An Improved Analysis of Local Search for Max-Sum Diversification
Published Online:17 Sep 2019https://doi.org/10.1287/moor.2018.0982
References
- [1] (2013) Diversity maximization under matroid constraints. Proc. 19th ACM Internat. Conf. Knowledge Discovery Data Mining (ACM, New York), 32–40.Crossref, Google Scholar
- [2] (2011) Inapproximability of densest \kappa-subgraph from average case hardness. Working paper, Princeton University, Princeton, NJ.Google Scholar
- [3] (2011) Consideration set generation in commerce search. Proc. 20th Internat. Conf. World Wide Web (ACM, New York), 317–326.Crossref, Google Scholar
- [4] (2009) An improved analysis for a greedy remote-clique algorithm using factor-revealing LPs. Algorithmica 55(1):42–59.Crossref, Google Scholar
- [5] (2012) Max-sum diversification, monotone submodular functions and dynamic updates. Proc. 31st Sympos. Principles Database Systems (ACM, New York), 155–166.Crossref, Google Scholar
- [6] (1969) Comments on bases in dependence structures. Bull. Australian Math. Soc. 1(02):161–167.Crossref, Google Scholar
- [7] (2017) Mapreduce and streaming algorithms for diversity maximization in metric spaces of bounded doubling dimension. Proc. VLDB Endowment 10(5):469–480.Crossref, Google Scholar
- [8] (2016) Max-sum diversity via convex programming. Sándor Fekete and Anna Lubiw, eds. Proc. 32nd Sympos. Comput. Geometry, Leibniz International Proceedings in Informatics (LIPIcs), vol. 51 (Schloss Dagstuhl-Leibniz Zentrum für Informatik, Dagstuhl, Germany), 26:1–14.Google Scholar
- [9] (2017) Local search for max-sum diversification. Proc. 28th Sympos. Discrete Algorithms (SIAM, Philadelphia), 130–142.Crossref, Google Scholar
- [10] (2002) Similarity estimation techniques from rounding algorithms. Proc. 34th Annual ACM Sympos. Theory Comput. (ACM, New York), 380–388.Crossref, Google Scholar
- [11] (2010) Dependent randomized rounding via exchange properties of combinatorial structures. Proc. 51st IEEE Sympos. Foundations Comput. Sci. (IEEE, New York), 575–584.Crossref, Google Scholar
- [12] (2011) Multi-budgeted matchings and matroid intersection via dependent rounding. Proc. 21st Annual ACM-SIAM Sympos. Discrete Algorithms (ACM, New York), 1080–1097.Crossref, Google Scholar
- [13] (1984) Submodular set functions, matroids and the greedy algorithm: Tight worst-case bounds and some generalizations of the Rado-Edmonds theorem. Discrete Appl. Math. 7(3):251–274.Crossref, Google Scholar
- [14] (1997) Geometry of Cuts and Metrics (Springer-Verlag, Berlin).Crossref, Google Scholar
- [15] (1990) Metric transforms and euclidean embeddings. Trans. Amer. Math. Soc. 317(2):661–671.Crossref, Google Scholar
- [16] (1998) A threshold of \ln n for approximating set cover. J. ACM 45(4):634–652.Crossref, Google Scholar
- [17] (2004) Maximum dispersion and geometric maximum weight cliques. Algorithmica 38(3):501–511.Crossref, Google Scholar
- [18] (2014) Monotone submodular maximization over a matroid via non-oblivious local search. SIAM J. Comput. 43(2):514–542.Crossref, Google Scholar
- [19] (2009) An axiomatic approach for result diversification. Proc. 18th Internat. Conf. World Wide Web (ACM, New York), 381–390.Crossref, Google Scholar
- [20] (1997) Approximation algorithms for maximum dispersion. Oper. Res. Lett. 21(3):133–137.Crossref, Google Scholar
- [21] (2014) Composable core-sets for diversity and coverage maximization. Proc. 33rd ACM Sympos. Principles Database Systems (ACM, New York), 100–108.Crossref, Google Scholar
- [22] (2010) Submodular maximization over multiple matroids via generalized exchange properties. Math. Oper. Res. 35(4):795–806.Link, Google Scholar
- [23] (2008) Introduction to Information Retrieval (Cambridge University Press, Cambridge, UK), vol. 1.Crossref, Google Scholar
- [24] (1978) Best algorithms for approximating the maximum of a submodular set function. Math. Oper. Res. 3(3):177–188.Link, Google Scholar
- [25] (2015) Randomized rounding for the largest simplex problem. Proc. 47th Annual ACM Sympos. Theory Comput. (ACM, New York), 861–870.Crossref, Google Scholar
- [26] (2005) The Dissimilarity Representation for Pattern Recognition: Foundations And Applications (Machine Perception and Artificial Intelligence) (World Scientific Publishing Co., Inc., River Edge, NJ).Crossref, Google Scholar
- [27] (1994) Heuristic and special case algorithms for dispersion problems. Oper. Res. 42(2):299–310.Link, Google Scholar
- [28] (1983) Introduction to Modern Information Retrieval (McGraw-Hill, New York).Google Scholar
- [29] (1938) Metric spaces and completely monotone functions. Ann. Math. 39(4):811–841.Crossref, Google Scholar
- [30] (1938) Metric spaces and positive definite functions. Trans. Amer. Math. Soc. 44(3):522–536.Crossref, Google Scholar
- [31] (2003) Combinatorial Optimization—Polyhedra and Efficiency (Springer Science & Business Media, New York).Google Scholar
- [32] (2017) Optimal approximation for submodular and supermodular optimization with bounded curvature. Math. Oper. Res. 42(4):1197–1218.Link, Google Scholar

