| Efficient scheme for parametric fitting of data in arbitrary dimensions | |
|---|---|
| 學年 | 96 |
| 學期 | 1 |
| 出版（發表）日期 | 2008-01-01 |
| 作品名稱 | Efficient scheme for parametric fitting of data in arbitrary dimensions |
| 作品名稱（其他語言） | |
| 著者 | Pang, Ning-Ning; Tzeng, Wen-Jer; Kao, Hisen-Ching |
| 單位 | 淡江大學物理學系 |
| 出版者 | College Park: American Physical Society |
| 著錄名稱、卷期、頁數 | Physical Review E 78(1), 011112(11pages) |
| 摘要 | 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. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 1539-3755 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/27857 ) |
GoogleAnalytics