Journal
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
Volume 18, Issue 1, Pages 411-426Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/jimo.2020160
Keywords
functional k-means; k-means; seeding algorithm; approximation algorithm
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Funding
- Higher Educational Science and Technology Program of Shandong Province [J17KA171]
- Natural Science Foundation of Shandong Province of China [ZR2019MA032]
- Shenzhen research grant [KQJSCX20180330170311901, JCYJ20180305180840138]
- National Natural Science Foundation of China [11871081]
- Beijing Natural Science Foundation [Z200002]
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This paper investigates the functional k-means problem and proposes an O(ln k)-approximation algorithm based on the seeding method, which is shown to be more efficient than the functional k-means clustering algorithm through numerical experiments.
Different from the classical k-means problem, the functional k means problem involves a kind of dynamic data, which is generated by continuous processes. In this paper, we mainly design an O(ln k)-approximation algorithm based on the seeding method for functional k-means problem. Moreover, the numerical experiment presented shows that this algorithm is more efficient than the functional k-means clustering algorithm.
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