Publicación: THE A-GROUPS UNDER CONDORCET CLUSTERING
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2022
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MATHEMATICS
Resumen
WE INTRODUCE A NEW APPROACH TO CLUSTERING CATEGORICAL DATA: CONDORCET CLUSTERING WITH A FIXED NUMBER OF GROUPS, DENOTED A-CONDORCET. AS K-MODES, THIS APPROACH IS ESSENTIALLY BASED ON SIMILARITY AND DISSIMILARITY MEASURES. THE PAPER IS DIVIDED INTO THREE PARTS: FIRST, WE PROPOSE A NEW CONDORCET CRITERION, WITH A FIXED NUMBER OF GROUPS (TO SELECT CASES INTO CLUSTERS). IN THE SECOND PART, WE PROPOSE A HEURISTIC ALGORITHM TO CARRY OUT THE TASK. IN THE THIRD PART, WE COMPARE A-CONDORCET CLUSTERING WITH K-MODES CLUSTERING. THE COMPARISON IS MADE WITH A QUALITYS INDEX, ACCURACY OF A MEASUREMENT, AND A WITHIN-CLUSTER SUM-OF-SQUARES INDEX. OUR FINDINGS ARE ILLUSTRATED USING REAL DATASETS: THE FELINE DATASET AND THE US CENSUS 1990 DATASET.
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Within-cluster sum-of-squares index, Quality index, Categorical data, Condorcet clustering, K-modes
