Thinking Forward and Backward: Multi-Objective Reinforcement Learning for Retrieval-Augmented Reasoning

Fuente: arXiv
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Auteurs principaux: Wei, Wenda, Liu, Yu-An, Zhang, Ruqing, Guo, Jiafeng, Su, Lixin, Wang, Shuaiqiang, Yin, Dawei, de Rijke, Maarten, Cheng, Xueqi
Format: Preprint
Publié: 2025
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author Wei, Wenda
Liu, Yu-An
Zhang, Ruqing
Guo, Jiafeng
Su, Lixin
Wang, Shuaiqiang
Yin, Dawei
de Rijke, Maarten
Cheng, Xueqi
author_facet Wei, Wenda
Liu, Yu-An
Zhang, Ruqing
Guo, Jiafeng
Su, Lixin
Wang, Shuaiqiang
Yin, Dawei
de Rijke, Maarten
Cheng, Xueqi
contents Retrieval-augmented generation (RAG) has proven to be effective in mitigating hallucinations in large language models, yet its effectiveness remains limited in complex, multi-step reasoning scenarios. Recent efforts have incorporated search-based interactions into RAG, enabling iterative reasoning with real-time retrieval. Most approaches rely on outcome-based supervision, offering no explicit guidance for intermediate steps. This often leads to reward hacking and degraded response quality. We propose Bi-RAR, a novel retrieval-augmented reasoning framework that evaluates each intermediate step jointly in both forward and backward directions. To assess the information completeness of each step, we introduce a bidirectional information distance grounded in Kolmogorov complexity, approximated via language model generation probabilities. This quantification measures both how far the current reasoning is from the answer and how well it addresses the question. To optimize reasoning under these bidirectional signals, we adopt a multi-objective reinforcement learning framework with a cascading reward structure that emphasizes early trajectory alignment. Empirical results on seven question answering benchmarks demonstrate that Bi-RAR surpasses previous methods and enables efficient interaction and reasoning with the search engine during training and inference.
format Preprint
id arxiv_https___arxiv_org_abs_2511_09109
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Thinking Forward and Backward: Multi-Objective Reinforcement Learning for Retrieval-Augmented Reasoning
Wei, Wenda
Liu, Yu-An
Zhang, Ruqing
Guo, Jiafeng
Su, Lixin
Wang, Shuaiqiang
Yin, Dawei
de Rijke, Maarten
Cheng, Xueqi
Computation and Language
Artificial Intelligence
Information Retrieval
Retrieval-augmented generation (RAG) has proven to be effective in mitigating hallucinations in large language models, yet its effectiveness remains limited in complex, multi-step reasoning scenarios. Recent efforts have incorporated search-based interactions into RAG, enabling iterative reasoning with real-time retrieval. Most approaches rely on outcome-based supervision, offering no explicit guidance for intermediate steps. This often leads to reward hacking and degraded response quality. We propose Bi-RAR, a novel retrieval-augmented reasoning framework that evaluates each intermediate step jointly in both forward and backward directions. To assess the information completeness of each step, we introduce a bidirectional information distance grounded in Kolmogorov complexity, approximated via language model generation probabilities. This quantification measures both how far the current reasoning is from the answer and how well it addresses the question. To optimize reasoning under these bidirectional signals, we adopt a multi-objective reinforcement learning framework with a cascading reward structure that emphasizes early trajectory alignment. Empirical results on seven question answering benchmarks demonstrate that Bi-RAR surpasses previous methods and enables efficient interaction and reasoning with the search engine during training and inference.
title Thinking Forward and Backward: Multi-Objective Reinforcement Learning for Retrieval-Augmented Reasoning
topic Computation and Language
Artificial Intelligence
Information Retrieval
url https://arxiv.org/abs/2511.09109