Eigenfunctions of Lapalace operators as Integrators of local models.

Ronald Coifman
Yale University

We show that a variety of linear and nonlinear problems for which some local description exists can be integrated into global consistent models by finding the first few eigenvectors of an */appropriate/* Laplace operator . Examples include linear and nonlinear difference equations on graphs (sensor localization problem), nonlinear independent components analysis (inverse problems, intrinsic variables ) , extraction of slow variables in dynamical systems

Ronald Coifman Yale, Amit Singer Princeton

Presentation (PDF File)

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