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Stochastic optimisation algorithms are the de facto standard for machine learning with large amounts of data. Handling only a subset of available data in each optimisation step dramatically reduces the per-iteration computational costs,…

Numerical Analysis · Mathematics 2024-12-19 Matthias J. Ehrhardt , Zeljko Kereta , Jingwei Liang , Junqi Tang

We provide a novel computer-assisted technique for systematically analyzing first-order methods for optimization. In contrast with previous works, the approach is particularly suited for handling sublinear convergence rates and stochastic…

Optimization and Control · Mathematics 2021-12-22 Adrien Taylor , Francis Bach

Ant colony system (ACS) is a promising approach which has been widely used in problems such as Travelling Salesman Problems (TSP), Job shop scheduling problems (JSP) and Quadratic Assignment problems (QAP). In its original implementation,…

Artificial Intelligence · Computer Science 2016-10-27 M. K. A. Ariyaratne , T. G. I. Fernando , S. Weerakoon

In this paper, we investigate the damage detection of structures seen as an optimization problem, using modal characterization to evaluate the dynamic response of the structure given a damage model. We implemented the firefly optimization…

Computational Engineering, Finance, and Science · Computer Science 2018-04-25 Camilo Manrique Escobar , Octavio Andrés González-Estrada , Heller Guillermo Sánchez Acevedo

A recent nature inspired optimization algorithm, Fish School Search (FSS) is applied to the finite element model (FEM) updating problem. This method is tested on a GARTEUR SM-AG19 aeroplane structure. The results of this algorithm are…

Computational Engineering, Finance, and Science · Computer Science 2013-08-13 I. Boulkabeit , L. Mthembu , T. Marwala , F. De Lima Neto

This paper describes a new approach to solving some stochastic optimization problems for linear dynamic system with various parametric uncertainties. Proposed approach is based on application of tensor formalism for creation the…

Artificial Intelligence · Computer Science 2009-09-15 Vadim Yatsenko

Metaheuristic algorithms are becoming an important part of modern optimization. A wide range of metaheuristic algorithms have emerged over the last two decades, and many metaheuristics such as particle swarm optimization are becoming…

Optimization and Control · Mathematics 2012-12-04 Xin-She Yang

Within this work, we consider optimization settings for nonlinear, nonstationary fluid-structure interaction. The problem is formulated in a monolithic fashion using the arbitrary Lagrangian-Eulerian framework to set-up the fluid-structure…

Numerical Analysis · Mathematics 2020-06-29 Thomas Wick , Winnifried Wollner

This paper presents a new methodology to craft navigation functions for nonlinear systems with stochastic uncertainty. The method relies on the transformation of the Hamilton-Jacobi-Bellman (HJB) equation into a linear partial differential…

Robotics · Computer Science 2014-09-23 Matanya B. Horowitz , Joel W. Burdick

This paper introduces a methodology designed to augment the inverse design optimization process in scenarios constrained by limited compute, through the strategic synergy of multi-fidelity evaluations, machine learning models, and…

Computational Engineering, Finance, and Science · Computer Science 2024-06-04 Luka Grbcic , Juliane Müller , Wibe Albert de Jong

The paper proposes a novel nature-inspired technique of optimization. It mimics the perching nature of eagles and uses mathematical formulations to introduce a new addition to metaheuristic algorithms. The nature of the proposed algorithm…

Neural and Evolutionary Computing · Computer Science 2018-07-10 Ameer Tamoor Khan , Shuai Li Senior , Predrag S. Stanimirovic , Yinyan Zhang

Most optimization problems in real life applications are often highly nonlinear. Local optimization algorithms do not give the desired performance. So, only global optimization algorithms should be used to obtain optimal solutions. This…

Neural and Evolutionary Computing · Computer Science 2012-11-28 Mohammed El-Dosuky , Ahmed EL-Bassiouny , Taher Hamza , Magdy Rashad

Ignoring uncertainty in combinatorial optimization leads to suboptimal decisions in practice. Nevertheless, the focus is often on deterministic combinatorial optimization problems, mainly because they are already challenging enough without…

Optimization and Control · Mathematics 2024-08-13 Joost Berkhout

This paper proposes novel algorithm for non-convex multimodal constrained optimisation problems. It is based on sequential solving restrictions of problem to sections of feasible set by random subspaces (in general, manifolds) of low…

Optimization and Control · Mathematics 2023-03-28 Dmitry A. Pasechnyuk , Alexander Gornov

Optimisation problems are ubiquitous in particle and astrophysics, and involve locating the optimum of a complicated function of many parameters that may be computationally expensive to evaluate. We describe a number of global optimisation…

In many data classification problems, there is no linear relationship between an explanatory and the dependent variables. Instead, there may be ranges of the input variable for which the observed outcome is signficantly more or less likely.…

Machine Learning · Computer Science 2016-04-13 Mallory Sheth , Roy Welsch , Natasha Markuzon

We study the problem of optimizing nonlinear objective functions over bipartite matchings. While the problem is generally intractable, we provide several efficient algorithms for it, including a deterministic algorithm for maximizing convex…

Optimization and Control · Mathematics 2008-07-24 Yael Berstein , Shmuel Onn

This paper presents a numerical function optimization framework designed for constrained optimization problems in robotics. The tool is designed with real-time considerations and is suitable for online trajectory and control input…

Robotics · Computer Science 2025-11-11 Sait Sovukluk , Christian Ott

Swarm intelligence has becoming a powerful technique in solving design and scheduling tasks. Metaheuristic algorithms are an integrated part of this paradigm, and particle swarm optimization is often viewed as an important landmark. The…

Optimization and Control · Mathematics 2013-03-27 Xin-She Yang

As optimization problems grow increasingly complex and diverse, advancements in optimization techniques and paradigm innovations hold significant importance. The challenges posed by optimization problems are primarily manifested in their…

Artificial Intelligence · Computer Science 2025-11-06 Shipeng Cen , Ying Tan