arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1609.09178cs.LGcs.CV
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OPML:一种在线度量学习的一遍封闭形式解决方案

OPML: A One-Pass Closed-Form Solution for Online Metric Learning

National Key Laboratory for Novel Software Technology, Nanjing University(南京大学计算机软件新技术国家重点实验室);School of Computing and Information Technology, University of Wollongong(伍伦贡大学计算与信息技术学院)

Wenbin Li, Yang Gao, Lei Wang, Luping Zhou, Jing Huo, Yinghuan Shi

摘要:

为了在大规模数据的在线度量学习中实现较低的计算成本,本文提出了一种一遍封闭形式的解决方案,即OPML。典型地,所提出的OPML首先采用一次通过三元组构造策略,其目的是仅使用非常少量的三元组来近似通过批处理方式获得的整个原始三元组的表示能力。然后,OPML采用封闭形式的解决方案来更新新到来的样本的度量,这导致低空间(即,$O(d)$)和时间(即,$O(d^2)$)复杂度,其中$d$是特征维度。此外,进一步提出了OPML的扩展(即COPML),以增强实际情况下前几个样本来自同一类(即,冷启动问题)。在实验中,我们系统地评估了我们的方法(OPML和COPML)在三个典型任务上的性能,包括UCI数据分类、人脸验证和视频中的异常事件检测,旨在全面评估所提出的方法在不同样本数、不同特征维数和不同特征提取方式(即,手工制作和深度学习)。结果表明,OPML和COPML可以以很低的计算代价获得很好的性能。此外,COPML冷启动设置下的有效性进行了实验验证。

英文摘要:

To achieve a low computational cost when performing online metric learning for large-scale data, we present a one-pass closed-form solution namely OPML in this paper. Typically, the proposed OPML first adopts a one-pass triplet construction strategy, which aims to use only a very small number of triplets to approximate the representation ability of whole original triplets obtained by batch-manner methods. Then, OPML employs a closed-form solution to update the metric for new coming samples, which leads to a low space (i.e., $O(d)$) and time (i.e., $O(d^2)$) complexity, where $d$ is the feature dimensionality. In addition, an extension of OPML (namely COPML) is further proposed to enhance the robustness when in real case the first several samples come from the same class (i.e., cold start problem). In the experiments, we have systematically evaluated our methods (OPML and COPML) on three typical tasks, including UCI data classification, face verification, and abnormal event detection in videos, which aims to fully evaluate the proposed methods on different sample number, different feature dimensionalities and different feature extraction ways (i.e., hand-crafted and deeply-learned). The results show that OPML and COPML can obtain the promising performance with a very low computational cost. Also, the effectiveness of COPML under the cold start setting is experimentally verified.

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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