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In this paper, we develop a stochastic set-valued optimization (SVO) framework tailored for robust machine learning. In the SVO setting, each decision variable is mapped to a set of objective values, and optimality is defined via set…

Optimization and Control · Mathematics 2026-03-19 Tommaso Giovannelli , Jingfu Tan , Luis Nunes Vicente

Reinforcement learning (RL) algorithms are designed to optimize problem-solving by learning actions that maximize rewards, a task that becomes particularly challenging in random and nonstationary environments. Even advanced RL algorithms…

Machine Learning · Computer Science 2025-10-31 Sebastian Zieglmeier , Niklas Erdmann , Narada D. Warakagoda

Developing versatile quadruped robots that can smoothly perform various actions and tasks in real-world environments remains a significant challenge. This paper introduces a novel vision-language-action (VLA) model, mixture of robotic…

Robotics · Computer Science 2025-03-12 Han Zhao , Wenxuan Song , Donglin Wang , Xinyang Tong , Pengxiang Ding , Xuelian Cheng , Zongyuan Ge

Model Predictive Control (MPC)-based Reinforcement Learning (RL) offers a structured and interpretable alternative to Deep Neural Network (DNN)-based RL methods, with lower computational complexity and greater transparency. However,…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Hossein Nejatbakhsh Esfahani , Javad Mohammadpour Velni

In real-world decision optimization, often multiple competing objectives must be taken into account. Following classical reinforcement learning, these objectives have to be combined into a single reward function. In contrast,…

Machine Learning · Computer Science 2022-04-12 Johannes Dornheim

We introduce a new algorithm for multi-objective reinforcement learning (MORL) with linear preferences, with the goal of enabling few-shot adaptation to new tasks. In MORL, the aim is to learn policies over multiple competing objectives…

Machine Learning · Computer Science 2019-11-07 Runzhe Yang , Xingyuan Sun , Karthik Narasimhan

Decomposition-based multiobjective evolutionary algorithms (MOEAs) with clustering-based reference vector adaptation show good optimization performance for many-objective optimization problems (MaOPs). Especially, algorithms that employ a…

Neural and Evolutionary Computing · Computer Science 2024-10-04 Takato Kinoshita , Naoki Masuyama , Yiping Liu , Yusuke Nojima , Hisao Ishibuchi

Many real-world problems contain multiple objectives and agents, where a trade-off exists between objectives. Key to solving such problems is to exploit sparse dependency structures that exist between agents. For example, in wind farm…

Artificial Intelligence · Computer Science 2022-07-04 Conor F. Hayes , Timothy Verstraeten , Diederik M. Roijers , Enda Howley , Patrick Mannion

Planning through crowded environments under uncertain obstacle motions remains difficult, as stochastic interactions often induce overly conservative behavior or reduced efficiency. To address this challenge, we propose an end-to-end risk…

Robotics · Computer Science 2026-05-21 Xinyi Wang , Taekyung Kim , Bardh Hoxha , Georgios Fainekos , Dimitra Panagou

We propose RHEA CL, which combines Curriculum Learning (CL) with Rolling Horizon Evolutionary Algorithms (RHEA) to automatically produce effective curricula during the training of a reinforcement learning agent. RHEA CL optimizes a…

Artificial Intelligence · Computer Science 2024-08-13 Mohit Jiwatode , Leon Schlecht , Alexander Dockhorn

We report a previously unidentified issue with model-free, value-based approaches to multiobjective reinforcement learning in the context of environments with stochastic state transitions. An example multiobjective Markov Decision Process…

Machine Learning · Computer Science 2021-03-16 Peter Vamplew , Cameron Foale , Richard Dazeley

Ensuring reliability in modern software systems requires rigorous pre-production testing across highly heterogeneous and evolving environments. Because exhaustive evaluation is infeasible, practitioners must decide how to allocate limited…

Software Engineering · Computer Science 2025-10-08 Yu Zhu

Safe reinforcement learning (RL) aims to learn policies that satisfy certain constraints before deploying them to safety-critical applications. Previous primal-dual style approaches suffer from instability issues and lack optimality…

Machine Learning · Computer Science 2022-06-20 Zuxin Liu , Zhepeng Cen , Vladislav Isenbaev , Wei Liu , Zhiwei Steven Wu , Bo Li , Ding Zhao

To avoid myopic behavior, multi-step lookahead Bayesian optimization (BO) algorithms consider the sequential nature of BO and have demonstrated promising results in recent years. However, owing to the curse of dimensionality, most of these…

Machine Learning · Computer Science 2026-04-24 Mujin Cheon , Jay H. Lee , Dong-Yeun Koh , Calvin Tsay

Multi-objective reinforcement learning (MORL) seeks to learn policies that balance multiple, often conflicting objectives. Although a single preference-conditioned policy is the most flexible and scalable solution, existing approaches…

Machine Learning · Computer Science 2026-02-10 Tanmay Ambadkar , Sourav Panda , Shreyash Kale , Jonathan Dodge , Abhinav Verma

Optimal inventory leads to stochastic optimization problems where deterministic delivery decisions have to be made in advance of stochastic demand realizations. Similarly, risk deposits have to be given before the random outcomes of…

Optimization and Control · Mathematics 2025-11-18 Andreas H. Hamel , Andreas Löhne

Multi-objective evolutionary algorithms (MOEAs) are essential for solving complex optimization problems, such as the diet problem, where balancing conflicting objectives, like cost and nutritional content, is crucial. However, most MOEAs…

Neural and Evolutionary Computing · Computer Science 2026-01-05 Gustavo V. Nascimento , Ivan R. Meneghini , Valéria Santos , Eduardo Luz , Gladston Moreira

Deep Reinforcement Learning (DRL) algorithms have been successfully applied to a range of challenging control tasks. However, these methods typically suffer from three core difficulties: temporal credit assignment with sparse rewards, lack…

Machine Learning · Computer Science 2018-10-30 Shauharda Khadka , Kagan Tumer

Tasks involving locally unstable or discontinuous dynamics (such as bifurcations and collisions) remain challenging in robotics, because small variations in the environment can have a significant impact on task outcomes. For such tasks,…

Robotics · Computer Science 2023-03-10 Alisa Allaire , Christopher G. Atkeson

Evolutionary multi-objective algorithms have been widely shown to be successful when utilized for a variety of stochastic combinatorial optimization problems. Chance constrained optimization plays an important role in complex real-world…

Neural and Evolutionary Computing · Computer Science 2023-03-06 Kokila Perera , Aneta Neumann , Frank Neumann