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In this article, we use the monotonic optimization approach to propose an outcome-space outer approximation by copolyblocks for solving strictly quasiconvex multiobjective programming problems and especially in the case that the objective…

Optimization and Control · Mathematics 2020-03-26 Tran Ngoc Thang , Vijender Kumar Solanki , Tuan Anh Dao , Nguyen Thi Ngoc Anh , Hai V. Pham

Multiobjective evolutionary algorithms (MOEAs) have been successfully applied to a number of constrained optimization problems. Many of them adopt mutation and crossover operators from differential evolution. However, these operators do not…

Neural and Evolutionary Computing · Computer Science 2019-11-11 Wei Huang , Tao Xu , Kangshun Li , Jun He

Expensive multi-objective optimization is a prevalent and crucial concern in many real-world scenarios, where sample-efficiency is vital due to the limited evaluations to recover the true Pareto front for decision making. Existing works…

Machine Learning · Computer Science 2026-02-03 Yiming Yao , Fei Liu , Liang Zhao , Xi Lin , Yilu Liu , Qingfu Zhang

The Covariance Matrix Adaptation Evolution Strategy (CMA-ES) is widely accepted as a robust derivative-free continuous optimization algorithm for non-linear and non-convex optimization problems. CMA-ES is well known to be almost…

Neural and Evolutionary Computing · Computer Science 2014-06-12 Ilya Loshchilov , Marc Schoenauer , Michèle Sebag , Nikolaus Hansen

Despite the state-of-the-art performance of the covariance matrix adaptation evolution strategy (CMA-ES), high-dimensional black-box optimization problems are challenging tasks. Such problems often involve a property called low effective…

Neural and Evolutionary Computing · Computer Science 2024-12-03 Kento Uchida , Teppei Yamaguchi , Shinichi Shirakawa

Multi-objective optimization aims to solve problems with competing objectives. Evaluating such problems is often slow or expensive, limiting the budget of evaluations. In many applications, historical data from related optimization tasks is…

Machine Learning · Computer Science 2026-05-12 Leonard Papenmeier , Petru Tighineanu

The main feature of large-scale multi-objective optimization problems (LSMOP) is to optimize multiple conflicting objectives while considering thousands of decision variables at the same time. An efficient LSMOP algorithm should have the…

Neural and Evolutionary Computing · Computer Science 2021-08-10 Haokai Hong , Kai Ye , Min Jiang , Donglin Cao , Kay Chen Tan

Finding a \emph{single} best solution is the most common objective in combinatorial optimization problems. However, such a single solution may not be applicable to real-world problems as objective functions and constraints are only…

Data Structures and Algorithms · Computer Science 2022-01-25 Tesshu Hanaka , Masashi Kiyomi , Yasuaki Kobayashi , Yusuke Kobayashi , Kazuhiro Kurita , Yota Otachi

It has been well documented that the use of exponentially-averaged momentum (EM) in particle swarm optimization (PSO) is advantageous over the vanilla PSO algorithm. In the single-objective setting, it leads to faster convergence and…

Neural and Evolutionary Computing · Computer Science 2022-11-15 Anwesh Bhattacharya , Snehanshu Saha , Nithin Nagaraj

To enable emerging applications such as deep machine learning and graph processing, 3D network-on-chip (NoC) enabled heterogeneous manycore platforms that can integrate many processing elements (PEs) are needed. However, designing such…

Machine Learning · Computer Science 2023-03-14 Sirui Qi , Yingheng Li , Sudeep Pasricha , Ryan Gary Kim

Multi-objective combinatorial optimization (MOCO) problems are prevalent in various real-world applications. Most existing neural MOCO methods rely on problem decomposition to transform an MOCO problem into a series of singe-objective…

Machine Learning · Computer Science 2025-01-28 Yongfan Lu , Zixiang Di , Bingdong Li , Shengcai Liu , Hong Qian , Peng Yang , Ke Tang , Aimin Zhou

Evolutionary algorithms (EAs) are the preferred method for solving black-box multi-objective optimization problems, but when gradients of the objective functions are available, it is not straightforward to exploit these efficiently. By…

Optimization and Control · Mathematics 2021-02-23 Timo M. Deist , Stefanus C. Maree , Tanja Alderliesten , Peter A. N. Bosman

Existing evolutionary algorithms for Constrained Multi-objective Optimization Problems (CMOPs) typically treat all constraints uniformly, overlooking their distinct geometric relationships with the true Constrained Pareto Front (CPF). In…

Neural and Evolutionary Computing · Computer Science 2026-04-07 Ruiqing Sun , Dawei Feng , Sheng Qi , Xing Zhou , Lianghao Li , Bo Ding , Yijie Wang , Rui Wang , Huaimin Wang

Bayesian optimization (BO) offers an efficient pipeline for optimizing black-box functions with the help of a Gaussian process prior and an acquisition function (AF). Recently, in the context of single-objective BO, learning-based AFs…

Machine Learning · Computer Science 2025-05-30 Yu-Heng Hung , Kai-Jie Lin , Yu-Heng Lin , Chien-Yi Wang , Cheng Sun , Ping-Chun Hsieh

Autonomous navigation often requires the simultaneous optimization of multiple objectives. The most common approach scalarizes these into a single cost function using a weighted sum, but this method is unable to find all possible trade-offs…

Robotics · Computer Science 2026-04-07 Krishna Kalavadia , Shamak Dutta , Yash Vardhan Pant , Stephen L. Smith

Several test function suites are being used for numerical benchmarking of multiobjective optimization algorithms. While they have some desirable properties, like well-understood Pareto sets and Pareto fronts of various shapes, most of the…

Artificial Intelligence · Computer Science 2019-01-07 Dimo Brockhoff , Tea Tusar , Anne Auger , Nikolaus Hansen

Rather than obtaining a single good solution for a given optimization problem, users often seek alternative design choices, because the best-found solution may perform poorly with respect to additional objectives or constraints that are…

Neural and Evolutionary Computing · Computer Science 2025-08-06 Maria Laura Santoni , Christoph Dürr , Carola Doerr , Mike Preuss , Elena Raponi

Automated Algorithm Selection (AAS) is a popular meta-algorithmic approach and has demonstrated to work well for single-objective optimisation in combination with exploratory landscape features (ELA), i.e., (numerical) descriptive features…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Oliver Preuß , Jeroen Rook , Jakob Bossek , Heike Trautmann

Black-box optimization is a very active area of research, with many new algorithms being developed every year. This variety is needed, on the one hand, since different algorithms are most suitable for different types of optimization…

Neural and Evolutionary Computing · Computer Science 2021-02-11 Anja Jankovic , Tome Eftimov , Carola Doerr

Bayesian optimization (BO) is an efficient and flexible global optimization framework that is applicable to a very wide range of engineering applications. To leverage the capability of the classical BO, many extensions, including…

Machine Learning · Statistics 2021-09-01 Anh Tran , Mike Eldred , Scott McCann , Yan Wang