This article presents a new mathematical proof that is obtained in a strong sense that the conjecture is also true when any one of local optimal solutions is reached in helping to investigating convex ...

The convergence rate and applicability to directed graphs with interaction topologies are two important features for practical applications of distributed optimization algorithms. In this article, a ...

Together, these advancements underscore both the foundational and application-oriented significance of convex geometry and point set configurations.

Journal of Applied Probability, Vol. 15, No. 3 (Sep., 1978), pp. 645-649 (5 pages) This paper gives an elementary proof that, under some general assumptions, the number of parts a convex set in Rd is ...