Results 11 to 20 of about 969 (184)

Variance-Guided Regression for Heteroscedastic Data With a Grouping-Based Extension for Nonlinear Prediction. [PDF]

open access: yesStat Med
ABSTRACT Although homoscedasticity is often assumed in linear regression, real data may show variance patterns or residual structures that violate this assumption. We propose VarGuid, a variance‐guided framework for two related settings: Covariate‐dependent conditional variance under a global linear mean model, and residual nonlinear mean structure ...
Liu S, Lu M.
europepmc   +2 more sources

Essentials of numerical nonsmooth optimization [PDF]

open access: yes4OR, 2019
AbstractApproximately sixty years ago two seminal findings, the cutting plane and the subgradient methods, radically changed the landscape of mathematical programming. They provided, for the first time, the practical chance to optimize real functions of several variables characterized by kinks, namely by discontinuities in their derivatives.
Gaudioso, Manlio   +2 more
openaire   +2 more sources

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

The Adjoint Arc in Nonsmooth Optimization [PDF]

open access: yesTransactions of the American Mathematical Society, 1991
We extend the theory of necessary conditions for nonsmooth problems of Bolza in three ways: first, we incorporate state constraints of the intrinsic type x (
Loewen, Philip D., Rockafellar, R. T.
openaire   +2 more sources

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

A limited memory BFGS subspace algorithm for bound constrained nonsmooth problems

open access: yesJournal of Inequalities and Applications, 2020
The subspace technique has been widely used to solve unconstrained/constrained optimization problems and there exist many results that have been obtained. In this paper, a subspace algorithm combining with limited memory BFGS update is proposed for large-
Xiangrong Li
doaj   +1 more source

A Novel Approach for Solving Nonsmooth Optimization Problems with Application to Nonsmooth Equations

open access: yesJournal of Mathematics, 2013
We present a new approach for solving nonsmooth optimization problems and a system of nonsmooth equations which is based on generalized derivative. For this purpose, we introduce the first order of generalized Taylor expansion of nonsmooth functions and
Hamid Reza Erfanian   +2 more
doaj   +1 more source

Proximal ADMM for nonconvex and nonsmooth optimization

open access: yesAutomatica, 2022
15 pges, 3 ...
Yu Yang 0008   +4 more
openaire   +3 more sources

A modified three-term HS conjugate gradient method for solving nonsmooth minimizations

open access: yesJournal of Hebei University of Science and Technology, 2018
To improve the efficiency for large-scale nonsmooth optimization problems and overcome the large storage requirements and complex computation of other algorithms, a modified HS conjugate gradient algorithm for nonsmooth optimization problems is proposed.
Yong LI, Songhua WANG
doaj   +1 more source

Nonsmooth Optimization Control Based on a Sandwich Model with Hysteresis for Piezo–Positioning Systems

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2023
A nonsmooth optimization control (NOC) based on a sandwich model with hysteresis is proposed to control a micropositioning system (MPS) with a piezoelectric actuator (PEA).
Yang Sen   +3 more
doaj   +1 more source

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