SMuK 2023 – wissenschaftliches Programm

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GR: Fachverband Gravitation und Relativitätstheorie

GR 13: Relativity and Data Analysis

GR 13.3: Vortrag

Donnerstag, 23. März 2023, 16:40–17:00, ZEU/0260

Finding Universal Relations using Statistical Data Analysis — •Praveen Manoharan and Kostas D. Kokkotas — IAAT, University of Tübingen, 72076 Tübingen, Germany

We present applications of statistical data analysis methods from both bi- and multivariate statistics to find suitable sets of neutron star features that can be leveraged for accurate and EoS independent - or universal - relations. To this end, we investigate the ability of various correlation measures such as Distance Correlation and Mutual Information in identifying universally related pairs of neutron star features. We also evaluate relations produced by methods of multivariate statistics such as Principal Component Analysis to assess their suitability for producing universal relations with multiple independent variables.

As part of our analyses, we are able to put forward multiple entirely novel relations, including multivariate relations for the $f$-mode frequency of neutron stars with reduced error when compared to existing, bivariate relations.