Evaluating a branch-and-bound RLT-based algorithm for minimum sum-of-squares clustering
From MaRDI portal
Publication:628745
DOI10.1007/s10898-010-9571-3zbMath1213.90205OpenAlexW2100485099MaRDI QIDQ628745
Publication date: 14 March 2011
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-010-9571-3
Applications of mathematical programming (90C90) Combinatorial optimization (90C27) Boolean programming (90C09)
Related Items
A generic approach to proving NP-hardness of partition type problems, New heuristic for harmonic means clustering, SOS-SDP: An Exact Solver for Minimum Sum-of-Squares Clustering, Mixed-integer programming techniques for the minimum sum-of-squares clustering problem, An improved column generation algorithm for minimum sum-of-squares clustering, Column generation bounds for numerical microaggregation, The Complexity Status of Problems Related to Sparsest Cuts, Branch-and-cut approaches for \(p\)-cluster editing, Pseudopolynomial algorithms for certain computationally hard vector subset and cluster analysis problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis of global \(k\)-means, an incremental heuristic for minimum sum-of-squares clustering
- An improved column generation algorithm for minimum sum-of-squares clustering
- NP-hardness of Euclidean sum-of-squares clustering
- Cluster analysis and mathematical programming
- Minimum sum of squares clustering in a low dimensional space
- Formulating logical implications in combinatorial optimisation
- A repetitive branch-and-bound procedure for minimum within-cluster sums of squares partitioning
- A comparison of heuristic procedures for minimum within-cluster sums of squares partitioning
- An efficient algorithm for determining the convex hull of a finite planar set
- Mathematical classification and clustering
- A global optimization RLT-based approach for solving the hard clustering problem
- Finding Groups in Data
- An Interior Point Algorithm for Minimum Sum-of-Squares Clustering
- Integer Programming and the Theory of Grouping
- Cluster Analysis and Mathematical Programming
- J-MEANS: A new local search heuristic for minimum sum of squares clustering