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Scalable and Globally Optimal Generalized L₁ K-center Clustering via Constraint Generation in Mixed Integer Linear Programming

AAAI 2023 · Learning theory and algorithms › Clustering · approach: Correlation clustering · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use globally optimized kc-Opt instead of the strongest listed baselineL1 k-center clustering · 20 real benchmark datasetsL1 k-center objective εHelped
Add constraint generation to solve the MILP iteratively, adding violated farthest-point constraintsGeneralized L1 k-center MILP · Norm synthetic datasetsnumber of constraints generated: ≈450Helped
Add outlier exclusion to the objective, removing l observations (ablation)kc-Opt · Norm-Out synthetic datasetL1 k-center objective εHelped
Use kc-OptOut instead of the outlier-aware k,z-center baselineOutlier-aware L1 k-center clustering · Norm-Out synthetic datasetL1 k-center objective εHelped

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