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| Matrix Completion× | 음이 아닌 행렬 분해(NMF)× | |
|---|---|---|
| 분야 | 머신러닝 | 머신러닝 |
| 계열≠ | Machine learning | Latent structure |
| 기원 연도≠ | 2009 | 1999 |
| 창시자≠ | Emmanuel Candès & Benjamin Recht | Lee, D. D. & Seung, H. S. |
| 유형≠ | Convex low-rank recovery | Matrix decomposition with non-negativity constraints |
| 원전≠ | Candès, E. J., & Recht, B. (2009). Exact matrix completion via convex optimization. Foundations of Computational Mathematics, 9(6), 717–772. DOI ↗ | Lee, D. D., & Seung, H. S. (1999). Learning the parts of objects by non-negative matrix factorization. Nature, 401(6755), 788–791. DOI ↗ |
| 별칭≠ | Nuclear Norm Minimization, Collaborative Filtering via Low-Rank Recovery, Inductive Matrix Completion, Matris Tamamlama | NMF, NNMF, nonnegative matrix factorization, non-negative matrix approximation |
| 관련≠ | 2 | 4 |
| 요약≠ | Matrix Completion is a technique for recovering a low-rank matrix from a small, possibly random subset of its entries. Introduced by Emmanuel Candès and Benjamin Recht in 2009, it reformulates the problem as nuclear norm minimization — a convex surrogate for rank minimization — and provides theoretical guarantees that exact recovery is achievable when entries are observed uniformly at random and the matrix satisfies an incoherence condition. | Non-negative Matrix Factorization (NMF) is a family of algorithms, introduced by Lee and Seung in their landmark 1999 Nature paper, that decomposes a non-negative data matrix V into the product of two lower-rank non-negative matrices W (basis components) and H (encoding coefficients). Unlike PCA or SVD, the non-negativity constraint forces the algorithm to learn strictly additive, parts-based representations, making the factors directly interpretable as building blocks of the original data. |
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