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The Reconstruction of Dark Energy with the Ridge Regression Approach
Huang, Long1,2; Yang, Xiaofeng1,3,4; Liu, Xiang1,3,4
2021-05-01
Source PublicationASTROPHYSICAL JOURNAL
ISSN0004-637X
Volume913Issue:1Pages:6
AbstractWhether 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.
Corresponding AuthorYang, Xiaofeng(xfyang@xao.ac.cn)
DOI10.3847/1538-4357/abf64a
Indexed BySCI ; SCI
Language英语
WOS KeywordHUBBLE-SPACE-TELESCOPE ; DIGITAL SKY SURVEY ; IA SUPERNOVAE ; COSMOLOGICAL CONSTRAINTS ; DISCOVERIES
Funding ProjectCAS Light of West China Program[2016-QNXZ-B-25] ; CAS Pioneer Hundred Talents Program
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000655279200001
PublisherIOP PUBLISHING LTD
Funding OrganizationCAS Light of West China Program ; CAS Pioneer Hundred Talents Program
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.xao.ac.cn/handle/45760611-7/4201
Collection射电天文研究室_星系宇宙学研究团组
Corresponding AuthorYang, Xiaofeng
Affiliation1.Chinese Acad Sci, Xinjiang Astron Observ, Urumqi 830011, Peoples R China
2.Univ Chinese Acad Sci, Beijing 10039, Peoples R China
3.Chinese Acad Sci, Key Lab Radio Astron, Nanjing 210008, Peoples R China
4.Key Lab Radio Astrophys Xinjiang Prov, Urumqi 830011, Peoples R China
First Author AffilicationXinjiang Astronomical Observatory, Chinese Academy of Sciences
Corresponding Author AffilicationXinjiang Astronomical Observatory, Chinese Academy of Sciences
Recommended Citation
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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