Node Representation Learning for Directed Graphs
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Abstract (arXiv)
We propose a novel approach for learning node representations in directed graphs, which maintains separate views or embedding spaces for the two distinct node roles induced by the directionality of the edges. We argue that the previous approaches either fail to encode the edge directionality or their encodings cannot be generalized across tasks. With our simple alternating random walk strategy, we generate role specific vertex neighborhoods and train node embeddings in their corresponding source/target roles while fully exploiting the semantics of directed graphs. We also unearth the limitations of evaluations on directed graphs in previous works and propose a clear strategy for evaluating link prediction and graph reconstruction in directed graphs. We conduct extensive experiments to showcase our effectiveness on several real-world datasets on link prediction, node classification and graph reconstruction tasks. We show that the embeddings from our approach are indeed robust, generalizable and well performing across multiple kinds of tasks and graphs. We show that we consistently outperform all baselines for node classification task. In addition to providing a theoretical interpretation of our method we also show that we are considerably more robust than the other directed graph approaches.
Key facts. Cited by 16 papers in the map (data through 7 Oct 2026). First posted on arXiv 22 Oct 2018.
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Citing papers per year: 2021: 5; 2022: 5; 2023: 3; 2024: 1; 2025: 2.
16 papers.
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- 2021A Broader Picture of Random-walk Based Graph Embeddingcited by 15
- 2021WGCN: Graph Convolutional Networks with Weighted Structural Featurescited by 12
- 2022Learning with Asymmetric Kernels: Least Squares and Feature Interpretationcited by 11
- 2023Multi-label Node Classification On Graph-Structured Datacited by 10
- 2021A Robust and Generalized Framework for Adversarial Graph Embeddingcited by 8
- 2021D-HYPR: Harnessing Neighborhood Modeling and Asymmetry Preservation for Digraph Representation Learningcited by 8
- 2022Random Fourier Features for Asymmetric Kernelscited by 7
- 2024DUPLEX: Dual GAT for Complex Embedding of Directed Graphscited by 7
- 2025Finsler Multi-Dimensional Scaling: Manifold Learning for Asymmetric Dimensionality Reduction and Embeddingcited by 7
- 2021A Multi-purposed Unsupervised Framework for Comparing Embeddings of Undirected and Directed Graphscited by 6
- 2022Recommending Related Products Using Graph Neural Networks in Directed Graphscited by 6
- 2023Nonlinear SVD with Asymmetric Kernels: feature learning and asymmetric Nystr"om methodcited by 5
4 more
- 2022Privacy and Transparency in Graph Machine Learning: A Unified Perspectivecited by 4
- 2023BHGNN-RT: Network embedding for directed heterogeneous graphscited by 1
- 2022Rethinking the positive role of cluster structure in complex networks for link prediction taskscited by 0
- 2025Rethinking Link Prediction for Directed Graphscited by 0
- 2025Finsler Multi-Dimensional Scaling: Manifold Learning for Asymmetric Dimensionality Reduction and Embedding23 Mar 2025
- 2025Rethinking Link Prediction for Directed Graphs8 Feb 2025
- 2024DUPLEX: Dual GAT for Complex Embedding of Directed Graphs8 Jun 2024
- 2023BHGNN-RT: Network embedding for directed heterogeneous graphs24 Nov 2023
- 2023Nonlinear SVD with Asymmetric Kernels: feature learning and asymmetric Nystr"om method12 Jun 2023
- 2023Multi-label Node Classification On Graph-Structured Data20 Apr 2023
- 2022Recommending Related Products Using Graph Neural Networks in Directed Graphs18 Nov 2022
- 2022Rethinking the positive role of cluster structure in complex networks for link prediction tasks4 Nov 2022
- 2022Random Fourier Features for Asymmetric Kernels18 Sep 2022
- 2022Privacy and Transparency in Graph Machine Learning: A Unified Perspective22 Jul 2022
- 2022Learning with Asymmetric Kernels: Least Squares and Feature Interpretation3 Feb 2022
- 2021D-HYPR: Harnessing Neighborhood Modeling and Asymmetry Preservation for Digraph Representation Learning22 Dec 2021
4 more
- 2021A Multi-purposed Unsupervised Framework for Comparing Embeddings of Undirected and Directed Graphs30 Nov 2021
- 2021A Broader Picture of Random-walk Based Graph Embedding24 Oct 2021
- 2021A Robust and Generalized Framework for Adversarial Graph Embedding22 May 2021
- 2021WGCN: Graph Convolutional Networks with Weighted Structural Features29 Apr 2021
- 2021A Broader Picture of Random-walk Based Graph Embeddingcited by 15
- 2021WGCN: Graph Convolutional Networks with Weighted Structural Featurescited by 12
- 2022Learning with Asymmetric Kernels: Least Squares and Feature Interpretationcited by 11
- 2023Multi-label Node Classification On Graph-Structured Datacited by 10
- 2021A Robust and Generalized Framework for Adversarial Graph Embeddingcited by 8
- 2021D-HYPR: Harnessing Neighborhood Modeling and Asymmetry Preservation for Digraph Representation Learningcited by 8
- 2022Random Fourier Features for Asymmetric Kernelscited by 7
- 2024DUPLEX: Dual GAT for Complex Embedding of Directed Graphscited by 7
- 2025Finsler Multi-Dimensional Scaling: Manifold Learning for Asymmetric Dimensionality Reduction and Embeddingcited by 7
- 2021A Multi-purposed Unsupervised Framework for Comparing Embeddings of Undirected and Directed Graphscited by 6
- 2022Recommending Related Products Using Graph Neural Networks in Directed Graphscited by 6
- 2023Nonlinear SVD with Asymmetric Kernels: feature learning and asymmetric Nystr"om methodcited by 5
12 most cited of 16 All 16 (JSON)
- 2025Finsler Multi-Dimensional Scaling: Manifold Learning for Asymmetric Dimensionality Reduction and Embedding23 Mar 2025
- 2025Rethinking Link Prediction for Directed Graphs8 Feb 2025
- 2024DUPLEX: Dual GAT for Complex Embedding of Directed Graphs8 Jun 2024
- 2023BHGNN-RT: Network embedding for directed heterogeneous graphs24 Nov 2023
- 2023Nonlinear SVD with Asymmetric Kernels: feature learning and asymmetric Nystr"om method12 Jun 2023
- 2023Multi-label Node Classification On Graph-Structured Data20 Apr 2023
- 2022Recommending Related Products Using Graph Neural Networks in Directed Graphs18 Nov 2022
- 2022Rethinking the positive role of cluster structure in complex networks for link prediction tasks4 Nov 2022
- 2022Random Fourier Features for Asymmetric Kernels18 Sep 2022
- 2022Privacy and Transparency in Graph Machine Learning: A Unified Perspective22 Jul 2022
- 2022Learning with Asymmetric Kernels: Least Squares and Feature Interpretation3 Feb 2022
- 2021D-HYPR: Harnessing Neighborhood Modeling and Asymmetry Preservation for Digraph Representation Learning22 Dec 2021
12 newest of 16 All 16 (JSON)