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拓扑约束潜变量模型

Topologically-Constrained Latent Variable Models
课程网址: http://videolectures.net/icml08_urtasun_topcon/  
主讲教师: Raquel Urtasun
开课单位: 多伦多大学
开课时间: 2008-07-29
课程语种: 英语
中文简介:
在降维方法中,数据通常嵌入在欧几里德潜在空间中。但是对于某些数据集来说这是不合适的。例如,在人体运动数据中,我们期望潜在的空间是圆柱形或环形的,用欧几里得空间很难捕获。在本文中,我们提出了一系列在非欧几里德潜在空间中嵌入数据的方法。我们的重点是高斯过程潜变量模型。在人体运动建模的背景下,这允许我们(a)学习具有可解释的潜在方向的模型,例如,能够进行样式/内容分离,以及(b)超出数据集的概括,使我们能够学习运动风格之间的转换,即使这样转换不存在于数据中
课程简介: In dimensionality reduction approaches, the data are typically embedded in a Euclidean latent space. However for some data sets this is inappropriate. For example, in human motion data we expect latent spaces that are cylindrical or a toroidal, that are poorly captured with a Euclidean space. In this paper, we present a range of approaches for embedding data in a non-Euclidean latent space. Our focus is the Gaussian Process latent variable model. In the context of human motion modeling this allows us to (a) learn models with interpretable latent directions enabling, for example, style/content separation, and (b) generalize beyond the data set enabling us to learn transitions between motion styles even though such transitions are not present in the data
关 键 词: 降维方法; 欧几里得空间; 潜变量模型
课程来源: 视频讲座网
最后编审: 2019-04-21:lxf
阅读次数: 67