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ERRORQUAKE: Heavy-Tailed Error Severity Distributions in Open-Weight Large Language Models

At matched accuracy, open-weight LLMs differ substantially in the shape of their error severity distribution — a difference invisible to the scalar error rate. The Errorquake-10k benchmark scores each response on a continuous 0-4 severity scale across 8 domains and 5 difficulty tiers, revealing that severity profiles provide information beyond error rate.

SourcearXiv Machine LearningAuthor: Jason Z Wang

[2606.05170] ERRORQUAKE: Heavy-Tailed Error Severity Distributions in Open-Weight Large Language Models

[Submitted on 15 Apr 2026]

Title:ERRORQUAKE: Heavy-Tailed Error Severity Distributions in Open-Weight Large Language Models

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Abstract:At matched accuracy, open-weight LLMs differ substantially in the shape of their error severity distribution -- a difference invisible to the scalar error rate. Hallucination benchmarks report a single error count and treat all errors as equivalent, yet a wrong date and a fabricated court ruling differ by orders of magnitude. We introduce Errorquake-10k, a 10,000-query benchmark scoring each response on a continuous 0-4 severity scale across 8 domains and 5 difficulty tiers, and we fit per-model severity distributions for 21 open-weight models. For each model we estimate a severity distribution index (b, the Gutenberg-Richter upper-tail slope) with 95% bootstrap confidence intervals. Headline: across the 210 model pairs, 85 have disjoint 95% b confidence intervals at matched accuracy (|Delta epsilon|

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