Some considerations on physical analysis of data

Zhaohua Wu, Norden E. Huang, Xianyao Chen

研究成果: 雜誌貢獻期刊論文同行評審

21 引文 斯高帕斯(Scopus)

摘要

In this paper, we present some general considerations about data analysis from the perspective of a physical scientist and advocate the physical, instead of mathematical, analysis of data. These considerations have been accompanying our development of novel adaptive, local analysis methods, especially the empirical mode decomposition and its major variation, the ensemble empirical mode decomposition, and its preliminary mathematical explanations. A particular emphasis will be on the advantages and disadvantages of mathematical and physical constraints associated with various analysis methods. We argue that, using data analysis in a given temporal domain of observation as an example, the mathematical constraints imposed on data may lead to difficulties in understanding the physics behind the data. With such difficulties in mind, we promote adaptive, local analysis method, which satisfies fundamental physical principle of consequent evolution of a system being not able to change the past evolution of the system. We also argue, using the ensemble empirical mode decomposition as an example, that noise can be helpful to extract physically meaningful signals hidden in noisy data.

原文???core.languages.en_GB???
頁(從 - 到)95-113
頁數19
期刊Advances in Adaptive Data Analysis
3
發行號1-2
DOIs
出版狀態已出版 - 4月 2011

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