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Fig 1.

The operating principle of APDCA.

APDCA iteratively optimizes the low-rank matrices (Gi) of multiple relational data matrices through matrix tri-factorization, and updates (Gi) by selecting the top k relationships based on sparsity. Then construct an extrapolated point Yi. Then iterate Sij, Yi by LS-1 if the condition is satisfied, otherwise iterate Sij and Gi by LS-2. Finally reconstruct the relation matrix and get association scores and rank.

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Table 1.

Initialization of variables in the APDCA algorithm.

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Table 1 Expand

Fig 2.

Schematic illustration of the multi-type biological network used in APDCA.

Six types of biological entities are represented: RNA-binding proteins (RBPs), miRNAs, genes, alternative splicing (AS) events, diseases, and drugs. Edges between entities denote observed associations Rij with corresponding weights Wij. Self-loop parameters and are used for gene and drug regularization, respectively.

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Fig 3.

Comparison of predictive performance under 5-fold cross-validation.

(a) ROC curves with AUC values. (b) Precision-Recall curves with AUPR values. APDCA achieves the highest scores across both metrics.

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Fig 4.

Convergence comparison of APDCA, SIMCLDA, MLFDA, and SDLDA over 100 iterations using relative error as the evaluation metric.

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Fig 5.

Network showing the RBP–AS event associations during EMT.

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Table 2.

Top 10 QKI–AS Event Associations Predicted by APDCA and Their Evidence in OncoSplicing.

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Table 2 Expand

Fig 6.

AUC surface with respect to regularization parameters λ and .

Performance improves as both parameters decrease and stabilizes at low values.

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Table 3.

AUC values under different combinations of regularization parameters λ and .

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Table 3 Expand

Fig 7.

AUC sensitivity of APDCA to the sparse control parameter k under 5-fold cross-validation.

Performance peaks at k = 75 and remains stable across a wide range.

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Fig 7 Expand