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Dan Garber

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Preprint Aug 2026

Revisiting Decomposition-Invariant Conditional Gradient Methods for Polytopes

A method is introduced whose number of iterations to reach an $\epsilon$-approximate solution is of the order of n, and whose number of iterations to $\epsilon$-approximation scales with $\frac{\beta{}D^2n}{\alpha}\log(1/\epsilon)$, in a meaningful regime.

Dan Garber · 0 citations

Accelerated Frank-Wolfe Algorithms: Complementarity Conditions and Sparsity

We develop new accelerated first-order algorithms in the Frank-Wolfe (FW) family for minimizing smooth convex functions over compact convex sets, with a focus on two prominent constraint classes: (1) polytopes and (2) matrix domains given by the spectrahedron and nuclear-norm balls. A key technical ingredient is a comp...

Dan Garber · 2 citations

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