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Many traditional algorithms for solving combinatorial optimization problems involve using hand-crafted heuristics that sequentially construct a solution. Such heuristics are designed by domain experts and may often be suboptimal due to the…

Machine Learning · Computer Science 2020-12-25 Nina Mazyavkina , Sergey Sviridov , Sergei Ivanov , Evgeny Burnaev

In real-world applications, users often favor structurally diverse design choices over one high-quality solution. It is hence important to consider more solutions that decision makers can compare and further explore based on additional…

Machine Learning · Computer Science 2025-04-02 Maria Laura Santoni , Elena Raponi , Aneta Neumann , Frank Neumann , Mike Preuss , Carola Doerr

The growing integration of mobile robots in shared workspaces requires efficient path planning and coordination between the agents, accounting for safety and productivity. In this work, we propose a digital model-based optimization…

Robotics · Computer Science 2025-12-22 Christian Cella , Sole Ester Sonnino , Marco Faroni , Andrea Zanchettin , Paolo Rocco

One key challenge in optimization is the selection of a suitable set of benchmark problems. A common goal is to find functions which are representative of a class of real-world optimization problems in order to ensure findings on the…

Neural and Evolutionary Computing · Computer Science 2025-05-15 Diederick Vermetten , Catalin-Viorel Dinu , Marcus Gallagher

Challenging combinatorial optimization problems are ubiquitous in science and engineering. Several quantum methods for optimization have recently been developed, in different settings including both exact and approximate solvers. Addressing…

Quantum Physics · Physics 2023-09-20 Nicolas PD Sawaya , Albert T Schmitz , Stuart Hadfield

We propose a generative, end-to-end solver for black-box combinatorial optimization that emphasizes both sample efficiency and solution quality on NP problems. Drawing inspiration from annealing-based algorithms, we treat the black-box…

Machine Learning · Computer Science 2025-08-07 Yuan-Hang Zhang , Massimiliano Di Ventra

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

In multiobjective optimization, the result of an optimization algorithm is a set of efficient solutions from which the decision maker selects one. It is common that not all the efficient solutions can be computed in a short time and the…

Neural and Evolutionary Computing · Computer Science 2024-03-20 Miguel Ángel Domínguez-Ríos , Francisco Chicano , Enrique Alba

We propose new abstract and unified perspectives on a range of scheduling and graph coloring problems with general min-sum objectives. Specifically, we consider various problems where the objective function is the weighted sum of completion…

Data Structures and Algorithms · Computer Science 2026-02-12 Alexander Lindermayr , Zhenwei Liu , Nicole Megow

Recent advances in the field of adiabatic quantum computing and the closely related field of quantum annealers has centered around using more advanced and novel Hamiltonian representations to solve optimization problems. One of these…

Quantum Physics · Physics 2022-07-12 Hannes Leipold , Federico M. Spedalieri

Black-box problems are common in real life like structural design, drug experiments, and machine learning. When optimizing black-box systems, decision-makers always consider multiple performances and give the final decision by comprehensive…

Machine Learning · Computer Science 2021-01-22 Wenjie Chen , Shengcai Liu , Ke Tang

In computer science, there exist a large number of optimization problems defined on graphs, that is to find a best node state configuration or a network structure such that the designed objective function is optimized under some…

Machine Learning · Computer Science 2020-04-17 Yaoxin Li , Jing Liu , Guozheng Lin , Yueyuan Hou , Muyun Mou , Jiang Zhang

In the present paper we describe new heuristic technique, which can be applied to the optimization of pseudo-Boolean functions including Black-Box functions. This technique is based on a simple procedure which consists in transition from…

Neural and Evolutionary Computing · Computer Science 2019-08-05 Alexander A. Semenov

Many real-world optimisation problems are defined over both categorical and continuous variables, yet efficient optimisation methods such asBayesian Optimisation (BO) are not designed tohandle such mixed-variable search spaces. Recent…

Machine Learning · Statistics 2022-02-18 Yan Zuo , Amir Dezfouli , Iadine Chades , David Alexander , Benjamin Ward Muir

As the use of machine learning (ML) permeates into diverse application domains, there is an urgent need to support a declarative framework for ML. Ideally, a user will specify an ML task in a high-level and easy-to-use language and the…

The increasing availability of graph-structured data motivates the task of optimising over functions defined on the node set of graphs. Traditional graph search algorithms can be applied in this case, but they may be sample-inefficient and…

Machine Learning · Computer Science 2023-10-31 Xingchen Wan , Pierre Osselin , Henry Kenlay , Binxin Ru , Michael A. Osborne , Xiaowen Dong

Difficult, in particular NP-complete, optimization problems are traditionally solved approximately using search heuristics. These are usually slowed down by the rugged landscapes encountered, because local minima arrest the search process.…

Artificial Intelligence · Computer Science 2023-11-08 Konstantin Klemm , Anita Mehta , Peter F. Stadler

Black-box optimization is increasingly used in engineering design problems where simulation-based evaluations are costly and gradients are unavailable. In this context, the optimization community has largely analyzed algorithm performance…

Neural and Evolutionary Computing · Computer Science 2026-02-06 Iván Olarte Rodríguez , Gokhan Serhat , Mariusz Bujny , Fabian Duddeck , Thomas Bäck , Elena Raponi

Motion planning is a key aspect of robotics. A common approach to address motion planning problems is trajectory optimization. Trajectory optimization can represent the high-level behaviors of robots through mathematical formulations.…

Robotics · Computer Science 2024-08-21 Fatemeh Rastgar

Bayesian optimisation has proven to be a powerful tool for expensive global black-box optimisation problems. In this paper, we propose new Bayesian optimisation variants of the popular Knowledge Gradient acquisition functions for problems…

Machine Learning · Computer Science 2025-12-22 Xietao Wang Lin , Juan Ungredda , Max Butler , James Town , Alma Rahat , Hemant Singh , Juergen Branke