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We propose a sequential quadratic programming (SQP) algorithm for inequality constrained optimization that is robust to the presence of bounded noise in function and derivative evaluations. We cover the case where constraint evaluations…

Optimization and Control · Mathematics 2026-04-17 Figen Oztoprak , Richard Byrd

Evolutionary computation techniques have mostly been used to solve various optimization and learning problems successfully. Evolutionary algorithm is more effective to gain optimal solution(s) to solve complex problems than traditional…

Neural and Evolutionary Computing · Computer Science 2013-03-05 Moslema Jahan , M. M. A. Hashem , Gazi Abdullah Shahriar

Stochastic variance reduced optimization methods are known to be globally convergent while they suffer from slow local convergence, especially when moderate or high accuracy is needed. To alleviate this problem, we propose an optimization…

Optimization and Control · Mathematics 2021-11-15 Hamed Sadeghi , Pontus Giselsson

In the context of industrial engineering, it is important to integrate efficient computational optimization methods in the product development process. Some of the most challenging simulation-based engineering design optimization problems…

Neural and Evolutionary Computing · Computer Science 2018-07-13 Ramses Sala , Niccolo Baldanzini , Marco Pierini

Bilevel optimization problems are a class of challenging optimization problems, which contain two levels of optimization tasks. In these problems, the optimal solutions to the lower level problem become possible feasible candidates to the…

Neural and Evolutionary Computing · Computer Science 2013-10-08 Ankur Sinha , Pekka Malo , Kalyanmoy Deb

The job sequencing and tool switching problem (SSP) has been extensively studied in the field of operations research, due to its practical relevance and methodological interest. Given a machine that can load a limited amount of tools…

Neural and Evolutionary Computing · Computer Science 2019-10-23 Jordana Mecler , Anand Subramanian , Thibaut Vidal

There has been a growing interest in the evolutionary computation community to compute a diverse set of high-quality solutions for a given optimisation problem. This can provide the practitioners with invaluable information about the…

Neural and Evolutionary Computing · Computer Science 2022-04-07 Adel Nikfarjam , Aneta Neumann , Frank Neumann

Quadratically Constrained Quadratic Programs (QCQPs) are an important class of optimization problems with diverse real-world applications. In this work, we propose a variational quantum algorithm for general QCQPs. By encoding the variables…

Quantum Physics · Physics 2023-09-20 Hongyi Zhou , Sirui Peng , Qian Li , Xiaoming Sun

This paper focuses on the design of sequential quadratic optimization (commonly known as SQP) methods for solving large-scale nonlinear optimization problems. The most computationally demanding aspect of such an approach is the computation…

Optimization and Control · Mathematics 2020-02-27 James V. Burke , Frank E. Curtis , Hao Wang , Jiashan Wang

Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution…

Artificial Intelligence · Computer Science 2015-09-24 Shayan Poursoltan , Frank Neumann

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

Sequential quadratic optimization algorithms are proposed for solving smooth nonlinear optimization problems with equality constraints. The main focus is an algorithm proposed for the case when the constraint functions are deterministic,…

Optimization and Control · Mathematics 2020-07-22 Albert Berahas , Frank E. Curtis , Daniel P. Robinson , Baoyu Zhou

We introduce BayeSQP, a novel algorithm for general black-box optimization that merges the structure of sequential quadratic programming with concepts from Bayesian optimization. BayeSQP employs second-order Gaussian process surrogates for…

Machine Learning · Computer Science 2026-02-04 Paul Brunzema , Sebastian Trimpe

We propose an innovative Parallel Quantum Local Search (PQLS) methodology that leverages the capabilities of small-scale quantum computers to efficiently address complex combinatorial optimization problems. Traditional Quantum Local Search…

Quantum Physics · Physics 2024-06-11 Chen-Yu Liu , Kuan-Cheng Chen

This paper presents a methodology for using varying sample sizes in sequential quadratic programming (SQP) methods for solving equality constrained stochastic optimization problems. The first part of the paper deals with the delicate issue…

Optimization and Control · Mathematics 2023-03-23 Albert S. Berahas , Raghu Bollapragada , Baoyu Zhou

The growth of evolutionary computing (EC) methods in the exploration of complex potential energy landscapes of atomic and molecular clusters, as well as crystals over the last decade or so is reviewed. The trend of growth indicates that…

Materials Science · Physics 2015-09-02 Kanchan Sarkar , S. P. Bhattacharyya

With rapid advancements in machine learning, first-order algorithms have emerged as the backbone of modern optimization techniques, owing to their computational efficiency and low memory requirements. Recently, the connection between…

Quantum Physics · Physics 2025-05-21 Jiaqi Leng , Bin Shi

Reliable global optimization is dedicated to finding a global minimum in the presence of rounding errors. The only approaches for achieving a numerical proof of global optimality are interval branch and bound methods that interleave…

Numerical Analysis · Mathematics 2020-01-31 Charlie Vanaret

Recently different evolutionary computation approaches have been developed that generate sets of high quality diverse solutions for a given optimisation problem. Many studies have considered diversity 1) as a mean to explore niches in…

Neural and Evolutionary Computing · Computer Science 2022-07-29 Adel Nikfarjam , Aneta Neumann , Jakob Bossek , Frank Neumann

In this paper, we concentrate on a particular category of quadratically constrained quadratic programming (QCQP): nonconvex QCQP with one equality constraint. This type of QCQP problem optimizes a quadratic objective under a fixed…

Optimization and Control · Mathematics 2025-06-05 Licheng Zhao , Rui Zhou , Wenqiang Pu