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L p -consistency and Stone’s theorem
other
Author(s):
Gérard Biau
,
Luc Devroye
Publication date
(Online):
December 09 2015
Publisher:
Springer International Publishing
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Wrappers for feature subset selection
Ron Kohavi
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George H. John
(1997)
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Probability Inequalities for Sums of Bounded Random Variables
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On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
V N Vapnik
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Book Chapter
Publication date (Print):
2015
Publication date (Online):
December 09 2015
Pages
: 111-130
DOI:
10.1007/978-3-319-25388-6_10
SO-VID:
ecfc9a95-7483-4288-a9df-658aaa50dedd
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Book chapters
pp. 3
Order statistics and nearest neighbors
pp. 13
The nearest neighbor distance
pp. 25
The k-nearest neighbor density estimate
pp. 33
Uniform consistency
pp. 43
Weighted k-nearest neighbor density estimates
pp. 53
Local behavior
pp. 75
Entropy estimation
pp. 95
The nearest neighbor regression function estimate
pp. 105
The 1-nearest neighbor regression function estimate
pp. 111
L p -consistency and Stone’s theorem
pp. 131
Pointwise consistency
pp. 153
Uniform consistency
pp. 165
Advanced properties of uniform order statistics
pp. 175
Rates of convergence
pp. 193
Regression: the noiseless case
pp. 211
The choice of a nearest neighbor estimate
pp. 223
Basics of classification
pp. 233
The nearest neighbor rule: fixed k
pp. 241
The nearest neighbor rule: variable k
pp. 251
Appendix
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