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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

In mobile edge computing (MEC) networks, mobile users generate diverse machine learning tasks dynamically over time. These tasks are typically offloaded to the nearest available edge server, by considering communication and computational…

Machine Learning · Computer Science 2025-03-26 Hongbo Li , Lingjie Duan

Regularization techniques are crucial to improving the generalization performance and training efficiency of deep neural networks. Many deep learning algorithms rely on weight decay, dropout, batch/layer normalization to converge faster and…

Machine Learning · Computer Science 2025-05-23 Peng Lu , Ahmad Rashid , Ivan Kobyzev , Mehdi Rezagholizadeh , Philippe Langlais

Learning to Optimize (LtO) is a problem setting in which a machine learning (ML) model is trained to emulate a constrained optimization solver. Learning to produce optimal and feasible solutions subject to complex constraints is a difficult…

Machine Learning · Computer Science 2024-03-18 James Kotary , Ferdinando Fioretto

Optimizing various wireless user tasks poses a significant challenge for networking systems because of the expanding range of user requirements. Despite advancements in Deep Reinforcement Learning (DRL), the need for customized optimization…

Networking and Internet Architecture · Computer Science 2024-02-16 Hongyang Du , Guangyuan Liu , Yijing Lin , Dusit Niyato , Jiawen Kang , Zehui Xiong , Dong In Kim

The Mixture of Experts (MoE) is a widely known neural architecture where an ensemble of specialized sub-models optimizes overall performance with a constant computational cost. However, conventional MoEs pose challenges at scale due to the…

Computation and Language · Computer Science 2023-09-12 Ted Zadouri , Ahmet Üstün , Arash Ahmadian , Beyza Ermiş , Acyr Locatelli , Sara Hooker

We consider the challenge of black-box optimization within hybrid discrete-continuous and variable-length spaces, a problem that arises in various applications, such as decision tree learning and symbolic regression. We propose DisCo-DSO…

Machine Learning · Computer Science 2024-12-17 Jacob F. Pettit , Chak Shing Lee , Jiachen Yang , Alex Ho , Daniel Faissol , Brenden Petersen , Mikel Landajuela

Despite recent progress in constructing generalizable parallel algorithm portfolios (PAPs), no general-purpose approach is yet available for multi-objective binary optimization problems (MOBOPs). To fill this gap, this paper proposes…

Neural and Evolutionary Computing · Computer Science 2026-05-18 Zhiyuan Wang , Shengcai Liu , Shaofeng Zhang , Ke Tang

Solving multi-objective optimization problems for large deep neural networks is a challenging task due to the complexity of the loss landscape and the expensive computational cost of training and evaluating models. Efficient Pareto front…

Machine Learning · Computer Science 2024-06-17 Anke Tang , Li Shen , Yong Luo , Shiwei Liu , Han Hu , Bo Du

Most decentralized optimization algorithms are handcrafted. While endowed with strong theoretical guarantees, these algorithms generally target a broad class of problems, thereby not being adaptive or customized to specific problem…

Optimization and Control · Mathematics 2024-10-03 Yutong He , Qiulin Shang , Xinmeng Huang , Jialin Liu , Kun Yuan

Black-box optimization (BBO) addresses problems where objectives are accessible only through costly queries without gradients or explicit structure. Classical derivative-free methods -- line search, direct search, and model-based solvers…

Machine Learning · Computer Science 2025-10-01 Morteza Kimiaei , Vyacheslav Kungurtsev

The evaluation of heuristic optimizers on test problems, better known as \emph{benchmarking}, is a cornerstone of research in multi-objective optimization. However, most test problems used in benchmarking numerical multi-objective black-box…

Optimization and Control · Mathematics 2026-01-26 Lennart Schäpermeier , Pascal Kerschke

Mixture-of-Experts (MoE) models provide a structured approach to combining specialized neural networks and offer greater interpretability than conventional ensembles. While MoEs have been successfully applied to image classification and…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Svetlana Pavlitska , Malte Stüven , Beyza Keskin , J. Marius Zöllner

Mixture-of-Experts (MoE) presents a naturally compatible and scalable framework for multimodal learning, demonstrating strong adaptability across diverse modalities and tasks. Despite its growing success, a comprehensive and systematic…

Machine Learning · Computer Science 2026-05-28 Liangwei Nathan Zheng , Wei Emma Zhang , Olaf Maennel , Lin Yue , Weitong Chen

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

Optimization is key to solve many problems in computational biology. Global optimization methods provide a robust methodology, and metaheuristics in particular have proven to be the most efficient methods for many applications. Despite…

Optimization and Control · Mathematics 2013-11-25 Jose A Egea , David Henriques , Thomas Cokelaer , Alejandro F Villaverde , Julio R Banga , Julio Saez-Rodriguez

Multiobjective combinatorial optimization (MOCO) problems can be found in many real-world applications. However, exactly solving these problems would be very challenging, particularly when they are NP-hard. Many handcrafted heuristic…

Machine Learning · Computer Science 2022-05-10 Xi Lin , Zhiyuan Yang , Qingfu Zhang

Many science and engineering applications feature non-convex optimization problems where the objective function can not be handled analytically, i.e. it is a black box. Examples include design optimization via experiments, or via costly…

Optimization and Control · Mathematics 2022-02-18 Lorenzo Sabug , Fredy Ruiz , Lorenzo Fagiano

In numerous applications across all science and engineering areas, there are optimization problems where both the objective function and the constraints have no closed-form expression or are too complex to be managed analytically, that they…

Optimization and Control · Mathematics 2022-02-24 Lorenzo Sabug , Fredy Ruiz , Lorenzo Fagiano

Mixture-of-Experts (MoE) models improve transformer efficiency but lack a unified theoretical explanation, especially when both feed-forward and attention layers are allowed to specialize. To this end, we study the Mixture-of-Transformers…

Machine Learning · Computer Science 2025-11-03 Hongbo Li , Qinhang Wu , Sen Lin , Yingbin Liang , Ness B. Shroff