Frank-Wolfe iterates for monotone variational inequalities converge asymptotically to the solution set under vanishing nonsummable step sizes, with the gap vanishing and unique convergence in the strongly monotone case.
In: 55th IEEE Annual Symposium on Foundations of Computer Science, FOCS 2014, Philadelphia, PA, USA, October 18–21, 2014, pp
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Convergence of the Frank-Wolfe Algorithm for Monotone Variational Inequalities
Frank-Wolfe iterates for monotone variational inequalities converge asymptotically to the solution set under vanishing nonsummable step sizes, with the gap vanishing and unique convergence in the strongly monotone case.