Abstract Details

Name: Ranbir Sharma
Affiliation: PhD student, IISER Mohali, Punjab
Conference ID: ASI2021_141
Title : Reconstruction of Late-time cosmology from Principal Component Analysis
Authors and Co-Authors : Ranbir Sharma(IISER Mohali, Punjab), Ankan Mukherjee(Jamia Millia Islamia, New Delhi), H K Jassal(IISER Mohali, Punjab)
Abstract Type : Poster
Abstract Category : General Relativity and Cosmology
Abstract : We employ the technique of Principal Component Analysis(PCA) for the reconstruction of late-time cosmology. Two different approaches are adopted in the present work to reconstruct the equation of state parameter. The first one is the derived-approach where we reconstruct the Hubble parameter as well as distance modulus as a function of redshift, from the data sets using PCA analysis and subsequently, reconstruct the allowed equation of state parameter of dark energy. In the direct-approach, we reconstruct the dark energy equation of state parameter directly from the data sets without any intermediate reconstruction. We show that a combination of PCA algorithm and calculation of correlation coefficients can be used as a reconstruction and selection tool, which also gives us the best reconstruction variable. The derived approach is found to be statistically preferred over the direct approach. We carried out the analysis with both simulated and real data sets of Hubble parameter measurements and distance modulus measurements of type Ia supernova. The reconstructed equation of state indicates a time-evolving nature of dark energy.