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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Dalton, L.A. Dougherty, E.R. |
| Copyright Year | 2010 |
| Description | Author affiliation: Dept. of Electrical and Computer Engineering, Texas A&M University, College Station, 77843 USA (Dalton, L.A.; Dougherty, E.R.) |
| Abstract | Small sample classifier design has become a major issue in the biological and medical communities, owing to the recent development of high-throughput genomic and proteomic technologies. And as the problem of estimating classifier error is already handicapped by limited available information, it is further compounded by the necessity of reusing training-data for error estimation. Due to the difficulty of error estimation, all currently popular techniques have been heuristically devised, rather than rigorously designed based on statistical inference and optimization. However, a recently proposed error estimator has placed the problem into an optimal mean-square error (MSE) signal estimation framework in the presence of uncertainty. This results in a Bayesian approach to error estimation based on a parameterized family of feature-label distributions. These Bayesian error estimators are optimal when averaged over a given family of distributions, unbiased when averaged over a given family and all samples, and analytically address a trade-off between robustness (modeling assumptions) and accuracy (minimum mean-square error). Closed form solutions have been provided for two important examples: the discrete classification problem and linear classification of Gaussian distributions. Here we discuss the Bayesian minimum mean-square error (MMSE) error estimator and demonstrate performance on real biological data under Gaussian modeling assumptions. |
| Starting Page | 1 |
| Ending Page | 4 |
| File Size | 629884 |
| Page Count | 4 |
| File Format | |
| ISBN | 9781612847917 |
| ISSN | 2150301X |
| e-ISBN | 9781612847924 |
| DOI | 10.1109/GENSIPS.2010.5719674 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2010-11-10 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Error analysis Bayesian methods Estimation Genomics Data models Bioinformatics |
| Content Type | Text |
| Resource Type | Article |
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