This paper presents a convergence analysis for the problem of consistent labelling using genetic search. The work builds on a recent empirical study of graph matching where we showed that a Bayesian consistency measure could be e$ciently optimised using a hybrid genetic search procedure which incorporated a hill-climbing step. In the present study we return to the algorithm and provide some theoretical justi"cation for its observed convergence behaviour. The novelty of the analysis is to demonstrate analytically that the hill-climbing step signi"cantly accelerates convergence, and that the convergence rate is polynomial in the size of the node-set of the graphs being matched.
Cross extended this idea in REF that is also a convergence analysis for the problem of attributed graph matching using genetic search.
Convergence of a hill-climbing genetic algorithm for graph matching
Pattern Recognition
Computer Science Mathematics