Machine Learning, Scientific Method, Numerical Methods, Numerical Analysis, Neural Networks.
that maps the location x∈R to a scalar value such that To find the optional w, we solve the Poisson equation with X(x)=N(x;w), where the numerical scheme is Here Xi​=N(xi​;w). Assume we can observe the full solution u(x), we can compare it with the solution u(x;w), and minimize the loss function We