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Black-box optimization (BBO) involves functions that are unknown, inexact and/or expensive-to-evaluate. Existing BBO algorithms face several challenges, including high computational cost from extensive evaluations, difficulty in handling…

Optimization and Control · Mathematics 2025-09-26 Zixuan Zhang , Xiaowei Song , Jiaming Li , Yujiao Zeng , Yaling Nie , Min Zhu , Dongyun Lu , Yibo Zhang , Xin Xiao , Jie Li

In this paper, an algorithm is developed to solve a multilevel mono-objective linear programming problem (ML(MO)LPP), where the constructive adaptive method of linear programming is nested. This procedure is the modified version of the SB.…

Optimization and Control · Mathematics 2022-10-27 Mustapha Kaci , Sonia Radjef

Differentiable systems in this paper means systems of equations that are described by differentiable real functions in real matrix variables. This paper proposes algorithms for finding minimal rank solutions to such systems over (arbitrary…

Optimization and Control · Mathematics 2017-05-30 Thanh Hieu Le

The performance of evolutionary algorithms can be heavily undermined when constraints limit the feasible areas of the search space. For instance, while Covariance Matrix Adaptation Evolution Strategy is one of the most efficient algorithms…

Neural and Evolutionary Computing · Computer Science 2018-10-08 A. Maesani , G. Iacca , D. Floreano

Robustness across heterogeneous optimization regimes remains a central challenge in bound-constrained continuous optimization. In practice, users often prefer optimizers that remain reliable across different dimensionalities, landscape…

Neural and Evolutionary Computing · Computer Science 2026-05-28 Khoirul Faiq Muzakka , Ahsani Hafizhu Shali , Haris Suhendar , Sören Möller , Martin Finsterbusch

In this note we aim at putting more emphasis on the fact that trying to solve non-convex optimization problems with coordinate-descent iterative linear matrix inequality algorithms leads to suboptimal solutions, and put forward other…

Optimization and Control · Mathematics 2024-10-30 Emile Simon , Vincent Wertz

For parameterized mixed-binary optimization problems, we construct local decision rules that prescribe near-optimal courses of action across a set of parameter values. The decision rules stem from solving risk-adaptive training problems…

Optimization and Control · Mathematics 2024-04-24 Johannes O. Royset , Miguel A. Lejeune

Differential Evolution (DE) proved to be one of the most successful evolutionary algorithms for global optimization purposes in continuous problems. The core operator in DE is mutation which can provide the algorithm with both exploration…

Neural and Evolutionary Computing · Computer Science 2016-04-12 H. Sharifi Noghabi , H. Rajabi Mashhadi , K. Shojaei

The design of binary error-correcting codes is a challenging optimization problem with several applications in telecommunications and storage, which has also been addressed with metaheuristic techniques and evolutionary algorithms. Still,…

Neural and Evolutionary Computing · Computer Science 2022-11-22 Claude Carlet , Luca Mariot , Luca Manzoni , Stjepan Picek

A methodology grounded in model reduction is presented for accelerating the gradient-based solution of a family of linear or nonlinear constrained optimization problems where the constraints include at least one linear Partial Differential…

Numerical Analysis · Mathematics 2020-04-15 Youngsoo Choi , Gabriele Boncoraglio , Spenser Anderson , David Amsallem , Charbel Farhat

Planning can often be simpli ed by decomposing the task into smaller tasks arranged hierarchically. Charlin et al. [4] recently showed that the hierarchy discovery problem can be framed as a non-convex optimization problem. However, the…

Artificial Intelligence · Computer Science 2012-06-18 Marc Toussaint , Laurent Charlin , Pascal Poupart

Constructing fast numerical solvers for partial differential equations (PDEs) is crucial for many scientific disciplines. A leading technique for solving large-scale PDEs is using multigrid methods. At the core of a multigrid solver is the…

Numerical Analysis · Mathematics 2019-08-07 Daniel Greenfeld , Meirav Galun , Ron Kimmel , Irad Yavneh , Ronen Basri

Multi-modal optimization involves identifying multiple global and local optima of a function, offering valuable insights into diverse optimal solutions within the search space. Evolutionary algorithms (EAs) excel at finding multiple…

Neural and Evolutionary Computing · Computer Science 2025-09-09 Dikshit Chauhan , Shivani , Donghwi Jung , Anupam Yadav

Meta-black-box optimization has been significantly advanced through the use of large language models (LLMs), yet in fancy on constrained evolutionary optimization. In this work, AwesomeDE is proposed that leverages LLMs as the strategy of…

Neural and Evolutionary Computing · Computer Science 2026-03-11 Xu Yang , Rui Wang , Kaiwen Li , Wenhua Li , Weixiong Huang

Evolutionary algorithms have been widely applied for solving dynamic constrained optimization problems (DCOPs) as a common area of research in evolutionary optimization. Current benchmarks proposed for testing these problems in the…

Neural and Evolutionary Computing · Computer Science 2019-07-10 Maryam Hasani-Shoreh , María-Yaneli Ameca-Alducin , Wilson Blaikie , Frank Neumann , Marc Schoenauer

Supply chain transportation operations often account for a large proportion of product total cost to market. Such operations can be optimized by solving the Logistics Service Network Design Problem (LSNDP), wherein a logistics service…

Robotics · Computer Science 2020-10-01 Simon Belieres , Mike Hewitt , Nicolas Jozefowiez , Frédéric Semet

This paper provides an optimized cable path planning solution for a tree-topology network in an irregular 2D manifold in a 3D Euclidean space, with an application to the planning of submarine cable networks. Our solution method is based on…

Systems and Control · Electrical Eng. & Systems 2021-05-05 Tianjiao Wang , Zengfu Wang , Bill Moran , Moshe Zukerman

Many real-world problems are categorized as large-scale problems, and metaheuristic algorithms as an alternative method to solve large-scale problem; they need the evaluation of many candidate solutions to tackle them prior to their…

Neural and Evolutionary Computing · Computer Science 2020-09-14 Shahryar Rahnamayan , Seyed Jalaleddin Mousavirad

In this paper, we study multistage stochastic mixed-integer nonlinear programs (MS-MINLP). This general class of problems encompasses, as important special cases, multistage stochastic convex optimization with non-Lipschitzian value…

Optimization and Control · Mathematics 2022-05-23 Shixuan Zhang , Xu Andy Sun

Recent progress in LLM-driven algorithm discovery, exemplified by DeepMind's AlphaEvolve, has produced new best-known solutions for a range of hard geometric and combinatorial problems. This raises a natural question: to what extent can…

Optimization and Control · Mathematics 2026-01-16 Timo Berthold , Dominik Kamp , Gioni Mexi , Sebastian Pokutta , Imre Pólik
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