Author

Gongyue Zhang

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#machine learning Preprint Jul 2026

When the Preconditioning Exponent Turns Negative: Learning-Rate Coupling and Cross-Environment Generalization

Checkpoint decomposition shows that lower p reduces the learned spurious-to-stable and noise-to-stable and noise-to-stable weight ratios; under reversed correlation, it also reduces the magnitude of the harmful spurious margin.

Gong-Yue Zhang, Hong-Hai Liu · 0 citations

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. · arXiv.org · 0 citations