Machine Learning, Scientific Method, Numerical Methods, Numerical Analysis, Neural Networks.
neural network that transforms a sample from N(0, I​) to a sample from X. Then we randomly generate K samples {z(i)​}, i=1,…, K​ from N(0, I​) and transform them to {X(i)​;w}, i=1, … , K​. We solve the Poisson equation KK times to obtain {u(0.5;z(i)​,w)}, i=1, …, K​. Meanwhile, we sample K items