ystyle="true"> i = 1 : k x c i x m i 2 , (9)

where x is a data point, c i is the ith cluster, and m i is the centroid of c i . A large positive value of VRC indicates that the clustering performance is superior. In this study, α and β in (5) and (6) were set to 1.5 and 0.9, respectively.

Table 1 shows the performance results, which were averaged over the results of 30 trials. It is apparent that the proposed IAP method has a longer computational time and more exemplars than the original AP method. However, the former exhibits superior clustering performance, compared with the two conventional methods. Note that the running time was calculated using a PC (CPU: i7-4770@3.4 GHz, RAM: 8.0 GB). Hence, it can be concluded that rules (5) and (6) work effectively in the original AP method.

Conflicts of Interest

The authors declare no conflicts of interest.

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