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Machine learningMissing data

矩阵填充

矩阵填充是一种从其少量、可能随机的条目子集中恢复低秩矩阵的技术。该技术由 Emmanuel Candès 和 Benjamin Recht 于 2009 年提出,它将问题重新表述为核范数最小化——这是秩最小化的凸松弛——并提供了理论保证,即当条目均匀随机观测且矩阵满足不相干条件时,可以实现精确恢复。

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来源

  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

如何引用本页

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

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被引用于

ScholarGateMatrix Completion (Low-Rank Matrix Completion). 于 2026-06-15 检索自 https://scholargate.app/zh/machine-learning/matrix-completion · 数据集: https://doi.org/10.5281/zenodo.20539026