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Clustering matrix-object data by correlational structure as proxy causal signals
Ziheng Qi1, Liqin Yu2, Junfei Li1
1School of Information Engineering, Beijing Institute of Graphic Communication, No. 1 Xinghua Street (Section 2), Beijing, 102600, China.
Abstract:
Matrix-object clustering addresses samples with multiple records per object. Many existing methods overlook within-object dependencies, which reduces interpretability and mixes heterogeneous regimes. We propose a clustering approach that uses intra-object correlational structure as a proxy for causal signals to separate regimes prior to any formal causal discovery. Each object is transformed into a rank-based correlation representation, enabling standard distance-based clustering while preserving interpretability. On synthetic and real-world datasets, the method yields stable, interpretable clusters that reduce regime mixing. We emphasize the boundary that correlation does not imply causation; correlational patterns are used only as proxy signals under the stated assumptions.
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