The Mass Agreement Score: A Point-centric Measure of Cluster Size Consistency

📅 2026-03-24
📈 Citations: 0
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Technology Category

Machine Learning: ClusteringMultiagent Systems: Multiagent Systems under UncertaintyConstraint Satisfaction and Optimization: Distributed CSP/Optimization

Application Category

Security and Privacy: Large-scale security measurementsSearch and Retrieval-Augmented AI: Web evaluation methodologies and metricsWeb Mining and Content Analysis: Normalization, clustering, classification, and summarization of Web text
📝 Abstract
In clustering, strong dominance in the size of a particular cluster is often undesirable, motivating a measure of cluster size uniformity that can be used to filter such partitions. A basic requirement of such a measure is stability: partitions that differ only slightly in their point assignments should receive similar uniformity scores. A difficulty arises because cluster labels are not fixed objects; algorithms may produce different numbers of labels even when the underlying point distribution changes very little. Measures defined directly over labels can therefore become unstable under label-count perturbations. I introduce the Mass Agreement Score (MAS), a point-centric metric bounded in [0, 1] that evaluates the consistency of expected cluster size as measured from the perspective of points in each cluster. Its construction yields fragment robustness by design, assigning similar scores to partitions with similar bulk structure while remaining sensitive to genuine redistribution of cluster mass.
Problem

Research questions and friction points this paper is trying to address.

cluster size consistency
clustering stability
label perturbation
uniformity measure
point-centric metric
Innovation

Methods, ideas, or system contributions that make the work stand out.

Mass Agreement Score
cluster size uniformity
point-centric metric
fragment robustness
clustering stability
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Randolph Wiredu-Aidoo