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Proximal gradient algorithms (PGA), while foundational for inverse problems like image reconstruction, often yield unstable convergence and suboptimal solutions by violating the critical non-negativity constraint. We identify the gradient…

Machine Learning · Computer Science 2025-10-28 Hanzhang Wang , Zonglin Liu , Jingyi Xu , Chenyang Wang , Zhiwei Zhong , Qiangqiang Shen

In multi-task learning (MTL), gradient conflict poses a significant challenge. Effective methods for addressing this problem, including PCGrad, CAGrad, and GradNorm, in their original implementations are computationally demanding, which…

Machine Learning · Computer Science 2026-04-03 Evgeny Alves Limarenko , Anastasiia Studenikina , Svetlana Illarionova , Maxim Sharaev

Constrained multi-agent reinforcement learning offers the framework to design scalable and almost surely feasible solutions for teams of agents operating in dynamic environments to carry out conflicting tasks. We address the challenges of…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Leopoldo Agorio , Sean Van Alen , Santiago Paternain , Miguel Calvo-Fullana , Juan Andres Bazerque

This paper deals with distributed policy optimization in reinforcement learning, which involves a central controller and a group of learners. In particular, two typical settings encountered in several applications are considered:…

Machine Learning · Computer Science 2021-04-21 Tianyi Chen , Kaiqing Zhang , Georgios B. Giannakis , Tamer Başar

Constrained multi-objective optimization problems (CMOPs) are of great significance in the context of practical applications, ranging from scientific to engineering domains. Most existing constrained multi-objective evolutionary algorithms…

Neural and Evolutionary Computing · Computer Science 2026-03-18 Shuai Shao , Ye Tian , Shangshang Yang , Xingyi Zhang

Prompt engineering is crucial for fully leveraging large language models (LLMs), yet most existing optimization methods follow a single trajectory, resulting in limited adaptability, gradient conflicts, and high computational overhead. We…

Artificial Intelligence · Computer Science 2026-02-04 Yichen Han , Yuhang Han , Siteng Huang , Guanyu Liu , Zhengpeng Zhou , Bojun Liu , Yujia Zhang , Isaac N Shi , Lewei He , Tianyu Shi

Constrained optimization is popularly seen in reinforcement learning for addressing complex control tasks. From the perspective of dynamic system, iteratively solving a constrained optimization problem can be framed as the temporal…

Machine Learning · Computer Science 2025-01-28 Tianqi Zhang , Puzhen Yuan , Guojian Zhan , Ziyu Lin , Yao Lyu , Zhenzhi Qin , Jingliang Duan , Liping Zhang , Shengbo Eben Li

Retrieval-augmented generation (RAG) is widely utilized to incorporate external knowledge into large language models, thereby enhancing factuality and reducing hallucinations in question-answering (QA) tasks. A standard RAG pipeline…

Computation and Language · Computer Science 2025-10-08 Yiqun Chen , Lingyong Yan , Weiwei Sun , Xinyu Ma , Yi Zhang , Shuaiqiang Wang , Dawei Yin , Yiming Yang , Jiaxin Mao

We study a Federated Reinforcement Learning (FedRL) problem with constraint heterogeneity. In our setting, we aim to solve a reinforcement learning problem with multiple constraints while $N$ training agents are located in $N$ different…

Machine Learning · Computer Science 2024-05-07 Hao Jin , Liangyu Zhang , Zhihua Zhang

Since the 1990s, considerable empirical work has been carried out to train statistical models, such as neural networks (NNs), as learned heuristics for combinatorial optimization (CO) problems. When successful, such an approach eliminates…

Machine Learning · Statistics 2026-01-21 Orit Davidovich , Shimrit Shtern , Segev Wasserkrug , Nimrod Megiddo

In multiagent environments, the capability of learning is important for an agent to behave appropriately in face of unknown opponents and dynamic environment. From the system designer's perspective, it is desirable if the agents can learn…

Artificial Intelligence · Computer Science 2018-03-09 Chengwei Zhang , Xiaohong Li , Jianye Hao , Siqi Chen , Karl Tuyls , Wanli Xue

Multi-task reinforcement learning (RL) aims to find a single policy that effectively solves multiple tasks at the same time. This paper presents a constrained formulation for multi-task RL where the goal is to maximize the average…

Optimization and Control · Mathematics 2024-05-07 Sihan Zeng , Thinh T. Doan , Justin Romberg

When dealing with continuous single-objective problems, multimodality poses one of the biggest difficulties for global optimization. Local optima are often preventing algorithms from making progress and thus pose a severe threat. In this…

Neural and Evolutionary Computing · Computer Science 2020-06-26 Vera Steinhoff , Pascal Kerschke , Christian Grimme

Retrieval-Augmented Generation (RAG) systems implicitly assume mutual consistency among retrieved documents -- an assumption that frequently fails in practice. We present ConflictRAG, a conflict-aware RAG framework that detects, classifies,…

Computation and Language · Computer Science 2026-05-19 Chenyu Wang , Yingmin Liu , Yang Shu

This research concerns a type of configuration optimization problems frequently encountered in engineering design and manufacturing, where the envelope volume in space occupied by a number of components needs to be minimized along with…

Computational Engineering, Finance, and Science · Computer Science 2017-06-13 Pei Cao , Zhaoyan Fan , Robert X. Gao , Jiong Tang

Enterprise AI systems increasingly deploy multiple intelligent agents across mission-critical workflows that must satisfy hard policy constraints, bounded risk exposure, and comprehensive auditability (SOX, HIPAA, GDPR). Existing…

Artificial Intelligence · Computer Science 2026-04-21 Vinil Pasupuleti , Shyalendar Reddy Allala , Siva Rama Krishna Varma Bayyavarapu , Shrey Tyagi

Recent technological progress in the development of Unmanned Aerial Vehicles (UAVs) together with decreasing acquisition costs make the application of drone fleets attractive for a wide variety of tasks. In agriculture, disaster management,…

Robotics · Computer Science 2024-10-30 Yoav Alon , Huiyu Zhou

Continual learning aims to avoid catastrophic forgetting and effectively leverage learned experiences to master new knowledge. Existing gradient projection approaches impose hard constraints on the optimization space for new tasks to…

Machine Learning · Computer Science 2023-01-31 Zeyuan Yang , Zonghan Yang , Peng Li , Yang Liu

Current visual text generation models struggle with the trade-off between text accuracy and overall image coherence. We find that achieving high text accuracy can reduce aesthetic quality and instruction-following capability. Although…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Yaohou Fan , Qingzhong Wang , Yongsong Huang , Junyi Liu , Tomo Miyazaki , Shinichiro Omachi

Many optimization problems require balancing multiple conflicting objectives. As gradient descent is limited to single-objective optimization, we introduce its direct generalization: Jacobian descent (JD). This algorithm iteratively updates…

Machine Learning · Computer Science 2025-02-04 Pierre Quinton , Valérian Rey
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