Analysis of high dimensional brain data using prototype based fuzzy clustering

Abstract Background Brain Computer Interface (BCI) is explored as a new technology for communicating with computer over past few decades. It uses signals collected from brain to communicate, control or instruct computer or electronic devices. Analyzing the signals collected is most important task. If the collected data contains overlapping classes, directly applying classification techniques is inefficient. Methodology To examine and analyze the data, clustering can be useful to exploit information about dispersion of different classes. In this paper, we propose an agglomerative method for clustering high dimensional EEG signal data using multi prototype approach. This bi-phase algorithm chooses appropriate representatives in first phase, and combines them in second phase. We use squared error clustering in first phase to produce multiple prototypes located in highly dense region. A new combination measure is also proposed using fuzzy logic, to evaluate degree of prototypes can be combined. Results The proposed algorithm has same run time complexity as k-means. The proposed algorithm cluster the data with complex shapes and disperse. Experiments, carried out using synthetic and real datasets, demonstrate the performance of the proposed method in terms of accuracy and time.

[1]  Vipin Kumar,et al.  Chameleon: Hierarchical Clustering Using Dynamic Modeling , 1999, Computer.

[2]  B. Kannapiran,et al.  EEG signal classification using Principal Component Analysis with Neural Network in Brain Computer Interface applications , 2013, 2013 IEEE International Conference ON Emerging Trends in Computing, Communication and Nanotechnology (ICECCN).

[3]  Jon M. Kleinberg,et al.  An Impossibility Theorem for Clustering , 2002, NIPS.

[4]  Brendan Z. Allison,et al.  Brain-Computer Interfaces: A Gentle Introduction , 2009 .

[5]  Paul Geladi,et al.  Principal Component Analysis , 1987, Comprehensive Chemometrics.

[6]  J. MacQueen Some methods for classification and analysis of multivariate observations , 1967 .

[7]  Alex Alves Freitas,et al.  A Survey of Evolutionary Algorithms for Clustering , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

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

[9]  D. Tank,et al.  Brain magnetic resonance imaging with contrast dependent on blood oxygenation. , 1990, Proceedings of the National Academy of Sciences of the United States of America.

[10]  Ulrike von Luxburg,et al.  Influence of graph construction on graph-based clustering measures , 2008, NIPS.

[11]  Xudong Jiang,et al.  A multi-prototype clustering algorithm , 2009, Pattern Recognit..

[12]  Duoqian Miao,et al.  A graph-theoretical clustering method based on two rounds of minimum spanning trees , 2010, Pattern Recognit..

[13]  I K Fodor,et al.  A Survey of Dimension Reduction Techniques , 2002 .

[14]  Charles T. Zahn,et al.  Graph-Theoretical Methods for Detecting and Describing Gestalt Clusters , 1971, IEEE Transactions on Computers.

[15]  G. Schalk,et al.  Brain-Computer Interfaces Using Electrocorticographic Signals , 2011, IEEE Reviews in Biomedical Engineering.

[16]  Aristides Gionis,et al.  Clustering aggregation , 2005, 21st International Conference on Data Engineering (ICDE'05).