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Do Less, Get More: Streaming Submodular Maximization with Subsampling

NeurIPS 2018 · Learning theory and algorithms › Submodular and game algorithms · approach: Streaming submodular algorithms · 42 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Subsample arriving elements before processing themStreaming submodular maximization under a p-matchoid constraint · p-matchoid, monotonequeries per element: O(km) -> O(km/p)Helped
Subsample arriving elements and use the randomized streaming algorithmStreaming submodular maximization under a p-matchoid constraint · p-matchoid, non-monotoneapproximation ratio: \frac{5p + 2 + 1/p}{{1-\varepsilon}} -> 4p + 2 - o(1)Helped
Subsample arriving elements before processing themStreaming submodular maximization under a p-matchoid constraint · p-matchoid, non-monotonequeries per element: O(\frac{k^2m}{\varepsilon^2} \log \frac{k}{\varepsilon}) -> O(km/p)Helped
Use Sample-Streaming instead of Local-SearchVideo summarization · YouTuberunning time speedup: 40 times fasterHelped
Use Sample-Streaming instead of Local-SearchVideo summarization · OVPrunning time speedup: 50 times fasterHelped
Subsample elements while retaining the streaming algorithm's output qualityVideo summarization · YouTube and OVPsummary qualityNo clear effect

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