Author

Abdallah Khemais

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Preprint Aug 2026

Cross-Layer Interaction under Weight-Space Ablation: A Closed-Form Attention Jacobian Bound and a Test on a Real Pretrained Model

The result is mixed: a shared carrier emerges across all five tested instances, collapse and dissociation hold on most but not all, and a nonzero interaction is measurable on three of five, at layer pairs outside the same-block case the companion theorem covers.

Abdallah Khemais · 1 citation

Preprint Aug 2026

A Theory of Conditional Collapse under Low-Rank Weight-Space Ablations: I. The Single-Block Theory and Synthetic Validation

An idealized model where a conditional computation is carried additively through a residual stream, F(x)=F_0(x)+\sum_i\alpha_i(x)v_i$, read out by a linear functional is studied, and three exact results are proved, including an exact first-order interaction formula with a provably second-order remainder.

Abdallah Khemais · 1 citation