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. 2026 Jul 16;27:233. doi: 10.1186/s12859-026-06560-7

Table 3.

Illustrative example of merging strategies with imputed values highlighted in italic. Three small datasets (S1, S2, S3) with partially overlapping metabolites (M1–M4) are shown. Top Union-based merging fills missing values with zeros, resulting in a sparse matrix. Center Iterative Similarity-based Merging merges S1 and S2 based on Jaccard similarity and imputes missing values using column-wise means; S3 is treated separately. Bottom Model-guided Agglomerative Merging fills missing values using row-wise means (simulating model-based predictions), producing a more balanced matrix

Dataset M1 M2 M3 M4
Union-based merging
 S1 1.20 0.80 0 0
 S2 0 0.90 1.50 0
 S3 1.10 0 0 0.70
Iterative similarity-based merging
 S1 1.20 0.80 1.50 0.70
 S2 1.20 0.90 1.50 –
 S3 1.10 0.80 – 0.70
Model-guided agglomerative merging
 S1 1.20 0.80 1.40 0.60
 S2 1.15 0.90 1.50 0.65
 S3 1.10 0.85 1.45 0.70