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排列分布有效推理的自适应表示

Adaptive Representations for Efficient Inference for Distributions on Permutations
课程网址: http://videolectures.net/ripd07_guestrin_are/  
主讲教师: Carlos Guestrin
开课单位: 卡内基梅隆大学
开课时间: 2008-02-25
课程语种: 英语
中文简介:
排列在许多现实世界的问题中无处不在,例如投票,排名和数据关联。表示排列的不确定性具有挑战性,因为存在$ n!$可能性,并且典型的紧凑表示(例如图形模型)不能有效地捕获与排列相关联的互斥约束。在本次演讲中,我们使用傅立叶的“低频”项  分解以紧凑地表示这种分布。我们首先描述两个标准的概率推理操作,调节和边缘化,如何在这些低频分量方面完全在傅里叶域中执行,而不必枚举$ n!$项。我们还描述了一种新颖的方法,用于自适应地选择该表示的复杂性,以便控制所得到的近似误差。我们展示了我们的方法在真实的基于摄像头的多人跟踪设置方面的有效性。
课程简介: Permutations are ubiquitous in many real world problems, such as voting, rankings and data association. Representing uncertainty over permutations is challenging, since there are $n!$ possibilities, and typical compact representations, such as graphical models, cannot efficiently capture the mutual exclusivity constraints associated with permutations. In this talk, we use the ''low-frequency'' terms of a Fourier decomposition to represent such distributions compactly. We first describe how the two standard probabilistic inference operations, conditioning and marginalization, can be performed entirely in the Fourier domain in terms of these low frequency components, without ever enumeration $n!$ terms. We also describe a novel approach for adaptively picking the complexity of this representation in order control the resulting approximation error. We demonstrate the effectiveness of our approach on a real camera-based multi-people tracking setting. This presentation is joint work with Jon Huang and Leo Guibas.
关 键 词: 排列; 图形模型; 多人跟踪设置
课程来源: 视频讲座网
最后编审: 2020-06-22:chenxin
阅读次数: 37