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The functional k-means problem involves different data from k-means problem, where the functional data is a kind of dynamic data and is generated by continuous processes. By defining a new distance with derivative information, the functional k-means clustering algorithm can be used well for functional k-means problem. In this paper, we mainly investigate the seeding algorithm for functional k-means problem and show that the performance guarantee is obtained as 8(ln k + 2). Moreover, we present the numerical experiment showing the validity of this algorithm, comparing to the functional k-means clustering algorithm. © Springer Nature Switzerland AG 2019.
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