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通过机器学习进行时间序列重构:在一个耦合气候模式下北太平洋板块的间歇性和年代际变化的揭示

Time Series Reconstruction via Machine Learning: Revealing Decadal Variability and Intermittency in the North Pacific Sector of a Coupled Climate Model
课程网址: http://videolectures.net/cidu2011_giannakis_time_series/  
主讲教师: Dimitris Giannakis
开课单位: 纽约大学
开课时间: 2012-06-27
课程语种: 英语
中文简介:
大气海洋科学中的许多过程发展出多尺度的时空模式,具有复杂的底层动力学和与时间相关的外部作用力。由于我们对气候现象的理解和预测有可能取得进展,从不完全观测中经验地提取变异性是一个当代广泛关注的问题。在此,我们提出了一种分析气候时间序列的技术,该技术利用观测数据点之间的几何关系来恢复强非线性动力学(如间歇性)的特征,这是经典奇异谱分析(SSA)无法获得的。该方法利用在适当的时间滞后嵌入后评估的拉普拉斯特征映射,生成观测样本的简化表示,在这种情况下,尽管数据集具有非线性流形结构,但矩阵代数的标准工具仍可用于执行截断奇异值分解。作为一个应用,我们研究了一个700年的CCSM3模型平衡整合的北太平洋区域的上层海洋温度变化。不采用先验假设(如统计中的周期性),我们的机器学习技术可以恢复三种不同类型的时间过程:(1)周期过程,包括每年和半年的周期;(2)具有类似太平洋十年振荡的空间模式的十年尺度变率;(3)相关的间歇过程。与黑潮伸展和副热带和次极地环流强度的变化有关。后者的方差很小(因此不会被SSA捕获),但其动态作用预计是显著的。
课程简介: Many processes in atmosphere-ocean science develop multiscale temporal and spatial patterns, with complex underlying dynamics and time-dependent external forcings. Because of the possible advances in our understanding and prediction of climate phenomena, extracting that variability empirically from incomplete observations is a problem of wide contemporary interest. Here, we present a technique for analyzing climatic time series that exploits the geometrical relationships between the observed data points to recover features characteristic of strongly nonlinear dynamics (such as intermittency), which are not accessible to classical Singular Spectrum Analysis (SSA). The method utilizes Laplacian eigenmaps, evaluated after suitable time-lagged embedding, to produce a reduced representation of the observed samples, where standard tools of matrix algebra can be used to perform truncated Singular Value Decomposition despite the nonlinear manifold structure of the data set. As an application, we study the variability of the upper-ocean temperature in the North Pacific sector of a 700-year equilibrated integration of the CCSM3 model. Imposing no a priori assumptions (such as periodicity in the statistics), our machine-learning technique recovers three distinct types of temporal processes: (1) periodic processes, including annual and semiannual cycles; (2) decadal-scale variability with spatial patterns resembling the Pacific Decadal Oscillation; (3) intermittent processes associated with the Kuroshio extension and variations in the strength of the subtropical and subpolar gyres. The latter carry little variance (and are therefore not captured by SSA), yet their dynamical role is expected to be significant.
关 键 词: 经典奇异谱分析; 矩阵代数; 北太平洋板块; 年代际变化
课程来源: 视频讲座网
最后编审: 2021-01-30:nkq
阅读次数: 28