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高斯过程的非参数贝叶斯密度建模

Nonparametric Bayesian Density Modeling with Gaussian Processes
课程网址: http://videolectures.net/icml08_adams_nbd/  
主讲教师: Ryan Prescott Adams
开课单位: 多伦多大学
开课时间: 2008-08-04
课程语种: 英语
中文简介:
我们提出了高斯过程密度采样器(GPDS),一种可交换的生成模型,用于非参数贝叶斯密度估计。从GPDS中提取的样本与来自固定密度函数的精确,独立样本一致,该函数是从高斯过程先验绘制的函数的变换。我们的公式允许我们使用马尔可夫链蒙特卡罗从数据中推断出未知密度,其提供来自密度函数的后验分布和数据空间上的预测分布的样本。我们描述了两种这样的MCMC方法。两种方法还允许推断高斯过程的超参数。
课程简介: We present the Gaussian Process Density Sampler (GPDS), an exchangeable generative model for use in nonparametric Bayesian density estimation. Samples drawn from the GPDS are consistent with exact, independent samples from a fixed density function that is a transformation of a function drawn from a Gaussian process prior. Our formulation allows us to infer an unknown density from data using Markov chain Monte Carlo, which gives samples from the posterior distribution over density functions and from the predictive distribution on data space. We describe two such MCMC methods. Both methods also allow inference of the hyperparameters of the Gaussian process.
关 键 词: 高斯过程密度采样器; 生成模型; 非参数贝叶斯密度估计
课程来源: 视频讲座网
最后编审: 2019-04-17:lxf
阅读次数: 112