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A Penalized Shared-parameter Algorithm for Estimating Optimal Dynamic Treatment Regimens. (arXiv:2107.07875v2 [stat.ML] UPDATED)
May 27, 2022, 1:11 a.m. | Palash Ghosh, Trikay Nalamada, Shruti Agarwal, Maria Jahja, Bibhas Chakraborty
stat.ML updates on arXiv.org arxiv.org
A dynamic treatment regimen (DTR) is a set of decision rules to personalize
treatments for an individual using their medical history. The Q-learning based
Q-shared algorithm has been used to develop DTRs that involve decision rules
shared across multiple stages of intervention. We show that the existing
Q-shared algorithm can suffer from non-convergence due to the use of linear
models in the Q-learning setup, and identify the condition in which Q-shared
fails. Leveraging properties from expansion-constrained ordinary least-squares,
we give …
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