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Lectures on the Nearest Neighbor Method

Lectures on the Nearest Neighbor Method
Catalogue Information
Nome campo dettagli
Dewey Class 519.2
Titolo Lectures on the Nearest Neighbor Method ([EBook]) / by Gérard Biau, Luc Devroye.
Autore Biau, Gérard
Added Personal Name Devroye, Luc author.
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2015.
Pubblicazione Cham : : Springer International Publishing : : Imprint: Springer, , 2015.
Physical Details IX, 290 p. 4 illus. in color. : online resource.
Serie 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
Link alle Opere Legate
  • Riferimenti soggetto: .
  • Mathematics .
  • Pattern Recognition .
  • Probabilities .
  • Probability theory and stochastic processes .
  • Statistics .
  • Statistics and Computing/Statistics Programs .

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