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Accelerated dual-averaging primal–dual method for composite convex minimization
Optimization Methods & Software ( IF 2.2 ) Pub Date : 2020-01-20 , DOI: 10.1080/10556788.2020.1713779
Conghui Tan 1 , Yuqiu Qian 2 , Shiqian Ma 3 , Tong Zhang 4
Affiliation  

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 that solves empirical risk minimization, and its advantages on handling sparse data are demonstrated both theoretically and empirically.



中文翻译:

复合凸最小化的加速对偶平均本原对偶方法

双重平均类型方法由于能够有效地提升解决方案结构(例如稀疏性)而被广泛用于工业机器学习应用中。在本文中,我们提出了一种新颖的加速双重平均原始对偶算法,以最小化复合凸函数。我们还推导了该方法的随机版本,该版本解决了经验风险最小化,并且在处理稀疏数据方面的优势在理论上和经验上都得到了证明。

更新日期:2020-01-20
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