Clustering for uncertain data is an interesting research topic in data mining. Researchers prefer to define uncertain data clustering problem by using combinatorial optimization model. Heuristic clustering algorithm is an efficient way to deal with this kind of clustering problem, but initialization sensitivity is one of inevitable drawbacks. In this paper, we propose a novel clustering algorithm named CUDAP (Clustering algorithm for Uncertain Data based on Approximate backbone). In CUDAP, we (1) make M times random sampling on the original uncertain data set D m to generate M sampled data sets DS= { Ds 1 ,Ds 2 ,…,Ds M }; (2) capture the M local optimal clustering results P ={ C 1 ,C 2 ,…,C M } from DS by running UK-Medoids algorithm on each sample data set Ds i , i=1,…M ;  (3) design a greedy search algorithm to find out the approximate backbone( APB ) from P ; (4) run UK-Medoids again on the original uncertain data set D m guided by new initialization which was generated from APB . Experimental results on synthetic and real world data sets demonstrate the superiority of the proposed approach in terms of clustering quality measures.

http://www.jsoftware.us/vol9/jsw0903-29.pdf

CUDAP: A Novel Clustering Algorithm for Uncertain Data Based on Approximate Backbone

As the shared common parts of all global optimal solutions to an NP-hard problem instance, the backbone has become a hot research line due to its essential impacts on the heuristic algorithm design. In this paper, research results on the backbone and related conceptions were thoroughly surveyed. The existing research of backbone consists of three areas, including the basic theoretical research focusing on investigation of the relationship between the backbone and computational complexity, the application research on how to e-ciently approximate the backbone, and the applications on how to employ the backbone within the heuristic algorithm design. Furthermore, we discussed in detail the existing problems to be solved in this topic, and provided some guidelines on how to tackle them.

/pdf/backbone-analysis-and-applications-in-heuristic-algorithm-2qjc0u6mxg.pdf

Backbone Analysis and Applications in Heuristic Algorithm Design

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Backbone Analysis and Applications in Heuristic Algorithm Design