Adversarial Regression Generative Adversarial Networks for Non-Linear Regression: Theory and Assessment Yoann Boget Supervisor at SLAC National Accelerator Laboratory: Dr. Michael Kagan Thesis Advisor at University of Neuchˆ atel: Dr. Cl´ ement Chevalier A thesis presented for the degree of Master in Statistics Institute of Statistics University of Neuchˆ atel Switzerland August 2019 arXiv:1910.09106v1 [stat.ML] 18 Oct 2019