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| Συμπλήρωση Πινάκων× | Πολλαπλή Στατιστική Πληροφόρηση× | |
|---|---|---|
| Πεδίο≠ | Μηχανική Μάθηση | Στατιστική |
| Οικογένεια≠ | Machine learning | Process / pipeline |
| Έτος προέλευσης≠ | 2009 | 1987 |
| Δημιουργός≠ | Emmanuel Candès & Benjamin Recht | Donald B. Rubin |
| Τύπος≠ | Convex low-rank recovery | Missing-data handling procedure |
| Θεμελιώδης πηγή≠ | Candès, E. J., & Recht, B. (2009). Exact matrix completion via convex optimization. Foundations of Computational Mathematics, 9(6), 717–772. DOI ↗ | Rubin, D.B. (1987). Multiple Imputation for Nonresponse in Surveys. Wiley. DOI ↗ |
| Εναλλακτικές ονομασίες≠ | Nuclear Norm Minimization, Collaborative Filtering via Low-Rank Recovery, Inductive Matrix Completion, Matris Tamamlama | MICE, Multivariate Imputation by Chained Equations, Çoklu Atama (Multiple Imputation — MICE) |
| Συναφείς≠ | 2 | 1 |
| Σύνοψη≠ | 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. | Multiple Imputation (MI), formally introduced by Donald B. Rubin in 1987, is a principled statistical procedure for handling missing data. Rather than replacing each missing value once, MI fills the gaps m times — each time drawing plausible values from the posterior predictive distribution of the missing data — producing m complete datasets. Each dataset is analysed independently, and the results are combined into a single set of estimates using Rubin's pooling rules. The MICE variant (Multivariate Imputation by Chained Equations), popularised by van Buuren and Groothuis-Oudshoorn (2011), extends the approach to mixed variable types by imputing each variable in turn through a sequence of conditional regression models. |
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