Coupled Tensor-Tensor Completion Method with Applications in Drug Repurposing

arXiv:2609.03190 · math.NA, cs.LG, cs.NA · Submitted 2026-09-02 · Read on arXiv

math.NA, cs.LG, cs.NA

Submitted: 2026-09-02

Updated: 2026-09-02

Code: https://github.com/mbagherian/CTTC

Terminology

• Regularization — 27× in this paper · explained in 3 episodes
• Trace — 12× in this paper · explained in 2 episodes
• Accuracy — 5× in this paper · explained in 1 episode
• Matrix Completion — 5× in this paper · explained in 4 episodes
• Relative Squared Error — 5× in this paper
• Core — 4× in this paper · explained in 2 episodes
• Objective Function — 4× in this paper · explained in 2 episodes
• Ablation — 3× in this paper · explained in 1 episode
• Ablation study — 3× in this paper · explained in 1 episode
• Comparative Toxicogenomics Database — 3× in this paper
• Ontology — 3× in this paper · explained in 2 episodes
• Tucker Decomposition — 3× in this paper · explained in 2 episodes
• Adaptability — 2× in this paper · explained in 1 episode
• Alternating Minimization — 2× in this paper · explained in 1 episode
• Benchmark — 2× in this paper · explained in 2 episodes
• Drug-Target Interaction — 2× in this paper
• Gene Ontology — 2× in this paper
• Generalization — 2× in this paper · explained in 13 episodes
• Library of Integrated Network-based Cellular Signatures — 2× in this paper
• Robustness — 2× in this paper · explained in 5 episodes
• Sparsity — 2× in this paper · explained in 4 episodes
• Canonical Polyadic — 1× in this paper
• Clustering — 1× in this paper · explained in 2 episodes
• Computational Biology — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Data Fusion — 1× in this paper · explained in 3 episodes
• Data Heterogeneity — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Generalizability — 1× in this paper · explained in 6 episodes
• HUGO Gene Nomenclature Committee — 1× in this paper
• Hamming Distance — 1× in this paper · explained in 2 episodes
• Interpretability — 1× in this paper · explained in 15 episodes
• Online Mendelian Inheritance in Man — 1× in this paper
• Unified Framework — 1× in this paper · explained in 5 episodes

Sources

• A Bilevel Optimization Method for Tensor Recovery Under Metric Learning Constraints
• A Unified Framework for Coupled Tensor Completion
• A Tutorial on Distance Metric Learning: Mathematical Foundations, Algorithms, Experimental Analysis, Prospects and Challenges (with Appendices on Mathematical Background and Detailed Algorithms Explanation)

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