Math. Model. Nat. Phenom.
Volume 10, Number 3, 2015Model Reduction
|Page(s)||206 - 211|
|Published online||22 June 2015|
Fuzzy Adaptive Resonance Theory, Diffusion Maps and their applications to Clustering and Biclustering
1 Mathematical Reviews, The American
Mathematical Society, Ann
2 Department of Mathematics, University of Michigan – Ann Arbor Ann Arbor, MI 48109 USA
3 Applied Computational Intelligence Laboratory, Department of Electrical and Computer Engineering, University of Missouri – Rolla, Rolla, MO 65409-0249 USA
4 GE Global Research, Niskayuna, NY 12309 USA
⋆ Corresponding author. E-mail: firstname.lastname@example.org.
In this paper, we describe an algorithm FARDiff (Fuzzy Adaptive Resonance Diffusion) which combines Diffusion Maps and Fuzzy Adaptive Resonance Theory to do clustering on high dimensional data. We describe some applications of this method and some problems for future research.
Dedicated to our friend and colleague Prof. Alexander Gorban
Mathematics Subject Classification: 94A15 / 94A08
Key words: diffusion maps / nonlinear dimensionality reduction / spectral / fuzzy adaptive resonance theory / fuzzy adaptive resonance diffusion / clustering / biclustering
© EDP Sciences, 2015
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