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Au Thien-Wan - Computational Intelligence in Information Systems: Proceedings of the Computational Intelligence in Information Systems Conference (CIIS 2016)

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Au Thien-Wan Computational Intelligence in Information Systems: Proceedings of the Computational Intelligence in Information Systems Conference (CIIS 2016)
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Intelligent Systems and their Applications
Springer International Publishing AG 2017
Somnuk Phon-Amnuaisuk , Thien-Wan Au and Saiful Omar (eds.) Computational Intelligence in Information Systems Advances in Intelligent Systems and Computing 10.1007/978-3-319-48517-1_1
On Using Genetic Algorithm for Initialising Semi-supervised Fuzzy c-Means Clustering
Daphne Teck Ching Lai 1
(1)
Faculty of Science, Universiti Brunei Darussalam, Gadong, BE1410, Brunei
(2)
School of Computer Science, University of Nottingham, Nottingham, NG8 1BB, UK
Daphne Teck Ching Lai (Corresponding author)
Email:
Jonathan M. Garibaldi
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Abstract
In a previous work, suitable initialisation techniques were incorporated with semi-supervised Fuzzy c-Means clustering (ssFCM) to improve clustering results on a trial and error basis. In this work, we present a single fully-automatic version of an existing semi-supervised Fuzzy c-means clustering framework which uses genetically-modified prototypes (ssFCMGA). Initial prototypes are generated by GA to initialise the ssFCM algorithm without experimentation of different initialisation techniques. The framework is tested on a real, biomedical dataset NTBC and on the Arrhythmia UCI dataset, using varying amounts of labelled data from 10 % to 60 % of the total data patterns. Different ssFCM threshold values and fitness functions for ssFCMGA are also investigated (sGAs). We used accuracy and NMI to measure class-label agreement and internal measures WSS, BSS, CH, CWB, DB and DU to evaluate cluster quality of the clustering algorithms. Results are compared with those produced by the existing ssFCM. While ssFCMGA and sGAs produced slightly lower agreement level than ssFCM with known class labels based on accuracy and NMI, the other six measurements showed improvement in the results in terms of compactness and well-separatedness (cluster quality), particularly when labelled data are low at 10 %. Furthermore, the cluster quality are shown to further improve using ssFCMGA with a more complex fitness function (sGA2). This demonstrates the application of GA in ssFCM improves cluster quality without exploration of different initialisation techniques.
Keywords
Semi-supervised Genetic algorithms Fuzzy clustering
Introduction
Clustering is a pattern recognition approach for discovering natural and hidden groupings of similar data patterns, defined by a distance metric. One challenge in an unsupervised learning task such as clustering is that the solution varies according to the initial prototypes (cluster centres) chosen, often at random. One way is to use labelled data patterns as examples for guiding the clustering of unlabelled ones, this is known as semi-supervision. Pedrycz and Waletzky [] has applied semi-supervision in fuzzy clustering by using labels as known membership to clusters. As opposed to a binary approach, fuzzy clustering allows data points to belong to more than one cluster. This is considered a more realistic representation. Thus, semi-supervised fuzzy clustering takes the advantages of learning from available labels and using fuzzy membership to represent the degree of belongingness of data patterns to all clusters.
Initial prototypes affect the classification accuracy of clustering algorithms and thus, there are initialisation techniques available to improve accuracy []. In this paper, our aim is to investigate the use of genetic algorithm (GA) in a fully automatic ssFCM framework to improve clustering results, investigating agreement level with known class labels and cluster quality in terms of compactness and well-separatedness. The idea is to use simple, existing GA operators to produce initial prototypes that will lead to better clustering results together with ssFCM rather than using ssFCM alone. As the clustering algorithm used is semi-supervised, the number of clusters is assumed to be the number of classes provided by known labels. Thus, this paper focuses on investigating the performance (accuracy rate and cluster quality) of ssFCM with the application of GA.
Frber et al. [] warned against using class labels for evaluating clustering algorithms or using class labels in designing clustering algorithm to learn class structure instead of the internal structure of data. The class labels used in our study are for guiding the learning of internal structure of the dataset, and the labelled data patterns themselves undergo learning and gets updated at each iteration. For this reason, we use internal measures to evaluate cluster quality and thus, the internal structure, in addition to using external measures to evaluate class-label agreement in this investigation.
Hruschka et al. [], we explore external improvements to ssFCM because ssFCM is simple and performs well with suitable distance metrics.
The paper is organised as follows: We discuss ssFCM and GA methodologies used in the framework in Sect..
Methodology
In this section, a ssFCM framework using Genetic Algorithm (ssFCMGA) generated prototypes is presented. Figure shows the flowchart of ssFCMGA where GA is run to supply the initial prototypes, for ssFCM Fig 1 Flowchart of ssFCMGA 21 Semi-supervised - photo 1 for ssFCM.
Fig 1 Flowchart of ssFCMGA 21 Semi-supervised Fuzzy C-Means The - photo 2
Fig. 1.
Flowchart of ssFCMGA.
21 Semi-supervised Fuzzy C-Means The objective function of ssFCM proposed by - photo 3
2.1 Semi-supervised Fuzzy C-Means
The objective function of ssFCM proposed by Pedrycz and Waletzky [] contains unsupervised learning in the first term and supervised learning in the second term as follows:
3 where is the membership value of data pattern j in cluster i c is the - photo 4
(3)
where Picture 5 is the membership value of data pattern j in cluster i , c is the number of clusters, Picture 6 the distance (Euclidean) between data pattern j and prototype Picture 7 , Picture 8 the membership value of labelled data pattern j in cluster i , Picture 9 indicates if data pattern j is labelled, p is the fuzzifier parameter (commonly 2) and Picture 10 is a scaling parameter for maintaining balance between supervised and unsupervised learning components such that supervised learning does not dominate. The authors recommend to be proportional to N M where M is the number of labelled data The - photo 11 to be proportional to N / M , where M is the number of labelled data. The algorithm is summarised in Algorithm 1.
Fig 2 Matrix-based real encoding representing prototypes as solutions - photo 12
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