Comparison of Validity Indexes for Fuzzy Clusters of fMRI Data

In computational neuroimaging, the analysis of functional Magnetic Resonance Images (fMRIs) using fuzzy clustering methods is a promising data driven approach to explore brain functional connectivity. In this complex domain, accurate evaluation procedures based on suitable indexes, able to identify optimal clustering results, are of great values strongly affecting the validity and interpretation of the overall fMRI data analysis. A large number of clustering validation indexes have been proposed in literature. This work proposes a comparison analysis of eight representative fuzzy and crisp clustering validation indexes. Salient aspects of the proposed strategy are the use of the widely adopted fuzzy c-means algorithm as underlying fuzzy clustering algorithm and the use of resting state fMRI data from the NITRC repository.

[1]  Maurizio Corbetta,et al.  The human brain is intrinsically organized into dynamic, anticorrelated functional networks. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[2]  P. Boesiger,et al.  A new correlation‐based fuzzy logic clustering algorithm for FMRI , 1998, Magnetic resonance in medicine.

[3]  M. V. D. Heuvel,et al.  Exploring the brain network: A review on resting-state fMRI functional connectivity , 2010, European Neuropsychopharmacology.

[4]  Ujjwal Maulik,et al.  Validity index for crisp and fuzzy clusters , 2004, Pattern Recognit..

[5]  Christian Windischberger,et al.  Toward discovery science of human brain function , 2010, Proceedings of the National Academy of Sciences.

[6]  David N. Kennedy,et al.  The NITRC image repository , 2016, NeuroImage.

[7]  Y. Fukuyama,et al.  A new method of choosing the number of clusters for the fuzzy c-mean method , 1989 .

[8]  Shigeo Abe DrEng Pattern Classification , 2001, Springer London.

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

[10]  Ce Zhang,et al.  Performance Evaluation of Cluster Validity Indices (CVIs) on Multi/Hyperspectral Remote Sensing Datasets , 2016, Remote. Sens..

[11]  Shengrui Wang,et al.  FCM-Based Model Selection Algorithms for Determining the Number of Clusters , 2004, Pattern Recognit..

[12]  Olatz Arbelaitz,et al.  Towards a standard methodology to evaluate internal cluster validity indices , 2011, Pattern Recognit. Lett..

[13]  Carl D. Hacker,et al.  Clustering of Resting State Networks , 2012, PloS one.

[14]  Olatz Arbelaitz,et al.  An extensive comparative study of cluster validity indices , 2013, Pattern Recognit..

[15]  Anke Meyer-Bäse,et al.  Model-free functional MRI analysis based on unsupervised clustering , 2004 .

[16]  Donald W. Bouldin,et al.  A Cluster Separation Measure , 1979, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[17]  Gerardo Beni,et al.  A Validity Measure for Fuzzy Clustering , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[18]  Boudewijn P. F. Lelieveldt,et al.  A new cluster validity index for the fuzzy c-mean , 1998, Pattern Recognit. Lett..

[19]  Elisabetta Binaghi,et al.  A Soft Davies-Bouldin Separation Measure , 2018, 2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE).