Mathly for Lua is a Lua module that turns Lua into a tiny, portable, free but powerful MATLAB and more. It provides a group of commonly used MATLAB functions and features, including linspace, zeros, ...

Abstract: The framework of integral quadratic constraints is used to perform an analysis of gradient descent with varying step sizes. Two performance metrics are considered: convergence rate and noise ...

Abstract: Fractional derivatives generalize integer-order derivatives, making them relevant for studying their convergence in descent-based optimization algorithms. However, existing convergence ...