Lectures on the Nearest Neighbor Method

• Κύριοι συγγραφείς: Biau, Gérard (Συγγραφέας), Devroye, Luc (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: Springer Series in the Data Sciences,
• Θέματα: Mathematics.; Pattern recognition.; Probabilities.; Statistics.; Probability Theory and Stochastic Processes.; Pattern Recognition.; Statistics and Computing/Statistics Programs.

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, analyzi...

Πίνακας περιεχομένων:

• 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.