ata-driven Reconstruction of the Late-time Cosmic Acceleration with f(T) Gravity

We use a combination of observational data in order to reconstruct the freefunction of f(T) gravity in a model-independent manner. Starting from thedata-driven determined dark-energy equation-of-state parameter we are able toreconstruct the f(T) form. The obtained function is consistent with thestandard {\Lambda}CDM cosmology within 1{\sigma} confidence level, however thebest-fit value experiences oscillatory features. We parametrise it with asinusoidal function with only one extra parameter comparing to {\Lambda}CDMparadigm, which is a small oscillatory deviation from it, close to the best-fitcurve, and inside the 1{\sigma} reconstructed region. Similar oscillatorydark-energy scenarios are known to be in good agreement with observationaldata, nevertheless this is the first time that such a behavior is proposed forf(T) gravity. Finally, since the reconstruction procedure is completelymodel-independent, the obtained data-driven reconstructed f(T) form couldrelease the tensions between {\Lambda}CDM estimations and local measurements,such as the H0 and {\sigma}8 ones.