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EP254: Why Innovation Guarantees AI Hallucination

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Title: Innovation: An Almost Characterization of Hallucination Source: http://arxiv.org/abs/2605.26808v1 Summary: This work establishes a foundational probabilistic framework that formalizes hallucination as "innovation," providing a mathematical characterization of why LLMs produce outputs outside their training data. By deriving new lower bounds on hallucination rates based on "missing mass," it offers a critical theoretical breakthrough for understanding and mitigating the core reliability limits of generative models.

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