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对称正定矩阵的广义字典学习及其在最近邻检索中的应用

Generalized Dictionary Learning for Symmetric Positive Definite Matrices with Application to Nearest Neighbor Retrieval
课程网址: http://videolectures.net/ecmlpkdd2011_sra_dictionary/  
主讲教师: Suvrit Sra
开课单位: 马克斯普朗克研究所
开课时间: 2011-11-30
课程语种: 英语
中文简介:
我们介绍了广义字典学习(GDL),这是一个简单但实用的在正定矩阵流形上学习字典的框架。我们将GDL应用到最近邻(NN)检索中,以说明GDL在机器学习和计算机视觉等学科中的重要性。GDL通过明确考虑数据的多种结构,将自己与传统的字典学习方法区别开来。特别是,gdl允许对正定矩阵执行稀疏编码,从而实现更好的nn检索。对多个协方差矩阵数据集的实验表明,GDL实现了与性能竞争的最先进技术。
课程简介: We introduce Generalized Dictionary Learning (GDL), a simple but practical framework for learning dictionaries over the manifold of positive definite matrices. We illustrate GDL by applying it to Nearest Neighbor (NN) retrieval, a task of fundamental importance in disciplines such as machine learning and computer vision. GDL distinguishes itself from traditional dictionary learning approaches by explicitly taking into account the manifold structure of the data. In particular, GDL allows performing "sparse coding" of positive definite matrices, which enables better NN retrieval. Experiments on several covariance matrix datasets show that GDL achieves performance rivaling state-of-the-art techniques.
关 键 词: 广义字典学习; 正定矩阵; 机器学习; 计算机视觉
课程来源: 视频讲座网
最后编审: 2019-11-30:lxf
阅读次数: 51