Magazine article from our research archive:

On Simultaneous Data-Based Dimension Reduction and Hidden Phase Identification

ABSTRACT

A problem of simultaneous dimension reduction and identification of hidden attractive manifolds in multidimensional data with noise is considered. The problem is approached in two consecutive steps: (i) embedding the original data in a sufficiently high-dimensional extended space in a way proposed by Takens in his embedding theorem, followed by (ii) a minimization of the residual functional. The residual functional is constructed to measure the distance between the original data in extended space and their reconstruction based on a low-dimensional description. The reduced representation of the analyzed data results from projection onto a fixed number of unknown low-dimensional ...

Related newspaper, magazine, and journal articles:

See all results. Or, try our Advanced Search.

Newsweek Harper's Magazine The Washington Post Chicago Tribune Crain's Chicago Business PRNewswire Pediatric News The Nation Advertising Age The Economist (US) A FREE trial gives you access to over 60 million articles! Access over 3,500 publications with a FREE trial!