Exact bagging with k-nearest neighbour classifiers

被引:0
|
作者
Caprile, B [1 ]
Merler, S [1 ]
Furlanello, C [1 ]
Jurman, G [1 ]
机构
[1] ITC irst, Ctr Ric Sci & Technol, I-38050 Trento, Italy
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中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A formula is derived for the exact computation of Bagging classifiers when the base model adopted is k-Nearest Neighbour (k-NN). The formula, that holds in any dimension and does not require the extraction of bootstrap replicates, proves that Bagging cannot improve 1-Nearest Neighbour. It also proves that, for k > 1, Bagging has a smoothing effect on k-NN. Convergence of empirically bagged k-NN predictors to the exact formula is also considered. Efficient approximations to the exact formula are derived, and their applicability to practical cases is illustrated.
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页码:72 / 81
页数:10
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