Instruction Tuning Changes How Upstream State Conditions Late Readout: A Cross-Patching Diagnostic

TL;DR

This paper investigates how instruction tuning influences the interaction between earlier and later model layers, revealing that late layers depend on upstream states for behavior, with implications for interpretability and model control.

Contribution

Introduces first-divergence cross-patching to diagnose layer interactions, demonstrating how instruction tuning alters upstream and late stack cooperation in language models.

Findings

Late stack effects depend on own upstream state in instruction-tuned models.

Cross-patching reveals late layers' reliance on upstream states for behavior.

Sparse final-layer features mediate the influence of upstream patches.

Abstract

Recent interpretability work has identified model-internal handles on post-trained behavior, including refusal directions, assistant/persona axes, and sparse chat-tuning features. These results localize where behaviors can be read out or controlled, often in middle-to-late layers. We ask how earlier computation and the late stack cooperate to turn those differences into next-token margins. To test this, we introduce first-divergence cross-patching: at the first token where pretrained base (PT) and instruction-tuned (IT) checkpoints disagree, we cross each model's earlier-layer state with each model's late stack. The diagnostic separates training recipes: same-base instruction-following descendants show late effects that depend on their own earlier-layer state, while OpenMath2 math-domain SFT and controlled code/biomed CPT controls with verified domain learning do not; for OpenMath2, the late effect is already largely portable from base earlier-layer state. Across five dense families (4B-32B), the IT late stack adds +0.76 logits from PT upstream and +2.44 from IT upstream, giving a +1.68 interaction that is positive in every family. Thus the late stack has a real PT-upstream effect, but its larger effect in the IT checkpoint appears only when it reads its own post-trained upstream state. Sparse features in final MLP layers partially mediate the effect and are driven by upstream patches, supporting a handoff from earlier state to final-layer feature activation to IT-token margin. Forced-token scoring shows that the local token choice can change later exact-answer success. Operationally, paired-checkpoint studies that localize a difference to late layers should test whether it survives under the other checkpoint's upstream state before treating the late stack as self-contained.