Results 21 to 30 of about 24,030 (229)

Karush-Kuhn-Tucker optimality conditions for a class of robust optimization problems with an interval-valued objective function

open access: yesOpen Mathematics, 2020
In this article, we study the nonlinear and nonsmooth interval-valued optimization problems in the face of data uncertainty, which are called interval-valued robust optimization problems (IVROPs).
Zhao Jing, Bin Maojun
doaj   +1 more source

Lateral fligh control design for a highly flexible aircraft using a nonsmooth method [PDF]

open access: yes, 2009
This paper describes a nonsmooth optimization technique for designing a lateral flight control law for a highly flexible aircraft. Flexible modes and high-dimensional models pose a major challenge to modern control design tools.
Alazard, Daniel   +3 more
core   +1 more source

Robust Approximate Optimality Conditions for Uncertain Nonsmooth Optimization with Infinite Number of Constraints

open access: yesMathematics, 2018
This paper deals with robust quasi approximate optimal solutions for a nonsmooth semi-infinite optimization problems with uncertainty data. By virtue of the epigraphs of the conjugates of the constraint functions, we first introduce a robust type closed ...
Xiangkai Sun, Hongyong Fu, Jing Zeng
doaj   +1 more source

KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization [PDF]

open access: yes, 2014
For a long time, the bilevel programming problem has essentially been considered as a special case of mathematical programs with equilibrium constraints (MPECs), in particular when the so-called KKT reformulation is in question.
Dempe, Stephan, Zemkoho, Alain B.
core   +1 more source

Asynchronous Optimization Methods for Efficient Training of Deep Neural Networks with Guarantees

open access: yes, 2020
Asynchronous distributed algorithms are a popular way to reduce synchronization costs in large-scale optimization, and in particular for neural network training.
Alistarh, Dan   +3 more
core   +2 more sources

Optimizing condition numbers [PDF]

open access: yes, 2009
In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n\times n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function.
Jane J. Ye, Lewis A.S., Pierre Maréchal
core   +1 more source

Implementation of novel methods of global and nonsmooth optimization : GANSO programming library [PDF]

open access: yes, 2007
We discuss the implementation of a number of modern methods of global and nonsmooth continuous optimization, based on the ideas of Rubinov, in a programming library GANSO.
G. Beliakov   +4 more
core   +2 more sources

Primal-dual extragradient methods for nonlinear nonsmooth PDE-constrained optimization [PDF]

open access: yes, 2017
We study the extension of the Chambolle--Pock primal-dual algorithm to nonsmooth optimization problems involving nonlinear operators between function spaces.
Clason, Christian, Valkonen, Tuomo
core   +2 more sources

A new smoothing modified three-term conjugate gradient method for l1 $l_{1}$-norm minimization problem

open access: yesJournal of Inequalities and Applications, 2018
We consider a kind of nonsmooth optimization problems with l1 $l_{1}$-norm minimization, which has many applications in compressed sensing, signal reconstruction, and the related engineering problems.
Shouqiang Du, Miao Chen
doaj   +1 more source

Generalized Nonsmooth Exponential-Type Vector Variational-Like Inequalities and Nonsmooth Vector Optimization Problems in Asplund Spaces

open access: yesMathematics, 2019
The aim of this article is to study new types of generalized nonsmooth exponential type vector variational-like inequality problems involving Mordukhovich limiting subdifferential operator.
Syed Shakaib Irfan   +4 more
doaj   +1 more source

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