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Neither family is globally uniformly convex: the stadium contains a line segment, while the truncated disk contains a facet

the truncated disk Ctr(b) def =B 2(0,1)∩ {x 1 ≤b},0< b <1, together with any compactMcontained more specifically in the lower arc Γ− b def ={(x 1, x2)∈∂B 2(0,1) :x 2 <− p 1−b 2}

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Frank-Wolfe Beyond 1/t Convergence

math.OC · 2026-04-30 · unverdicted · novelty 8.0

Under a new Local Dual Sharpness condition on the feasible region, the Frank-Wolfe algorithm achieves o(1/t) convergence for any smooth convex function.

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  • Frank-Wolfe Beyond 1/t Convergence math.OC · 2026-04-30 · unverdicted · none · ref 4

    Under a new Local Dual Sharpness condition on the feasible region, the Frank-Wolfe algorithm achieves o(1/t) convergence for any smooth convex function.