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可扩展结构化高斯过程的核插值

Kernel Interpolation for Scalable Structured Gaussian Processes (KISS-GP)
课程网址: http://videolectures.net/icml2015_wilson_kernel_interpolation/  
主讲教师: Andrew Gordon Wilson
开课单位: 卡内基梅隆大学
开课时间: 2015-09-27
课程语种: 英语
中文简介:
我们介绍了一个新的结构化核插值(SKI)框架,它概括和统一了可扩展高斯过程(GPs)的诱导点方法。SKI方法通过核插值产生快速计算的核近似。SKI框架阐明了诱导点方法的质量如何取决于诱导点(即插值点)的数量、插值策略和GP协方差核。SKI还提供了一种机制,通过选择不同的内核插值策略来创建新的可伸缩内核方法。使用SKI和局部三次核插值,我们引入了KISS-GP,它1)比诱导点替代方案更具可扩展性,2)自然地支持克罗内克和特普利茨代数以获得大量额外的可伸缩性,而不需要任何网格数据,3)可用于快速和富有表现力的核学习。KISS-GP用于GP推理的时间和存储成本为O(n)。我们评估了KISS-GP的核矩阵逼近、核学习和自然声音建模。
课程简介: We introduce a new structured kernel interpolation (SKI) framework, which generalises and unifies inducing point methods for scalable Gaussian processes (GPs). SKI methods produce kernel approximations for fast computations through kernel interpolation. The SKI framework clarifies how the quality of an inducing point approach depends on the number of inducing (aka interpolation) points, interpolation strategy, and GP covariance kernel. SKI also provides a mechanism to create new scalable kernel methods, through choosing different kernel interpolation strategies. Using SKI, with local cubic kernel interpolation, we introduce KISS-GP, which is 1) more scalable than inducing point alternatives, 2) naturally enables Kronecker and Toeplitz algebra for substantial additional gains in scalability, without requiring any grid data, and 3) can be used for fast and expressive kernel learning. KISS-GP costs O(n) time and storage for GP inference. We evaluate KISS-GP for kernel matrix approximation, kernel learning, and natural sound modelling.
关 键 词: 高斯过程; 插值策略; 伸缩内核
课程来源: 视频讲座网
数据采集: 2023-04-16:chenxin01
最后编审: 2023-05-21:chenxin01
阅读次数: 72