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One Correction, Every Case: When LLMs Actually Update the Rule

TL;DR for operators An AI system receives one signal that an operating rule has changed. The important test is not whether its average performance eventually recovers, but whether it immediately applies the revised rule to cases it has not yet revisited. Many models fail this test quietly. They correct each stimulus only after encountering it again, producing gradual recovery without inferring that one hidden rule changed for every stimulus at once. For teams deploying agents, that distinction matters whenever a policy change, workflow update, or exception rule must propagate across related cases. ...

July 31, 2026 · 10 min · Zelina
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Roots of Understanding: When Transformers Try to Learn the Language of Numbers

Numbers look simple until you ask a model to continue them. That is the quiet trap in Testing Transformer Learnability on the Arithmetic Sequence of Rooted Trees.1 The paper does not ask whether a transformer can chat about prime numbers, recite factorization facts, or hallucinate Euclid with confidence. It asks a cleaner question: if we translate the natural numbers into a symbolic language whose grammar is generated by prime factorization, can a GPT-2-style transformer learn that grammar from sequence data alone? ...

December 2, 2025 · 15 min · Zelina