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Manifold Feature Index: A novel index based on high-dimensional data simplification
In this paper, we propose a novel stock index model, namely the manifold feature(MF) index, to reflect the overall price activity of the entire stock market.
High-Dimensional Data Set Simplification by Laplace-Beltrami Operator
Moreover, we develop feature point detection methods for the functions defined on an unorganized data point set in high-dimensional space, and devise metrics for measuring the fidelity of the simplified data set to the original set.
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