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Lectures on the Nearest Neighbor Method

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Lectures on the Nearest Neighbor Method/ by Gérard Biau, Luc Devroye.
Author:	Biau, Gérard.
other author:	Devroye, Luc.
Description:	IX, 290 p. 4 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Probabilities. -
Online resource:	https://doi.org/10.1007/978-3-319-25388-6
ISBN:	9783319253886

Lectures on the Nearest Neighbor Method
Biau, Gérard.

Lectures on the Nearest Neighbor Method[electronic resource] /by Gérard Biau, Luc Devroye. - 1st ed. 2015. - IX, 290 p. 4 illus. in color.online resource. - Springer Series in the Data Sciences,2365-5674. - Springer Series in the Data Sciences,.

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.

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). .

ISBN: 9783319253886

Standard No.: 10.1007/978-3-319-25388-6doiSubjects--Topical Terms:

527847
Probabilities.

LC Class. No.: QA273.A1-274.9

Dewey Class. No.: 519.2

Lectures on the Nearest Neighbor Method
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