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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/27857

    Title: Efficient scheme for parametric fitting of data in arbitrary dimensions
    Authors: Pang, Ning-Ning;Tzeng, Wen-Jer;Kao, Hisen-Ching
    Contributors: 淡江大學物理學系
    Date: 2008
    Issue Date: 2013-07-09 15:20:10 (UTC+8)
    Publisher: College Park: American Physical Society
    Abstract: We propose an efficient scheme for parametric fitting expressed in terms of the Legendre polynomials. For continuous systems, our scheme is exact and the derived explicit expression is very helpful for further analytical studies. For discrete systems, our scheme is almost as accurate as the method of singular value decomposition. Through a few numerical examples, we show that our algorithm costs much less CPU time and memory space than the method of singular value decomposition. Thus, our algorithm is very suitable for a large amount of data fitting. In addition, the proposed scheme can also be used to extract the global structure of fluctuating systems. We then derive the exact relation between the correlation function and the detrended variance function of fluctuating systems in arbitrary dimensions and give a general scaling analysis.
    Relation: Physical Review E 78(1), 011112(11pages)
    DOI: 10.1103/PhysRevE.78.011112
    Appears in Collections:[Graduate Institute & Department of Physics] Journal Article

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