LWGR: Lagrangian-Constrained Personalized World Knowledge for Generative Recommendation
Lingyu Mu, Hao Deng, Haibo Xing, Kaican Lin, Zhitong Zhu, Yu Zhang, Xiaoyi Zeng, Zhengxiao Liu, Zheng Lin, Jinxin Hu

TL;DR
LWGR introduces a Lagrangian-constrained framework that personalizes world knowledge transfer from LLMs to improve generative recommendation, addressing fixed instruction limitations and enhancing recommendation quality.
Contribution
The paper proposes LWGR, a novel method using Lagrangian constraints for personalized knowledge transfer in generative recommendation, with new optimization and deployment strategies.
Findings
LWGR outperforms eight baselines by up to 11.23% in accuracy.
It achieves a 1.35% revenue lift on an industrial platform.
Personalized knowledge fusion improves recommendation relevance.
Abstract
Recent progress in large language model (LLM) based generative recommendation (GR) shows that leveraging LLM world knowledge can substantially improve performance. However, existing methods rely on fixed, manually designed instructions to generate semantic knowledge and directly incorporate it into GR, which has two limitations. First, fixed instructions cannot capture the multidimensional heterogeneity of user interests. Second, uncontrollable knowledge fusion may conflict with behavioral signals and harm recommendations. To address these limitations, we propose LWGR, a framework that leverages Lagrangian constraints to transfer users' personalized world knowledge from LLMs into generative recommendation. LWGR enhances GR along two axes: knowledge extraction and fusion. It builds personalized soft instructions to extract behavior-relevant LLM world knowledge, and formulates knowledge…
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