library for Graph Outlier Detectioncited by 31
- 2022DropMessage: Unifying Random Dropping for Graph Neural Networkscited by 29
- 2023SAD: Semi-Supervised Anomaly Detection on Dynamic Graphscited by 27
- 2024Rethinking Graph Backdoor Attacks: A Distribution-Preserving Perspectivecited by 22
- 2023A Survey of Imbalanced Learning on Graphs: Problems, Techniques, and Future Directionscited by 15
- 2024Higher-order Structure Based Anomaly Detection on Attributed Networkscited by 12
12 most cited of 27 All 27 (JSON)
- 2026Learning Feature Encoder with Synthetic Anomalies for Weakly Supervised Graph Anomaly Detection12 May 2026
- 2025Text-Attributed Graph Anomaly Detection via Multi-Scale Cross- and Uni-Modal Contrastive Learning1 Aug 2025
- 2025Court of LLMs: Evidence-Augmented Generation via Multi-LLM Collaboration for Text-Attributed Graph Anomaly Detection1 Aug 2025
- 2025Graph Evidential Learning for Anomaly Detection31 May 2025
- 2025Boosting Graph Robustness Against Backdoor Attacks: An Over-Similarity Perspective3 Feb 2025
- 2024Higher-order Structure Based Anomaly Detection on Attributed Networks7 Jun 2024
- 2024Learning-Based Link Anomaly Detection in Continuous-Time Dynamic Graphs28 May 2024
- 2024SmoothGNN: Smoothing-aware GNN for Unsupervised Node Anomaly Detection27 May 2024
- 2024Rethinking Graph Backdoor Attacks: A Distribution-Preserving Perspective17 May 2024
- 2024Critical Review for One-class Classification: recent advances and the reality behind them27 Apr 2024
- 2024Towards Fair Graph Anomaly Detection: Problem, Benchmark Datasets, and Evaluation25 Feb 2024
- 2023A Survey of Imbalanced Learning on Graphs: Problems, Techniques, and Future Directions26 Aug 2023
12 newest of 27 All 27 (JSON)