Width and Depth Limits Commute during Training in Linear Residual Networks
Shows that linear residual networks converge to the same limit during training, regardless of how width and depth jointly grow to infinity.
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I'm a PhD student in Applied Mathematics and Statistics at Johns Hopkins University, where I'm fortunate to be advised by Prof. Soufiane Hayou.
My research is driven by a broad interest in the science of AI: understanding how intelligence emerges, evolves, and scales, from individual neural networks to interacting multi-agent systems.
Shows that linear residual networks converge to the same limit during training, regardless of how width and depth jointly grow to infinity.
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Joint work with researchers at Meta Superintelligence Labs and xAI
Explains why SVD-initialized LoRA variants can become unstable in RLVR and introduces orthonormal initializations that preserve pretrained geometry.
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Johns Hopkins University
The Chinese University of Hong Kong, Shenzhen
Technical University of Munich
last updated · 2026-10-09