Collapse of Irrelevant Representations (CIR) Ensures Robust and Non-Disruptive LLM Unlearning

Abstract: Current unlearning techniques and safety training consistently fail to remove dangerous knowledge from LLMs. We analyze the root causes and propose a highly selective technique which unlearns robustly and without disrupting general performance. We perform PCA on activations and module output gradients to identify subspaces containing common representations, and collapse them before calculating unlearning updates. This way we avoid unlearning general representations, and only target those specific to the unlearned facts. When unlearning WMDP dataset facts from Llama-3.1-8B, we drop post-attack accuracy 80x more than our best baseline (Circuit Breakers) on biohazardous facts and 30x more on cyberhazardous facts. Despite this, we disrupt general performance 30x less (only 0.1% WikiText loss increase), while requiring less than 3 GPU-seconds per fact.