Low Permutation-rank Matrices: Structural Properties and Noisy Completion
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Publication:5214186
zbMath1434.68451arXiv1709.00127MaRDI QIDQ5214186
Martin J. Wainwright, Nihar B. Shah, Sivaraman Balakrishnan
Publication date: 7 February 2020
Full work available at URL: https://arxiv.org/abs/1709.00127
recommender systemsoracle inequalitiesminimax theorypermutation-based modelnon-negative matrix completion
Estimation in multivariate analysis (62H12) Minimax procedures in statistical decision theory (62C20) Learning and adaptive systems in artificial intelligence (68T05) Matrix completion problems (15A83)
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Cites Work
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- Tensor Decompositions and Applications
- Minimax risk of matrix denoising by singular value thresholding
- Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion
- On the parameterization of the CreditRisk\(^+\) model for estimating credit portfolio risk
- Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
- Optimal rates of statistical seriation
- Concentration around the mean for maxima of empirical processes
- Active ranking from pairwise comparisons and when parametric assumptions do not help
- Matrix estimation by universal singular value thresholding
- Noisy low-rank matrix completion with general sampling distribution
- Fast singular value thresholding without singular value decomposition
- Exact matrix completion via convex optimization
- Learning mixtures of spherical gaussians
- Stochastically Transitive Models for Pairwise Comparisons: Statistical and Computational Issues
- A Singular Value Thresholding Algorithm for Matrix Completion
- Tensor rank is NP-complete
- Simple, Robust and Optimal Ranking from Pairwise Comparisons
- Competitive analysis of the top-K ranking problem
- A Permutation-Based Model for Crowd Labeling: Optimal Estimation and Robustness
- Estimation in Tournaments and Graphs Under Monotonicity Constraints
- Feeling the Bern: Adaptive Estimators for Bernoulli Probabilities of Pairwise Comparisons
- Recovering Low-Rank Matrices From Few Coefficients in Any Basis
- The Power of Convex Relaxation: Near-Optimal Matrix Completion
- Learning the parts of objects by non-negative matrix factorization
- Linear Regression With Shuffled Data: Statistical and Computational Limits of Permutation Recovery
- A Simpler Approach to Matrix Completion
- Restricted strong convexity and weighted matrix completion: Optimal bounds with noise
- Sparse and Unique Nonnegative Matrix Factorization Through Data Preprocessing
- Computing a nonnegative matrix factorization -- provably
- Low-rank matrix completion using alternating minimization
- Introduction to nonparametric estimation