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This article focuses on the optimization of a complex system which is composed of several subsystems. On the one hand, these subsystems are subject to multiple objectives, local constraints as well as local variables, and they are…

In this article, we build on previous work to present an optimization algorithm for nonlinearly constrained multi-objective optimization problems. The algorithm combines a surrogate-assisted derivative-free trust-region approach with the…

Optimization and Control · Mathematics 2023-04-20 Manuel Berkemeier , Sebastian Peitz

In engineering optimization problems, multiple objectives with a large number of variables under highly nonlinear constraints are usually required to be simultaneously optimized. Significant computing effort are required to find the Pareto…

Neural and Evolutionary Computing · Computer Science 2020-08-06 Junfei Zhang , Yimiao Huang , Guowei Ma , Brett Nener

Multi-objective optimization is a type of decision making problems where multiple conflicting objectives are optimized. We study offline optimization of multi-objective policies from data collected by an existing policy. We propose a…

Machine Learning · Computer Science 2023-10-31 Shima Alizadeh , Aniruddha Bhargava , Karthick Gopalswamy , Lalit Jain , Branislav Kveton , Ge Liu

Multi-agent optimization problems with many objective functions have drawn much interest over the past two decades. Many works on the subject minimize the sum of objective functions, which implicitly carries a decision about the problem…

Systems and Control · Electrical Eng. & Systems 2020-03-05 Maude J. Blondin , Matthew Hale

A sequential quadratic programming method is designed for solving general smooth nonlinear stochastic optimization problems subject to expectation equality constraints. We consider the setting where the objective and constraint function…

Optimization and Control · Mathematics 2026-03-17 Haoming Shen , Yang Zeng , Baoyu Zhou

Multiobjective combinatorial optimization deals with problems considering more than one viewpoint or scenario. The problem of aggregating multiple criteria to obtain a globalizing objective function is of special interest when the number of…

Optimization and Control · Mathematics 2013-06-07 Elena Fernández , Miguel A. Pozo , Justo Puerto

In a multiobjective optimization problem a solution is called Pareto-optimal if no criterion can be improved without deteriorating at least one of the other criteria. Computing the set of all Pareto-optimal solutions is a common task in…

Data Structures and Algorithms · Computer Science 2020-10-22 Heiko Röglin

We address the problem of multiple local optima commonly arising in optimization problems for multi-agent systems, where objective functions are nonlinear and nonconvex. For the class of coverage control problems, we propose a systematic…

Optimization and Control · Mathematics 2014-09-09 Xinmiao Sun , Christos G. Cassandras , Kagan Gokbayrak

Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to…

In this paper, we propose a multi-kernel classifier learning algorithm to optimize a given nonlinear and nonsmoonth multivariate classifier performance measure. Moreover, to solve the problem of kernel function selection and kernel…

Machine Learning · Computer Science 2015-08-26 Jingbin Wang , Haoxiang Wang , Yihua Zhou , Nancy McDonald

For solving constrained multicriteria problems, we introduce the multiobjective barrier method (MBM), which extends the scalar-valued internal penalty method. This multiobjective version of the classical method also requires a penalty…

Optimization and Control · Mathematics 2018-04-02 Ellen H. Fukuda , L. M. Grana Drummond , Fernanda M. P. Raupp

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

The Quadratic Unconstrained Binary Optimization (QUBO) modeling and solution framework is a requirement for quantum and digital annealers. However optimality for QUBO problems of any practical size is extremely difficult to achieve. In…

Artificial Intelligence · Computer Science 2021-05-13 Amit Verma , Mark Lewis

Model predictive control is a prominent approach to construct a feedback control loop for dynamical systems. Due to real-time constraints, the major challenge in MPC is to solve model-based optimal control problems in a very short amount of…

Optimization and Control · Mathematics 2020-12-15 Sina Ober-Blöbaum , Sebastian Peitz

The goal of multi-objective optimisation is to identify a collection of points which describe the best possible trade-offs between the multiple objectives. In order to solve this vector-valued optimisation problem, practitioners often…

Optimization and Control · Mathematics 2025-05-09 Ben Tu , Nikolas Kantas , Robert M. Lee , Behrang Shafei

Multi-objective combinatorial optimization seeks Pareto-optimal solutions over exponentially large discrete spaces, yet existing methods sacrifice generality, scalability, or theoretical guarantees. We reformulate it as an online learning…

Machine Learning · Computer Science 2026-02-13 Esha Singh , Dongxia Wu , Chien-Yi Yang , Tajana Rosing , Rose Yu , Yi-An Ma

This paper studies the distributed optimization problem when the objective functions might be nondifferentiable and subject to heterogeneous set constraints. Unlike existing subgradient methods, we focus on the case when the exact…

Optimization and Control · Mathematics 2021-11-23 Kui Zhu , Yutao Tang

Multi-objective optimization involving Quadratic Unconstrained Binary Optimization (QUBO) problems arises in various domains. A fundamental challenge in this context is the effective balancing of multiple objectives, each potentially…

Machine Learning · Computer Science 2026-03-03 Loong Kuan Lee , Thore Gerlach , Nico Piatkowski

Many engineering problems have multiple objectives, and the overall aim is to optimize a non-linear function of these objectives. In this paper, we formulate the problem of maximizing a non-linear concave function of multiple long-term…

Machine Learning · Computer Science 2025-09-23 Qinbo Bai , Mridul Agarwal , Vaneet Aggarwal