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学习概率分布的多线性表示法进行有效推理

Learning Multi-Linear Representations of Probability Distributions for Efficient Inference
课程网址: http://videolectures.net/ecmlpkdd09_samdani_lmlr/  
主讲教师: Rajhans Samdani
开课单位: 伊利诺伊大学
开课时间: 2009-10-20
课程语种: 英语
中文简介:
我们研究了用于表示离散变量上的概率分布的多线性多项式表示(MLR)的类。最近,MLR被认为是中间表示,有助于在表示为图形模型的分布中进行推断。我们证明MLR是离散分布的表达表示,并且可以用于简明地表示在其他常用表示中具有指数大小的分布类,同时支持表示大小的时间线性概率推断。我们的主要贡献是提供学习使用MLR表示的有界大小分布的技术,这些技术支持有效的概率推理。我们提出了用于MLR的精确和近似学习的算法,并且通过与贝叶斯网表示的比较,实验证明MLR表示提供更快的推理而不牺牲推理准确性。
课程简介: We examine the class of multi-linear polynomial representations (MLR) for expressing probability distributions over discrete variables. Recently, MLR have been considered as intermediate representations that facilitate inference in distributions represented as graphical models. We show that MLR is an expressive representation of discrete distributions and can be used to concisely represent classes of distributions which have exponential size in other commonly used representations, while supporting probabilistic inference in time linear in the size of the representation. Our key contribution is presenting techniques for learning bounded-size distributions represented using MLR, which support efficient probabilistic inference. We propose algorithms for exact and approximate learning for MLR and, through a comparison with Bayes Net representations, demonstrate experimentally that MLR representations provide faster inference without sacrificing inference accuracy.
关 键 词: 离散变量; 概率分布; 多线性
课程来源: 视频讲座网
最后编审: 2020-07-13:yumf
阅读次数: 75