Using Computational Verbs to Cluster Trajectories and Curves

The first step of building a computational verbmodel of any a dynamical system is to find the representativecomputational verbs, which are also called template computationalverbs, from the historical records. In this paper, clusteringalgorithms were used to find centers of quantitatively differentclusters, of which each was represented by a template computationalverbs. The clustering space was constructed basedon verb similarities between observed curves or waveformsand some “ideal” computational verbs such as increase anddecrease, which had linear evolving functions. As an example,the peak-valley and valley-peak waveforms generated by a chaoticsystem called Chua’s circuit were clustered into 18 templatecomputational verbs.