2000
@inproceedings{DGP2000,
vgclass = {refpap},
author = {Carlotta Domeniconi and Dimitrios Gunopulos and Jing Peng},
title = {Adaptive Metric Nearest Neighbor Classification},
booktitle = {Proceedings of the 2000 IEEE Conference on Computer
Vision and Pattern Recognition (CVPR2000)},
address = {Hilton Head, SC, USA},
organization = {IEEE Computer Society},
month = {June~13--15},
year = {2000},
url = {http://dx.doi.org/10.1109/CVPR.2000.855863},
abstract = {Nearest neighbor classification assumes locally constant
class conditional probabilities. This assumption becomes invalid in
high dimensions with finite samples due to the curse of dimensionality.
Severe bias can be introduced under these conditions when using the
nearest neighbor rule. We propose a locally adaptive nearest neighbor
classification method to try to minimize bias. We use a Chi-squared
distance analysis to compute a flexible metric for producing
neighborhoods that are highly adaptive to query locations.
Neighborhoods are elongated along less relevant feature dimensions and
constricted along most influential ones. As a result, the class
conditional probabilities tend to be smoother in the modified
neighborhoods, whereby better classification performance can be
achieved. The efficacy of our method is validated and compared against
other techniques using a variety of simulated and real world data.},
}