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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.<\/jats:p>","DOI":"10.1142\/s1793536911000660","type":"journal-article","created":{"date-parts":[[2011,9,8]],"date-time":"2011-09-08T09:53:56Z","timestamp":1315475636000},"page":"95-113","source":"Crossref","is-referenced-by-count":22,"title":["SOME CONSIDERATIONS ON PHYSICAL ANALYSIS OF DATA"],"prefix":"10.1142","volume":"03","author":[{"given":"ZHAOHUA","family":"WU","sequence":"first","affiliation":[{"name":"Department of Earth, Ocean, and Atmospheric Science and Center for Ocean-Atmospheric Prediction Studies, Florida State University, Tallahassee, FL 32306-4520, USA"}]},{"given":"NORDEN E.","family":"HUANG","sequence":"additional","affiliation":[{"name":"Research Center for Adaptive Data Analysis, National Central University, Chungli, Taiwan"}]},{"given":"XIANYAO","family":"CHEN","sequence":"additional","affiliation":[{"name":"First Institute of Oceanography, State Oceanic Administration, Qingdao, Shandong 266061, China"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1002\/0471722235"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1090\/mbk\/071"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0611224104"},{"key":"rf4","unstructured":"F.\u00a0Capra, The Tao of Physics: An Exploration of the Parallels Between Modern Physics and Eastern Mysticism, 4th edn. 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