Learning Order Forest for Qualitative-Attribute Data Clustering

๐Ÿ“… 2026-03-03
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๐Ÿค– AI Summary
This work addresses the limitation of traditional clustering methods that rely on Euclidean distance and struggle to uncover implicit cluster structures in qualitative data, such as symptoms or marital status. To overcome this, the authors propose an ordered forest representation tailored for clustering tasks, whichโ€” for the first timeโ€”models nominal attribute values as vertices in tree structures to capture their flexible local ordinal relationships. A clustering-oriented joint learning framework is further designed to simultaneously optimize both the tree structures and cluster assignments. Extensive experiments on twelve real-world benchmark datasets demonstrate that the proposed method significantly outperforms ten state-of-the-art baselines, confirming its effectiveness and superiority in clustering qualitative data.

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๐Ÿ“ Abstract
Clustering is a fundamental approach to understanding data patterns, wherein the intuitive Euclidean distance space is commonly adopted. However, this is not the case for implicit cluster distributions reflected by qualitative attribute values, e.g., the nominal values of attributes like symptoms, marital status, etc. This paper, therefore, discovered a tree-like distance structure to flexibly represent the local order relationship among intra-attribute qualitative values. That is, treating a value as the vertex of the tree allows to capture rich order relationships among the vertex value and the others. To obtain the trees in a clustering-friendly form, a joint learning mechanism is proposed to iteratively obtain more appropriate tree structures and clusters. It turns out that the latent distance space of the whole dataset can be well-represented by a forest consisting of the learned trees. Extensive experiments demonstrate that the joint learning adapts the forest to the clustering task to yield accurate results. Comparisons of 10 counterparts on 12 real benchmark datasets with significance tests verify the superiority of the proposed method.
Problem

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

qualitative-attribute data
clustering
nominal data
distance structure
cluster distribution
Innovation

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

qualitative data clustering
tree-structured distance
order relationship
joint learning
learning order forest
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