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Statistical Inference for Smoothed Support Vector Machines in High Dimensions: From Offline to Online Data

高维平滑支持向量机的统计推断:从离线到在线数据

High-dimensional classification problems often rely on the Lasso-penalized linear Support Vector Machines (SVMs). However, the double non-smoothness induced by the hinge loss and Lasso penalty in this model makes statistical inference challenging and impedes computational efficiency. In this paper, we propose a unified inference framework in both offline and online settings. In the offline case, by applying a convolution smoothing technique to the hinge loss, we construct a…

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Doubly robust estimation of optimal treatment regimes for survival data using an instrumental variable

利用工具变量双重稳健估计生存数据的最优治疗规则

In survival contexts, substantial literature exists on estimating optimal treatment regimes, where treatments are assigned based on personal characteristics to maximize the survival probability. These methods assume that a set of covariates is sufficient to deconfound the treatment-outcome relationship. However, this assumption can be limited in observational studies or randomized trials in which non-adherence occurs. Therefore, we propose a novel approach to estimating…

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