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在线Group Lasso学习

Group Lasso Online Learning

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【作者】 郑乃嘉张海

【Author】 ZHENG Naijia;ZHANG Hai;School of Mathematics, Northwest University;School of Mechanical Engineering, Northwestern Polytechnical University;

【机构】 西北大学数学学院西北工业大学机电学院

【摘要】 对高维流式数据的在线组变量选择问题进行了研究,提出了带Group Lasso惩罚的逻辑斯蒂回归在线估计方法,并给出了GFTPRL (Group Follow the Proximally Regularized Leader)算法。通过给出GFTPRL算法的缺憾界,证明了算法在理论上是有效的。实验结果表明,对于稀疏模型GFTPRL算法的预测分类准确率明显优于其他主流稀疏在线算法。

【Abstract】 Aiming at solving the Group Lasso of high-dimensional data or streaming data, the online learning model for the group lasso is proposed, and a closed-form solution of this model is obtained. Then the GFTPRL(Group Follow the Proximally Regularized Leader) algorithm is applied to logistic regression. Moreover, the GFTPRL algorithm’s regret bound is proved to be good in online framework. Finally, the numerical results show that the prediction accuracy of the GFTPRL algorithm is significantly better than that of other mainstream sparse online algorithms when the sample size is large and the final model is sparse.

【基金】 国家自然科学基金—广东省大数据重大项目(U1811461);陕西省自然科学基金(2021JQ-429)~~
  • 【文献出处】 工程数学学报 ,Chinese Journal of Engineering Mathematics , 编辑部邮箱 ,2023年02期
  • 【分类号】O212.1;TP181
  • 【下载频次】61
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