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High-dimensional Limit of SGD for Diagonal Linear Networks

math.OC · 2026-05-16 · unverdicted · novelty 6.0

In the high-dimensional regime, SGD on diagonal linear networks is approximated by an SDE and a deterministic PDE that together give an explicit non-asymptotic description of convergence to zero risk.

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  • High-dimensional Limit of SGD for Diagonal Linear Networks math.OC · 2026-05-16 · unverdicted · none · ref 67

    In the high-dimensional regime, SGD on diagonal linear networks is approximated by an SDE and a deterministic PDE that together give an explicit non-asymptotic description of convergence to zero risk.