Our results strongly indicate that future strong lensing surveys, with the accumulation of a larger and more accurate sample of detectable galactic lenses, will considerably benefit from the methodology described in this analysis.**
author:
- 'Tonghua Liu, Shuo Cao, Jia Zhang, Shuaibo Geng, Yuting Liu, Xuan Ji, and Zong-Hong Zhu'
title: 'Implications from simulated strong gravitational lensing systems: constraining cosmological parameters using Gaussian Processes '
---

Introduction
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During the last decades, one of the most important issues of modern cosmology is the accelerating expansion of the universe, which has been discovered and verified by several observational probes including the type Ia supernova (SNe Ia) [@Riess; @Perlmutter; @Riess04; @Knop], baryon acoustic oscillation (BAO) [@Percival], and precise measurements of the spectrum of cosmic microwave background (CMB) [@Balbi; @Jaffe; @Spergel03; @Spergel07]. Currently, the detailed dynamics of the accelerated expansion is still not well known. The origin of this acceleration may be attributed to dark energy with negative pressure, based on the cosmological principles (homogeneous, isotropic) and Einstein¡¯s general relativity (GR). In the framework of the current standard model, the so-called $\Lambda$CDM model, the accelerated cosmological expansion is powered by Einstein’s cosmological constant, $\Lambda$, a spatially homogeneous fluid with equation of state parameter 