Algorithms are the foundation of modern computing. They help computers solve problems, process data, and make decisions efficiently. Understanding the different types of algorithms is an important ...

Abstract: Nonconvex finite-sum optimization finds wide applications in various signal processing and machine learning tasks. The well-known stochastic gradient algorithms generate unbiased stochastic ...

Abstract: In this paper, we study asymptotic behaviors of continuous-time and discrete-time gradient flows of a “lower-unbounded” convex function on a Hadamard manifold, particularly, their ...