LLM Layers as Interaction Terms: Scaling Dimensions Adds Variables

cephaloform · x · 2026-08-11

In a reply, the author argues that each layer of an LLM represents interaction terms between variables, so higher dimensionality means more variables, and scaling won't fail for mysterious reasons. The only big issue is preserving simpler terms to the final layer, solvable by concatenating all residuals into a very high-dimensional tensor before the lm-head.

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