LGJun 9, 2025

BLUR: A Bi-Level Optimization Approach for LLM Unlearning

arXiv:2506.08164v214 citationsh-index: 61Has Code
Originality Incremental advance
AI Analysis

This addresses the need for ethical and compliant AI by improving unlearning capabilities, though it is an incremental advancement in algorithm design.

The paper tackles the problem of enabling large language models to unlearn specific knowledge while preserving utility by proposing a bi-level optimization formulation that prioritizes forgetting over retaining, and demonstrates that their BLUR algorithm consistently outperforms state-of-the-art methods across various tasks, models, and metrics.

Enabling large language models (LLMs) to unlearn knowledge and capabilities acquired during training has proven vital for ensuring compliance with data regulations and promoting ethical practices in generative AI. Although there are growing interests in developing various unlearning algorithms, it remains unclear how to best formulate the unlearning problem. The most popular formulation uses a weighted sum of forget and retain loss, but it often leads to performance degradation due to the inherent trade-off between forget and retain losses. In this work, we argue that it is important to model the hierarchical structure of the unlearning problem, where the forget problem (which \textit{unlearns} certain knowledge and/or capabilities) takes priority over the retain problem (which preserves model utility). This hierarchical structure naturally leads to a bi-level optimization formulation where the lower-level objective focuses on minimizing the forget loss, while the upper-level objective aims to maintain the model's utility. Based on this new formulation, we propose a novel algorithm, termed Bi-Level UnleaRning (\texttt{BLUR}), which not only possesses strong theoretical guarantees but more importantly, delivers superior performance. In particular, our extensive experiments demonstrate that \texttt{BLUR} consistently outperforms all the state-of-the-art algorithms across various unlearning tasks, models, and metrics. Codes are available at https://github.com/OptimAI-Lab/BLURLLMUnlearning.

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