Machine unlearning has been used to remove unwanted knowledge acquired by large language models (LLMs). In this paper, we examine machine unlearning from an optimization perspective, framing it as a regularized multi-task optimization problem, where one task optimizes a forgetting objective and another optimizes the model performance. In particular, we introduce a normalized gradient difference algorithm, enabling us to have better control over the trade-off between the objectives, while integrating a new, automatic learning rate scheduler. We provide a theoretical analysis and empirically demonstrate the superior performance of among state-of-the-art unlearning methods on the TOFU and MUSE datasets while exhibiting stable training.

We introduce SemEval-2025 Task 4: unlearn- ing sensitive content from Large Language Models (LLMs). The task features 3 subtasks for LLM unlearning spanning different use cases: (1) unlearn long form synthetic creative documents spanning different genres; (2) un- learn short form synthetic biographies contain- ing personally identifiable information (PII), in- cluding fake names, phone number, SSN, email and home addresses, and (3) unlearn real docu- ments sampled from the target model’s training dataset. We received over 100 submissions from over 30 institutions and we summarize the key techniques and lessons in this paper.