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AMLBook, 2012
Y. S. Abu-Mostafa, M. Magdon-Ismail, and H.-T. Lin, Learning From Data · 2012
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M. Seikel, C. Clarkson, and M. Smith, “Reconstruction of dark energy and expansion dynamics using Gaussian processes,” JCAP
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2012
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Then

R. F. vom Marttens, L. Casarini, W. S. Hipólito-Ricaldi, and W. Zimdahl, “CMB and matter power spectra with non-linear dark-sector interactions,” JCAP
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2017
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R. F. vom Marttens, L. Casarini, W. Zimdahl, W. S. Hipólito-Ricaldi, and D. F. Mota, “Does a generalized Chaplygin gas correctly describe the cosmological dark sector?,” Phys. Dark Univ
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2017
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J. S. Alcaniz, G. C. Carvalho, A. Bernui, J. C. Carvalho, and M. Benetti, “Measuring baryon acoustic oscillations with angular two-point correlation function,” Fundam. Theor. Phys
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2018

Null test for interactions in the dark sector

von Marttens, Rodrigo, Marra, Valerio, Casarini, Luciano et al.

Understand

Since there is no known symmetry in Nature that prevents a non-minimal coupling between the dark energy (DE) and cold dark matter (CDM) components, such a possibility constitutes an alternative to standard cosmology, with its theoretical and observational consequences being of great interest.

In this paper we propose a new null test on the standard evolution of the dark sector based on the time dependence of the ratio between the CDM and DE energy densities which, in the standard $\Lambda$CDM scenario, scales necessarily as $a^{-3}$.
We use the latest measurements of type Ia supernovae, cosmic chronometers and angular baryonic acoustic oscillations to reconstruct the expansion history using model-independent Machine Learning techniques, namely, the Linear Model formalism and Gaussian Processes.
We find that while the standard evolution is consistent with the data at $3\sigma$ level, some deviations from the $\Lambda$CDM model are found at low redshifts, which may be associated with the current tension between local and global determinations of $H_0$.