%A A.N. Gorban
%A A.Yu. Zinovyev
%T Elastic principal manifolds and their practical applications

%X Principal manifolds defined as lines or surfaces passing through "the middle" of the data distribution serve as useful objects for many practical applications. We propose a new algorithm for fast construction of grid approximations of principal manifolds with given topology. One advantage of the method is a new form of the functional to be minimized, which becomes quadratic at the step of the vertexes positions refinement. This makes the algorithm very effective, especially for parallel implementations. 
%D 2004
%K principal surface, machine learning, SOM, vizualization
%L cogprints3919

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