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  -

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