Small Sample Size Effects in Statistical Pattern Recognition: Recommendations for Practitioners
IEEE Transactions on Pattern Analysis and Machine Intelligence
Statistical and neural classifiers: an integrated approach to design
Statistical and neural classifiers: an integrated approach to design
Liknon Feature Selection for Microarrays
WILF '07 Proceedings of the 7th international workshop on Fuzzy Logic and Applications: Applications of Fuzzy Sets Theory
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Feature selection in high-dimensional biomedical data, such as gene expression arrays or biomedical spectra constitutes and important step towards biomarker discovery. Controlling feature selection bias is considered a major issue for a realistic assessment of the feature selection process. We propose a theoretical, probabilistic framework for the analysis of selection bias. In particular, we derive the means of calculating the true selection error when the performance estimates of the feature subsets are mutually dependent and the distribution density of the true error is arbitrary. We demonstrate in an extensive series of experiments the utility of the theoretical derivations with real-world datasets. We discuss the importance of understanding feature selection bias for the small sample size (n) / high dimensionality (p) situation, typical for biomedical data (genomics, proteomics, spectroscopy).