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Composable Core-sets for Determinant Maximization: A Simple Near-Optimal Algorithm

ICML 2019 · Learning theory and algorithms › Submodular and game algorithms · approach: Streaming submodular algorithms · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Local Search instead of Greedy as the offline algorithmDeterminant maximization · GENESdeterminant improvement over Greedy: 13%Helped
Use Local Search instead of Greedy as the offline algorithmDeterminant maximization · MNISTdeterminant improvement over Greedy: 5%Helped
Use Local Search instead of Greedy for core-set constructionGD aggregation · GENESdeterminant improvement over GD/GD: 9.6%Helped
Use Local Search instead of Greedy for core-set constructionGD aggregation · MNIST10determinant improvement over GD/GD: 2.5%Helped
Use Local Search instead of Greedy for core-set constructionGD aggregation · MNIST50determinant improvement over GD/GD: 1.9%Helped
Use Local Search for both core-set construction and aggregation instead of GreedyComposable determinant maximization · GENESdeterminant improvement over GD/GD: 23%Helped
Use Local Search for both core-set construction and aggregation instead of GreedyComposable determinant maximization · MNIST10determinant improvement over GD/GD: 5.5%Helped
Use Local Search for both core-set construction and aggregation instead of GreedyComposable determinant maximization · MNIST50determinant improvement over GD/GD: 6.0%Helped
Use Local Search instead of LP-based core-set constructionGD aggregation · GENESdeterminant improvement over GD/LP: 7.3%Helped
Use Local Search instead of LP-based core-set constructionGD aggregation · MNIST10determinant improvement over GD/LP: 1.8%Helped
Use Local Search instead of LP-based core-set constructionGD aggregation · MNIST50determinant improvement over GD/LP: 1.4%Helped
Use Local Search instead of GreedyOffline determinant maximization · GENES and MNISTruntime: 6.5 times moreHurt

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