An implicit filtering algorithm for derivative-free multiobjective optimization with box constraints
Sign Up to like & getrecommendations! Published in 2018 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-017-9953-2
Abstract: This paper is concerned with the definition of new derivative-free methods for box constrained multiobjective optimization. The method that we propose is a non-trivial extension of the well-known implicit filtering algorithm to the multiobjective case.… read more here.
Keywords: implicit filtering; derivative free; filtering algorithm; box ... See more keywords
Delaunay-based derivative-free optimization via global surrogates. Part III: nonconvex constraints
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Global Optimization"
DOI: 10.1007/s10898-019-00854-2
Abstract: This paper introduces a Delaunay-based derivative-free optimization algorithm, dubbed $$\varDelta $$ Δ -DOGS( $$\varOmega $$ Ω ), for problems with both (a) a nonconvex, computationally expensive objective function f ( x ), and (b) nonlinear,… read more here.
Keywords: derivative free; delaunay based; based derivative; optimization ... See more keywords
Second derivative free sixth order continuation method for solving nonlinear equations with applications
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-018-0868-7
Abstract: In this paper, we deal with the study of convergence analysis of modified parameter based family of second derivative free continuation method for solving nonlinear equations. We obtain the order of convergence is at least… read more here.
Keywords: derivative free; order; method solving; continuation method ... See more keywords
A Discussion on Variational Analysis in Derivative-Free Optimization
Sign Up to like & getrecommendations! Published in 2020 at "Set-valued and Variational Analysis"
DOI: 10.1007/s11228-020-00556-y
Abstract: Variational Analysis studies mathematical objects under small variations. With regards to optimization, these objects are typified by representations of first-order or second-order information (gradients, subgradients, Hessians, etc). On the other hand, Derivative-Free Optimization studies algorithms… read more here.
Keywords: free optimization; discussion variational; variational analysis; derivative free ... See more keywords
A new derivative-free SCG-type projection method for nonlinear monotone equations with convex constraints
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-016-1068-x
Abstract: Based on a modified line search scheme, this paper presents a new derivative-free projection method for solving nonlinear monotone equations with convex constraints, which can be regarded as an extension of the scaled conjugate gradient… read more here.
Keywords: derivative free; method; nonlinear monotone; new derivative ... See more keywords
On the construction of quadratic models for derivative-free trust-region algorithms
Sign Up to like & getrecommendations! Published in 2017 at "EURO Journal on Computational Optimization"
DOI: 10.1007/s13675-017-0081-7
Abstract: We consider derivative-free trust-region algorithms based on sampling approaches for convex constrained problems and discuss two conditions on the quadratic models for ensuring their global convergence. The first condition requires the poisedness of the sample… read more here.
Keywords: derivative free; trust; free trust; trust region ... See more keywords
A Class of Derivative-Free CG Projection Methods for Nonsmooth Equations with an Application to the LASSO Problem
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00250-2
Abstract: In this paper, based on a modified Gram–Schmidt (MGS) process, we propose a class of derivative-free conjugate gradient (CG) projection methods for nonsmooth equations with convex constraints. Two attractive features of the new class of… read more here.
Keywords: derivative free; class; methods nonsmooth; class derivative ... See more keywords
Derivative-free level-set-based multi-objective topology optimization of flow channel designs using lattice Boltzmann method
Sign Up to like & getrecommendations! Published in 2020 at "Chemical Engineering Science"
DOI: 10.1016/j.ces.2020.116323
Abstract: Abstract A derivative-free level-set-based topology optimization method (DFLS-TO) was proposed and was used for channel structure design. Unlike in a conventional level-set method, quantum-behaved particle swarm optimization (QPSO) was used in DFLS-TO to optimize the… read more here.
Keywords: derivative free; method; topology; optimization ... See more keywords
Derivative-free optimization for chemical product design
Sign Up to like & getrecommendations! Published in 2020 at "Current opinion in chemical engineering"
DOI: 10.1016/j.coche.2019.11.006
Abstract: This paper motivates and guides the use of derivative-free optimization methods to solve chemical product design problems. The proposed methodology incorporates derivative-free optimization into computer-aided molecular design frameworks. Doing so facilitates the exploitation of property… read more here.
Keywords: free optimization; derivative free; chemical product; design ... See more keywords
Selective harmonics elimination in multilevel inverter by a derivative-free iterative method under varying voltage condition.
Sign Up to like & getrecommendations! Published in 2019 at "ISA transactions"
DOI: 10.1016/j.isatra.2019.02.015
Abstract: Selective Harmonics Elimination Pulse width modulation (SHE PWM) presents an alternative modulation technique to operate medium voltage medium and high power converters as it reduces the switching losses. SHE PWM generates high-quality output waveform at… read more here.
Keywords: derivative free; harmonics elimination; selective harmonics; multilevel inverter ... See more keywords
A derivative-free three-term Hestenes–Stiefel type method for constrained nonlinear equations and image restoration
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2021.1946043
Abstract: In this paper, a derivative-free Hestenes-Stielfel type method is proposed to solve large-scale nonlinear equations with convex constraints. The proposed method adopts the line search proposed by O... read more here.
Keywords: type method; derivative free; method; nonlinear equations ... See more keywords