This ebook describes tested and complex tools for lowering the dimensionality of numerical databases. each one description begins from intuitive principles, develops the required mathematical info, and ends by way of outlining the algorithmic implementation. The textual content presents a lucid precis of evidence and ideas when it comes to recognized tools in addition to contemporary advancements in nonlinear dimensionality aid. equipment are all defined from a unifying viewpoint, which is helping to spotlight their respective strengths and shortcomings. The presentation will entice statisticians, laptop scientists and knowledge analysts, and different practitioners having a easy historical past in information or computational learning.

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