Reconstructing teleparallel gravity with cosmic structure growth and
  expansion rate data
  In this work, we use a combined approach of Hubble parameter data together
with redshift-space-distortion $(f\sigma_8)$ data, which together are used to
reconstruct the teleparallel gravity (TG) Lagrangian via Gaussian processes
(GP). The adopted Hubble data mainly comes from cosmic chronometers, while for
the Type Ia supernovae data we use the latest jointly calibrated Pantheon
compilation. Moreover, we consider two main GP covariance functions, namely the
squared-exponential and Cauchy kernels in order to show consistency (to within
1$\sigma$ uncertainties). The core results of this work are the numerical
reconstructions of the TG Lagrangian from GP reconstructed Hubble and growth
data. We take different possible combinations of the datasets and kernels to
illustrate any potential differences in this regard. We show that nontrivial
cosmology beyond $\Lambda$CDM falls within the uncertainties of the
reconstructions from growth data, which therefore indicates no significant
departure from the concordance cosmological model.
