The Reconstruction of Dark Energy with the Ridge Regression Approach
文献类型：期刊论文
| 作者 | Huang, Long3,4 ; Yang, Xiaofeng1,2,4; Liu, Xiang1,2,4
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| 刊名 | ASTROPHYSICAL JOURNAL
 |
| 出版日期 | 2021-05-01 |
| 卷号 | 913期号:1页码:6 |
| ISSN号 | 0004-637X |
| DOI | 10.3847/1538-4357/abf64a |
| 通讯作者 | Yang, Xiaofeng(xfyang@xao.ac.cn) |
| 英文摘要 | Whether or not dark energy evolves with time may be determined by the nonparametric method. In order to avoid instability of the derivative for the functional data, we linearize the luminosity-distance integral formula in near-flat space by adopting Lagrange interpolation for the numerical integral, and proposing a method of combining principal component analysis (PCA) and biased estimation on the basis of ridge regression analysis to reconstruct the regression parameters. We also present a principal component selection criterion to better distinguish between ?CDM and w(z) not equal -1 models by reconstruction. We define the type I error as the situation where w (true) = -1 but w (recon) not equal -1, and the type II error as the situation where w (true) not equal -1 but w (recon) = -1; we use the various w(z) functions to test the method. The preliminary test results demonstrate that the PCA-biased method can be used to determine the most probable behavior of w(z). Finally, we apply this method to recent supernova measurements, reconstructing the continuous history of w(z) out to redshift z = 1.5. |
| WOS关键词 | HUBBLE-SPACE-TELESCOPE ; DIGITAL SKY SURVEY ; IA SUPERNOVAE ; COSMOLOGICAL CONSTRAINTS ; DISCOVERIES |
| 资助项目 | CAS Light of West China Program[2016-QNXZ-B-25] ; CAS Pioneer Hundred Talents Program |
| WOS研究方向 | Astronomy & Astrophysics |
| 语种 | 英语 |
| WOS记录号 | WOS:000655279200001 |
| 出版者 | IOP PUBLISHING LTD |
| 资助机构 | CAS Light of West China Program ; CAS Pioneer Hundred Talents Program |
| 源URL | [http://ir.xao.ac.cn/handle/45760611-7/4200]  |
| 专题 | 星系宇宙学研究团组 |
| 通讯作者 | Yang, Xiaofeng |
| 作者单位 | 1.Key Lab Radio Astrophys Xinjiang Prov, Urumqi 830011, Peoples R China 2.Chinese Acad Sci, Key Lab Radio Astron, Nanjing 210008, Peoples R China 3.Univ Chinese Acad Sci, Beijing 10039, Peoples R China 4.Chinese Acad Sci, Xinjiang Astron Observ, Urumqi 830011, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Long,Yang, Xiaofeng,Liu, Xiang. The Reconstruction of Dark Energy with the Ridge Regression Approach[J]. ASTROPHYSICAL JOURNAL,2021,913(1):6. |
| APA | Huang, Long,Yang, Xiaofeng,&Liu, Xiang.(2021).The Reconstruction of Dark Energy with the Ridge Regression Approach.ASTROPHYSICAL JOURNAL,913(1),6. |
| MLA | Huang, Long,et al."The Reconstruction of Dark Energy with the Ridge Regression Approach".ASTROPHYSICAL JOURNAL 913.1(2021):6. |
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来源：新疆天文台
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