"3919","Elastic principal manifolds and their practical applications ","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. ","http://cogprints.org/3919/","Gorban, A.N. and Zinovyev, A.Yu.","UNSPECIFIED"," Gorban, A.N. and Zinovyev, A.Yu. (2004) Elastic principal manifolds and their practical applications. [Preprint] ","","2004-05"