Applying Large Language Models (LLMs) to domain-specific applications greatly benefits real-world problem-solving, underscored as the leading breakthrough in MIT Technology Review’s 10 Breakthrough Technologies of 2024. To further tackle more complex tasks, LLM-based multi-agent systems are proposed to employ multiple intelligent agents with specific roles and collaborate on target tasks. However, this practice has led to significant deployment challenges, including multi-agent organization, communication efficiency, distributed fine-tuning, and dynamic environments. This proposal is dedicated to addressing these multifaceted issues through a stable and fast hierarchical LLM-powered multi-agent system. Our approach encompasses a general framework with diverse communication patterns for fine-tuning and inference, designed to achieve both high performance and efficiency. The proposed tasks are as follows: 1) Designing an LLM-powered multi-agent architecture for solving complex tasks and understanding communications between agents: We propose a hierarchical approach to effectively organize role-based LLMs with diverse expertise. Intelligent agents will be clustered and ensembled to produce sub-task outputs, and the final results will be achieved through collaborations. 2) Designing efficient communication approaches for transmitting various patterns among agents: This work focuses on three types of communication patterns—bits, gradients, and logits—to fit different scenarios. Bit communication enables prompt sharing among agents, using an LLM-based compressor to encode texts and accelerate transmission. Gradient communication supports weight exchange during role-based LLM fine-tuning via stochastic lattice and vector quantizers. While logit communication uses logit ensembling techniques for effective model collaboration. These methods, applicable beyond our framework, improve efficiency in diverse multi-agent environments. 3) Applying and evaluating our proposed framework in complex tasks, like AI for math and world simulation. This practical assessment will demonstrate the real-world impact of the developed strategies and technologies. By combining expertise in information theory, networking, communication, distributed learning, and natural language processing, this project aims to achieve a comprehensive understanding of communications in the LLM-powered multi-agent framework. It encompasses algorithmic design, performance analysis, and proof-of-concept experiments, providing insights to further refine the framework. We anticipate that this project will not only advance our theoretical understanding of the communication efficiency issue in multi-agent systems but will also provide application solutions for small businesses and industries grappling with these challenges. The research outcomes are expected to inspire and benefit the broader research community, contributing to the ongoing evolution of related fields.