# Reconstructing the Hubble parameter with future Gravitational Wave missions using Machine Learning

arXiv: https://arxiv.org/abs/2303.05169 · HTML: https://mlsanity.com/paper/2303.05169/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- Builds on 0 of its 112 references that are in the map.
- First posted on arXiv 9 Mar 2023.

## Built on by (most cited first, 3 of 3)

- [LADDER: Revisiting the Cosmic Distance Ladder with Deep Learning Approaches and Exploring its Applications](https://mlsanity.com/paper/2401.17029/) (2024)
- [A possible late-time transition of MB inferred via neural networks](https://mlsanity.com/paper/2402.10502/) (2024)
- [What can we learn about Reionization astrophysical parameters using Gaussian Process Regression?](https://mlsanity.com/paper/2407.19481/) (2024)

## Abstract (arXiv)

We study the prospects of Gaussian processes (GP), a machine learning (ML) algorithm, as a tool to reconstruct the Hubble parameter H(z) with two upcoming gravitational wave missions, namely the evolved Laser Interferometer Space Antenna (eLISA) and the Einstein Telescope (ET). Assuming various background cosmological models, the Hubble parameter has been reconstructed in a non-parametric manner with the help of GP using realistically generated catalogs for each mission. The effects of early-time and late-time priors on the reconstruction of H(z), and hence on the Hubble constant (H0), have also been focused on separately. Our analysis reveals that GP is quite robust in reconstructing the expansion history of the Universe within the observational window of the specific missions under consideration. We further confirm that both eLISA and ET would be able to provide constraints on H(z) and H0 which would be competitive to those inferred from current datasets. In particular, we observe that an eLISA run of ~10-year duration with ~80 detected bright siren events would be able to constrain H0 as good as a ~3-year ET run assuming ~ 1000 bright siren event detections. Further improvement in precision is expected for longer eLISA mission durations such as a ~15-year time-frame having ~120 events. Lastly, we discuss the possible role of these future gravitational wave missions in addressing the Hubble tension, for each model, on a case-by-case basis.