Comparing cosmic web classifiers using information theory

Abstract

We introduce a decision scheme for optimally choosing a classifier, which segments the cosmic web into different structure types (voids, sheets, filaments, and clusters). Our framework, based on information theory, accounts for the design aims of different classes of possible applications: (i) parameter inference, (ii) model selection, and (iii) prediction of new observations. As an illustration, we use cosmographic maps of web-types in the Sloan Digital Sky Survey to assess the relative performance of the classifiers T-web, DIVA and ORIGAMI for: (i) analyzing the morphology of the cosmic web, (ii) discriminating dark energy models, and (iii) predicting galaxy colors. Our study substantiates a data-supported connection between cosmic web analysis and information theory, and paves the path towards principled design of analysis procedures for the next generation of galaxy surveys. We have made the cosmic web maps, galaxy catalog, and analysis scripts used in this work publicly available.

20 pages, 8 figures, 6 tables. Matches JCAP published version. Public data available from the first author's website (currently http://icg.port.ac.uk/~leclercq/)

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• Bayesian optimisation for likelihood-free cosmological inference
• ELUCID IV: Galaxy Quenching and its Relation to Halo Mass, Environment, and Assembly Bias
• T-ReX: a graph-based filament detection method
• The large-scale environment from cosmological simulations I: The baryonic cosmic web
• The dependence of galaxy clustering on tidal environment in the Sloan Digital Sky Survey
• Luminous giants populate the dense Cosmic Web: The radio luminosity-environmental density relation for radio galaxies in action
• Probabilistic cosmic web classification using fast-generated training data
• Network analysis of the COSMOS galaxy field
• The large-scale environment of thermonuclear and core-collapse supernovae
• Optimal machine-driven acquisition of future cosmological data
• A theoretical view of the T-web statistical description of the cosmic web
• Filamentary Baryons and Where to Find Them: A forecast of synchrotron radiation from merger and accretion shocks in the local Cosmic Web
• Clusters in the Disperse cosmic web
• The decisive future of inflation
• Data-Space Validation of High-Dimensional Models by Comparing Sample Quantiles
• Impact of the large-scale cosmic web on the X-ray emitting circumgalactic medium