کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1897374 | 1044529 | 2010 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Decomposing data sets into skewness modes
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Decomposing data sets into skewness modes Decomposing data sets into skewness modes](/preview/png/1897374.png)
چکیده انگلیسی
We derive the nonlinear equations satisfied by the coefficients of linear combinations that maximize their skewness when their variance is constrained to take a specific value. In order to numerically solve these nonlinear equations we develop a gradient-type flow that preserves the constraint. In combination with the Karhunen-Loève decomposition this leads to a set of orthogonal modes with maximal skewness. For illustration purposes we apply these techniques to atmospheric data; in this case the maximal-skewness modes correspond to strongly localized atmospheric flows. We have also checked that the results are statistically significant in spite of the finite length of the data. We show how these ideas can be extended, for example to maximal-flatness modes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 239, Issue 16, 15 August 2010, Pages 1503-1508
Journal: Physica D: Nonlinear Phenomena - Volume 239, Issue 16, 15 August 2010, Pages 1503-1508
نویسندگان
Rubén A. Pasmanter, Frank M. Selten,