At t→∞ , ifVt = O(1) (respectively,Vt = o(1)), then alsoLt =O(1) (respectively,Lt =o(1))

[Convergence] Suppose thatUΣ < 1

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math.OC · 2025-04-16 · conditional · novelty 7.0

Corner Gradient Descent achieves O(t^{-θζ}) loss rates for SGD on power-law spectral problems, with optimal θ = min(2, ν, 2/(ζ+1/ν)).

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Corner Gradient Descent math.OC · 2025-04-16 · conditional · none · ref 1
Corner Gradient Descent achieves O(t^{-θζ}) loss rates for SGD on power-law spectral problems, with optimal θ = min(2, ν, 2/(ζ+1/ν)).