An Algorithm for the Separation-Preserving Transition of Clusterings
Published Online:5 May 2022https://doi.org/10.1287/ijoo.2022.0074
References
- (2013) Data Clustering: Algorithms and Applications (Taylor & Francis, New York).Google Scholar
- Amazon Web Services (2016) Whitepaper: AWS storage services overview: A look at storage services offered.Google Scholar
- (1987) Power diagrams: Properties, algorithms and applications. SIAM J. Comput. 16(1):78–96.Google Scholar
- (1998) Minkowski-type theorems and least-squares clustering. Algorithmica 20(1):61–76.Google Scholar
- (1992) Optimal partitions having disjoint convex and conic hulls. Math. Programming 54(1–3):69–86.Google Scholar
- (2009) Clustering with Constraints: Advances in Algorithms, Theory and Applications (Chapman & Hall, Boca Raton, FL).Google Scholar
- (1992) Multicategory discrimination via linear programming. Optim. Methods Software 3(1–3):27–39.Google Scholar
- (2010) A combinatorial optimization approach to constrained clustering. PhD Thesis, archived by the Technical University of Munich, Munich, Germany.Google Scholar
- (2013) On the diameter of partition polytopes and vertex-disjoint cycle cover. Math. Programming 141(1–2):1–20.Google Scholar
- (2015) On soft power diagrams. J. Math. Model. Algorithms Oper. Res. 14(2):173–196.Google Scholar
- (2019) Good clusterings have large volume. Oper. Res. 67(1):215–231.Link, Google Scholar
- (2021) Constructing clustering transformations. SIAM J. Discrete Math. 35(1):152–178.Google Scholar
- (2022) Circuit walks in integral polyhedra. Discrete Optim. Forthcoming.Google Scholar
- (2011) Constrained minimum-k-star clustering and its application to the consolidation of farmland. Oper. Res. 11(1):1–17.Google Scholar
- (2014) Geometric clustering for the consolidation of farmland and woodland. Math. Intelligencer 36(2):37–44.Google Scholar
- (1999) Multicategory classification by support vector machines. Comput. Optim. Appl. 12:53–79.Google Scholar
- (2003) On the approximability of (discrete) convex maximization and its contribution to the consolidation of farmland. Habilitationsschrift, archived by the Technical University of Munich, Munich, Germany.Google Scholar
- (2012) On optimal weighted balanced clusterings: Gravity bodies and power diagrams. SIAM J. Discrete Math. 26(2):415–434.Google Scholar
- (2002) On the algorithmic implementation of multiclass kernel-based vector machines. J. Machine Learn. Res. 2:265–292.Google Scholar
- (2003) An adaptive algorithm for vector partitioning. J. Global Optim. 25(3):305–319.Google Scholar
- (2019) Element-centric clustering comparison unifies overlaps and hierarchy. Sci. Rep. 9(1):8574.Google Scholar
- (2012) Partitions: Optimality and Clustering, Volume I: Single-Parameter (World Scientific, Singapore).Google Scholar
- (1998) Representations and characterizations of vertices of bounded-shape partition polytopes. Linear Algebra Appl. 278(1–3):263–284.Google Scholar
- (1999) Data clustering: A review. ACM Comput. Surveys 31(3):264–323.Google Scholar
- (2021) Group based job scheduling to increase the high-performance computing efficiency. Lobachevskii J. Math. 41:2558–2565.Google Scholar
- (1967) Some methods of classification and analysis of multivariate observations. Le Cam LM, Neyman J, eds. Proc. Fifth Berkeley Sympos. Math. Statist. Probab., 281–297.Google Scholar
- (2007) Comparing clusterings—An information based distance. J. Multivariate Anal. 98(5):873–895.Google Scholar
- (1984) The measurement of classification agreement: An adjustment to the Rand statistic for chance agreement. Ed. Psych. Measurement 44(1):33–37.Google Scholar
- (2016) Scheduler technologies in support of high performance data analysis. IEEE High Performance Extreme Comput. Conf., 1–6.Google Scholar
- (2019) Balsam: Automated scheduling and execution of dynamic, data-intensive HPC workflows. Preprint, submitted September 18, https://arxiv.org/abs/1909.0874.Google Scholar
- (2002) Learning with Kernels (MIT Press, Cambridge, MA).Google Scholar
- (2016) Linear Programming, 4th ed. (Springer, New York).Google Scholar
- (1998) Statistical Learning Theory (Wiley, Hoboken, NJ).Google Scholar
- (2006) Comparing clusterings—An overview. Technical report 2006-04, Karlsruhe Institute of Technology, Germany.Google Scholar
- (1999) Support vector machines for multi-class pattern recognition. Proc. Seventh Eur. Sympos. Artificial Neural Networks, Bruges (Belgium), 219–224.Google Scholar
- (2008) Clustering (Wiley-IEEE Press, Piscataway, NJ).Google Scholar

