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arXiv 1209.5260cs.LG
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面向大数据的超高维特征选择

Towards Ultrahigh Dimensional Feature Selection for Big Data

Nanyang Technological University(南洋理工大学);University of Technology, Sydney(悉尼科技大学);University of California(加利福尼亚大学)

Mingkui Tan, Ivor W. Tsang, Li Wang

摘要:

本文提出了一种新的自适应特征缩放方案,用于大数据上的超高维特征选择。为了有效地解决这个问题,我们首先将其转化为一个凸半无限规划(SIP)问题,然后提出了一个有效的\emph{feature generating paradigm}。与传统的基于梯度的方法进行优化的所有输入功能相比,所提出的方法迭代激活一组功能,并解决了一系列的多核学习(MKL)子问题的规模大大减少。为了进一步加快训练速度,我们建议通过改进的加速邻近梯度方法以原始形式解决MKL子问题。由于这种优化方案,一些有效的缓存技术也被开发出来。该特征生成范式能够保证解在温和的条件下全局收敛,并获得较低的特征选择偏差。此外,该方法可以解决两个具有挑战性的任务,特征选择:1)基于组的特征选择与复杂的结构和2)非线性特征选择与显式特征映射。在包含数千万数据点的$O(10^{14})$特征的合成数据集和真实数据集上进行的综合实验表明,该方法在泛化性能和训练效率方面优于现有的特征选择方法。

英文摘要:

In this paper, we present a new adaptive feature scaling scheme for ultrahigh-dimensional feature selection on Big Data. To solve this problem effectively, we first reformulate it as a convex semi-infinite programming (SIP) problem and then propose an efficient \emph{feature generating paradigm}. In contrast with traditional gradient-based approaches that conduct optimization on all input features, the proposed method iteratively activates a group of features and solves a sequence of multiple kernel learning (MKL) subproblems of much reduced scale. To further speed up the training, we propose to solve the MKL subproblems in their primal forms through a modified accelerated proximal gradient approach. Due to such an optimization scheme, some efficient cache techniques are also developed. The feature generating paradigm can guarantee that the solution converges globally under mild conditions and achieve lower feature selection bias. Moreover, the proposed method can tackle two challenging tasks in feature selection: 1) group-based feature selection with complex structures and 2) nonlinear feature selection with explicit feature mappings. Comprehensive experiments on a wide range of synthetic and real-world datasets containing tens of million data points with $O(10^{14})$ features demonstrate the competitive performance of the proposed method over state-of-the-art feature selection methods in terms of generalization performance and training efficiency.

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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