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基于层次混合密度模型的多流形学习框架

Multiple Manifold Learning Framework based on Hierarchical Mixture Density Model
课程网址: http://videolectures.net/ecmlpkdd08_wang_mmlf/  
主讲教师: Peter Tino, Xiaoxia Wang, Mark A. Fardal
开课单位: 伯明翰大学
开课时间: 2008-10-10
课程语种: 英语
中文简介:
已经开发了若干流形学习技术以在给定数据的情况下学习提供原始数据的紧凑表示的单个低维流形。然而,对于包含可能具有不同维度的多个流形的复杂数据集,现有的流形学习方法不太可能发现所有有趣的较低维度结构。因此,我们引入了一个分层流形学习框架来发现各种潜在的低维结构。该框架基于分层混合潜变量模型,其中每个子模型是捕获单个流形的潜变量模型。我们提出了一种新的多流形近似策略,用于初始化我们的分层模型。该技术首先在具有混合1,2和3维结构的人工数据上得到验证。然后它被用于自动检测被破坏的卫星星系中的低维结构。
课程简介: Several manifold learning techniques have been developed to learn, given a data, a single lower dimensional manifold providing a compact representation of the original data. However, for complex data sets containing multiple manifolds of possibly of different dimensionalities, it is unlikely that the existing manifold learning approaches can discover all the interesting lower-dimensional structures. We therefore introduce a hierarchical manifolds learning framework to discover a variety of the underlying low dimensional structures. The framework is based on hierarchical mixture latent variable model, in which each submodel is a latent variable model capturing a single manifold. We propose a novel multiple manifold approximation strategy used for the initialization of our hierarchical model.The technique is first verified on artificial data with mixed 1-, 2- and 3-dimensional structures. It is then used to automatically detect lower-dimensional structures in disrupted satellite galaxies.
关 键 词: 流形学习技术; 低维流形; 分层流形
课程来源: 视频讲座网
最后编审: 2019-03-23:lxf
阅读次数: 31