Optimal estimation of Schatten norms of a rectangular matrix
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Publication:6621525
DOI10.1214/24-aos2374MaRDI QIDQ6621525
Solène Thépaut, Nicolas Verzelen
Publication date: 18 October 2024
Published in: The Annals of Statistics (Search for Journal in Brave)
Estimation in multivariate analysis (62H12) Minimax procedures in statistical decision theory (62C20)
Cites Work
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- Reconstruction of a low-rank matrix in the presence of Gaussian noise
- Minimax risk of matrix denoising by singular value thresholding
- Concentration inequalities and moment bounds for sample covariance operators
- Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional
- Minimax quadratic estimation of a quadratic functional
- On estimation of \(L_r\)-norms in Gaussian white noise models
- On estimation of the \(L_r\) norm of a regression function
- Spectrum estimation from samples
- Minimax estimation of linear and quadratic functionals on sparsity classes
- Matrix estimation by universal singular value thresholding
- Barycentric-Remez algorithms for best polynomial approximation in the chebfun system
- Random Matrix Methods for Wireless Communications
- Minimax Rates of Entropy Estimation on Large Alphabets via Best Polynomial Approximation
- Minimax Estimation of Functionals of Discrete Distributions
- The Optimal Hard Threshold for Singular Values is <inline-formula> <tex-math notation="TeX">\(4/\sqrt {3}\) </tex-math></inline-formula>
- OptShrink: An Algorithm for Improved Low-Rank Signal Matrix Denoising by Optimal, Data-Driven Singular Value Shrinkage
- High-Dimensional Probability
- Testing Matrix Rank, Optimally
- Improved Subspace Estimation for Multivariate Observations of High Dimension: The Deterministic Signals Case
- On Sketching Matrix Norms and the Top Singular Vector
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