Lectures on the Nearest Neighbor Method

Lectures on the Nearest Neighbor Method

Devroye, Luc; Biau, Gerard

Springer International Publishing AG

03/2019

290

Mole

Inglês

9783319797823

15 a 20 dias

462

Descrição não disponível.
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.
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Density Estimation;Nearest Neighbor Method;Order Statistics;Regression Estimation;Stone's Theorem