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Catalogue Information
Field name	Details
Dewey Class	519.2
Title	Lectures on the Nearest Neighbor Method ([EBook]) / by Gérard Biau, Luc Devroye.
Author	Biau, Gérard
Added Personal Name	Devroye, Luc author.
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2015.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2015.
Physical Details	IX, 290 p. 4 illus. in color. : online resource.
Series	Springer Series in the Data Sciences 2365-5674
ISBN	9783319253886
Summary Note	This text presents a wide-ranging and rigorous overview of nearest neighbor methods, one of the most important paradigms in machine learning. Now in one self-contained volume, this book systematically covers key statistical, probabilistic, combinatorial and geometric ideas for understanding, analyzing and developing nearest neighbor methods. Gérard Biau is a professor at Université Pierre et Marie Curie (Paris). Luc Devroye is a professor at the School of Computer Science at McGill University (Montreal). .:
Contents note	Part I: Density Estimation -- Order Statistics and Nearest Neighbors -- The Expected Nearest Neighbor Distance -- The k-nearest Neighbor Density Estimate -- Uniform Consistency -- Weighted k-nearest neighbor density estimates.- Local Behavior -- Entropy Estimation -- Part II: Regression Estimation -- The Nearest Neighbor Regression Function Estimate -- The 1-nearest Neighbor Regression Function Estimate -- LP-consistency and Stone's Theorem -- Pointwise Consistency -- Uniform Consistency -- Advanced Properties of Uniform Order Statistics -- Rates of Convergence -- Regression: The Noisless Case -- The Choice of a Nearest Neighbor Estimate -- Part III: Supervised Classification -- Basics of Classification -- The 1-nearest Neighbor Classification Rule -- The Nearest Neighbor Classification Rule. Appendix -- Index. .
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-319-25388-6
Links to Related Works	Subject References: Mathematics . Pattern Recognition . Probabilities . Probability theory and stochastic processes . Statistics . Statistics and Computing/Statistics Programs . Authors: Biau, Gérard . Devroye, Luc . Corporate Authors: SpringerLink (Online service) . Series: Springer Series in the Data Sciences . Classification: 519.2 .

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Lectures on the Nearest Neighbor Method

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