ABCDE: Application-Based Cluster Diff Evals

Abstract: This paper considers the problem of evaluating clusterings of very large populations of items. Given two clusterings, namely a Baseline clustering and an Experiment clustering, the tasks are twofold: 1) characterize their differences, and 2) determine which clustering is better. ABCDE is a novel evaluation technique for accomplishing that. It aims to be practical: it allows items to have associated importance values that are application-specific, it is frugal in its use of human judgements when determining which clustering is better, and it can report metrics for arbitrary slices of items, thereby facilitating understanding and debugging. The approach to measuring the delta in the clustering quality is novel: instead of trying to construct an expensive ground truth up front and evaluating the each clustering with respect to that, where the ground truth must effectively pre-anticipate clustering changes, ABCDE samples questions for judgement on the basis of the actual diffs between the clusterings. ABCDE builds upon the pointwise metrics for clustering evaluation, which make the ABCDE metrics intuitive and simple to understand. The mathematical elegance of the pointwise metrics equip ABCDE with rigorous yet practical ways to explore the clustering diffs and to estimate the quality delta.