The
main aim of this paper is to develop a community discovery scheme in a
multi-dimensional network for data mining applications. In online social media,
networked data consists of multiple dimensions/entities such as users, tags,
photos, comments, and stories. We are interested in finding a group of users
who interact significantly on these media entities. In a co-citation network,
we are interested in finding a group of authors who relate to other authors
significantly on publication information in titles, abstracts, and keywords as
multiple dimensions/entities in the network. The main contribution of this paper
is to propose a framework (Multi Comm)to identify a seed-based community in a
multi-dimensional network by evaluating the affinity between two items in the
same type of entity (same dimension)or different types of entities (different
dimensions)from the network. Our idea is to calculate the probabilities of
visiting each item in each dimension, and compare their values to generate
communities from a set of seed items. In order to evaluate a high quality of
generated communities by the proposed algorithm, we develop and study a local
modularity measure of a community in a multi-dimensional network. Experiments
based on synthetic and real-world data sets suggest that the proposed framework
is able to find a community effectively. Experimental results have also shown
that the performance of the proposed algorithm is better in accuracy than the
other testing algorithms in finding communities in multi-dimensional networks.
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