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Multi-objective preference alignment of large language models (LLMs) is critical for developing AI systems that are more configurable, personalizable, helpful, and safe. However, optimizing model outputs to satisfy diverse objectives with…

Computation and Language · Computer Science 2025-03-04 Raghav Gupta , Ryan Sullivan , Yunxuan Li , Samrat Phatale , Abhinav Rastogi

In this article, we present an efficient descent method for locally Lipschitz continuous multiobjective optimization problems (MOPs). The method is realized by combining a theoretical result regarding the computation of descent directions…

Optimization and Control · Mathematics 2021-03-05 Bennet Gebken , Sebastian Peitz

Multi-agent reinforcement learning (MARL) becomes more challenging in the presence of more agents, as the capacity of the joint state and action spaces grows exponentially in the number of agents. To address such a challenge of scale, we…

Machine Learning · Computer Science 2021-05-19 Yan Li , Lingxiao Wang , Jiachen Yang , Ethan Wang , Zhaoran Wang , Tuo Zhao , Hongyuan Zha

Multi-Agent Reinforcement Learning (MARL) has become a powerful framework for numerous real-world applications, modeling distributed decision-making and learning from interactions with complex environments. Resource Allocation Optimization…

Multiagent Systems · Computer Science 2025-05-01 Mohamad A. Hady , Siyi Hu , Mahardhika Pratama , Jimmy Cao , Ryszard Kowalczyk

Safe reinforcement learning (Safe RL) refers to a class of techniques that aim to prevent RL algorithms from violating constraints in the process of decision-making and exploration during trial and error. In this paper, a novel model-free…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Homayoun Honari , Mehran Ghafarian Tamizi , Homayoun Najjaran

Multi-agent formation as well as obstacle avoidance is one of the most actively studied topics in the field of multi-agent systems. Although some classic controllers like model predictive control (MPC) and fuzzy control achieve a certain…

Systems and Control · Electrical Eng. & Systems 2021-11-16 Yuzi Yan , Xiaoxiang Li , Xinyou Qiu , Jiantao Qiu , Jian Wang , Yu Wang , Yuan Shen

To overcome the curse of dimensionality and curse of modeling in Dynamic Programming (DP) methods for solving classical Markov Decision Process (MDP) problems, Reinforcement Learning (RL) algorithms are popular. In this paper, we consider…

Machine Learning · Computer Science 2018-11-29 Arghyadip Roy , Vivek Borkar , Abhay Karandikar , Prasanna Chaporkar

In this work, the author presents a novel method for finding descent directions shared by two or more differentiable functions defined on the same unconstrained domain space. Then, the author illustrates an alternative Multiple-Gradient…

Optimization and Control · Mathematics 2026-01-08 Francesco Della Santa

Reinforcement learning is the method of choice to train models in sampling-based setups with binary outcome feedback, such as navigation, code generation, and mathematical problem solving. In such settings, models implicitly induce a…

Inspired by the impressive reasoning capabilities demonstrated by reinforcement learning approaches like DeepSeek-R1, recent emerging research has begun exploring the use of reinforcement learning (RL) to enhance vision-language models…

Computer Vision and Pattern Recognition · Computer Science 2025-06-19 Yizhen Zhang , Yang Ding , Shuoshuo Zhang , Xinchen Zhang , Haoling Li , Zhong-zhi Li , Peijie Wang , Jie Wu , Lei Ji , Yelong Shen , Yujiu Yang , Yeyun Gong

Offline multi-agent reinforcement learning (MARL) aims to solve cooperative decision-making problems in multi-agent systems using pre-collected datasets. Existing offline MARL methods primarily constrain training within the dataset…

Artificial Intelligence · Computer Science 2026-03-01 Sijia Li , Xinran Li , Shibo Chen , Jun Zhang

Multi-Objective Markov Decision Processes (MO-MDPs) are receiving increasing attention, as real-world decision-making problems often involve conflicting objectives that cannot be addressed by a single-objective MDP. The Pareto front…

Machine Learning · Computer Science 2025-02-11 Yining Li , Peizhong Ju , Ness B. Shroff

Deep reinforcement learning has recently emerged as a promising feedback control strategy for complex dynamical systems governed by partial differential equations (PDEs). When dealing with distributed, high-dimensional problems in state and…

Machine Learning · Computer Science 2025-09-23 Nicolò Botteghi , Matteo Tomasetto , Urban Fasel , Francesco Braghin , Andrea Manzoni

This paper studies the policy mirror descent (PMD) method, which is a general policy optimization framework in reinforcement learning and can cover a wide range of policy gradient methods by specifying difference mirror maps. Existing…

Optimization and Control · Mathematics 2026-01-01 Wenye Li , Hongxu Chen , Jiacai Liu , Ke Wei

Multi-objective optimization models that encode ordered sequential constraints provide a solution to model various challenging problems including encoding preferences, modeling a curriculum, and enforcing measures of safety. A recently…

Artificial Intelligence · Computer Science 2022-09-16 Kyle Hollins Wray , Stas Tiomkin , Mykel J. Kochenderfer , Pieter Abbeel

Reinforcement Learning (RL) has demonstrated its ability to solve complex decision-making problems in a variety of domains, by optimizing reward signals obtained through interaction with an environment. However, many real-world scenarios…

Machine Learning · Computer Science 2026-03-24 Dilina Rajapakse , Juan C. Rosero , Ivana Dusparic

Reinforcement Learning (RL) post-training has become the standard for aligning generative models with human preferences, yet most methods rely on a single scalar reward. When multiple criteria matter, the prevailing practice of ``early…

Machine Learning · Computer Science 2026-04-23 Shelly Golan , Michael Finkelson , Ariel Bereslavsky , Yotam Nitzan , Or Patashnik

We study the theoretical aspects of Reinforced Language Models (RLMs) from a bi-objective optimization perspective. Specifically, we consider the RLMs as a Pareto optimization problem that maximizes the two conflicting objectives, i.e.,…

Machine Learning · Computer Science 2023-11-27 Changhun Lee , Chiehyeon Lim

Hyperparameter optimization (HPO) is important to leverage the full potential of machine learning (ML). In practice, users are often interested in multi-objective (MO) problems, i.e., optimizing potentially conflicting objectives, like…

Machine Learning · Computer Science 2024-01-12 Joseph Giovanelli , Alexander Tornede , Tanja Tornede , Marius Lindauer

Deep reinforcement learning has led to several recent breakthroughs, though the learned policies are often based on black-box neural networks. This makes them difficult to interpret and to impose desired specification constraints during…

Machine Learning · Computer Science 2018-07-05 Surya Bhupatiraju , Kumar Krishna Agrawal , Rishabh Singh
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