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We provide the global optimization community with new optimality proofs for six deceptive benchmark functions (five bound-constrained functions and one nonlinearly constrained problem). These highly multimodal nonlinear test problems are…

Optimization and Control · Mathematics 2020-03-24 Charlie Vanaret , Jean-Baptiste Gotteland , Nicolas Durand , Jean-Marc Alliot

Bayesian optimisation is a powerful method for optimising black-box functions, popular in settings where the true function is expensive to evaluate and no gradient information is available. Bayesian optimisation can improve responses to…

Machine Learning · Computer Science 2025-05-27 Sigrid Passano Hellan , Christopher G. Lucas , Nigel H. Goddard

Constraint Optimization Problems (COP) pose intricate challenges in combinatorial problems usually addressed through Branch and Bound (B\&B) methods, which involve maintaining priority queues and iteratively selecting branches to search for…

Artificial Intelligence · Computer Science 2023-12-27 Yingkai Xiao , Jingjin Liu , Hankz Hankui Zhuo

Fundamental theory on battery-powered cyber-physical systems (CPS) calls for dynamic models that are able to describe and predict the status of processors and batteries at any given time. We believe that the idealized system of single…

Systems and Control · Computer Science 2015-04-28 Z. Shi

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

Benchmarking plays an important role in the development of novel search algorithms as well as for the assessment and comparison of contemporary algorithmic ideas. This paper presents common principles that need to be taken into account when…

Neural and Evolutionary Computing · Computer Science 2018-10-08 Michael Hellwig , Hans-Georg Beyer

The problem of sparse approximation and the closely related compressed sensing have received tremendous attention in the past decade. Primarily studied from the viewpoint of applied harmonic analysis and signal processing, there have been…

Information Theory · Computer Science 2018-10-23 Ali Çivril

We present an algorithm for formal verification and parameter synthesis of continuous state-space Markov chains. This class of problems captures the design and analysis of a wide variety of autonomous and cyber-physical systems defined by…

Machine Learning · Computer Science 2020-12-04 Negin Musavi , Dawei Sun , Sayan Mitra , Geir Dullerud , Sanjay Shakkottai

Semidefinite programming (SDP) is a fundamental class of convex optimization problems with diverse applications in mathematics, engineering, machine learning, and related disciplines. This paper investigates the application of the…

Optimization and Control · Mathematics 2025-10-15 Zilong Cui , Ran Gu

Production systems use heuristics because they are faster or scale better than their optimal counterparts. Yet, practitioners are often unaware of the performance gap between a heuristic and the optimum or between two heuristics in…

Networking and Internet Architecture · Computer Science 2023-11-22 Pooria Namyar , Behnaz Arzani , Ryan Beckett , Santiago Segarra , Himanshu Raj , Umesh Krishnaswamy , Ramesh Govindan , Srikanth Kandula

In multi-objective optimization, designing good benchmark problems is an important issue for improving solvers. Controlling the global location of Pareto optima in existing benchmark problems has been problematic, and it is even more…

Optimization and Control · Mathematics 2024-02-13 Ryosuke Ota , Reiya Hagiwara , Naoki Hamada , Likun Liu , Takahiro Yamamoto , Daisuke Sakurai

Many real-world problems involve massive amounts of data. Under these circumstances learning algorithms often become prohibitively expensive, making scalability a pressing issue to be addressed. A common approach is to perform sampling to…

Machine Learning · Computer Science 2015-08-10 Uday Kamath , Carlotta Domeniconi , Kenneth De Jong

The Minimum Set Cover Problem (MSCP) is a classical NP-hard combinatorial optimization problem with numerous applications in science and engineering. Although a wide range of exact, approximate, and metaheuristic approaches have been…

Artificial Intelligence · Computer Science 2026-04-07 Isidora Hernández , Héctor Ferrada , Cristóbal A. Navarro

The Oven Scheduling Problem (OSP) is an NP-hard real-world parallel batch scheduling problem arising in the semiconductor industry. The objective of the problem is to schedule a set of jobs on ovens while minimizing several factors, namely…

Artificial Intelligence · Computer Science 2024-10-03 Francesca Da Ros , Marie-Louise Lackner , Nysret Musliu

This paper introduces a modular framework for Mixed-variable and Combinatorial Bayesian Optimization (MCBO) to address the lack of systematic benchmarking and standardized evaluation in the field. Current MCBO papers often introduce…

Machine Learning · Computer Science 2023-12-12 Kamil Dreczkowski , Antoine Grosnit , Haitham Bou Ammar

Almost climate neutral buildings are one of the core goals in terms of sustainability. Beside the support of the necessary design decisions for an integrated, interoperable, ecological and economical operation of building energy systems,…

Systems and Control · Electrical Eng. & Systems 2019-10-17 Armin Wolf

This document briefly describes the Black-Box Multi-Objective Optimization Benchmarking (BMOBench) platform. It presents the test problems, evaluation procedure, and experimental setup. To this end, the BMOBench is demonstrated by comparing…

Optimization and Control · Mathematics 2017-07-04 Abdullah Al-Dujaili , S. Suresh

Convolved Gaussian Process (CGP) is able to capture the correlations not only between inputs and outputs but also among the outputs. This allows a superior performance of using CGP than standard Gaussian Process (GP) in the modelling of…

Neural and Evolutionary Computing · Computer Science 2017-09-14 Gang Cao , Edmund M-K Lai , Fakhrul Alam

Multirobot systems for covering environments are increasingly used in applications like cleaning, industrial inspection, patrolling, and precision agriculture. The problem of covering a given environment using multiple robots can be…

Multiagent Systems · Computer Science 2020-01-10 Mirko Salaris , Alessandro Riva , Francesco Amigoni

Scenario reduction (SR) aims to identify a small yet representative scenario set to depict the underlying uncertainty, which is critical to scenario-based stochastic optimization (SBSO) of power systems. Existing SR techniques commonly aim…

Optimization and Control · Mathematics 2025-06-16 Yingrui Zhuang , Lin Cheng , Ning Qi , Mads R. Almassalkhi , Feng Liu
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