title: Graph-based normalization and whitening for non-linear data analysis.
abstract: In this paper we construct a graph-based normalization algorithm for non-linear data analysis. The principle of this algorithm is to get a spherical average neighborhood with unit radius. First we present a class of global dispersion measures used for "global normalization"; we then adapt these measures using a weighted graph to build a local normalization called "graph-based" normalization. Then we give details of the graph-based normalization algorithm and illustrate some results. In the second part we present a graph-based whitening algorithm built by analogy between the "global" and the "local" problem.
authors.affiliation: SAMOS-MATISSE, Paris, France.
authors.forename: Catherine
authors.initials: C
authors.lastname: Aaron
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D016000:Cluster Analysis; D003196:Computer Graphics; D006801:Humans; D015233:Models, Statistical; D017711:Nonlinear Dynamics