Modifications of the Limited Memory BFGS Algorithm for Large-scale Nonlinear Optimization [PDF]
, 2005 In this paper we present two new numerical methods for unconstrained large-scale optimization. These methods apply update formulae, which are derived by considering different techniques of approximating the objective function.
Hassan, Malik Abu, June, Leong Wah
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Quantum Algorithms for Mixed Binary Optimization Applied to Transaction Settlement
IEEE Transactions on Quantum Engineering, 2021 In this article, we extend variational quantum optimization algorithms for quadratic unconstrained binary optimization problems to the class of mixed binary optimization problems.
Lee Braine +3 more
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A Multilevel Algorithm for Large Unconstrained Binary Quadratic Optimization [PDF]
, 2012 The unconstrained binary quadratic programming (UBQP) problem is a general NP-hard problem with various applications. In this paper, we present a multilevel algorithm designed to approximate large UBQP instances. The proposed multilevel algorithm is composed of a backbone-based coarsening phase, an asymmetric uncoarsening phase and a memetic refinement
Wang, Yang +3 more
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A novel hybrid backtracking search optimization algorithm for continuous function optimization [PDF]
Decision Science Letters, 2019 Stochastic optimization algorithm provides a robust and efficient approach for solving complex real world problems. Backtracking Search Optimization Algorithm (BSA) is a new stochastic evolutionary algorithm and the aim of this paper is to introduce a ...
Sukanta Nama, Apu Kumar Saha
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Approach to development of algorithms of Newtonian methods of unconstrained optimization, their software implementation and benchmarking [PDF]
Компьютерные исследования и моделирование, 2013 The approach to increase efficiency of Gill and Murray's algorithm of Newtonian methods of unconstrained optimization with step adjustment creation is offered, rests on Choleskys factorization.
Gennadiy Anatolievich Zelenkov +1 more
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Exploiting Hardware and Software Advances for Quadratic Models of Wind Farm Layout Optimization
IEEE Access, 2022 A key aspect of the design of a wind farm is the wind farm layout optimization (WFLO) problem: given a wind farm site and information about the wind patterns, the problem is to decide the location of individual wind turbines to maximize energy production
Arik Senderovich +3 more
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A New Spectral Conjugate Gradient method for solving unconstrained Optimization problems [PDF]
مجلة ابحاث كلية التربية الاساسية, 2022 The spectral conjugate gradient methods are fascinating, and it has been shown that they are useful for strictly convex quadratic reduction when used properly.
أسامة محمد طاهر ویس +2 more
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Multiplicative Noise Removal Using Variable Splitting and Constrained Optimization [PDF]
, 2010 Multiplicative noise (also known as speckle noise) models are central to the study of coherent imaging systems, such as synthetic aperture radar and sonar, and ultrasound and laser imaging.
Bioucas-Dias, José M. +1 more
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On limited-memory quasi-Newton methods for minimizing a quadratic function
, 2018 The main focus in this paper is exact linesearch methods for minimizing a quadratic function whose Hessian is positive definite. We give two classes of limited-memory quasi-Newton Hessian approximations that generate search directions parallel to those ...
Ek, David, Forsgren, Anders
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, 2012 This paper presents a trajectory generation method that optimizes a quadratic cost functional with respect to linear system dynamics and to linear input and state constraints.
Kennel, Ralph, Stumper, Jean-Francois
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