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 |
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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: | 11 Mar 2011 08:55 |
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