Title
Bayesian Classification and Feature Selection from Finite Data Sets
Abstract
Feature selection aims to select the smallest subset of features for a specified level of performance. The optimal achievable classification performance on a feature subset is summarized by its Receiver Operating Curve (ROC). When infinite data is available, the Neyman-Pearson (NP) design procedure provides the most efficient way of obtaining this curve. In practice the design procedure is applied to density estimates from finite data sets. We perform a detailed statistical analysis of the resulting error propagation on finite alphabets. We show that the estimated performance curve (EPC) produced by the design procedure is arbitrarily accurate given sufficient data, independent of the size of the feature set. However, the underlying likelihood ranking procedure is highly sensitive to errors that reduces the probability that the EPC is in fact the ROC. In the worst case, guaranteeing that the EPC is equal to the ROC may require data sizes exponential in the size of the feature set. These results imply that in theory the NP design approach may only be valid for characterizing relatively small feature subsets, even when the performance of any given classifier can be estimated very accurately. We discuss the practical limitations for on-line methods that ensures that the NP procedure operates in a statistically valid region.
Year
Venue
Keywords
2013
UAI'00 Proceedings of the Sixteenth conference on Uncertainty in artificial intelligence
feature selection,bayesian classification,feature subset,finite data sets,np procedure,finite data set,data sizes exponential,small feature subsets,design procedure,feature set,estimated performance curve,np design approach,ranking procedure,density estimation,receiver operator curve,statistical analysis
DocType
Volume
ISBN
Journal
abs/1301.3843
1-55860-709-9
Citations 
PageRank 
References 
3
0.62
5
Authors
3
Name
Order
Citations
PageRank
Frans Coetzee137028.76
Steve Lawrence26194872.30
C. Lee Giles3111541549.48