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Best algorithms for approximating the maximum of a submodular set function

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  1. Zengfu Wang & Bill Moran & Xuezhi Wang & Quan Pan, 2015. "An accelerated continuous greedy algorithm for maximizing strong submodular functions," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 1107-1124, November.
  2. Zengfu Wang & Bill Moran & Xuezhi Wang & Quan Pan, 2016. "Approximation for maximizing monotone non-decreasing set functions with a greedy method," Journal of Combinatorial Optimization, Springer, vol. 31(1), pages 29-43, January.
  3. Shaojie Tang & Jing Yuan, 2021. "Cascade Submodular Maximization: Question Selection and Sequencing in Online Personality Quiz," Production and Operations Management, Production and Operations Management Society, vol. 30(7), pages 2143-2161, July.
  4. Bin Liu & Miaomiao Hu, 2022. "Fast algorithms for maximizing monotone nonsubmodular functions," Journal of Combinatorial Optimization, Springer, vol. 43(5), pages 1655-1670, July.
  5. Min Cui & Dachuan Xu & Longkun Guo & Dan Wu, 2022. "Approximation guarantees for parallelized maximization of monotone non-submodular function with a cardinality constraint," Journal of Combinatorial Optimization, Springer, vol. 43(5), pages 1671-1690, July.
  6. Ivan Contreras & Elena Fernández, 2014. "Hub Location as the Minimization of a Supermodular Set Function," Operations Research, INFORMS, vol. 62(3), pages 557-570, June.
  7. Manuel A. Nunez & Robert S. Garfinkel & Ram D. Gopal, 2007. "Stochastic Protection of Confidential Information in Databases: A Hybrid of Data Perturbation and Query Restriction," Operations Research, INFORMS, vol. 55(5), pages 890-908, October.
  8. Jon Lee & Maxim Sviridenko & Jan Vondrák, 2010. "Submodular Maximization over Multiple Matroids via Generalized Exchange Properties," Mathematics of Operations Research, INFORMS, vol. 35(4), pages 795-806, November.
  9. Chuangen Gao & Shuyang Gu & Jiguo Yu & Hai Du & Weili Wu, 2022. "Adaptive seeding for profit maximization in social networks," Journal of Global Optimization, Springer, vol. 82(2), pages 413-432, February.
  10. Suning Gong & Qingqin Nong & Jiazhu Fang & Ding-Zhu Du, 2024. "Algorithms for Cardinality-Constrained Monotone DR-Submodular Maximization with Low Adaptivity and Query Complexity," Journal of Optimization Theory and Applications, Springer, vol. 200(1), pages 194-214, January.
  11. Maxim Sviridenko & Jan Vondrák & Justin Ward, 2017. "Optimal Approximation for Submodular and Supermodular Optimization with Bounded Curvature," Mathematics of Operations Research, INFORMS, vol. 42(4), pages 1197-1218, November.
  12. Bin Liu & Zihan Chen & Huijuan Wang & Weili Wu, 2023. "An optimal streaming algorithm for non-submodular functions maximization on the integer lattice," Journal of Combinatorial Optimization, Springer, vol. 45(1), pages 1-17, January.
  13. Arash Asadpour & Hamid Nazerzadeh, 2016. "Maximizing Stochastic Monotone Submodular Functions," Management Science, INFORMS, vol. 62(8), pages 2374-2391, August.
  14. Zhenning Zhang & Donglei Du & Yanjun Jiang & Chenchen Wu, 2021. "Maximizing DR-submodular+supermodular functions on the integer lattice subject to a cardinality constraint," Journal of Global Optimization, Springer, vol. 80(3), pages 595-616, July.
  15. Awi Federgruen & Nan Yang, 2008. "Selecting a Portfolio of Suppliers Under Demand and Supply Risks," Operations Research, INFORMS, vol. 56(4), pages 916-936, August.
  16. Niv Buchbinder & Moran Feldman, 2019. "Constrained Submodular Maximization via a Nonsymmetric Technique," Mathematics of Operations Research, INFORMS, vol. 44(3), pages 988-1005, August.
  17. Alfonso Cevallos & Friedrich Eisenbrand & Rico Zenklusen, 2019. "An Improved Analysis of Local Search for Max-Sum Diversification," Management Science, INFORMS, vol. 44(4), pages 1494-1509, November.
  18. Awi Federgruen & Upmanu Lall & A. Serdar Şimşek, 2019. "Supply Chain Analysis of Contract Farming," Manufacturing & Service Operations Management, INFORMS, vol. 21(2), pages 361-378, April.
  19. Suning Gong & Qingqin Nong & Shuyu Bao & Qizhi Fang & Ding-Zhu Du, 2023. "A fast and deterministic algorithm for Knapsack-constrained monotone DR-submodular maximization over an integer lattice," Journal of Global Optimization, Springer, vol. 85(1), pages 15-38, January.
  20. Xin Sun & Gaidi Li & Yapu Zhang & Zhenning Zhang, 2022. "Private non-monotone submodular maximization," Journal of Combinatorial Optimization, Springer, vol. 44(5), pages 3212-3232, December.
  21. Antoine Désir & Vineet Goyal & Danny Segev & Chun Ye, 2020. "Constrained Assortment Optimization Under the Markov Chain–based Choice Model," Management Science, INFORMS, vol. 66(2), pages 698-721, February.
  22. Ariel Kulik & Hadas Shachnai & Tami Tamir, 2013. "Approximations for Monotone and Nonmonotone Submodular Maximization with Knapsack Constraints," Mathematics of Operations Research, INFORMS, vol. 38(4), pages 729-739, November.
  23. D. Santos-Peñate & R. Suárez-Vega & P. Dorta-González, 2007. "The Leader–Follower Location Model," Networks and Spatial Economics, Springer, vol. 7(1), pages 45-61, March.
  24. Saeed Alaei & Ali Makhdoumi & Azarakhsh Malekian, 2021. "Maximizing Sequence-Submodular Functions and Its Application to Online Advertising," Management Science, INFORMS, vol. 67(10), pages 6030-6054, October.
  25. Goldengorin, Boris, 2009. "Maximization of submodular functions: Theory and enumeration algorithms," European Journal of Operational Research, Elsevier, vol. 198(1), pages 102-112, October.
  26. Marek Adamczyk & Maxim Sviridenko & Justin Ward, 2016. "Submodular Stochastic Probing on Matroids," Mathematics of Operations Research, INFORMS, vol. 41(3), pages 1022-1038, August.
  27. Kung, Ling-Chieh & Liao, Wei-Hung, 2018. "An approximation algorithm for a competitive facility location problem with network effects," European Journal of Operational Research, Elsevier, vol. 267(1), pages 176-186.
  28. Cheng Lu & Wenguo Yang & Ruiqi Yang & Suixiang Gao, 2022. "Maximizing a non-decreasing non-submodular function subject to various types of constraints," Journal of Global Optimization, Springer, vol. 83(4), pages 727-751, August.
  29. Niv Buchbinder & Moran Feldman & Roy Schwartz, 2017. "Comparing Apples and Oranges: Query Trade-off in Submodular Maximization," Mathematics of Operations Research, INFORMS, vol. 42(2), pages 308-329, May.
  30. Simon Bruggmann & Rico Zenklusen, 2019. "Submodular Maximization Through the Lens of Linear Programming," Management Science, INFORMS, vol. 44(4), pages 1221-1244, November.
  31. Sundarraj, R. P., 2002. "An optimization approach to plan for reusable software components," European Journal of Operational Research, Elsevier, vol. 142(1), pages 128-137, October.
  32. R. Garbe & K. D. Glazebrook, 1998. "Submodular Returns and Greedy Heuristics for Queueing Scheduling Problems," Operations Research, INFORMS, vol. 46(3), pages 336-346, June.
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