The Reconstruction of Dark Energy with the Ridge Regression Approach

doi:10.3847/1538-4357/abf64a

CORC > 新疆天文台 > 研究单元未命名 > 射电天文研究室 > 星系宇宙学研究团组

	The Reconstruction of Dark Energy with the Ridge Regression Approach
	Huang, Long 3,4; Yang, Xiaofeng 1,2,4; Liu, Xiang 1,2,4
刊名	ASTROPHYSICAL JOURNAL
	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.
资助项目	CAS Light of West China Program[2016-QNXZ-B-25] ; CAS Pioneer Hundred Talents Program
WOS关键词	HUBBLE-SPACE-TELESCOPE ; DIGITAL SKY SURVEY ; IA SUPERNOVAE ; COSMOLOGICAL CONSTRAINTS ; DISCOVERIES
WOS研究方向	Astronomy & Astrophysics
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000655279200001
资助机构	CAS Light of West China Program ; CAS Pioneer Hundred Talents Program
内容类型	期刊论文
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.