03597nam 22005895 450 991030024670332120220120123340.03-319-25388-310.1007/978-3-319-25388-6(MiAaPQ)EBC4188208(DE-He213)978-3-319-25388-6(PPN)190884444(EXLCZ)99371000000054190320151208d2015 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierLectures on the Nearest Neighbor Method[electronic resource] /by Gérard Biau, Luc Devroye1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.IX, 290 p. ; il. en colSpringer Series in the Data Sciences,2365-5674MSC 68Wxx ; 60Exx ; 62Exx ; 68T10Includes bibliographical references and index.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).   .Springer Series in the Data Sciences,2365-5674ProbabilitiesPattern recognitionStatistics Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Pattern Recognitionhttps://scigraph.springernature.com/ontologies/product-market-codes/I2203XStatistics and Computing/Statistics Programshttps://scigraph.springernature.com/ontologies/product-market-codes/S12008Probabilities.Pattern recognition.Statistics .Probability Theory and Stochastic Processes.Pattern Recognition.Statistics and Computing/Statistics Programs.510Biau Gérardauthttp://id.loc.gov/vocabulary/relators/aut755683Devroye Lucauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQhttps://link.springer.com/book/10.1007/978-3-319-25388-6BOOK9910300246703321Lectures on the Nearest Neighbor Method2545885UNINA