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Researchers identify and fix crispness penalty failure mode in legible transformers

A new paper on arXiv reveals that a crispness penalty intended to make transformer operators more legible can collapse them into dead constants. The authors derive an identity showing the penalty is a variance minimizer, and propose a per-channel variance floor as a fix.

0 engagement·1 source·Thu, Jul 9, 2026, 09:15 PM
The paper 'Training, Reading, and Editing Legible Transformers' (arXiv, 2026-07-09) shows that transformers built from bounded, named operators (fuzzy set operations) can be made legible, but the crispness penalty used during training has a failure mode: it can collapse an operator into a constant output. The identity E[v(1-v)] = μ(1-μ) - Var explains why—the penalty minimizes variance without distinguishing a live detector from a constant. The fix is a per-channel variance floor that preserves legibility without deadening the operator.

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arXiv(tool)Training, Reading, and Editing Legible Transformers(paper)

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