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

文献类型：期刊论文

作者Liu, Yiguang1; Li, Stan Z.2,3; Wu, Wei4; Huang, Ronggang1
刊名INFORMATION PROCESSING LETTERS
出版日期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
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.

入库方式： OAI收割

来源：自动化研究所

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