DOI: 10.1073/pnas.2021299118
论文题名: Discovering multiscale and self-similar structure with data-driven wavelets
作者: Floryan D. ; Graham M.D.
刊名: Proceedings of the National Academy of Sciences of the United States of America
ISSN: 0027-8424
出版年: 2021
卷: 118, 期: 1 语种: 英语
英文关键词: Data-driven decomposition
; Machine learning
; Multiscale
; Turbulence
; Wavelet
Scopus关键词: article
; decomposition
; machine learning
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. Citation statistics:
资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/163886
Appears in Collections: 气候变化与战略
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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
Recommended Citation:
Floryan D.,Graham M.D.. Discovering multiscale and self-similar structure with data-driven wavelets[J]. Proceedings of the National Academy of Sciences of the United States of America,2021-01-01,118(1)