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Related papers: MAPGD: Multi-Agent Prompt Gradient Descent for Col…

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We consider a setting involving $N$ agents, where each agent interacts with an environment modeled as a Markov Decision Process (MDP). The agents' MDPs differ in their reward functions, capturing heterogeneous objectives/tasks. The…

Machine Learning · Computer Science 2024-09-10 Feng Zhu , Robert W. Heath , Aritra Mitra

Prompt engineering is a challenging and important task due to the high sensitivity of Large Language Models (LLMs) to the given prompt and the inherent ambiguity of a textual task instruction. Automatic prompt engineering is essential to…

Computation and Language · Computer Science 2024-02-06 Elad Levi , Eli Brosh , Matan Friedmann

Language-based agentic systems have shown great promise in recent years, transitioning from solving small-scale research problems to being deployed in challenging real-world tasks. However, optimizing these systems often requires…

Artificial Intelligence · Computer Science 2024-12-06 Wenyi Wang , Hisham A. Alyahya , Dylan R. Ashley , Oleg Serikov , Dmitrii Khizbullin , Francesco Faccio , Jürgen Schmidhuber

Contextually Entangled Gradient Mapping (CEGM) introduces a new approach to gradient optimization, redefining the relationship between contextual embeddings and gradient updates to enhance semantic coherence and reasoning capabilities in…

Machine Learning · Computer Science 2025-08-11 Colin Sisate , Alistair Goldfinch , Vincent Waterstone , Sebastian Kingsley , Mariana Blackthorn

Full fine-tuning of Large Language Models (LLMs) is notoriously memory-intensive, primarily because conventional optimizers such as SGD or Adam assume access to exact gradients derived from cached activations. Existing solutions either…

Machine Learning · Computer Science 2025-10-28 Jing Yang , Kaitong Cai , Yijia Fan , Yufeng Yang , Keze Wang

Cooperative multi-agent problems often require coordination between agents, which can be achieved through a centralized policy that considers the global state. Multi-agent policy gradient (MAPG) methods are commonly used to learn such…

Robotics · Computer Science 2023-08-03 Xubo Lyu , Amin Banitalebi-Dehkordi , Mo Chen , Yong Zhang

We develop subgradient- and gradient-based methods for minimizing strongly convex functions under a notion which generalizes the standard Euclidean strong convexity. We propose a unifying framework for subgradient methods which yields two…

Optimization and Control · Mathematics 2016-08-19 Masaru Ito

As AI agents evolve, the community is rapidly shifting from single Large Language Models (LLMs) to Multi-Agent Systems (MAS) to overcome cognitive bottlenecks in automated research. However, the optimal multi-agent coordination framework…

Multiagent Systems · Computer Science 2026-05-12 Yang Shen , Zhenyi Yi , Ziyi Zhao , Lijun Sun , Dongyang Li , Chin-Teng Lin , Yuhui Shi

The rapid advancement of large language models (LLMs) has enabled the development of multi-agent systems where multiple LLM-based agents collaborate on complex tasks. However, existing systems often rely on centralized coordination, leading…

Multiagent Systems · Computer Science 2025-06-02 Yingxuan Yang , Huacan Chai , Shuai Shao , Yuanyi Song , Siyuan Qi , Renting Rui , Weinan Zhang

This paper studies distributed nonconvex optimization problems with stochastic gradients for a multi-agent system, in which each agent aims to minimize the sum of all agents' cost functions by using local compressed information exchange. We…

Optimization and Control · Mathematics 2024-03-05 Antai Xie , Xinlei Yi , Xiaofan Wang , Ming Cao , Xiaoqiang Ren

Large language model (LLM)-based agents are increasingly used to perform complex, multi-step workflows in regulated settings such as compliance and due diligence. However, many agentic architectures rely primarily on prompt engineering of a…

Artificial Intelligence · Computer Science 2026-02-03 Ananya Joshi , Michael Rudow

Multi-agent debate (MAD) systems leverage collective intelligence to enhance reasoning capabilities, yet existing approaches struggle to simultaneously optimize accuracy, consensus formation, and computational efficiency. Static topology…

Artificial Intelligence · Computer Science 2026-03-02 Chao Wang , Han Lin , Huaze Tang , Huijing Lin , Wenbo Ding

We introduce a new Swarm-Based Gradient Descent (SBGD) method for non-convex optimization. The swarm consists of agents, each is identified with a position, ${\mathbf x}$, and mass, $m$. The key to their dynamics is communication: masses…

Numerical Analysis · Mathematics 2024-05-01 Jingcheng Lu , Eitan Tadmor , Anil Zenginoglu

The rapid development of large language model (LLM)-based agents has unlocked new possibilities for autonomous multi-turn reasoning and tool-augmented decision-making. However, their real-world deployment is hindered by severe…

Network consensus optimization has received increasing attention in recent years and has found important applications in many scientific and engineering fields. To solve network consensus optimization problems, one of the most well-known…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-10 Xin Zhang , Jia Liu , Zhengyuan Zhu , Elizabeth S. Bentley

Multi-agent pathfinding (MAPF) is a common abstraction of multi-robot trajectory planning problems, where multiple homogeneous robots simultaneously move in the shared environment. While solving MAPF optimally has been proven to be NP-hard,…

Artificial Intelligence · Computer Science 2025-07-01 Anton Andreychuk , Konstantin Yakovlev , Aleksandr Panov , Alexey Skrynnik

Large language models (LLMs) have proven effective in artificial intelligence, where the multi-agent system (MAS) holds considerable promise for healthcare development by achieving the collaboration of LLMs. However, the absence of a…

Artificial Intelligence · Computer Science 2026-05-13 Zhihao Peng , Liuxin Bao , Yixuan Yuan

Due to the high communication cost in distributed and federated learning problems, methods relying on compression of communicated messages are becoming increasingly popular. While in other contexts the best performing gradient-type methods…

Optimization and Control · Mathematics 2020-06-29 Zhize Li , Dmitry Kovalev , Xun Qian , Peter Richtárik

In this work, we study the problem of finding Pareto optimal policies in multi-agent reinforcement learning problems with cooperative reward structures. We show that any algorithm where each agent only optimizes their reward is subject to…

Machine Learning · Computer Science 2024-10-28 Bang Giang Le , Viet Cuong Ta

Multi-robot task planning requires decomposing natural-language instructions into executable actions for heterogeneous robot teams. Conventional Planning Domain Definition Language (PDDL) planners provide rigorous guarantees but struggle to…

Robotics · Computer Science 2026-02-27 Tomoya Kawabe , Rin Takano