论文标题

加速双平均原始偶偶联方法,用于最小化复合凸构

Accelerated Dual-Averaging Primal-Dual Method for Composite Convex Minimization

论文作者

Tan, Conghui, Qian, Yuqiu, Ma, Shiqian, Zhang, Tong

论文摘要

双重平均型方法有效地促进解决方案结构(例如稀疏性),因此在工业机器学习应用中广泛使用。在本文中,我们提出了一种新型的加速双重平均二元算法,以最大程度地减少复合凸函数。我们还得出了提出的方法的随机版本,该方法解决了经验风险的最小化,其处理稀疏数据的优势在理论上和经验上都得到了证明。

Dual averaging-type methods are widely used in industrial machine learning applications due to their ability to promoting solution structure (e.g., sparsity) efficiently. In this paper, we propose a novel accelerated dual-averaging primal-dual algorithm for minimizing a composite convex function. We also derive a stochastic version of the proposed method which solves empirical risk minimization, and its advantages on handling sparse data are demonstrated both theoretically and empirically.

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