Evolutionary Multi Objective Optimization Algorithm for Community Detection in Complex Social Networks
This work addresses the problem of improving community detection accuracy for researchers in network analysis, but it is incremental as it extends existing multi-objective frameworks with a third objective.
The authors tackled community detection in social networks by proposing two three-objective evolutionary algorithms, NSGA-III-KRM and NSGA-III-CCM, which achieved comparable or better results than state-of-the-art methods on four benchmark datasets without worsening performance on the other objectives.
Most optimization-based community detection approaches formulate the problem in a single or bi-objective framework. In this paper, we propose two variants of a three-objective formulation using a customized non-dominated sorting genetic algorithm III (NSGA-III) to find community structures in a network. In the first variant, named NSGA-III-KRM, we considered Kernel k means, Ratio cut, and Modularity, as the three objectives, whereas the second variant, named NSGA-III-CCM, considers Community score, Community fitness and Modularity, as three objective functions. Experiments are conducted on four benchmark network datasets. Comparison with state-of-the-art approaches along with decomposition-based multi-objective evolutionary algorithm variants (MOEA/D-KRM and MOEA/D-CCM) indicates that the proposed variants yield comparable or better results. This is particularly significant because the addition of the third objective does not worsen the results of the other two objectives. We also propose a simple method to rank the Pareto solutions so obtained by proposing a new measure, namely the ratio of the hyper-volume and inverted generational distance (IGD). The higher the ratio, the better is the Pareto set. This strategy is particularly useful in the absence of empirical attainment function in the multi-objective framework, where the number of objectives is more than two.