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Sequential Bayesian Prediction in the Presence of Changepoints

Sequential Bayesian Prediction in the Presence of Changepoints
课程网址: http://videolectures.net/icml09_osborne_sbp/  
主讲教师: Michael Osborne
开课单位: 牛津大学
开课时间: 2009-08-26
课程语种: 英语
中文简介:
我们引入了一种新的顺序算法,用于在存在变化点的情况下进行稳健的预测。与先前关注检测和定位变化点问题的方法不同,我们的算法侧重于即使在可能存在这种变化时进行预测的问题。我们引入了非平稳协方差函数,用于模拟这些变化的高斯过程预测,然后继续演示如何有效地管理与那些协方差函数相关的超参数。通过使用贝叶斯积分,我们可以积分超参数,允许我们计算边际预测分布。此外,如果需要,可以将推定的变化点位置上的后验分布计算为我们的预测算法的自然副产品。
课程简介: We introduce a new sequential algorithm for making robust predictions in the presence of changepoints. Unlike previous approaches, which focus on the problem of detecting and locating changepoints, our algorithm focuses on the problem of making predictions even when such changes might be present. We introduce nonstationary co-variance functions to be used in Gaussian process prediction that model such changes, then proceed to demonstrate how to effectively manage the hyperparameters associated with those covariance functions. By using Bayesian quadrature, we can integrate out the hyperparameters, allowing us to calculate the marginal predictive distribution. Furthermore, if desired, the posterior distribution over putative changepoint locations can be calculated as a natural byproduct of our prediction algorithm.
关 键 词: 顺序算法; 非平稳协方差函数; 高斯过程
课程来源: 视频讲座网
最后编审: 2019-04-24:cwx
阅读次数: 37