title: Elastic principal manifolds and their practical applications 
creator: Gorban, A.N.
creator: Zinovyev, A.Yu.
subject: Statistical Models
description: 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. 
date: 2004-05
type: Preprint
type: NonPeerReviewed
format: application/pdf
identifier: http://cogprints.org/3919/1/0405648.pdf
identifier:   Gorban, A.N. and Zinovyev, A.Yu.  (2004) Elastic principal manifolds and their practical applications.  [Preprint]     
relation: http://cogprints.org/3919/