cs.LG 2604.13656

Ordinary Least Squares is a Special Case of Transformer

Proves that a single-layer linear Transformer is mathematically equivalent to Ordinary Least Squares (OLS) regression via spectral decomposition, enabling one-pass statistical inference.

Xiaojun Tan, Yuchen Zhao

2026-04-15 71
cs.LG 2604.12946

Parcae: Scaling Laws For Stable Looped Language Models

Parcae, a stable looped language model constrained by spectral norm limits, reduces perplexity by 6.3% and surpasses Transformer baselines at 1.3B parameters.

Hayden Prairie, Zachary Novack, Taylor Berg-Kirkpatrick et al.

2026-04-15 31 citations 39