TY - JOUR
T1 - Geometric diffusions for the analysis of data from sensor networks
AU - Coifman, Ronald R.
AU - Maggioni, Mauro
AU - Zucker, Steven W.
AU - Kevrekidis, Ioannis G.
PY - 2005/10/1
Y1 - 2005/10/1
N2 - Harmonic analysis on manifolds and graphs has recently led to mathematical developments in the field of data analysis. The resulting new tools can be used to compress and analyze large and complex data sets, such as those derived from sensor networks or neuronal activity datasets, obtained in the laboratory or through computer modeling. The nature of the algorithms (based on diffusion maps and connectivity strengths on graphs) possesses a certain analogy with neural information processing, and has the potential to provide inspiration for modeling and understanding biological organization in perception and memory formation.
AB - Harmonic analysis on manifolds and graphs has recently led to mathematical developments in the field of data analysis. The resulting new tools can be used to compress and analyze large and complex data sets, such as those derived from sensor networks or neuronal activity datasets, obtained in the laboratory or through computer modeling. The nature of the algorithms (based on diffusion maps and connectivity strengths on graphs) possesses a certain analogy with neural information processing, and has the potential to provide inspiration for modeling and understanding biological organization in perception and memory formation.
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U2 - 10.1016/j.conb.2005.08.012
DO - 10.1016/j.conb.2005.08.012
M3 - Review article
C2 - 16150587
AN - SCOPUS:25844521242
VL - 15
SP - 576
EP - 584
JO - Current Opinion in Neurobiology
JF - Current Opinion in Neurobiology
SN - 0959-4388
IS - 5
ER -