Journal
ELECTRONIC JOURNAL OF STATISTICS
Volume 12, Issue 2, Pages 3601-3638Publisher
INST MATHEMATICAL STATISTICS-IMS
DOI: 10.1214/18-EJS1480
Keywords
Precision medicine; multiple treatments; kernel learning; prescriptive variable selection
Categories
Funding
- NSF [I1S1632951, DMS-1821231]
- NIH [R01GM126550]
Ask authors/readers for more resources
Recent exploration of the optimal individual treatment rule (ITR) for patients has attracted a lot of attentions due to the potential heterogeneous response of patients to different treatments. An optimal ITR is a decision function based on patients' characteristics for the treatment that maximizes the expected clinical outcome. Current literature mainly focuses on two types of methods, model-based and classification-based methods. Model-based methods rely on the estimation of conditional mean of outcome instead of directly targeting decision boundaries for the optimal ITR. As a result, they may yield suboptimal decisions. In contrast, although classification based methods directly target the optimal ITR by converting the problem into weighted classification, these methods rely on using correct weights for all subjects, which may cause model misspecification. To overcome the potential drawbacks of these methods, we propose a simple and flexible one-step method to directly learn (D-learning) the optimal ITR without model and weight specifications. Multi-category D-learning is also proposed for the case with multiple treatments. A new effect measure is proposed to quantify the relative strength of an treatment for a patient. We show estimation consistency and establish tight finite sample error bounds for the proposed D-learning. Numerical studies including simulated and real data examples are used to demonstrate the competitive performance of D-learning.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available