Name
Abstract | ||
|---|---|---|
Cross validation (CV) has been widely used for choosing and evaluating statistical models. The main purpose of this study is to explore the behavior of CV in tree-based models. We achieve this goal by an experimental approach, which compares a cross-validated tree classifier with the Bayes classifier that is ideal for the underlying distribution. The main observation of this study is that the difference between the testing and training errors from a cross-validated tree classifier and the Bayes classifier empirically has a linear regression relation. The slope and the coefficient of determination of the regression model can serve as performance measure of a cross-validated tree classifier. Moreover, simulation reveals that the performance of a cross-validated tree classifier depends on the geometry, parameters of the underlying distributions, and sample sizes. Our study can explain, evaluate, and justify the use of CV in tree-based models when the sample size is relatively small. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/s10799-009-0052-7 | Information Technology and Management |
Keywords | Field | DocType |
linear regression,cross validation,sample size,statistical model,coefficient of determination,bayes classifier,regression model | Pattern recognition,Naive Bayes classifier,Computer science,Statistical model,Artificial intelligence,Classifier (linguistics),Bayes error rate,Cross-validation,Bayes classifier,Sample size determination,Quadratic classifier | Journal |
Volume | Issue | ISSN |
10 | 4 | 1385-951X |
Citations | PageRank | References |
1 | 0.35 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Seoung Bum Kim | 1 | 205 | 34.54 |
| Xiaoming Huo | 2 | 157 | 24.83 |
| K. Leung | 3 | 487 | 67.33 |