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This article addresses a core machine learning challenge by proposing novel clustering methods for heterogeneous datasets using pretopological spaces, directly advancing the field of unsupervised learning. The work provides essential benchmarking against classical algorithms and emphasizes the need for explainable, hierarchical approaches to handle mixed numerical and categorical variables in big data paradigms.
Mixed Data Clustering Survey and Challenges
arXiv:2512.03070v2 Announce Type: replace-cross Abstract: The advent of the big data paradigm has transformed how industries manage and analyze information, ushering in an era of unprecedented data volume, velocity, and variety. Within this landscape, mixed-data clustering has become a critical challenge, requiring innovative methods that can effectively exploit heterogeneous data types, including numerical and categorical variables. Traditional clustering techniques, typically designed for homogeneous datasets, often struggle to capture the additional complexity introduced by mixed data, underscoring the need for approaches specifically tailored to this setting. Hierarchical and explainable algorithms are particularly valuable in this context, as they provide structured, interpretable clustering results that support informed decision-making. This paper introduces a clustering method grounded in pretopological spaces. In addition, benchmarking against classical numerical clustering algorithms and existing pretopological approaches yields insights into the performance and effectiveness of the proposed method within the big data paradigm.
Abstract:The advent of the big data paradigm has transformed how industries manage and analyze information, ushering in an era of unprecedented data volume, velocity, and variety. Within this landscape, mixed-data clustering has become a critical challenge, requiring innovative methods that can effectively exploit heterogeneous data types, including numerical and categorical variables. Traditional clustering techniques, typically designed for homogeneous datasets, often struggle to capture the additional complexity introduced by mixed data, underscoring the need for approaches specifically tailored to this setting. Hierarchical and explainable algorithms are particularly valuable in this context, as they provide structured, interpretable clustering results that support informed decision-making. This paper introduces a clustering method grounded in pretopological spaces. In addition, benchmarking against classical numerical clustering algorithms and existing pretopological approaches yields insights into the performance and effectiveness of the proposed method within the big data paradigm.
Machine Learning (cs.LG); Artificial Intelligence (cs.AI)
arXiv:2512.03070 [cs.LG]
(or arXiv:2512.03070v2 [cs.LG] for this version)
https://doi.org/10.48550/arXiv.2512.03070 Focus to learn more arXiv-issued DOI via DataCite
(2025). Mixed Data Clustering Survey and Challenges. SN Computer Science, 6(8), 939
https://doi.org/10.1007/s42979-025-04439-7 Focus to learn more DOI(s) linking to related resources
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