Why it matters

Scaling theory unifies empirics. Understanding shapes design intuition.

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The architecture

Data + model + noise interact.

Random feature model analysis.

Kernel regime + feature learning.

Neural scaling theoryData manifoldstructure + dimModel capacityparams + expressivenessNoise + optimtraining + genBordelon + Pehlevan + Sharma + Kaplan analyses converging on foundations
Scaling theory.
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How it works end to end

Random feature regime.

Data manifold dimension.

Noise floor from data.

Feature learning corrections.