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TY - GEN ID - cogprints3919 UR - http://cogprints.org/3919/ A1 - Gorban, A.N. A1 - Zinovyev, A.Yu. TI - Elastic principal manifolds and their practical applications Y1 - 2004/05// N2 - 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. AV - public KW - principal surface KW - machine learning KW - SOM KW - vizualization ER -