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Many real world scientific and industrial applications require optimizing multiple competing black-box objectives. When the objectives are expensive-to-evaluate, multi-objective Bayesian optimization (BO) is a popular approach because of…

Machine Learning · Computer Science 2022-06-17 Samuel Daulton , David Eriksson , Maximilian Balandat , Eytan Bakshy

Some real problems require the evaluation of expensive and noisy objective functions. Moreover, the analytical expression of these objective functions may be unknown. These functions are known as black-boxes, for example, estimating the…

Machine Learning · Statistics 2021-07-12 Lucia Asencio Martín , Eduardo C. Garrido-Merchán

In expensive multi-objective optimization, where the evaluation budget is strictly limited, selecting promising candidate solutions for expensive fitness evaluations is critical for accelerating convergence and improving algorithmic…

Neural and Evolutionary Computing · Computer Science 2025-06-16 Huixiang Zhen , Xiaotong Li , Wenyin Gong , Xiangyun Hu

We present the results of a comprehensive study of optimization algorithms for the calibration of quantum devices. As part of our ongoing efforts to automate bring-up, tune-up, and system identification procedures, we investigate a broad…

Quantum Physics · Physics 2026-04-14 Kevin Pack , Shai Machnes , Frank K. Wilhelm

Optimizing multiple, non-preferential objectives for mixed-variable, expensive black-box problems is important in many areas of engineering and science. The expensive, noisy, black-box nature of these problems makes them ideal candidates…

Machine Learning · Computer Science 2022-11-15 Haris Moazam Sheikh , Philip S. Marcus

Machine learning (ML) methods offer a wide range of configurable hyperparameters that have a significant influence on their performance. While accuracy is a commonly used performance objective, in many settings, it is not sufficient.…

Machine Learning · Computer Science 2023-09-27 Romain Egele , Tyler Chang , Yixuan Sun , Venkatram Vishwanath , Prasanna Balaprakash

In the post-Moore era, main performance gains of black-box optimizers are increasingly depending on parallelism, especially for large-scale optimization (LSO). Here we propose to parallelize the well-established covariance matrix adaptation…

Neural and Evolutionary Computing · Computer Science 2024-10-14 Qiqi Duan , Chang Shao , Guochen Zhou , Minghan Zhang , Qi Zhao , Yuhui Shi

In this paper, we introduce a novel approach for addressing the multi-objective optimization problem in large language model merging via black-box multi-objective optimization algorithms. The goal of model merging is to combine multiple…

Computation and Language · Computer Science 2024-11-26 Bingdong Li , Zixiang Di , Yanting Yang , Hong Qian , Peng Yang , Hao Hao , Ke Tang , Aimin Zhou

In many practical optimization problems, the derivatives of the functions to be optimized are unavailable or unreliable. Such optimization problems are solved using derivative-free optimization techniques. One of the state-of-the-art…

Neural and Evolutionary Computing · Computer Science 2018-05-30 Najeeb Khan

An emerging optimisation problem from the real-world applications, named the multi-point dynamic aggregation (MPDA) problem, has become one of the active research topics of the multi-robot system. This paper focuses on a multi-objective…

Neural and Evolutionary Computing · Computer Science 2021-05-12 Guanqiang Gao , Bin Xin , Yi Mei , Shuxin Ding , Juan Li

When solving optimization problems with black-box approaches, the algorithms gather valuable information about the problem instance during the optimization process. This information is used to adjust the distributions from which new…

Neural and Evolutionary Computing · Computer Science 2023-01-13 Dominik Schröder , Diederick Vermetten , Hao Wang , Carola Doerr , Thomas Bäck

We introduce COCO, an open source platform for Comparing Continuous Optimizers in a black-box setting. COCO aims at automatizing the tedious and repetitive task of benchmarking numerical optimization algorithms to the greatest possible…

Artificial Intelligence · Computer Science 2020-09-10 Nikolaus Hansen , Anne Auger , Raymond Ros , Olaf Mersmann , Tea Tušar , Dimo Brockhoff

Optimistic methods have been applied with success to single-objective optimization. Here, we attempt to bridge the gap between optimistic methods and multi-objective optimization. In particular, this paper is concerned with solving…

Optimization and Control · Mathematics 2016-12-28 Abdullah Al-Dujaili , S. Suresh

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

Efficient optimisation of black-box problems that comprise both continuous and categorical inputs is important, yet poses significant challenges. We propose a new approach, Continuous and Categorical Bayesian Optimisation (CoCaBO), which…

Machine Learning · Statistics 2020-08-11 Binxin Ru , Ahsan S. Alvi , Vu Nguyen , Michael A. Osborne , Stephen J Roberts

The Covariance Matrix Adaptation Evolutionary Strategy (CMA-ES) is one of the most advanced algorithms in numerical black-box optimization. For noisy objective functions, several approaches were proposed to mitigate the noise, e.g.,…

Neural and Evolutionary Computing · Computer Science 2025-06-04 Catalin-Viorel Dinu , Yash J. Patel , Xavier Bonet-Monroig , Hao Wang

High-dimensional Bayesian Optimization (BO) has attracted significant attention in recent research. However, existing methods have mainly focused on optimizing in continuous domains, while combinatorial (ordinal and categorical) and mixed…

Machine Learning · Statistics 2025-08-26 Lam Ngo , Huong Ha , Jeffrey Chan , Hongyu Zhang

Box-constraints limit the domain of decision variables and are common in real-world optimization problems, for example, due to physical, natural or spatial limitations. Consequently, solutions violating a box-constraint may not be…

Neural and Evolutionary Computing · Computer Science 2023-05-25 Diederick Vermetten , Manuel López-Ibáñez , Olaf Mersmann , Richard Allmendinger , Anna V. Kononova

Multi-objective optimization problems whose objectives have different evaluation costs are commonly seen in the real world. Such problems are now known as multi-objective optimization problems with heterogeneous objectives (HE-MOPs). So…

Neural and Evolutionary Computing · Computer Science 2022-08-26 Xilu Wang , Yaochu Jin , Sebastian Schmitt , Markus Olhofer

The covariance matrix adaptation evolution strategy (CMA-ES) is one of the most successful methods for solving black-box continuous optimization problems. One practically useful aspect of the CMA-ES is that it can be used without…

Neural and Evolutionary Computing · Computer Science 2023-09-15 Masahiro Nomura , Youhei Akimoto , Isao Ono