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We consider the problem of maximizing a non-negative monotone submodular function subject to a knapsack constraint, which is also known as the Budgeted Submodular Maximization (BSM) problem.
An analysis of approximations for maximizing submodular set functions-i
G. L. Nemhauser, L. A. Wolsey, and M. L. Fisher · 1978
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Best algorithms for approximating the maximum of a submodular set function
George L. Nemhauser and Laurence A. Wolsey · 1978
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Maximising real-valued submodular functions: primal and dual heuristics for location problems
L. A. Wolsey · 1982
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The budgeted maximum coverage problem
S. Khuller, A. Moss, and J. Naor · 1999
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A note on maximizing a submodular set function subject to a knapsack constraint
M. Sviridenko · 2004
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“bring your own greedy”+max: Near-optimal 1/2-approximations for submodular knapsack
G. Yaroslavtsev, S. Zhou, and D. Avdiukhin · 2007
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The generalized maximum coverage problem
R. Cohen and L. Katzir · 2008
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Revisiting modified greedy algorithm for monotone submodular maximization with a knapsack constraint
J. Tang, X. Tang, A. Lim, K. Han, C. Li, and J. Yuan · 2008
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Submodular maximization over multiple matroids via generalized exchange properties
Jon Lee, Maxim Sviridenko, and Jan Vondrák · 2010
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Maximizing a monotone submodular function subject to a matroid constraint
Gruia Călinescu, Chandra Chekuri, Martin Pál, and Jan Vondrák · 2011
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Improved approximations for k-exchange systems - (extended abstract)
Moran Feldman, Joseph Naor, Roy Schwartz, and Justin Ward · 2011
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A (k+3)/2-approximation algorithm for monotone submodular k-set packing and general k-exchange systems
Justin Ward · 2012
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Approximations for monotone and nonmonotone submodular maximization with knapsack constraints
Ariel Kulik, Hadas Shachnai, and Tami Tamir · 2013
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Fast algorithms for maximizing submodular functions
Streaming weak submodularity: Interpreting neural networks on the fly
Ethan R. Elenberg, Alexandros G. Dimakis, Moran Feldman, and Amin Karbasi · 2017
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A submodular approach to create individualized parcellations of the human brain
Mehraveh Salehi, Amin Karbasi, Dustin Scheinost, and R. Todd Constable · 2017
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Scalable deletion-robust submodular maximization: Data summarization with privacy and fairness constraints
Ehsan Kazemi, Morteza Zadimoghaddam, and Amin Karbasi · 2018
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Choosing non-redundant representative subsets of protein sequence data sets using submodular optimization
Maxwell W. Libbrecht, Jeffrey A. Bilmes, and William Stafford Noble · 2018
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Data summarization at scale: A two-stage submodular approach
Marko Mitrovic, Ehsan Kazemi andMorteza Zadimoghaddam, and Amin Karbasi · 2018
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A. Badanidiyuru and J. Vondrák · 2014
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Monotone submodular maximization over a matroid via non-oblivious local search
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Distributed submodular maximization
Baharan Mirzasoleiman, Amin Karbasi, Rik Sarkar, and Andreas Krause · 2016
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A nearly-linear time algorithm for submodular maximization with a knapsack constraint
A. Ene and H. L. Nguyen · 2019
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Discrete adversarial attacks and submodular optimization with applications to text classification
Qi Lei, Lingfei Wu, Pin-Yu Chen, Alex Dimakis, Inderjit S. Dhillon, and Michael J. Witbrock · 2019
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Regression under human assistance
Abir De, Paramita Koley, Niloy Ganguly, and Manuel Gomez-Rodriguez · 2020
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