Clustering through SOM Consistency

Clustering is a classical tool in image analysis, with wide applications. Yet, most of its algorithmic solutions include a considerable amount of stochasticity, e.g. due to different initialisations. Here, we introduce a clustering method rooted on self organizing maps, that exploits the maps' intrinsic variability, to produce reliable clustering. Although only a subset of the data is consistently clustered, we show that this set is trustworthy, and can be used for posterior classification.

[1]  David J. C. MacKay,et al.  Information Theory, Inference, and Learning Algorithms , 2004, IEEE Transactions on Information Theory.

[2]  Stanley C. Ahalt,et al.  Competitive learning algorithms for vector quantization , 1990, Neural Networks.

[3]  Icrp Chapters 1 and 2 , 2007 .

[4]  Ricardo Vigário,et al.  Partial Clustering for Tissue Segmentation in MRI , 2008, ICONIP.

[5]  Mario Köppen,et al.  Advances in Neuro-Information Processing, 15th International Conference, ICONIP 2008, Auckland, New Zealand, November 25-28, 2008, Revised Selected Papers, Part I , 2009, International Conference on Neural Information Processing.

[6]  David J. Hand,et al.  Mixture Models: Inference and Applications to Clustering , 1989 .

[7]  M.Kleinberg Jon,et al.  Advances in Self-Organizing Maps, 7th International Workshop, WSOM 2009, St. Augustine, FL, USA, June 8-10, 2009. Proceedings , 2009, WSOM.

[8]  Esa Alhoniemi,et al.  Clustering of the self-organizing map , 2000, IEEE Trans. Neural Networks Learn. Syst..

[9]  James Bailey,et al.  Information theoretic measures for clusterings comparison: is a correction for chance necessary? , 2009, ICML '09.

[10]  Jarkko Ylipaavalniemi,et al.  Analyzing consistency of independent components: An fMRI illustration , 2008, NeuroImage.

[11]  D. Louis Collins,et al.  Design and construction of a realistic digital brain phantom , 1998, IEEE Transactions on Medical Imaging.

[12]  Teuvo Kohonen,et al.  Self-Organizing Maps , 2010 .

[13]  Manfred Jaeger,et al.  Proceedings of the 24th Annual International Conference on Machine Learning (ICML 2007) , 2007, ICML 2007.