In general, when a quasi-Newton method is applied to solve a system of nonlinear equations, the quasi-Newton direction is not necessarily a descent direction for the norm function. In this paper, we ...

This is a preview. Log in through your library . Abstract Given a system of linear equations with more equations than unknowns, we seek to determine that vector of unknowns which minimizes the norm of ...

In this topic we will advance the fundamental mathematical understanding of artificial neural networks, e.g., through the design and rigorous analysis of stochastic gradient descent methods for their ...