Accelerated proximal stochastic dual coordinate ascent for regularized loss minimization

Accelerated proximal stochastic dual coordinate ascent for regularized loss minimization
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DOI:
10.1007/s10107-014-0839-0
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发表时间:
2013-09
影响因子:
2.7
通讯作者:
Shai Shalev-Shwartz;Tong Zhang
Shai Shalev-Shwartz;Tong Zhang
中科院分区:
数学2区
文献类型:
--
作者:
Shai Shalev-Shwartz;Tong Zhang

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我们介绍了一个近端版本的随机对偶坐标上升法,并展示了如何使用内外迭代过程来加速该方法。我们分析了框架的运行时间,并获得了改善各种关键机器学习优化问题的最新结果的比率,包括SVM,逻辑回归,岭回归,Lasso和多类SVM。实验验证了我们的理论发现。
We introduce a proximal version of the stochastic dual coordinate ascent method and show how to accelerate the method using an inner-outer iteration procedure. We analyze the runtime of the framework and obtain rates that improve state-of-the-art results for various key machine learning optimization problems including SVM, logistic regression, ridge regression, Lasso, and multiclass SVM. Experiments validate our theoretical findings.