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Distributed algorithms for solving additive or consensus optimization problems commonly rely on first-order or proximal splitting methods. These algorithms generally come with restrictive assumptions and at best enjoy a linear convergence…

Optimization and Control · Mathematics 2017-05-11 Sina Khoshfetrat Pakazad , Christian A. Naesseth , Fredrik Lindsten , Anders Hansson

Diversity optimization is the class of optimization problems in which we aim to find a diverse set of good solutions. One of the frequently-used approaches to solve such problems is to use evolutionary algorithms that evolve a desired…

Neural and Evolutionary Computing · Computer Science 2025-12-17 Denis Antipov , Aneta Neumann , Frank Neumann , Andrew M. Sutton

This study compares three evolutionary algorithms for the problem of fog service placement: weighted sum genetic algorithm (WSGA), non-dominated sorting genetic algorithm II (NSGA-II), and multiobjective evolutionary algorithm based on…

Neural and Evolutionary Computing · Computer Science 2025-01-20 Carlos Guerrero , Isaac Lera , Carlos Juiz

In a mixture of linear regression model, the regression coefficients are treated as random vectors that may follow either a continuous or discrete distribution. We propose two Expectation-Maximization (EM) algorithms to estimate this prior…

Methodology · Statistics 2025-10-17 Andrew Welbaum , Wanli Qiao

We present a framework for distributed Pose Graph Optimization (PGO) by formulating the problem as a second-order continuous-time dynamical system evolving on Lie groups. By modeling pose variables as massive particles subject to damping,…

Robotics · Computer Science 2026-05-13 Jaeho Shin , Maani Ghaffari , Yulun Tian

In this paper, a downlink multiple input multiple output (MIMO) non-orthogonal multiple access (NOMA) wireless communication system is considered. In NOMA systems, the base station has unicast data for all users, and multiple users in a…

Signal Processing · Electrical Eng. & Systems 2020-08-06 Ahmet Zahid Yalcin , Mustafa Kagan Cetin , Melda Yuksel

Multi-Objective Optimization (MOO) is an important problem in real-world applications. However, for a non-trivial problem, no single solution exists that can optimize all the objectives simultaneously. In a typical MOO problem, the goal is…

Machine Learning · Computer Science 2024-09-17 Zhang Haishan , Diptesh Das , Koji Tsuda

Many-objective optimisation, a subset of multi-objective optimisation, involves optimisation problems with more than three objectives. As the number of objectives increases, the number of solutions needed to adequately represent the entire…

Artificial Intelligence · Computer Science 2026-04-13 Chao Jiang , Jingyu Huang , Miqing Li

We establish that in distributed optimization, the prevalent strategy of minimizing the second-largest eigenvalue modulus (SLEM) of the averaging matrix for selecting communication weights, while optimal for existing theoretical performance…

Optimization and Control · Mathematics 2024-02-09 Sebastien Colla , Julien M. Hendrickx

Algorithms developed for scheduling applications on heterogeneous multiprocessor system focus on asingle objective such as execution time, cost or total data transmission time. However, if more than oneobjective (e.g. execution cost and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-11 M. Rathna Devi , A. Anju

Offline multi-objective optimization (MOO) aims to recover Pareto-optimal designs given a finite, static dataset. Recent generative approaches, including diffusion models, show strong performance under hypervolume, yet their behavior under…

Machine Learning · Computer Science 2026-05-13 Stephanie Holly , Alexandru-Ciprian Zăvoianu , Siegfried Silber , Sepp Hochreiter , Werner Zellinger

Tasks in multi-task learning often correlate, conflict, or even compete with each other. As a result, a single solution that is optimal for all tasks rarely exists. Recent papers introduced the concept of Pareto optimality to this field and…

Machine Learning · Computer Science 2020-08-28 Pingchuan Ma , Tao Du , Wojciech Matusik

Overcrowding in emergency departments (ED) is a persistent problem exacerbated by population growth, emergence of pandemics, and increased morbidity and mortality rates. Thus, automated approaches for ED layout design have recently emerged…

Neural and Evolutionary Computing · Computer Science 2025-04-17 Ola Sarhan , Manal Abdel Wahed , Muhammad Ali Rushdi

This paper proposes a new evolutionary algorithm, called DSMGA-II, to efficiently solve optimization problems via exploiting problem substructures. The proposed algorithm adopts pairwise linkage detection and stores the information in the…

Neural and Evolutionary Computing · Computer Science 2018-08-01 Shih-Huan Hsu , Tian-Li Yu

Maximum mean discrepancy (MMD) has been widely employed to measure the distance between probability distributions. In this paper, we propose using MMD to solve continuous multi-objective optimization problems (MOPs). For solving MOPs, a…

Machine Learning · Computer Science 2025-05-21 Hao Wang , Chenyu Shi , Angel E. Rodriguez-Fernandez , Oliver Schütze

We present a review that unifies decision-support methods for exploring the solutions produced by multi-objective optimization (MOO) algorithms. As MOO is applied to solve diverse problems, approaches for analyzing the trade-offs offered by…

Artificial Intelligence · Computer Science 2023-11-21 Zuzanna Osika , Jazmin Zatarain Salazar , Diederik M. Roijers , Frans A. Oliehoek , Pradeep K. Murukannaiah

In this paper, we consider the optimal coordination of automated vehicles at intersections under fixed crossing orders. We formulate the problem using direct optimal control and exploit the structure to construct a semi-distributed…

Systems and Control · Electrical Eng. & Systems 2021-11-22 Robert Hult , Mario Zanon , Sebastien Gros , Paolo Falcone

Multi-objective Bayesian optimization (MOBO) has shown promising performance on various expensive multi-objective optimization problems (EMOPs). However, effectively modeling complex distributions of the Pareto optimal solutions is…

Machine Learning · Computer Science 2024-05-15 Bingdong Li , Zixiang Di , Yongfan Lu , Hong Qian , Feng Wang , Peng Yang , Ke Tang , Aimin Zhou

In multi-objective optimization, the set of optimal trade-offs -- the Pareto front -- often contains regions that are extremely steep or flat. The Pareto optimal points in these regions are typically of limited interest for decision-making,…

Optimization and Control · Mathematics 2026-02-26 Markus Herrmann-Wicklmayr , Kathrin Flaßkamp

Multi-objective optimization problems (MOPs) often require a trade-off between conflicting objectives, maximizing diversity and convergence in the objective space. This study presents an approach to improve the quality of MOP solutions by…

Optimization and Control · Mathematics 2026-02-02 Gladston Moreira , Ivan Meneghini , Elizabeth Wanner