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dc:title "HTML Summary of #3919 \n\nElastic principal manifolds and their practical applications\n\n\n";
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bibo: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. "^^xsd:string;
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