Dynamics of a mean-shift-like algorithm and its applications on clustering

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	Dynamics of a mean-shift-like algorithm and its applications on clustering
	Liu, Yiguang 1; Li, Stan Z.2,3 ; Wu, Wei 4; Huang, Ronggang 1
刊名	INFORMATION PROCESSING LETTERS
	2013
卷号	113 期号:1-2 页码:8-16
关键词	Design of algorithms Mean-shift algorithm Stability Exponential convergence Clustering
英文摘要	The Mean-Shift (MS) algorithm and its variants have wide applications in pattern recognition and computer vision tasks such as clustering, segmentation, and tracking. In this paper, we study the dynamics of the algorithm with Gaussian kernels, based on a Generalized MS (GMS) model that includes the standard MS as a special case. First, we prove that the GMS has solutions in the convex hull of the given data points. By the principle of contraction mapping, a sufficient condition, dependent on a parameter introduced into Gaussian kernels, is provided to guarantee the uniqueness of the solution. It is shown that the solution is also globally stable and exponentially convergent under the condition. When the condition does not hold, the GMS algorithm can possibly have multiple equilibriums, which can be used for clustering as each equilibrium has its own attractive basin. Based on this, the condition can be used to estimate an appropriate parameter which ensures the GMS algorithm to have its equilibriums suitable for clustering. Examples are given to illustrate the correctness of the condition. It is also shown that the use of the multiple-equilibrium property for clustering, on the data sets such as IRIS, leads to a lower error rate than the standard MS approach, and the K-Means and Fuzzy C-Means algorithms. (c) 2012 Elsevier B.V. All rights reserved.
WOS标题词	Science & Technology ; Technology
类目[WOS]	Computer Science, Information Systems
研究领域[WOS]	Computer Science
关键词[WOS]	RECOGNITION ; CLASSIFIER
收录类别	SCI
语种	英语
WOS记录号	WOS:000312175200003
公开日期	2015-09-22
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/7945]
专题	自动化研究所_模式识别国家重点实验室_生物识别与安全技术研究中心
作者单位	1.Sichuan Univ, Vis & Image Proc Lab, Sch Comp, Chengdu 610064, Sichuan Provinc, Peoples R China 2.Chinese Acad Sci, CBSR, Inst Automat, Beijing 100080, Peoples R China 3.Chinese Acad Sci, NLPR, Inst Automat, Beijing 100080, Peoples R China 4.Sichuan Univ, Sch Elect & Informat Engn, Chengdu 610064, Sichuan Provinc, Peoples R China
推荐引用方式 GB/T 7714	Liu, Yiguang,Li, Stan Z.,Wu, Wei,et al. Dynamics of a mean-shift-like algorithm and its applications on clustering[J]. INFORMATION PROCESSING LETTERS,2013,113(1-2):8-16.
APA	Liu, Yiguang,Li, Stan Z.,Wu, Wei,&Huang, Ronggang.(2013).Dynamics of a mean-shift-like algorithm and its applications on clustering.INFORMATION PROCESSING LETTERS,113(1-2),8-16.
MLA	Liu, Yiguang,et al."Dynamics of a mean-shift-like algorithm and its applications on clustering".INFORMATION PROCESSING LETTERS 113.1-2(2013):8-16.