FERA: Uncertainty-Aware Federated Reasoning for Large Language Models

Fuente: arXiv
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Autori principali: Wang, Ruhan, Huang, Chengkai, Wang, Zhiyong, Wu, Junda, Wang, Rui, Yu, Tong, McAuley, Julian, Yao, Lina, Zhou, Dongruo
Natura: Preprint
Pubblicazione: 2026
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author Wang, Ruhan
Huang, Chengkai
Wang, Zhiyong
Wu, Junda
Wang, Rui
Yu, Tong
McAuley, Julian
Yao, Lina
Zhou, Dongruo
author_facet Wang, Ruhan
Huang, Chengkai
Wang, Zhiyong
Wu, Junda
Wang, Rui
Yu, Tong
McAuley, Julian
Yao, Lina
Zhou, Dongruo
contents Large language models (LLMs) exhibit strong reasoning capabilities when guided by high-quality demonstrations, yet such data is often distributed across organizations that cannot centralize it due to regulatory, proprietary, or institutional constraints. We study federated reasoning, where a server improves multi-step reasoning by coordinating with heterogeneous clients holding private demonstrations, without centralized training or raw data sharing. The key challenge is that client reliability is query-dependent, while the server cannot inspect client data to determine which contributions are trustworthy. To address this, we propose Uncertainty-Aware Federated Reasoning (FERA), a training-free framework based on iterative server-client co-refinement. Across communication rounds, clients generate reasoning traces with lightweight uncertainty estimates, and the server synthesizes them into improved reasoning that is redistributed as context for the next round, progressively improving both server outputs and client-side reasoning. Within each round, Uncertainty-Aware Self-Critique Aggregation (UA-SCA) resolves conflicts among heterogeneous client traces through query-dependent trust weighting and structured cross-client verification. Rather than simply discarding low-quality traces, UA-SCA revises flawed reasoning steps to recover useful information. We provide theoretical guarantees showing that the proposed iterative protocol converges and that uncertainty-aware weighting accelerates convergence. Experiments on multiple reasoning benchmarks show that FERA consistently outperforms both federated training and training-free baselines, achieving progressively higher accuracy across rounds while maintaining communication and computational efficiency.
format Preprint
id arxiv_https___arxiv_org_abs_2605_10082
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle FERA: Uncertainty-Aware Federated Reasoning for Large Language Models
Wang, Ruhan
Huang, Chengkai
Wang, Zhiyong
Wu, Junda
Wang, Rui
Yu, Tong
McAuley, Julian
Yao, Lina
Zhou, Dongruo
Computation and Language
Machine Learning
Large language models (LLMs) exhibit strong reasoning capabilities when guided by high-quality demonstrations, yet such data is often distributed across organizations that cannot centralize it due to regulatory, proprietary, or institutional constraints. We study federated reasoning, where a server improves multi-step reasoning by coordinating with heterogeneous clients holding private demonstrations, without centralized training or raw data sharing. The key challenge is that client reliability is query-dependent, while the server cannot inspect client data to determine which contributions are trustworthy. To address this, we propose Uncertainty-Aware Federated Reasoning (FERA), a training-free framework based on iterative server-client co-refinement. Across communication rounds, clients generate reasoning traces with lightweight uncertainty estimates, and the server synthesizes them into improved reasoning that is redistributed as context for the next round, progressively improving both server outputs and client-side reasoning. Within each round, Uncertainty-Aware Self-Critique Aggregation (UA-SCA) resolves conflicts among heterogeneous client traces through query-dependent trust weighting and structured cross-client verification. Rather than simply discarding low-quality traces, UA-SCA revises flawed reasoning steps to recover useful information. We provide theoretical guarantees showing that the proposed iterative protocol converges and that uncertainty-aware weighting accelerates convergence. Experiments on multiple reasoning benchmarks show that FERA consistently outperforms both federated training and training-free baselines, achieving progressively higher accuracy across rounds while maintaining communication and computational efficiency.
title FERA: Uncertainty-Aware Federated Reasoning for Large Language Models
topic Computation and Language
Machine Learning
url https://arxiv.org/abs/2605.10082