Less is More: Geometric Unlearning for LLMs with Minimal Data Disclosure
- URL: http://arxiv.org/abs/2605.01735v1
- Date: Sun, 03 May 2026 06:20:03 GMT
- Title: Less is More: Geometric Unlearning for LLMs with Minimal Data Disclosure
- Abstract summary: Geometric Unlearning (GU) operates directly on the model's prompt-time planning states without access to the original training corpus.<n> GU distills a compact, low-rank geometry of desired safe behavior from a small set of safe reference prompts.<n>A teacher-distillation regularizer on synthetic non-target anchors further reduces collateral drift.
- Score: 10.0091317316944
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: As large language models (LLMs) are increasingly deployed in real-world systems, they must support post-hoc removal of specific content to meet privacy and governance requirements. This motivates selective unlearning, which suppresses information about a particular entity or topic while preserving the LLM's general utility. However, most existing LLM unlearning methods require access to the original training corpus and rely on output-level refusal tuning or broad gradient updates, creating a tension among unlearning strength, non-target preservation, and data availability. We propose Geometric Unlearning (GU), an approach that operates directly on the model's prompt-time planning states without access to the original training corpus. GU distills a compact, low-rank geometry of desired safe behavior from a small set of safe reference prompts, and uses lightweight anchor-in-context synthetic prompts to trigger localized, projection-based alignment of hidden planning representations to this safe geometry. A teacher-distillation regularizer on synthetic non-target anchors further reduces collateral drift. Across privacy-oriented unlearning benchmarks (ToFU and UnlearnPII), GU achieves strong target suppression with minimal impact on non-target performance, demonstrating that effective unlearning can be achieved with minimal synthetic data.
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