Lectures on the Nearest Neighbor Method [[electronic resource] /] / by Gérard Biau, Luc Devroye
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| Autore: |
Biau Gérard
|
| Titolo: |
Lectures on the Nearest Neighbor Method [[electronic resource] /] / by Gérard Biau, Luc Devroye
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Edizione: | 1st ed. 2015. |
| Descrizione fisica: | IX, 290 p. ; : il. en col |
| Disciplina: | 510 |
| Soggetto topico: | Probabilities |
| Pattern recognition | |
| Statistics | |
| Probability Theory and Stochastic Processes | |
| Pattern Recognition | |
| Statistics and Computing/Statistics Programs | |
| Persona (resp. second.): | DevroyeLuc |
| Note generali: | MSC 68Wxx ; 60Exx ; 62Exx ; 68T10 |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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). . |
| Titolo autorizzato: | Lectures on the Nearest Neighbor Method |
| ISBN: | 3-319-25388-3 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910300246703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Springer Series in the Data Sciences, . 2365-5674