Deriving KV-cache placement from abstract representations: prefill and inference are linked

vtabbott_ · x · 2026-10-03

vtabbott shares a technical observation about abstract representations in Transformer inference: the placement of the KV-cache for the inference form can be derived rather than hand-designed, because there is an expressible relationship between prefill and inference. An accompanying diagram uses small symbols in the top-right corner to toggle between the two modes, showing how a single abstraction covers both forms. The takeaway: with the right abstraction, inference optimizations like KV-caching become derivable consequences instead of ad-hoc tricks.

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