Knowledge-guided Pattern Discovery via Coupled Tensor Factorizations
This work addresses the limitation of traditional tensor decomposition methods in incorporating prior knowledge from computational models when analyzing high-dimensional multi-way data, such as metabolomics datasets, which hinders the discovery of interpretable patterns. The authors propose a knowledge-guided coupled tensor decomposition framework that, for the first time, jointly analyzes real observational data and simulated data generated by computational models under linear coupling constraints. This approach enhances both robustness and interpretability of extracted patterns in noisy settings and successfully identifies latent inconsistencies between model predictions and empirical observations in real metabolomics data. The results demonstrate the method’s effectiveness and novelty in seamlessly integrating domain-specific prior knowledge with data-driven analysis.