Beyond Parallel Blindness: Information Floors and Model Gaps in Block Drafting

arXiv:2608.27339 · cs.LG, cs.CL, cs.IT, math.IT · Submitted 2026-08-27 · Read on arXiv

cs.LG, cs.CL, cs.IT, math.IT

Submitted: 2026-08-27

Updated: 2026-09-27

Code: https://github.com/tatsu-lab/stanford_alpaca

License: http://creativecommons.org/licenses/by/4.0/

The gist: Block drafters propose several tokens in one forward pass, before earlier target tokens are realised.

Terminology

Abstract

Block drafters propose several tokens in one forward pass, before earlier target tokens are realised. Their rejection mixes two losses: missing within-block path information and imperfect modelling of observable information. Accepted length cannot distinguish them. We separate the two with an information floor, the minimum expected rejection at a specified conditioning order; rejection above this floor is the model gap. Estimating both from target rollouts across four domains, four open-weight targets, and a frontier API target yields three findings. First, the all-parallel floor reaches 0.286 at the final slot on Qwen3-4B, limiting even the best proposal to 71% per-slot acceptance. Second, one realised token removes 86 -- 100% of this floor, a locality also recovered by an independent mutual-information analysis. Third, current drafters remain far above their floors: the final-slot model gap accounts for 43 -- 64% of DFlash rejection and 85 -- 92% of DSpark's oracle-conditioned rejection. These findings separate the value of short-range conditioning from proposal quality.

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