Interpretability researchers ask why models rarely learn exact, readable algorithms

burny_tech · x · 2026-10-27

burnytech argues that interpretability work should surface more exact, human-readable mechanisms — like the trigonometric algorithm for grokking modular addition or line-breaking detectors in toy model papers — reacting to the paper "When Models Manipulate Manifolds: The Geometry of a Counting Task." That paper shows LLMs perceive visual text properties (line width, char counts) from raw number sequences: attention builds a count manifold, QK twists it to sense end-of-line, and a linear boundary predicts overflow. His question: where are the crisp algorithmic solutions?

Related event: Transformer Circuits Paper Examines Manifold Geometry of Counting(3 posts)→

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