vix.ing · top · new · best · stats · spec

A Distributional Approach for Soft Clustering Comparison and Evaluation

2022/06/20 by Andrea Campagner, Campagner, Andrea, Davide Ciucci +3
Computer Science · Physics and Astronomy · #Advanced Clustering Algorithms Research #Artificial Intelligence (cs.AI) #Complex Network Analysis Techniques #FOS: Computer and information sciences #Machine Learning (cs.LG) #Rough Sets and Fuzzy Logic

paper · pdf · doi:10.48550/arxiv.2206.09827

openalex publication_date 2022/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The development of external evaluation criteria for soft clustering (SC) has received limited attention: existing methods do not provide a general approach to extend comparison measures to SC, and are unable to account for the uncertainty represented in the results of SC algorithms. In this article, we propose a general method to address these limitations, grounding on a novel interpretation of SC as distributions over hard clusterings, which we call distributional measures. We provide an in-depth study of complexity- and metric-theoretic properties of the proposed approach, and we describe approximation techniques that can make the calculations tractable. Finally, we illustrate our approach through a simple but illustrative experiment.

Citations

Related