Laplacian-based semi-Supervised learning in multilayer hypergraphs by coordinate descent

Graph Semi-Supervised learning is an important data analysis tool, where given a graph and a set of labeled nodes, the aim is to infer the labels to the remaining unlabeled nodes. In this paper, we start by considering an optimization-based formulation of the problem for an undirected graph, and the...

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Bibliographic Details
Main Authors: Sara Venturini, Andrea Cristofari, Francesco Rinaldi, Francesco Tudisco
Format: Article
Language:English
Published: Elsevier 2023-01-01
Series:EURO Journal on Computational Optimization
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2192440623000230
Description
Summary:Graph Semi-Supervised learning is an important data analysis tool, where given a graph and a set of labeled nodes, the aim is to infer the labels to the remaining unlabeled nodes. In this paper, we start by considering an optimization-based formulation of the problem for an undirected graph, and then we extend this formulation to multilayer hypergraphs. We solve the problem using different coordinate descent approaches and compare the results with the ones obtained by the classic gradient descent method. Experiments on synthetic and real-world datasets show the potential of using coordinate descent methods with suitable selection rules.
ISSN:2192-4406