arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.03373cs.LGcs.CVstat.ML

Hierarchical and Unsupervised Graph Representation Learning with Loukas's Coarsening

Laboratoire de Physique, UMR 5672(物理实验室,联合研究单位5672);CNRS, ENS de Lyon, UCB Lyon 1(法国国家科学研究中心,里昂高等师范学院,里昂第一大学);UMPA UMR 5669(纯数学与应用数学联合研究单位5669);LIP UMR 5668(计算机科学并行计算实验室,联合研究单位5668);Laboratoire Hubert Curien, UMR 5516(于贝尔·居里安实验室,联合研究单位5516);CNRS, University of Lyon, UJM-Saint-Etienne(法国国家科学研究中心,里昂大学,圣艾蒂安让·莫内大学)

Louis Béthune, Yacouba Kaloga, Pierre Borgnat, Aurélien Garivier, Amaury Habrard

英文摘要:

We propose a novel algorithm for unsupervised graph representation learning with attributed graphs. It combines three advantages addressing some current limitations of the literature: i) The model is inductive: it can embed new graphs without re-training in the presence of new data; ii) The method takes into account both micro-structures and macro-structures by looking at the attributed graphs at different scales; iii) The model is end-to-end differentiable: it is a building block that can be plugged into deep learning pipelines and allows for back-propagation. We show that combining a coarsening method having strong theoretical guarantees with mutual information maximization suffices to produce high quality embeddings. We evaluate them on classification tasks with common benchmarks of the literature. We show that our algorithm is competitive with state of the art among unsupervised graph representation learning methods.

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