background: laron syndrome, is a disease that treated by igf-1. this protein is a single chain and has three disulfide bonds. people with laron syndrome have low rates of cancer and diabetes, although they appear to be at increased risk of casual death due to their stature. igf-1 is synthesized by many tissues and is secreted from liver as an endocrine hormone which is transmitted to other tiss...

Abstract Support vector machine (SVM) is one of the most important class learning models and algorithms, has been successfully applied in various fields. Nonlinear optimization plays a crucial role SVM methodology, both defining designing convergent efficient algorithms for large-scale training problems. In this paper we present convex programming problems underlying focusing on supervised bina...

We define the quasi-minimal elements of a set with respect to a convex cone and characterize them via linear scalarization. Then we attach to a general vector optimization problem a dual vector optimization problem with respect to quasi-efficient solutions and establish new duality results. By considering particular cases of the primal vector optimization problem we derive vector dual problems ...