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基于内核的Copula流程

Kernel-Based Copula Processes
课程网址: http://videolectures.net/ecmlpkdd09_ng_kbcp/  
主讲教师: Eddie K. H. Ng
开课单位: 多伦多大学
开课时间: 2009-10-20
课程语种: 英语
中文简介:
基于内核的Copula流程(KCP)是一种用于分析多个时间序列的新型通用工具,这里提出了一个统一框架,用于模拟多个时间序列之间的相互依赖性以及单个时间序列中的长程依赖性。 KCP以着名的copula理论为基础,允许对复杂的相互依赖结构进行建模,同时利用核方法的强大功能进行有效学习和简约模型规范。具体而言,KCP可以被视为高斯过程的概括,使得能够进行非高斯预测。这种非高斯特征在各种应用领域中极为重要。作为一个应用,我们考虑来自美国各地气象站的温度系列。不仅KCP发现了很好地模拟了各个温度变化的异方差性,KCP还成功地发现了不同站点之间的相互依赖性。例如,这些结果有利于天气衍生品交易和风险管理。
课程简介: Kernel-based Copula Processes (KCPs), a new versatile tool for analyzing multiple time-series, are proposed here as a unifying framework to model the interdependency across multiple time-series and the long-range dependency within an individual time-series. KCPs build on the celebrated theory of copula which allows for the modeling of complex interdependence structure, while leveraging the power of kernel methods for efficient learning and parsimonious model specification. Specifically, KCPs can be viewed as a generalization of the Gaussian processes enabling non-Gaussian predictions to be made. Such non-Gaussian features are extremely important in a variety of application areas. As one application, we consider temperature series from weather stations across the US. Not only are KCPs found to have modeled the heteroskedasticity of the individual temperature changes well, the KCPs also successfully discovered the interdependencies among different stations. Such results are beneficial for weather derivatives trading and risk management, for example.
关 键 词: 时间序列; 有效学习; 简约模型
课程来源: 视频讲座网
最后编审: 2019-03-27:lxf
阅读次数: 95