| Issue |
Math. Model. Nat. Phenom.
Volume 10, Number 3, 2015
Model Reduction
|
|
|---|---|---|
| Page(s) | 206 - 211 | |
| DOI | https://doi.org/10.1051/mmnp/201510315 | |
| 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
Arbor, MI
48103
USA
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: damelin@umich.edu.
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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