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Erschienen in: Journal of Combinatorial Optimization 4/2022

02.11.2021

Bicriteria streaming algorithms to balance gain and cost with cardinality constraint

verfasst von: Yijing Wang, Dachuan Xu, Donglei Du, Yanjun Jiang

Erschienen in: Journal of Combinatorial Optimization | Ausgabe 4/2022

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Abstract

Team formation plays an essential role in the labor market. In this paper, we propose two bicriteria algorithms to construct a balance between gain and cost in a team formation problem under the streaming model, subject to a cardinality constraint. We formulate the problem as maximizing the difference of a non-negative normalized monotone submodular function and a non-negative linear function. As an extension, we also consider the case where the first function is \(\gamma \)-weakly submodular. Combining the greedy technique with the threshold method, we present bicriteria streaming algorithms and give detailed analysis for both of these models. Our analysis is competitive with that in Ene’s work.

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Literatur
Zurück zum Zitat Anagnostopoulos A, Becchetti L, Castillo C, Gionis A, Leonardi S (2012) Online team formation in social networks. In: Proceedings of the 21st international conference on world wide web, pp 839–848 Anagnostopoulos A, Becchetti L, Castillo C, Gionis A, Leonardi S (2012) Online team formation in social networks. In: Proceedings of the 21st international conference on world wide web, pp 839–848
Zurück zum Zitat Anagnostopoulos A, Castillo C, Fazzone A, Leonardi S, Terzi E (2018) Algorithms for hiring and outsourcing in the online labor market. In: Proceedings of the 24th ACM SIGKDD international conference on knowledge discovery and data mining, pp 1109–1118 Anagnostopoulos A, Castillo C, Fazzone A, Leonardi S, Terzi E (2018) Algorithms for hiring and outsourcing in the online labor market. In: Proceedings of the 24th ACM SIGKDD international conference on knowledge discovery and data mining, pp 1109–1118
Zurück zum Zitat Badanidiyuru A, Mirzasoleiman B, Karbasi A, Krause A (2014) Streaming submodular maximization: massive data summarization on the fly. In: Proceedings of the 20th ACM SIGKDD international conference on knowledge discovery and data mining, pp 671–680 Badanidiyuru A, Mirzasoleiman B, Karbasi A, Krause A (2014) Streaming submodular maximization: massive data summarization on the fly. In: Proceedings of the 20th ACM SIGKDD international conference on knowledge discovery and data mining, pp 671–680
Zurück zum Zitat Bertsimas D, Van Parys B (2020) Sparse high-dimensional regression: exact scalable algorithms and phase transitions. Ann Stat 48:300–323MathSciNetCrossRef Bertsimas D, Van Parys B (2020) Sparse high-dimensional regression: exact scalable algorithms and phase transitions. Ann Stat 48:300–323MathSciNetCrossRef
Zurück zum Zitat Bian AA, Buhmann JM, Krause A, Tschiatschek S (2017) Guarantees for greedy maximization of non-submodular functions with applications. In: Proceedings of the 34th international conference on machine learning, pp 498–507 Bian AA, Buhmann JM, Krause A, Tschiatschek S (2017) Guarantees for greedy maximization of non-submodular functions with applications. In: Proceedings of the 34th international conference on machine learning, pp 498–507
Zurück zum Zitat Du D, Li Y, Xiu N, Xu D (2014) Simultaneous approximation of multi-criteria submodular functions maximization. J Oper Res Soc China 2:271–290MathSciNetCrossRef Du D, Li Y, Xiu N, Xu D (2014) Simultaneous approximation of multi-criteria submodular functions maximization. J Oper Res Soc China 2:271–290MathSciNetCrossRef
Zurück zum Zitat Ene A (2020) A note on maximizing the difference between a monotone submodular function and a linear function. ArXiv preprint arXiv: 2002.07782 Ene A (2020) A note on maximizing the difference between a monotone submodular function and a linear function. ArXiv preprint arXiv:​ 2002.​07782
Zurück zum Zitat Feldman M (2019) Guess free maximization of submodular and linear sums. In: Proceedings of the 16th international conference workshop on algorithms and data structures, pp 380–394 Feldman M (2019) Guess free maximization of submodular and linear sums. In: Proceedings of the 16th international conference workshop on algorithms and data structures, pp 380–394
Zurück zum Zitat Friedrich T, Göbel A, Neumann F, Quinzan F, Rothenberger R (2019) Greedy maximization of functions with bounded curvature under partition matroid constraints. In: Proceedings of the 33rd AAAI conference on artificial intelligence, pp 2272–2279 Friedrich T, Göbel A, Neumann F, Quinzan F, Rothenberger R (2019) Greedy maximization of functions with bounded curvature under partition matroid constraints. In: Proceedings of the 33rd AAAI conference on artificial intelligence, pp 2272–2279
Zurück zum Zitat Gargano L, Hell P, Peters JG, Vaccaro U (2015) Influence diffusion in social networks under time window constraints. Theoret Comput Sci 584:53–66MathSciNetCrossRef Gargano L, Hell P, Peters JG, Vaccaro U (2015) Influence diffusion in social networks under time window constraints. Theoret Comput Sci 584:53–66MathSciNetCrossRef
Zurück zum Zitat Golshan B, Lappas T, Terzi E (2014) Profit-maximizing cluster hires. In: Proceedings of the 20th ACM SIGKDD international conference on knowledge discovery and data mining, pp 1196–1205 Golshan B, Lappas T, Terzi E (2014) Profit-maximizing cluster hires. In: Proceedings of the 20th ACM SIGKDD international conference on knowledge discovery and data mining, pp 1196–1205
Zurück zum Zitat Gong S, Nong Q, Liu W, Fang Q (2019) Parametric monotone function maximization with matroid constraints. J Global Optim 75:833–849MathSciNetCrossRef Gong S, Nong Q, Liu W, Fang Q (2019) Parametric monotone function maximization with matroid constraints. J Global Optim 75:833–849MathSciNetCrossRef
Zurück zum Zitat Harshaw C, Feldman M, Ward J, Karbasi A (2019) Submodular maximization beyond non-negativity: guarantees, fast algorithms, and applications. In: Proceedings of the 36th international conference on machine learning, pp 2634–2643 Harshaw C, Feldman M, Ward J, Karbasi A (2019) Submodular maximization beyond non-negativity: guarantees, fast algorithms, and applications. In: Proceedings of the 36th international conference on machine learning, pp 2634–2643
Zurück zum Zitat Hu H, Grubb A, Bagnell JA, Hebert M (2016) Efficient feature group sequencing for anytime linear prediction. In: Proceedings of the 32nd conference on uncertainty in artificial intelligence, pp 279–288 Hu H, Grubb A, Bagnell JA, Hebert M (2016) Efficient feature group sequencing for anytime linear prediction. In: Proceedings of the 32nd conference on uncertainty in artificial intelligence, pp 279–288
Zurück zum Zitat Kuhnle A, Smith JD, Crawford VG, Thai MT (2018) Fast maximization of non-submodular, monotonic functions on the integer lattice. In: Proceedings of the 35th international conference on machine learning, pp 2791–2800 Kuhnle A, Smith JD, Crawford VG, Thai MT (2018) Fast maximization of non-submodular, monotonic functions on the integer lattice. In: Proceedings of the 35th international conference on machine learning, pp 2791–2800
Zurück zum Zitat Lappas T, Liu K, Terzi E (2009) Finding a team of experts in social networks. In: Proceedings of the 15th ACM SIGKDD international conference on knowledge discovery and data mining, pp 467–476 Lappas T, Liu K, Terzi E (2009) Finding a team of experts in social networks. In: Proceedings of the 15th ACM SIGKDD international conference on knowledge discovery and data mining, pp 467–476
Zurück zum Zitat Liu S, Poon CK (2017) A simple greedy algorithm for the profit-aware social team formation problem. In: Proceedings of the 11th international conference on combinatorial optimization and applications, pp 379–393 Liu S, Poon CK (2017) A simple greedy algorithm for the profit-aware social team formation problem. In: Proceedings of the 11th international conference on combinatorial optimization and applications, pp 379–393
Zurück zum Zitat Papadimitriou CH, Yannakakis M (1991) Optimization, approximation, and complexity classes. J Comput Syst Sci 43:425–440MathSciNetCrossRef Papadimitriou CH, Yannakakis M (1991) Optimization, approximation, and complexity classes. J Comput Syst Sci 43:425–440MathSciNetCrossRef
Zurück zum Zitat Qian C (2019) Multi-objective evolutionary algorithms are still good: maximizing monotone approximately submodular minus modular functions. ArXiv preprint arXiv: 1910.05492 Qian C (2019) Multi-objective evolutionary algorithms are still good: maximizing monotone approximately submodular minus modular functions. ArXiv preprint arXiv:​ 1910.​05492
Zurück zum Zitat Sviridenko M, Vondrák J, Ward J (2017) Optimal approximation for submodular and supermodular optimization with bounded curvature. Math Oper Res 42:1197–1218MathSciNetCrossRef Sviridenko M, Vondrák J, Ward J (2017) Optimal approximation for submodular and supermodular optimization with bounded curvature. Math Oper Res 42:1197–1218MathSciNetCrossRef
Zurück zum Zitat Wang Y, Xu D, Wang Y, Zhang D (2020) Non-submodular maximization on massive data streams. J Global Optim 76:729–743MathSciNetCrossRef Wang Y, Xu D, Wang Y, Zhang D (2020) Non-submodular maximization on massive data streams. J Global Optim 76:729–743MathSciNetCrossRef
Zurück zum Zitat Wu M, Wicker M, Ruan W, Huang X, Kwiatkowska M (2020) A game-based approximate verification of deep neural networks with provable guarantees. Theoret Comput Sci 807:298–329MathSciNetCrossRef Wu M, Wicker M, Ruan W, Huang X, Kwiatkowska M (2020) A game-based approximate verification of deep neural networks with provable guarantees. Theoret Comput Sci 807:298–329MathSciNetCrossRef
Zurück zum Zitat Yu Q, Li H, Liao Y, Cui S (2018) Fast budgeted influence maximization over multi-action event logs. IEEE Access 6:14367–14378CrossRef Yu Q, Li H, Liao Y, Cui S (2018) Fast budgeted influence maximization over multi-action event logs. IEEE Access 6:14367–14378CrossRef
Metadaten
Titel
Bicriteria streaming algorithms to balance gain and cost with cardinality constraint
verfasst von
Yijing Wang
Dachuan Xu
Donglei Du
Yanjun Jiang
Publikationsdatum
02.11.2021
Verlag
Springer US
Erschienen in
Journal of Combinatorial Optimization / Ausgabe 4/2022
Print ISSN: 1382-6905
Elektronische ISSN: 1573-2886
DOI
https://doi.org/10.1007/s10878-021-00827-w

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