Statistical uncertainty from random-diagonal seeds

Report confidence intervals for perplexity degradation by evaluating TurboAngle across multiple random ±1 diagonal seeds D and ascertain the statistical significance of ΔPPL differences on the order of 0.001 to ensure robust conclusions.

Background

TurboAngle relies on a fixed random diagonal rotation shared across layers, heads, and tokens. The paper evaluates with a single seed and notes small ΔPPL differences that may be within statistical noise.

Computing confidence intervals over multiple seeds would clarify the stability of results and the reliability of very small reported differences, which is important for fair comparisons and ablation studies.