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Matrix Completion

Matrix Completion er en teknik til at genfinde en lav-rangs matrix ud fra en lille, muligvis tilfældig delmængde af dens elementer. Introduceret af Emmanuel Candès og Benjamin Recht i 2009, omformulerer den problemet som minimering af nuklear norm – en konveks surrogate for rangminimering – og giver teoretiske garantier for, at eksakt genfinding er mulig, når elementer observeres uniformt tilfældigt, og matricen opfylder en inkohærens-betingelse.

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Kilder

  1. Candès, E. J., & Recht, B. (2009). Exact matrix completion via convex optimization. Foundations of Computational Mathematics, 9(6), 717–772. DOI: 10.1007/s10208-009-9045-5

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ScholarGate. (2026, June 2). Low-Rank Matrix Completion. ScholarGate. https://scholargate.app/da/machine-learning/matrix-completion

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ScholarGateMatrix Completion (Low-Rank Matrix Completion). Hentet 2026-06-15 fra https://scholargate.app/da/machine-learning/matrix-completion · Datasæt: https://doi.org/10.5281/zenodo.20539026