1. Constraining cosmology with big data statistics of cosmological graphs
- Author
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Donghui Jeong, Karl Gebhardt, Kyoung-Soo Lee, Sungwook E. Hong, Juhan Kim, Changbom Park, Milos Milosavljevic, Arjun Dey, Sungryong Hong, and Ho Seong Hwang
- Subjects
Connected component ,Physics ,Cosmology and Nongalactic Astrophysics (astro-ph.CO) ,COSMIC cancer database ,Equation of state (cosmology) ,media_common.quotation_subject ,FOS: Physical sciences ,Astronomy and Astrophysics ,CMB cold spot ,Cosmology ,Universe ,Space and Planetary Science ,Statistics ,Spark (mathematics) ,Dark energy ,Astrophysics - Cosmology and Nongalactic Astrophysics ,media_common - Abstract
By utilizing large-scale graph analytic tools implemented in the modern Big Data platform, Apache Spark, we investigate the topological structure of gravitational clustering in five different universes produced by cosmological $N$-body simulations with varying parameters: (1) a WMAP 5-year compatible $\Lambda$CDM cosmology, (2) two different dark energy equation of state variants, and (3) two different cosmic matter density variants. For the Big Data calculations, we use a custom build of stand-alone Spark/Hadoop cluster at Korea Institute for Advanced Study (KIAS) and Dataproc Compute Engine in Google Cloud Platform (GCP) with the sample size ranging from 7 millions to 200 millions. We find that among the many possible graph-topological measures, three simple ones: (1) the average of number of neighbors (the so-called average vertex degree) $\alpha$, (2) closed-to-connected triple fraction (the so-called transitivity) $\tau_\Delta$, and (3) the cumulative number density $n_{s\ge5}$ of subcomponents with connected component size $s \ge 5$, can effectively discriminate among the five model universes. Since these graph-topological measures are in direct relation with the usual $n$-points correlation functions of the cosmic density field, graph-topological statistics powered by Big Data computational infrastructure opens a new, intuitive, and computationally efficient window into the dark Universe., Comment: 16 pages, 11 figures, submitted to MNRAS
- Published
- 2020
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