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Multi-objective reinforcement learning (MORL) is increasingly relevant due to its resemblance to real-world scenarios requiring trade-offs between multiple objectives. Catering to diverse user preferences, traditional reinforcement learning…

Machine Learning · Computer Science 2024-04-08 Junlin Lu , Patrick Mannion , Karl Mason

Multi-Objective Optimization (MOO) techniques have become increasingly popular in recent years due to their potential for solving real-world problems in various fields, such as logistics, finance, environmental management, and engineering.…

Neural and Evolutionary Computing · Computer Science 2024-07-15 Noor A. Rashed , Yossra H. Ali , Tarik A. Rashid , A. Salih

As machine learning (ML) applications grow increasingly complex in recent years, modern ML frameworks often need to address multiple potentially conflicting objectives with coupled decision variables across different layers. This creates a…

Machine Learning · Computer Science 2025-11-12 Zhiyao Zhang , Zhuqing Liu , Xin Zhang , Wen-Yen Chen , Jiyan Yang , Jia Liu

Multi-objective reinforcement learning (MORL) is used to solve problems involving multiple objectives. An MORL agent must make decisions based on the diverse signals provided by distinct reward functions. Training an MORL agent yields a set…

Artificial Intelligence · Computer Science 2024-11-08 Zuzanna Osika , Jazmin Zatarain-Salazar , Frans A. Oliehoek , Pradeep K. Murukannaiah

In recent years, multi-objective optimization (MOO) emerges as a foundational problem underpinning many multi-agent multi-task learning applications. However, existing algorithms in MOO literature remain limited to centralized learning…

Machine Learning · Computer Science 2024-01-09 Haibo Yang , Zhuqing Liu , Jia Liu , Chaosheng Dong , Michinari Momma

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

Multi-objective optimization (MOO) is a well-studied problem for several important recommendation problems. While multiple approaches have been proposed, in this work, we focus on using constrained optimization formulations (e.g., quadratic…

Applications · Statistics 2016-02-16 Kinjal Basu , Ankan Saha , Shaunak Chatterjee

Aligning large language models (LLMs) to desirable human values requires balancing multiple, potentially conflicting objectives such as helpfulness, truthfulness, and harmlessness, which presents a multi-objective optimisation challenge.…

Machine Learning · Computer Science 2026-04-23 Andor Vári-Kakas , Ji Won Park , Natasa Tagasovska

Multi-task learning (MTL) aims to build general-purpose vision systems by training a single network to perform multiple tasks jointly. While promising, its potential is often hindered by "unbalanced optimization", where task interference…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Yihang Guo , Tianyuan Yu , Liang Bai , Yanming Guo , Yirun Ruan , William Li , Weishi Zheng

Multi-task learning (MTL) aims at solving multiple related tasks simultaneously and has experienced rapid growth in recent years. However, MTL models often suffer from performance degeneration with negative transfer due to learning several…

Machine Learning · Computer Science 2023-02-01 Xin Dong , Ruize Wu , Chao Xiong , Hai Li , Lei Cheng , Yong He , Shiyou Qian , Jian Cao , Linjian Mo

Meta learning with multiple objectives can be formulated as a Multi-Objective Bi-Level optimization Problem (MOBLP) where the upper-level subproblem is to solve several possible conflicting targets for the meta learner. However, existing…

Machine Learning · Computer Science 2021-02-16 Feiyang Ye , Baijiong Lin , Zhixiong Yue , Pengxin Guo , Qiao Xiao , Yu Zhang

Many modern deep learning applications require balancing multiple objectives that are often conflicting. Examples include multi-task learning, fairness-aware learning, and the alignment of Large Language Models (LLMs). This leads to…

Machine Learning · Computer Science 2025-08-07 Weiyu Chen , Baijiong Lin , Xiaoyuan Zhang , Xi Lin , Han Zhao , Qingfu Zhang , James T. Kwok

Recent decades have witnessed great advancements in multiobjective evolutionary algorithms (MOEAs) for multiobjective optimization problems (MOPs). However, these progressively improved MOEAs have not necessarily been equipped with scalable…

Neural and Evolutionary Computing · Computer Science 2023-02-28 Songbai Liu , Qiuzhen Lin , Jianqiang Li , Kay Chen Tan

In Multi-Task Learning (MTL), it is a common practice to train multi-task networks by optimizing an objective function, which is a weighted average of the task-specific objective functions. Although the computational advantages of this…

Machine Learning · Computer Science 2022-07-19 Lucas Pascal , Pietro Michiardi , Xavier Bost , Benoit Huet , Maria A. Zuluaga

Existing studies on dynamic multi-objective optimization focus on problems with time-dependent objective functions, while the ones with a changing number of objectives have rarely been considered in the literature. Instead of changing the…

Neural and Evolutionary Computing · Computer Science 2017-02-20 Renzhi Chen , Ke Li , Xin Yao

Multi-objective reinforcement learning (MORL) algorithms extend conventional reinforcement learning (RL) to the more general case of problems with multiple, conflicting objectives, represented by vector-valued rewards. Widely-used scalar RL…

Machine Learning · Computer Science 2026-04-23 Peter Vamplew , Ethan , Watkins , Cameron Foale , Richard Dazeley

Multi-Objective Reinforcement Learning (MORL) presents significant challenges and opportunities for optimizing multiple objectives in Large Language Models (LLMs). We introduce a MORL taxonomy and examine the advantages and limitations of…

Computation and Language · Computer Science 2025-09-29 Lingxiao Kong , Cong Yang , Oya Deniz Beyan , Zeyd Boukhers

Multi-objective optimization (MOO) problems require balancing competing objectives, often under constraints. The Pareto optimal solution set defines all possible optimal trade-offs over such objectives. In this work, we present a novel…

Machine Learning · Computer Science 2022-04-19 Soumyajit Gupta , Gurpreet Singh , Raghu Bollapragada , Matthew Lease

Optimizing the performance of many objectives (instantiated by tasks or clients) jointly with a few Pareto stationary solutions (models) is critical in machine learning. However, previous multi-objective optimization methods often focus on…

Machine Learning · Computer Science 2024-03-08 Ziyue Li , Tian Li , Virginia Smith , Jeff Bilmes , Tianyi Zhou

To date, the multi-objective optimization literature has mainly focused on conflicting objectives, studying the Pareto front, or requiring users to balance tradeoffs. Yet, in machine learning practice, there are many scenarios where such…

Machine Learning · Computer Science 2025-03-05 Yonathan Efroni , Ben Kretzu , Daniel Jiang , Jalaj Bhandari , Zheqing , Zhu , Karen Ullrich