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Knowledge That Is Linear Before Fine-Tuning Generalizes After It

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The paper distinguishes between active facts, which help a language model generalize beyond mere recall, and inert facts, which do not. By relabeling answers to a known relation (e.g., Paris → Europe becomes Paris → crab) and fine‑tuning on a subset of subjects, the authors test whether the model can transfer the new label to unseen subjects sharing the same original answer. Across eleven models and 70 relations, the linear readability of the original relation in pretrained representations strongly predicts this generalization, with a Pearson correlation of 0.87–0.92, even after controlling for various factors.

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arXiv AI
Oct 16

Knowledge That Is Linear Before Fine-Tuning Generalizes After It

The study investigates how well language models can generalize from fine‑tuned facts by distinguishing active facts—those that support further learning—from inert facts. Using a novel relabeling experiment (e.g., mapping Paris → Europe to Paris → crab), the authors fine‑tune models on a subset of subjects and test whether the learned mapping extends to unseen subjects sharing the same original answer. Across eleven models and 70 relations, they find a strong correlation (Pearson r = 0.87–0.92) between the linear readability of the original relation in pretrained representations and the model’s ability to generalize, a relationship that persists after controlling for various factors and remains robust to label randomization and semantic category changes.

By Faridoun Mehri, Hinrich Sch\"utze