arXiv Machine Learning By Shikhar Srivastava, Christopher Kanan

LayerRoPE: Dynamic Depth-wise Magnitude & Angular Superposition

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LayerRoPE introduces a depth‑wise magnitude and angular superposition mechanism that replaces per‑layer normalization gains with a single shared vector and depth‑conditioned scalars, reducing parameters and computational cost. Across 16 pre‑trained large language models and a 100B+ token model ladder, LayerRoPE outperforms traditional Pre‑, Post‑, and Peri‑Norm schemes, achieving comparable or better performance with significantly less compute and improved convergence up to 512 layers. The method demonstrates that widening the residual stream, rather than shrinking it, enhances depth stability and learning‑rate sensitivity, and it transfers effectively to latent and vision transformer architectures.

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