Strongly lensed quasar systems with time delay measurements provide “ time delay distances ” , which are a combination of three angular diameter distances and serve as powerful tools to determine the Hubble constant H _ { 0 } .
However , current results often rely on the assumption of the \Lambda CDM model .
Here we use a model-independent method based on Gaussian process to directly constrain the value of H _ { 0 } .
By using Gaussian process regression , we can generate posterior samples of unanchored supernova distances independent of any cosmological model and anchor them with strong lens systems .
The combination of a supernova sample with large statistics but no sensitivity to H _ { 0 } with a strong lens sample with small statistics but H _ { 0 } sensitivity gives a precise H _ { 0 } measurement without the assumption of any cosmological model .
We use four well-analyzed lensing systems from the state-of-art lensing program H0LiCOW and the Pantheon supernova compilation in our analysis .
Assuming the Universe is flat , we derive the constraint H _ { 0 } = 72.2 \pm 2.1 km/s/Mpc , a precision of 2.9 \% .
Allowing for cosmic curvature with a prior of \Omega _ { k } = [ -0.2 , 0.2 ] , the constraint becomes H _ { 0 } = 73.0 _ { -3.0 } ^ { +2.8 } km/s/Mpc .