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We propose a novel method that solves global optimization problems in two steps: (1) perform a (exponential) power-$N$ transformation to the not-necessarily differentiable objective function $f$ and get $f_N$, and (2) optimize the…

Optimization and Control · Mathematics 2024-12-24 Chen Xu

Increasing nature-inspired metaheuristic algorithms are applied to solving the real-world optimization problems, as they have some advantages over the classical methods of numerical optimization. This paper has proposed a new…

Neural and Evolutionary Computing · Computer Science 2017-08-10 Bing Zeng , Liang Gao , Xinyu Li

The Hybrid Genetic Optimisation framework (HYGO) is introduced to meet the pressing need for efficient and unified optimisation frameworks that support both parametric and functional learning in complex engineering problems. Evolutionary…

Neural and Evolutionary Computing · Computer Science 2026-02-10 Isaac Robledo , Yiqing Li , Guy Y. Cornejo Maceda , Rodrigo Castellanos

This study proposes a novel artificial protozoa optimizer (APO) that is inspired by protozoa in nature. The APO mimics the survival mechanisms of protozoa by simulating their foraging, dormancy, and reproductive behaviors. The APO was…

Neural and Evolutionary Computing · Computer Science 2025-05-07 Xiaopeng Wang , Vaclav Snasel , Seyedali Mirjalili , Jeng-Shyang Pan , Lingping Kong , Hisham A. Shehadeh

Efficient global optimization is a widely used method for optimizing expensive black-box functions such as tuning hyperparameter, and designing new material, etc. Despite its popularity, less attention has been paid to analyzing the…

Optimization and Control · Mathematics 2022-09-21 Wenjie Xu , Yuning Jiang , Emilio T. Maddalena , Colin N. Jones

In this paper, a novel swarm intelligent algorithm is proposed, known as the fitness dependent optimizer (FDO). The bee swarming reproductive process and their collective decision-making have inspired this algorithm; it has no algorithmic…

Neural and Evolutionary Computing · Computer Science 2019-04-11 Jaza M. Abdullah , Tarik A. Rashid

Realistic models of biological processes typically involve interacting components on multiple scales, driven by changing environment and inherent stochasticity. Such models are often analytically and numerically intractable. We revisit a…

Populations and Evolution · Quantitative Biology 2022-01-19 K. Bodova , E. Szep , N. H. Barton

This paper is concerned with convex composite minimization problems in a Hilbert space. In these problems, the objective is the sum of two closed, proper, and convex functions where one is smooth and the other admits a computationally…

Optimization and Control · Mathematics 2020-02-19 Patrick R. Johnstone , Pierre Moulin

Several fundamental problems in science and engineering consist of global optimization tasks involving unknown high-dimensional (black-box) functions that map a set of controllable variables to the outcomes of an expensive experiment.…

Machine Learning · Computer Science 2023-09-15 Mohamed Aziz Bhouri , Michael Joly , Robert Yu , Soumalya Sarkar , Paris Perdikaris

This paper focuses on finding approximate solutions to stochastic optimal control problems with control domains being not necessarily convex, where the state trajectory is subject to controlled stochastic differential equations. The…

Optimization and Control · Mathematics 2025-07-15 Shaolin Ji , Rundong Xu

This paper proposes a novel global optimization algorithm, Particle Filter-Based Optimization (PFO), designed for a class of stochastic optimization problems in which the objective function lacks an analytical form and is subject to noisy…

Optimization and Control · Mathematics 2025-06-23 Mostafa Eslami , Maryam Babazadeh

Global Optimization with First-principles Energy Expressions (GOFEE) is an efficient method for identifying low energy structures in computationally expensive energy landscapes such as the ones described by density functional theory (DFT),…

Chemical Physics · Physics 2023-07-06 Malthe K. Bisbo , Bjørk Hammer

In evolutionary algorithms, the fitness of a population increases with time by mutating and recombining individuals and by a biased selection of more fit individuals. The right selection pressure is critical in ensuring sufficient…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Marcus Hutter , Shane Legg

Individual robots are not effective at exploring large unmapped areas. An alternate approach is to use a swarm of simple robots that work together, rather than a single highly capable robot. The central-place foraging algorithm (CPFA) is…

Multiagent Systems · Computer Science 2016-12-05 Qi Lu , Melanie E. Moses , Joshua P. Hecker

This paper investigates a category of constrained fractional optimization problems that emerge in various practical applications. The objective function for this category is characterized by the ratio of a numerator and denominator, both…

Optimization and Control · Mathematics 2026-05-28 Yizun Lin , Jian-Feng Cai , Zhao-Rong Lai , Cheng Li

In this paper, the problem of safe global maximization (it should not be confused with robust optimization) of expensive noisy black-box functions satisfying the Lipschitz condition is considered. The notion "safe" means that the objective…

Optimization and Control · Mathematics 2020-08-18 Yaroslav D. Sergeyev , Antonio Candelieri , Dmitri E. Kvasov , Riccardo Perego

A new global stochastic search, guided mainly through derivative-free directional information computable from the sample statistical moments of the design variables within a Monte Carlo setup, is proposed. The search is aided by imparting…

Methodology · Statistics 2014-03-10 Saikat Sarkar , Debasish Roy , Ram Mohan Vasu

Optimal resource allocation is gaining a renewed interest due its relevance as a core problem in managing, over time, cloud and high-performance computing facilities. Semi-Bandit Feedback (SBF) is the reference method for efficiently…

Machine Learning · Computer Science 2022-10-13 Antonio Candelieri , Andrea Ponti , Francesco Archetti

Learning to optimize - the idea that we can learn from data algorithms that optimize a numerical criterion - has recently been at the heart of a growing number of research efforts. One of the most challenging issues within this approach is…

Machine Learning · Computer Science 2018-02-21 Louis Faury , Flavian Vasile

Numerical optimization techniques are widely used in a broad area of science and technology, from finding the minimal energy of systems in Physics or Chemistry to finding optimal routes in logistics or optimal strategies for high speed…

Neural and Evolutionary Computing · Computer Science 2025-08-20 Yury Chernyak , Ijaz Ahamed Mohammad , Nikolas Masnicak , Matej Pivoluska , Martin Plesch