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arXiv 1602.02151cs.LGstat.ML

Exploiting the Structure: Stochastic Gradient Methods Using Raw Clusters

Princeton University(普林斯顿大学);Cornell University(康奈尔大学)

Zeyuan Allen-Zhu, Yang Yuan, Karthik Sridharan

英文摘要:

The amount of data available in the world is growing faster than our ability to deal with it. However, if we take advantage of the internal \emph{structure}, data may become much smaller for machine learning purposes. In this paper we focus on one of the fundamental machine learning tasks, empirical risk minimization (ERM), and provide faster algorithms with the help from the clustering structure of the data. We introduce a simple notion of raw clustering that can be efficiently computed from the data, and propose two algorithms based on clustering information. Our accelerated algorithm ClusterACDM is built on a novel Haar transformation applied to the dual space of the ERM problem, and our variance-reduction based algorithm ClusterSVRG introduces a new gradient estimator using clustering. Our algorithms outperform their classical counterparts ACDM and SVRG respectively.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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