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Author

Zhi-Yong Wang

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Jul 2026

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates

A diagnostic optimizer, Shape--Boundary Orthogonal AdamW (SBO-AdamW), is implemented that optimizes g_W-g_b\mu^\top and g_b with independent Adam states and compensates the weight-induced boundary displacement and a stable centered-affine parameterization is identified as the required next step.

Gongyue Zhang, Yi-Xuan Sheng, Donghan Liu et al. · 0 citations

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