In this note, we extend the algorithms Extra [13] and subgradient-push [10] to a new algorithm ExtraPush for consensus optimization with convex differentiable objective functions over a directed ...

SIAM Journal on Numerical Analysis, Vol. 51, No. 2 (2013), pp. 1134-1162 (29 pages) Alternating linear schemes (ALS), with the alternating least squares algorithm a notable special case, provide one ...

Convex optimisation constitutes a fundamental area in applied mathematics where the objective is to identify the minimum of a convex function subject to a set of convex constraints. This framework ...

Abstract: We address black-box convex optimization problems, where the objective and constraint functions are not explicitly known but can be sampled within the feasible set. The challenge is thus to ...

Data-driven decision-making processes increasingly utilize end-to-end learnable deep neural networks to render final decisions. Sometimes, the output of the forward functions in certain layers is ...

Abstract: In this paper, a differentiable interval-valued vector optimization problem with the multiple objective function and with both inequality and equality constraints is considered. The ...