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Implement generalized "linear minimization oracles" #42

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GeoffNN opened this issue May 7, 2020 · 0 comments
Open

Implement generalized "linear minimization oracles" #42

GeoffNN opened this issue May 7, 2020 · 0 comments

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@GeoffNN
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GeoffNN commented May 7, 2020

Lu and Freund, 2020 use a generalization of the LMO found in Frank-Wolfe optimization. It generalizes minimizing a sum of a linear function and an indicator function by minimizing a sum of a linear function and a bounded domain function (potentially strongly convex / smooth).

It seems from their paper that they obtain linear convergence in the case of a strongly convex regularizer thus defined. It may work also for other stochastic variants.

Also see Bach, 2012 and Yu et al. 2017

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