Efficient Output Kernel Learning for Multiple Tasks [PDF]
, 2015 The paradigm of multi-task learning is that one can achieve better generalization by learning tasks jointly and thus exploiting the similarity between the tasks rather than learning them independently of each other.
Hein, Matthias +3 more
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A Study of Geodesic (E, F)-Preinvex Functions on Riemannian Manifolds
MathematicsIn this manuscript, we define the (E,F)-invex set, (E,F)-invex functions, and (E,F)-preinvex functions on Euclidean space, i.e., simply vector space. We extend these concepts on the Riemannian manifold.
Ehtesham Akhter +2 more
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Duality in nondifferentiable minimax fractional programming with
Journal of Inequalities and Applications, 2011 In this article, we are concerned with a nondifferentiable minimax fractional programming problem. We derive the sufficient condition for an optimal solution to the problem and then establish weak, strong, and strict converse duality theorems for the ...
Kailey N +3 more
doaj
Continuous-time optimization problems involving invex functions
Journal of Mathematical Analysis and Applications, 2007 The authors study continuous-time nonlinear programming problem and show that the notion of Karush-Kuhn-Tucker (KKT) invexity, introduced by \textit{D. H. Martin} [J. Optimization Theory Appl. 47, 65--76 (1985; Zbl 0552.90077)] is a necessary and sufficient condition for a global optimality of a KKT point.
de Oliveira, V.A., Rojas-Medar, M.A.
openaire +1 more source
Nonlinear programming problem for stronglyE-invex sets and stronglyE-preinvex functions [PDF]
, 2022 Akhlad Iqbal, Askar Hussain
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Well-Behavior, Well-Posedness and Nonsmooth Analysis [PDF]
, 1998 AMS subject classification: 90C30, 90C33.We survey the relationships between well-posedness and well-behavior. The latter notion means that any critical sequence (xn) of a lower semicontinuous function f on a Banach space is minimizing.
Penot, Jean-Paul
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Optimization problems and second order approximated optimization problems
Journal of Numerical Analysis and Approximation Theory, 2010 In this paper, a so-called second order approximated optimization problem associated to an optimization problem is considered. The equivalence between the saddle points of the lagrangian of the second order approximated optimization problem and optimal ...
Eugenia Duca, Dorel I. Duca
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Longitudinal prospective cohort study evaluating prognosis in idiopathic intracranial hypertension patients with and without comorbid polycystic ovarian syndrome. [PDF]
Eye (Lond), 2023 Thaller M +4 more
europepmc +1 more source
Some remarks on optimality conditions for fuzzy optimization problems [PDF]
, 2017 In this article we present a new concept of stationary point for gH-differentiable fuzzy functions which generalize previous concepts that exist in the literature.
Chalco Cano, Yurilev +3 more
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Some Characterizations of General Preinvex Functions
International Journal of Analysis and Applications, 2017 In this paper, we consider a new class of general preinvex functions involving an arbitrary function. We show that the optimality condition for general preinvex functions on general invex set can be characterized by a class of variational-like inequality.
Muhammad Uzair Awan +3 more
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