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Models involving hybrid systems are versatile in their application but difficult to optimize efficiently due to their combinatorial nature. This work presents a method to cope with hybrid optimal control problems which, in contrast to…

Optimization and Control · Mathematics 2025-05-20 Viktoriya Nikitina , Alberto De Marchi , Matthias Gerdts

Hybrid metaheuristics are powerful techniques for solving difficult optimization problems that exploit the strengths of different approaches in a single implementation. For algorithm designers, however, creating hybrid metaheuristic…

Neural and Evolutionary Computing · Computer Science 2025-02-18 Christian Camacho-Villalón , Marco Dorigo , Thomas Stützle

This paper presents preliminary work on using deep neural networks to guide general-purpose heuristic algorithms for performing utilitarian combinatorial assignment. In more detail, we use deep learning in an attempt to produce heuristics…

Artificial Intelligence · Computer Science 2021-07-02 Fredrik Präntare , Mattias Tiger , David Bergström , Herman Appelgren , Fredrik Heintz

Quantum computing (QC) has gained popularity due to its unique capabilities that are quite different from that of classical computers in terms of speed and methods of operations. This paper proposes hybrid models and methods that…

Quantum Physics · Physics 2019-11-12 Akshay Ajagekar , Travis Humble , Fengqi You

This paper reviews recent advances in the field of optimization under uncertainty via a modern data lens, highlights key research challenges and promise of data-driven optimization that organically integrates machine learning and…

Machine Learning · Computer Science 2019-04-16 Chao Ning , Fengqi You

In the field of derivative-free optimization, both of its main branches, the deterministic and nature-inspired techniques, experienced in recent years substantial advancement. In this paper, we provide an extensive computational comparison…

Neural and Evolutionary Computing · Computer Science 2022-12-15 Jakub Kudela

Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances,…

Data Structures and Algorithms · Computer Science 2015-02-20 Arindam Pal

Linear programming is the seminal optimization problem that has spawned and grown into today's rich and diverse optimization modeling and algorithmic landscape. This article provides an overview of the recent development of first-order…

Optimization and Control · Mathematics 2024-03-22 Haihao Lu

Bayesian optimization has emerged as a strong candidate tool for global optimization of functions with expensive evaluation costs. However, due to the dynamic nature of research in Bayesian approaches, and the evolution of computing…

Applications · Statistics 2018-08-24 Ran Rubin

Metaheuristic algorithms, widely used for solving complex non-convex and non-differentiable optimization problems, often lack a solid mathematical foundation. In this review, we explore how concepts and methods from kinetic theory can offer…

Optimization and Control · Mathematics 2024-10-15 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

Register allocation (mapping variables to processor registers or memory) and instruction scheduling (reordering instructions to increase instruction-level parallelism) are essential tasks for generating efficient assembly code in a…

Programming Languages · Computer Science 2019-06-10 Roberto Castañeda Lozano , Christian Schulte

Binary optimization is a central problem in mathematical optimization and its applications are abundant. To solve this problem, we propose a new class of continuous optimization techniques which is based on Mathematical Programming with…

Optimization and Control · Mathematics 2017-12-07 Ganzhao Yuan , Bernard Ghanem

The application of combinatorial optimization problems to solving the problems of planning processes for industries based on a fund of reconfigurable production resources is considered. The results of their solution by mixed integer…

Optimization and Control · Mathematics 2022-12-06 M. V. Saramud , E. A. Spirin , E. P. Talay , I. I. Pikalov

We propose a hierarchical architecture for efficiently computing high-quality solutions to structured mixed-integer programs (MIPs). To reduce computational effort, our approach decouples the original problem into a higher level problem and…

Optimization and Control · Mathematics 2025-12-04 Stefan Clarke , Bartolomeo Stellato

Biclustering is an unsupervised machine learning technique that simultaneously clusters rows and columns in a data matrix. Biclustering has emerged as an important approach and plays an essential role in various applications such as…

Machine Learning · Computer Science 2022-03-31 Adan Jose-Garcia , Julie Jacques , Vincent Sobanski , Clarisse Dhaenens

The integration of Large Language Models (LLMs) into optimization has created a powerful synergy, opening exciting research opportunities. This paper investigates how LLMs can enhance existing optimization algorithms. Using their…

Artificial Intelligence · Computer Science 2025-02-13 Camilo Chacón Sartori , Christian Blum

The ultimate goal of all optimization methods is to solve real-world problems. For a successful project execution, knowledge about optimization and the application has to be pooled. As it is too inefficient to highly train one person in…

Optimization and Control · Mathematics 2016-07-19 Simon Wessing

The template design problem (TDP) is a hard combinatorial problem with a high number of symmetries which makes solving it more complicated. A number of techniques have been proposed in the literature to optimise its resolution, ranging from…

Neural and Evolutionary Computing · Computer Science 2024-11-22 David Rodríguez Rueda , Carlos Cotta , Antonio J. Fernández-Leiva

Metaheuristics are stochastic optimization algorithms that mimic natural processes to find optimal solutions to complex problems. The success of metaheuristics largely depends on the ability to effectively explore and exploit the search…

Neural and Evolutionary Computing · Computer Science 2024-11-26 Salar Farahmand-Tabar

The Algorithm Selection Problem is concerned with selecting the best algorithm to solve a given problem on a case-by-case basis. It has become especially relevant in the last decade, as researchers are increasingly investigating how to…

Artificial Intelligence · Computer Science 2012-10-31 Lars Kotthoff