Gravity Inspired Clustering Algorithm

This paper presents a new clustering algorithm inspired by Newtonian gravity that iteratively groups data and eliminates outliers. In particular, we impose a grid over the region of interest and define a particle with data-dependent mass for each grid square. We then calculate a Newtonian inspired force on each of the particles and move them in the direction of the force. We repeat the process until there is no further movement. We compare performance with existing algorithms and show that in cases of medium to high clutter, our algorithm has an order of magnitude lower estimation error.

[1]  Anil K. Jain,et al.  Data clustering: a review , 1999, CSUR.

[2]  S. P. Lloyd,et al.  Least squares quantization in PCM , 1982, IEEE Trans. Inf. Theory.

[3]  Long To,et al.  Advanced radar cross section clutter removal algorithms , 2010, Proceedings of the Fourth European Conference on Antennas and Propagation.

[4]  Anil K. Jain,et al.  Algorithms for Clustering Data , 1988 .

[5]  Rui Xu,et al.  Survey of clustering algorithms , 2005, IEEE Transactions on Neural Networks.

[6]  Hossein Nezamabadi-pour,et al.  A data clustering approach based on universal gravity rule , 2015, Eng. Appl. Artif. Intell..

[7]  J. Bezdek,et al.  FCM: The fuzzy c-means clustering algorithm , 1984 .

[8]  Martin W. Y. Poon,et al.  A singular value decomposition (SVD) based method for suppressing ocean clutter in high frequency radar , 1993, IEEE Trans. Signal Process..

[9]  Makoto Takizawa,et al.  A Survey on Clustering Algorithms for Wireless Sensor Networks , 2010, 2010 13th International Conference on Network-Based Information Systems.

[10]  Yingjie Tian,et al.  A Comprehensive Survey of Clustering Algorithms , 2015, Annals of Data Science.