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Tree stability diagnostics and some remedies for instability

✍ Scribed by Felix Dannegger


Book ID
101239364
Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
150 KB
Volume
19
Category
Article
ISSN
0277-6715

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✦ Synopsis


Stability aspects of recursive partitioning procedures are investigated. Using resampling techniques, diagnostic tools to assess single split stability and overall tree stability are introduced. To correct for the procedure's preference for covariates with many unique realizations, corrected p-values are used in the factor selection component of the algorithm. Finally, methods to stabilize tree-based predictors are discussed.


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The system characteristic polynomial is replaced by its inverse which is decomposed as a combination of lower-degree and lower-degree inverse polynomials. A sequence of polynomials of descending degree is determined by successive decomposition. A necessary and sufficient condition of stability as w