Results 21 to 30 of about 43,906 (221)

On global minimizers of quadratic functions with cubic regularization [PDF]

open access: yes, 2018
In this paper, we analyze some theoretical properties of the problem of minimizing a quadratic function with a cubic regularization term, arising in many methods for unconstrained and constrained optimization that have been proposed in the last years ...
Cristofari, Andrea   +2 more
core   +2 more sources

Flight Gate Assignment with a Quantum Annealer [PDF]

open access: yes, 2018
Optimal flight gate assignment is a highly relevant optimization problem from airport management. Among others, an important goal is the minimization of the total transit time of the passengers.
A Haghani   +6 more
core   +4 more sources

Unconstrained formulation of standard quadratic optimization problems [PDF]

open access: yesTOP, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Immanuel M. Bomze   +2 more
openaire   +3 more sources

Benchmark of quantum-inspired heuristic solvers for quadratic unconstrained binary optimization

open access: yesScientific Reports, 2022
Recently, inspired by quantum annealing, many solvers specialized for unconstrained binary quadratic programming problems have been developed. For further improvement and application of these solvers, it is important to clarify the differences in their ...
Hiroki Oshiyama, Masayuki Ohzeki
doaj   +1 more source

A New Augmented Lagrangian Method for Equality Constrained Optimization with Simple Unconstrained Subproblem

open access: yesDiscrete Dynamics in Nature and Society, 2017
We propose a new method for equality constrained optimization based on augmented Lagrangian method. We construct an unconstrained subproblem by adding an adaptive quadratic term to the quadratic model of augmented Lagrangian function.
Hao Zhang, Qin Ni
doaj   +1 more source

An Improved Adaptive Trust-Region Method for Unconstrained Optimization

open access: yesMathematical Modelling and Analysis, 2014
In this study, we propose a trust-region-based procedure to solve unconstrained optimization problems that take advantage of the nonmonotone technique to introduce an efficient adaptive radius strategy.
Hamid Esmaeili, Morteza Kimiaei
doaj   +1 more source

An Algorithm for Unconstrained Quadratically Penalized Convex Optimization [PDF]

open access: yesCommunications in Statistics - Simulation and Computation, 2011
A descent algorithm, "Quasi-Quadratic Minimization with Memory" (QQMM), is proposed for unconstrained minimization of the sum, $F$, of a non-negative convex function, $V$, and a quadratic form. Such problems come up in regularized estimation in machine learning and statistics. In addition to values of $F$, QQMM requires the (sub)gradient of $V$.
openaire   +2 more sources

Robust optimisation of unconstrained binary quadratic problems

open access: yesInternational Journal of Operational Research, 2019
In this paper we focus on the unconstrained binary quadratic optimization model, maximize x^t Qx, x binary, and consider the problem of identifying optimal solutions that are robust with respect to perturbations in the Q matrix.. We are motivated to find robust, or stable, solutions because of the uncertainty inherent in the big data origins of Q and ...
Mark W. Lewis   +2 more
openaire   +2 more sources

A Modified Class of Conjugate Gradient Algorithms Based on Quadratic Model for Nonlinear Unconstrained Optimization [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2014
In this paper, we have investigated a new class of conjugate gradient algorithms for unconstrained non-linear optimization which are based on the quadratic model. Some theoretical results are investigated which are sufficient descent and ensure the local
Basim Hassan, Hameed Sadiq
doaj   +1 more source

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