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- W4289292077 abstract "We revisit the Frank-Wolfe (FW) optimization under strongly convex constraint sets. We provide a faster convergence rate for FW without line search, showing that a previously overlooked variant of FW is indeed faster than the standard variant. With line search, we show that FW can converge to the global optimum, even for smooth functions that are not convex, but are quasi-convex and locally-Lipschitz. We also show that, for the general case of (smooth) non-convex functions, FW with line search converges with high probability to a stationary point at a rate of $Oleft(frac{1}{t}right)$, as long as the constraint set is strongly convex -- one of the fastest convergence rates in non-convex optimization." @default.
- W4289292077 created "2022-08-02" @default.
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- W4289292077 date "2018-11-14" @default.
- W4289292077 modified "2023-09-27" @default.
- W4289292077 title "Revisiting Projection-Free Optimization for Strongly Convex Constraint Sets" @default.
- W4289292077 doi "https://doi.org/10.48550/arxiv.1811.05831" @default.
- W4289292077 hasPublicationYear "2018" @default.
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