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arXiv 1306.6709cs.LGcs.AIstat.ML
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特征向量和结构化数据的度量学习综述

A Survey on Metric Learning for Feature Vectors and Structured Data

University of Southern California(南加利福尼亚大学);Laboratoire Hubert Curien UMR 5516(于贝尔·居里安实验室(UMR 5516));Université de Saint-Etienne(圣艾蒂安大学)

Aurélien Bellet, Amaury Habrard, Marc Sebban

摘要:

在机器学习、模式识别和数据采掘中,普遍存在对测量数据之间的距离或相似性的适当方法的需求,但是针对特定问题手工制作这种良好的度量通常是困难的。这导致了指标学习的出现,其目的是从数据中自动学习指标,并在过去十年中引起了人们对机器学习及相关领域的广泛兴趣。这篇调查论文提出了一个系统的评价度量学习文献,突出了每种方法的优点和缺点。我们特别关注Mahalanobis距离度量学习,这是一个经过充分研究和成功的框架,但同时也提出了一系列最近出现的强大替代方法,包括非线性度量学习,相似性学习和局部度量学习。最近的趋势和扩展,如半监督度量学习,直方图数据的度量学习和泛化保证的推导,也包括在内。最后,本文讨论了结构化数据的度量学习,特别是编辑远程学习,并试图概述未来几年度量学习面临的挑战。

英文摘要:

The need for appropriate ways to measure the distance or similarity between data is ubiquitous in machine learning, pattern recognition and data mining, but handcrafting such good metrics for specific problems is generally difficult. This has led to the emergence of metric learning, which aims at automatically learning a metric from data and has attracted a lot of interest in machine learning and related fields for the past ten years. This survey paper proposes a systematic review of the metric learning literature, highlighting the pros and cons of each approach. We pay particular attention to Mahalanobis distance metric learning, a well-studied and successful framework, but additionally present a wide range of methods that have recently emerged as powerful alternatives, including nonlinear metric learning, similarity learning and local metric learning. Recent trends and extensions, such as semi-supervised metric learning, metric learning for histogram data and the derivation of generalization guarantees, are also covered. Finally, this survey addresses metric learning for structured data, in particular edit distance learning, and attempts to give an overview of the remaining challenges in metric learning for the years to come.

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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