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20232026
most citedWide Neural Networks as Gaussian Processes: Lessons from Deep Equilibrium Models

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math.AP2026

A Mean-Field Theory of Transformers: Well-Posedness of the Coupled Data--Parameter Dynamics and Global Convergence of Training

Michael Herty, Hailiang Liu

We develop a rigorous mean-field theory for transformer networks that captures two large-scale limits inherent in the architecture: the number of tokens in the input s…