Alhosseini Almodarresieh, Seyed Alireza: The Ship of Theseus in Large Language Models: A Framework for Quantifying Model Identity and Alignment Continuity under Continual Fine-Tuning

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Continual fine-tuning changes an LLM’s weights directly, unlike ordinary software upgrades. Drawing on the “Ship of Theseus” paradox, we ask when a fine-tuned model ceases to be usefully “the same” model with respect to its original alignment properties. We define Model Identity Continuity and a candidate index, the Theseus Stability Metric (TSM), combining a normalized, per-layer…

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