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Research questionHow can heterogeneous multi-omics datasets be integrated while quantifying their biological differences?Multi-omics datasets can differ substantially in structure and biological heterogeneity, complicating joint analysis. A useful integration framework must represent those differences mathematically rather than treating all measurements as directly comparable.
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Latest papersRecent research connected to this question, newest first.Diagonal Multi-omics Integration of Heterogeneous DatasetsThe source studies diagonal integration using extremal trace problems for a coupled Laplacian on sets homeomorphic to the Stiefel manifold in complex Euclidean space. It develops gradient ascent for the associated maximization problem and characterizes heterogeneity using the norm of the difference between maximum and minimum points; no specific omics types or downstream task are given.research paper · Sep 2, 2026
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