气候变化领域集成服务门户(CCPortal): Discovering multiscale and self-similar structure with data-driven wavelets

CCPortal

DOI	10.1073/pnas.2021299118
	Discovering multiscale and self-similar structure with data-driven wavelets
	Floryan D.; Graham M.D.
发表日期	2021
ISSN	0027-8424
卷号	118 期号:1
英文摘要	Many materials, processes, and structures in science and engineering have important features at multiple scales of time and/or space; examples include biological tissues, active matter, oceans, networks, and images. Explicitly extracting, describing, and defining such features are difficult tasks, at least in part because each system has a unique set of features. Here, we introduce an analysis method that, given a set of observations, discovers an energetic hierarchy of structures localized in scale and space. We call the resulting basis vectors a "data-driven wavelet decomposition." We show that this decomposition reflects the inherent structure of the dataset it acts on, whether it has no structure, structure dominated by a single scale, or structure on a hierarchy of scales. In particular, when applied to turbulence-a highdimensional, nonlinear, multiscale process-the method reveals self-similar structure over a wide range of spatial scales, providing direct, model-free evidence for a century-old phenomenological picture of turbulence. This approach is a starting point for the characterization of localized hierarchical structures in multiscale systems, which we may think of as the building blocks of these systems. © 2021 National Academy of Sciences. All rights reserved.
英文关键词	Data-driven decomposition; Machine learning; Multiscale; Turbulence; Wavelet
语种	英语
scopus关键词	article; decomposition; machine learning
来源期刊	Proceedings of the National Academy of Sciences of the United States of America
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/160675
作者单位	Floryan, D., Department of Chemical and Biological Engineering, University of Wisconsin-Madison, Madison, WI 53706, United States; Graham, M.D., Department of Chemical and Biological Engineering, University of Wisconsin-Madison, Madison, WI 53706, United States
推荐引用方式 GB/T 7714	Floryan D.,Graham M.D.. Discovering multiscale and self-similar structure with data-driven wavelets[J],2021,118(1).
APA	Floryan D.,&Graham M.D..(2021).Discovering multiscale and self-similar structure with data-driven wavelets.Proceedings of the National Academy of Sciences of the United States of America,118(1).
MLA	Floryan D.,et al."Discovering multiscale and self-similar structure with data-driven wavelets".Proceedings of the National Academy of Sciences of the United States of America 118.1(2021).