نتایج جستجو برای: convex semi

تعداد نتایج: 195136  

Journal: :Journal of Mathematical Analysis and Applications 2008

Journal: :SIAM Journal on Optimization 2014
N. Dinh Miguel A. Goberna Marco A. López T. H. Mo

This paper provides new versions of the Farkas lemma characterizing those inequalities of the form f(x) ≥ 0 which are consequences of a composite convex inequality (S ◦ g)(x) ≤ 0 on a closed convex subset of a given locally convex topological vector space X, where f is a proper lower semicontinuous convex function defined on X, S is an extended sublinear function, and g is a vector-valued S-con...

2004
HEINZ H. BAUSCHKE PATRICK L. COMBETTES

An iterative method is proposed to construct the Bregman projection of a point onto a countable intersection of closed convex sets in a reflexive Banach space. 1. Problem statement Let (X , ‖ · ‖) be a reflexive real Banach space with dual (X ∗, ‖ · ‖∗) and let f : X → ]−∞,+∞] be a lower semicontinuous (l.s.c.) convex function which is Gâteaux differentiable on int dom f 6= Ø and Legendre [1, D...

Journal: :J. Inf. Sci. Eng. 2010
Qing Wu Sanyang Liu Leyou Zhang

Semi-supervised Support vector machine has become an increasingly popular tool for machine learning due to its wide applicability. Unlike SVM, their formulation leads to a non-smooth non-convex optimization problem. In 2005, Chapelle and Zien used a Gaussian approximation as a smooth function and presented ∇TSVM. In this paper, we propose a smooth piecewise function and research smooth piecewis...

Journal: :Journal of Mathematical Analysis and Applications 2009

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