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Elastic principal manifolds and their practical applications

Gorban, A.N. and Zinovyev, A.Yu. (2004) Elastic principal manifolds and their practical applications. [Preprint]

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Abstract

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.

Item Type:Preprint
Keywords:principal surface, machine learning, SOM, vizualization
Subjects:Computer Science > Statistical Models
ID Code:3919
Deposited By:Gorban, Prof Alexander N.
Deposited On:06 Nov 2004
Last Modified:12 Sep 2007 17:54

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