Clustering data by inhomogeneous chaotic map lattices

Citation
L. Angelini et al., Clustering data by inhomogeneous chaotic map lattices, PHYS REV L, 85(3), 2000, pp. 554-557
Citations number
15
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
85
Issue
3
Year of publication
2000
Pages
554 - 557
Database
ISI
SICI code
0031-9007(20000717)85:3<554:CDBICM>2.0.ZU;2-Q
Abstract
A new approach to clustering, based on the physical properties of inhomogen eous coupled chaotic maps, is presented. A chaotic map is assigned to each data point and short range couplings are introduced. The stationary regime of the system corresponds to a macroscopic attractor independent of the ini tial conditions. The mutual information between pairs of maps serves to par tition the data set in clusters, without prior assumptions about the struct ure of the underlying distribution of the data. Experiments on simulated an d real data sets show the effectiveness of the proposed algorithm.