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The Christoffel-Darboux Kernel for Data Analysis (Hardcover, New edition)
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The Christoffel-Darboux Kernel for Data Analysis (Hardcover, New edition)
Series: Cambridge Monographs on Applied and Computational Mathematics
Expected to ship within 12 - 17 working days
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The Christoffel-Darboux kernel, a central object in approximation
theory, is shown to have many potential uses in modern data
analysis, including applications in machine learning. This is the
first book to offer a rapid introduction to the subject,
illustrating the surprising effectiveness of a simple tool.
Bridging the gap between classical mathematics and current evolving
research, the authors present the topic in detail and follow a
heuristic, example-based approach, assuming only a basic background
in functional analysis, probability and some elementary notions of
algebraic geometry. They cover new results in both pure and applied
mathematics and introduce techniques that have a wide range of
potential impacts on modern quantitative and qualitative science.
Comprehensive notes provide historical background, discuss advanced
concepts and give detailed bibliographical references. Researchers
and graduate students in mathematics, statistics, engineering or
economics will find new perspectives on traditional themes, along
with challenging open problems.
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