We use a combination of observational data in order to reconstruct the free function of $f\left(T\right)$ gravity in a model-independent manner. Starting from the data-driven determined dark-energy equation-of-state parameter we are able to reconstruct the $f\left(T\right)$ form. The obtained function is consistent with the standard $\Lambda$CDM cosmology within $1\sigma$ confidence level, however the best-fit value experiences oscillatory features. We parametrize it with a sinusoidal function with only one extra parameter comparing to $\Lambda$CDM paradigm, which is a small oscillatory deviation from it, close to the best-fit curve, and inside the $1\sigma$ reconstructed region. Similar oscillatory dark-energy scenarios are known to be in good agreement with observational data, nevertheless this is the first time that such a behavior is proposed for $f\left(T\right)$ gravity. Finally, since the reconstruction procedure is completely model-independent, the obtained data-driven reconstructed $f\left(T\right)$ form could release the tensions between $\Lambda$CDM estimations and local measurements, such as the $H_0$ and ${\sigma }_8$ ones.

我们使用观测数据的组合来重构自由的函数 $F（Ť）$以与模型无关的方式引力。从数据驱动的确定的暗能量状态方程参数开始，我们能够重建$F（Ť）$形式。所获得的功能与标准一致$\Lambda$内的CDM宇宙学 $\mathrm{1个}\sigma$置信水平，但是最适合的值具有振荡特征。我们使用正弦函数对它进行参数化，与$\Lambda$CDM范式，与它的振荡偏差很小，接近最佳拟合曲线，并且在 $\mathrm{1个}\sigma$重建区域。已知类似的振荡暗能量情景与观测数据非常吻合，但这是首次提出将这种行为用于$F（Ť）$重力。最后，由于重建过程完全与模型无关，因此获得的数据驱动重建$F（Ť）$ 形式可以释放之间的紧张关系 $\Lambda$CDM估算值和本地测量值，例如 $H_0$ 和 ${\sigma }_8$ 那些。