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Tobias Harks

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Preprint Oct 2026

Last-Iterate Convergence of Frank--Wolfe for Nonlinear Variational Inequalities on Polytopes

We consider the Frank--Wolfe algorithm for solving variational inequalities over compact polytopes under a monotone $C^1$ operator $\Phi$. The linear minimization oracle returns vertices, and we assume a coercivity condition on the Jacobian of $\Phi$ at a solution. We prove last-iterate convergence to the unique soluti...

Tobias Harks · 0 citations
Preprint Aug 2026

Tolls for Dynamic Equilibrium Flows

A duality-based characterization of implementability of dynamic edge flows for the multi-source, multi-destination case and a non-trivial proof that this assumption is always fulfilled for finitely supported edge flows with costs representing weighted travel times are provided.

Lukas Graf, Tobias Harks, Julian Schwarz · 0 citations

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