cardinality constraint
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6faf3b8ed0df532c14d0fc009e451b6d-Paper-Conference.pdf
We extend our results to the general case of maximizing a monotone submodular function subject to the intersection of a p-set system and multiple knapsack constraints. Finally, we evaluate the performance of our algorithms on multiple real-lifeapplications, includingmovierecommendation, locationsummarization, Twittertextsummarization,andvideosummarization.
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333222170ab9edca4785c39f55221fe7-Paper.pdf
We consider the problem of maximizing submodular functions in single-pass streaming and secretaries-with-shortlists models, both with random arrival order. For cardinality constrained monotone functions, Agrawal, Shadravan, and Stein [ASS19]gaveasingle-pass(1 1/e ε)-approximation algorithm using only linear memory,buttheir exponential dependence onεmakesitimpractical evenforε = 0.1.
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