arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1701.02804stat.MLcs.LG
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基于成对比较的相似函数跟踪

Similarity Function Tracking using Pairwise Comparisons

University of Michigan(密歇根大学)

Kristjan Greenewald, Stephen Kelley, Brandon Oselio, Alfred O. Hero

摘要:

最近在距离度量学习方面的工作集中在学习数据的变换,这些变换最好与指定的成对相似性和相异性约束(通常由人类观察者提供)保持一致。由于更好地适应距离或相似性度量,学习的转换导致改进的检索、分类和聚类算法。在这里,我们解决的问题,学习这些转换时,底层的约束生成过程是非平稳的。这种非平稳性可能是由于用于生成约束的地面实况聚类的变化或类结构明显的特征子空间的变化。我们提出了在线凸包络强自适应动态学习(OCELAD),一个通用的自适应,在线学习和跟踪最佳指标的方法,因为它们随着时间的推移而变化,是非常强大的各种非平稳行为的变化度量。我们将OCELAD框架应用于在线学习者的集合。具体来说,我们创建了一个由一组具有不同学习率的并行COMID学习器组成的逆向初始化复合目标镜像下降(COMID)集成(RICE),并在合成数据和高度非平稳的Twitter数据集上展示了无参数RICE-OCELAD度量学习。我们表现出显着的性能改进和增加的鲁棒性,相对于以前提出的批处理和在线距离度量学习算法的非平稳效应。

英文摘要:

Recent work in distance metric learning has focused on learning transformations of data that best align with specified pairwise similarity and dissimilarity constraints, often supplied by a human observer. The learned transformations lead to improved retrieval, classification, and clustering algorithms due to the better adapted distance or similarity measures. Here, we address the problem of learning these transformations when the underlying constraint generation process is nonstationary. This nonstationarity can be due to changes in either the ground-truth clustering used to generate constraints or changes in the feature subspaces in which the class structure is apparent. We propose Online Convex Ensemble StrongLy Adaptive Dynamic Learning (OCELAD), a general adaptive, online approach for learning and tracking optimal metrics as they change over time that is highly robust to a variety of nonstationary behaviors in the changing metric. We apply the OCELAD framework to an ensemble of online learners. Specifically, we create a retro-initialized composite objective mirror descent (COMID) ensemble (RICE) consisting of a set of parallel COMID learners with different learning rates, and demonstrate parameter-free RICE-OCELAD metric learning on both synthetic data and a highly nonstationary Twitter dataset. We show significant performance improvements and increased robustness to nonstationary effects relative to previously proposed batch and online distance metric learning algorithms.

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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