Model-independent determination on $H_0$ using the latest $H(z)$ data

Abstract: We perform the improved constraints on the Hubble constant $H_0$ by using the model-independent method, Gaussian Processes. Utilizing the latest 36 $H(z)$ measurements, we obtain $H_0=69.21\pm3.72$ km s$^{-1}$ Mpc$^{-1}$, which is consistent with the Planck 2015 and Riess et al. 2016 analysis at $1\sigma$ confidence level, and reduces the uncertainty from $6.5\%$ (Busti et al. 2014) to $5.4\%$. Different from the results of Busti et al. 2014 by only using 19 $H(z)$ measurements, our reconstruction results of $H(z)$ and the derived values of $H_0$ are independent of the choice of covariance functions.