Events
DMS Colloquium: Yifan Cui |
Time: Feb 19, 2018 (04:00 PM) |
Location: Parker Hall 250 |
Details: Speaker: Yifan Cui, University of North Carolina, Chapel Hill Title: Tree-based Survival Models and Precision Medicine Abstract: In the first part, we develop a theoretical framework for survival tree and forest models. We first investigate the method from the aspect of splitting rules. We show that existing approaches lead to a potentially biased estimation of the within-node survival and cause non-optimal selection of the splitting rules. Based on this observation, we develop an adaptive concentration bound result which quantifies the variance component for survival forest models. Furthermore, we show with two specific examples how these concentration bounds, combined with properly designed splitting rules, yield consistency results. |