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Continuous DR-submodular Maximization: Structure and Algorithms

NeurIPS 2017 · Learning theory and algorithms › Submodular and game algorithms · approach: Monotone submodular maximization · 10 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace the non-monotone Frank-Wolfe with the two-phase Frank-Wolfe (non-convex Frank-Wolfe subroutine in two down-closed sets, pick the better output)constrained non-monotone DR-submodular maximization · DR-submodular quadratic, softmax, matched summarization experimentsapproximation ratio / function valueHelped
Use the shrunken LMO (constraint v <= ubar - x(k)) in the non-monotone Frank-Wolfe variantnon-monotone Frank-Wolfe variant · DR-submodular quadratic syntheticapproximation ratioNo clear effect
Use projected gradient ascent with diminishing step sizes instead of the Frank-Wolfe methodsconstrained DR-submodular maximization baseline · DR-submodular quadratic, softmax, matched summarizationapproximation ratio / function valueHurt

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