A Metric Learning Approach to Graph Edit Costs for Regression - Normandie Université Access content directly
Conference Papers Year : 2021

A Metric Learning Approach to Graph Edit Costs for Regression

Abstract

Graph edit distance (GED) is a widely used dissimilarity measure between graphs. It is a natural metric for comparing graphs and respects the nature of the underlying space, and provides interpretability for operations on graphs. As a key ingredient of the GED, the choice of edit cost functions has a dramatic effect on the GED and therefore the classification or regression performances. In this paper, in the spirit of metric learning, we propose a strategy to optimize edit costs according to a particular prediction task, which avoids the use of predefined costs. An alternate iterative procedure is proposed to preserve the distances in both the underlying spaces, where the update on edit costs obtained by solving a constrained linear problem and a re-computation of the optimal edit paths according to the newly computed costs are performed alternately. Experiments show that regression using the optimized costs yields better performances compared to random or expert costs.
Fichier principal
Vignette du fichier
21.s+sspr.graphregression.pdf (304.5 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03128664 , version 1 (02-02-2021)

Identifiers

Cite

Linlin Jia, Benoit Gaüzère, Florian Yger, Paul Honeine. A Metric Learning Approach to Graph Edit Costs for Regression. Proceedings of IAPR Joint International Workshops on Statistical techniques in Pattern Recognition (SPR 2020) and Structural and Syntactic Pattern Recognition (SSPR 2020), Jan 2021, Venise, Italy. ⟨10.1007/978-3-030-73973-7_23⟩. ⟨hal-03128664⟩
160 View
121 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More