题目🟫🐾：Centre-Augmented L2-Type Regularization for Subgroup Learning

报告人：林华珍 教授 （西南财经大学 国家杰青）

地点🧗‍♀️：腾讯会议室

时间📚：2021年12月17日（星期五） 下午16:00-17：00

摘要：The existing methods for subgroup analysis can be roughly divided into two categories: finite mixture models (FMM) and regularization methods with an L1 -type penalty. In this paper, by introducing the group centres and L2 -type penalty in the loss function, we propose a novel centre-augmented regularization (CAR) method; this method can be regarded as a unification of the regularization method and FMM and hence exhibits higher efficiency and robustness and simpler computations than the existing methods. Particularly, its computational complexity is reduced from the $O(n^2)$ of the conventional pairwise-penalty method to only $O(nK)$, where n is the sample size and K is the number of subgroups. The asymptotic normality of CAR is established, and the convergence of the algorithm is proven. CAR is applied to a dataset from a multicenter clinical trial: Buprenorphine in the Treatment of Opiate Dependence; a larger $R^2$ is produced and three additional significant variables are identified compared to those of the existing methods.

腾讯会议： ID🦹🏼🫐：342-362-561  密码🦥🔖：969534

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