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We propose a Global-Local optimization algorithm for quantum control that combines standard local search methodologies with evolutionary algorithms. This allows us to find faster solutions to a set of problems relating to ultracold control…

Quantum Physics · Physics 2018-02-22 Jens Jakob Sørensen , Mikel Aranburu , Till Heinzel , Jacob Sherson

This work presents a unified framework that combines global approximations with locally built models to handle challenging nonconvex and nonsmooth composite optimization problems, including cases involving extended real-valued functions. We…

Optimization and Control · Mathematics 2026-02-19 Welington de Oliveira , Johannes O. Royset

Combinatorial optimization problems pose significant computational challenges across various fields, from logistics to cryptography. Traditional computational methods often struggle with their exponential complexity, motivating exploration…

Quantum Physics · Physics 2024-09-24 Mateusz Slysz , Krzysztof Kurowski , Grzegorz Waligóra

Sufficient conditions are found under which the iterated non-elitist genetic algorithm with tournament selection first visits a local optimum in polynomially bounded time on average. It is shown that these conditions are satisfied on a…

Neural and Evolutionary Computing · Computer Science 2014-03-31 Anton Eremeev

The topic of learning to solve optimization problems has received interest from both the operations research and machine learning communities. In this work, we combine techniques from both fields to address the problem of learning to…

Machine Learning · Computer Science 2022-04-25 Aaron Babier , Timothy C. Y. Chan , Adam Diamant , Rafid Mahmood

This paper studies the distributed optimization problem with possibly nonidentical local constraints, where its global objective function is composed of $N$ convex functions. The aim is to solve the considered optimization problem in a…

Optimization and Control · Mathematics 2022-08-26 Hongzhe Liu , Wenwu Yu , Guanghui Wen , Wei Xing Zheng

This article presents results of experimental studies the effectiveness of the genetic algorithm that was applied to effective queries creation and relevant document selection. Studies were carried out to the comparative analysis of the…

Information Retrieval · Computer Science 2015-04-06 V. K. Ivanov , B. V. Palyukh

Genetic algorithm (GA) is typically used to solve nonlinear model predictive control's optimization problem. However, the size of the search space in which the GA searches for the optimal control inputs is crucial for its applicability to…

Optimization and Control · Mathematics 2025-01-22 Eslam Mostafa , Hussein A. Aly , Ahmed Elliethy

This paper presented a genetic algorithm (GA) to solve the container storage problem in the port. This problem is studied with different container types such as regular, open side, open top, tank, empty and refrigerated containers. The…

Neural and Evolutionary Computing · Computer Science 2013-03-06 I. Ayachi , R. Kammarti , M. Ksouri , P. Borne , : , LAGIS , Ecole Centrale de Lille , : , LACS , Ecole Nationale des Ingenieurs de Tunis

In this work, we present a Gauss-Newton based quantum algorithm (GNQA) for combinatorial optimization problems that, under optimal conditions, rapidly converges towards one of the optimal solutions without being trapped in local minima or…

Quantum Physics · Physics 2022-06-20 Mitsuharu Takeori , Takahiro Yamamoto , Ryutaro Ohira , Shungo Miyabe

We present a Python package together with a practical guide for the implementation of a lightweight diversity-enhanced genetic algorithm (GA) approach for the exploration of multi-dimensional parameter spaces. Searching a parameter space…

Neural and Evolutionary Computing · Computer Science 2024-12-24 Jonas Wessén , Eliel Camargo-Molina

The k-means algorithm is one of the well-known and most popular clustering algorithms. K-means seeks an optimal partition of the data by minimizing the sum of squared error with an iterative optimization procedure, which belongs to the…

Machine Learning · Computer Science 2012-09-06 Ehsan Saboori , Shafigh Parsazad , Anoosheh Sadeghi

When looking for a solution, deterministic methods have the enormous advantage that they do find global optima. Unfortunately, they are very CPU-intensive, and are useless on untractable NP-hard problems that would require thousands of…

Neural and Evolutionary Computing · Computer Science 2011-12-20 Pierre Collet , Jean-Philippe Rennard

Many statistical problems involve optimization over a discrete parameter space having an unknown dimension. In such settings, gradient-based methods often fail due to the non-differentiability of the objective function or a non-convex or…

Applications · Statistics 2026-03-19 Mo Li , QiQi Lu , Robert Lund , Xueheng Shi

This chapter compiles a number of results that apply the theory of parameterized algorithmics to the running-time analysis of randomized search heuristics such as evolutionary algorithms. The parameterized approach articulates the running…

Neural and Evolutionary Computing · Computer Science 2020-01-16 Frank Neumann , Andrew M. Sutton

Combinatorial optimization problems implicitly define fitness landscapes that combine the numeric structure of the 'fitness' function to be maximized with the combinatorial structure of which assignments are 'adjacent'. Local search starts…

Data Structures and Algorithms · Computer Science 2026-01-13 Artem Kaznatcheev , Sofia Vazquez Alferez

Distributed quantum computing has been well-known for many years as a system composed of a number of small-capacity quantum circuits. Limitations in the capacity of monolithic quantum computing systems can be overcome by using distributed…

The optimization of expensive-to-evaluate black-box functions over combinatorial structures is an ubiquitous task in machine learning, engineering and the natural sciences. The combinatorial explosion of the search space and costly…

Machine Learning · Statistics 2018-10-11 Ricardo Baptista , Matthias Poloczek

Chance constrained optimization problems allow to model problems where constraints involving stochastic components should only be violated with a small probability. Evolutionary algorithms have been applied to this scenario and shown to…

Neural and Evolutionary Computing · Computer Science 2024-08-23 Frank Neumann , Carsten Witt

Scheduling problems are generally NP-hard combinatorial problems, and a lot of research has been done to solve these problems heuristically. However, most of the previous approaches are problem-specific and research into the development of…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Jingpeng Li , Uwe Aickelin