Results 71 to 80 of about 565 (171)

Robustness and exploration of variational and machine learning approaches to inverse problems: An overview

open access: yesGAMM-Mitteilungen, Volume 47, Issue 4, November 2024.
Abstract This paper provides an overview of current approaches for solving inverse problems in imaging using variational methods and machine learning. A special focus lies on point estimators and their robustness against adversarial perturbations. In this context results of numerical experiments for a one‐dimensional toy problem are provided, showing ...
Alexander Auras   +3 more
wiley   +1 more source

KT-invexity in optimal control problems

open access: yes, 2009
We extend the notion of KT-invexity from mathematical programming to the classical optimal control problem and show that this generalized invexity property is not only a sufficient condition of optimality for KT-processes (processes that obey KT ...
Rojas-Medar, Marko Antonio   +3 more
core   +1 more source

In Vitro Effect of Anodization of Titanium Abutments on Color Parameters and Color Difference of Lithium Disilicate All‐Ceramic Crowns

open access: yesClinical and Experimental Dental Research, Volume 10, Issue 5, October 2024.
ABSTRACT Objective This study assessed the effect of the anodization of titanium abutments on the color parameters and color difference of lithium disilicate (LDS) all‐ceramic crowns. Materials and Methods In this study, 19 straight abutments were divided into two groups: anodized (n = 9) and non‐anodized control (n = 9), with one hybrid zirconia ...
Sotude Khorshidi   +5 more
wiley   +1 more source

On constraint qualifications with generalized convexity and optimality conditions [PDF]

open access: yes
This paper deals with a multiobjective programming problem involving both equality constraints in infinite dimensional spaces. It is shown that some constraint qualifications together with a condition of interior points are sufficient conditions for the ...
Do Van Luu, Manh-Hung Nguyen
core  

Continuous-time optimization problems involving invex functions

open access: yes, 2007
In [D.H. Martin, The essence of invexity, J. Optim. Theory Appl. 47 (1985) 65–76] Martin introduced the notions of KKT-invexity and WD-invexity for mathematical programming problems. These notions are relaxations of invexity.
de Oliveira, V.A., Rojas-Medar, M.A.
core   +2 more sources

Sumatriptan‐naproxen sodium in migraine: A review

open access: yesEuropean Journal of Neurology, Volume 31, Issue S2, September 2024.
Abstract Background Varied responses to acute migraine medications have been observed, with over one‐third (34.5%) of patients reporting insufficient headache relief. Sumatriptan‐naproxen sodium, a single, fixed‐dose combination tablet comprising sumatriptan 85 mg and naproxen sodium 500 mg, was developed with the rationale of targeting multiple ...
Robyn‐Jenia Wilcha   +14 more
wiley   +1 more source

Necessary and Sufficient Second-Order Optimality Conditions on Hadamard Manifolds

open access: yesMathematics, 2020
This work is intended to lead a study of necessary and sufficient optimality conditions for scalar optimization problems on Hadamard manifolds. In the context of this geometry, we obtain and present new function types characterized by the property of ...
Gabriel Ruiz-Garzón   +3 more
doaj   +1 more source

Fritz John type optimality and duality in nonlinear programming under weak pseudo-invexity [PDF]

open access: yes, 2015
In this paper, we use a generalized Fritz John condition to derive optimality conditions and duality results for a nonlinear programming with inequality constraints, under weak invexity with respect to different (ηi)i assumption.
Mohammed Said Radjef   +3 more
core   +1 more source

Second and higher order duality in Banach space under -invexity

open access: yes, 2011
In this paper, we introduce the concept of second and higher order duality in Banach space using ρ-(η,θ)-invexity type conditions. Duality theorems for Mangasarian type, Mond-Weir type are established under weaker conditions.
Mohapatra, R. N.   +5 more
core   +2 more sources

Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems

open access: yesJournal of Applied Mathematics, 2013
The concepts of preinvex and invex are extended to the interval-valued functions. Under the assumption of invexity, the Karush-Kuhn-Tucker optimality sufficient and necessary conditions for interval-valued nonlinear programming problems are derived ...
Jianke Zhang
doaj   +1 more source

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