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VisAdj addresses the critical challenge of recovering structured graph data directly from visual node-link images, moving beyond static heuristics to model complex dependencies among edges. By leveraging a line-graph transformer and attention-sparse sampling, this framework significantly improves topology-aware adjacency prediction across diverse datasets like road networks and vessel imagery. This advancement strengthens the intersection of computer vision and machine learning for extracting meaningful graph structures from unstructured visual inputs.
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VisAdj: Learning Adjacency Matrices from Node-Link Images

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arXiv:2608.21825v1 Announce Type: new Abstract: Learning adjacency matrices from node-link images is a fundamental problem for recovering structured graph information from visual observations. Existing methods typically rely on fixed KNN-based heuristics for candidate edge selection and fail to capture dependencies among edges. To overcome these limitations, we propose VisAdj, a new framework for topology-aware adjacency prediction. VisAdj introduces an attention-sparse neighbor sampler to adaptively select a high-recall set of candidate node pairs and performs joint edge inference using a line-graph transformer that treats candidate edges as tokens and explicitly models dependencies among incident edges. Extensive experiments on synthetic graphs, road networks, and vessel images demonstrate that VisAdj consistently outperforms existing baselines by clear margins.

Abstract:Learning adjacency matrices from node-link images is a fundamental problem for recovering structured graph information from visual observations. Existing methods typically rely on fixed KNN-based heuristics for candidate edge selection and fail to capture dependencies among edges. To overcome these limitations, we propose VisAdj, a new framework for topology-aware adjacency prediction. VisAdj introduces an attention-sparse neighbor sampler to adaptively select a high-recall set of candidate node pairs and performs joint edge inference using a line-graph transformer that treats candidate edges as tokens and explicitly models dependencies among incident edges. Extensive experiments on synthetic graphs, road networks, and vessel images demonstrate that VisAdj consistently outperforms existing baselines by clear margins.

Artificial Intelligence (cs.AI); Computer Vision and Pattern Recognition (cs.CV); Machine Learning (cs.LG)

arXiv:2608.21825 [cs.AI]

(or arXiv:2608.21825v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2608.21825 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

https://doi.org/10.1145/3799682.3840917 Focus to learn more DOI(s) linking to related resources

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