Tracy-Widom law for the extreme eigenvalues of large signal-plus-noise matrices
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Publication:6137710
DOI10.3150/23-bej1604OpenAlexW3088776398MaRDI QIDQ6137710
Yi-Ming Liu, Zhixiang Zhang, Guangming Pan
Publication date: 16 January 2024
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3150/23-bej1604
Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Stochastic integral equations (60H20)
Cites Work
- Unnamed Item
- The Tracy-Widom law for the largest eigenvalue of F type matrices
- Averaging fluctuations in resolvents of random band matrices
- Almost sure localization of the eigenvalues in a Gaussian information plus noise model. Application to the spiked models.
- Tracy-Widom distribution for the largest eigenvalue of real sample covariance matrices with general population
- The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
- Rigidity of eigenvalues of generalized Wigner matrices
- Anisotropic local laws for random matrices
- Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices
- Level-spacing distributions and the Airy kernel
- A necessary and sufficient condition for edge universality at the largest singular values of covariance matrices
- Canonical correlation coefficients of high-dimensional Gaussian vectors: finite rank case
- A unified matrix model including both CCA and F matrices in multivariate analysis: the largest eigenvalue and its applications
- On the distribution of the largest eigenvalue in principal components analysis
- On orthogonal and symplectic matrix ensembles
- On bilinear forms based on the resolvent of large random matrices
- Random matrices: Universality of local eigenvalue statistics up to the edge
- Shape fluctuations and random matrices
- A CLT for linear spectral statistics of large random information-plus-noise matrices
- Edge statistics of large dimensional deformed rectangular matrices
- Tracy-Widom at each edge of real covariance and MANOVA estimators
- High dimensional deformed rectangular matrices with applications in matrix denoising
- Edge universality of separable covariance matrices
- On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices
- Convergence of local statistics of Dyson Brownian motion
- A necessary and sufficient condition for edge universality of Wigner matrices
- Deterministic equivalents for certain functionals of large random matrices
- Singular vector and singular subspace distribution for the matrix denoising model
- The Isotropic Semicircle Law and Deformation of Wigner Matrices
- OptShrink: An Algorithm for Improved Low-Rank Signal Matrix Denoising by Optimal, Data-Driven Singular Value Shrinkage
- Rate Optimal Denoising of Simultaneously Sparse and Low Rank Matrices
- Edge universality for deformed Wigner matrices
- Testing Hypotheses About the Number of Factors in Large Factor Models
- Improved Subspace Estimation for Multivariate Observations of High Dimension: The Deterministic Signals Case
- On the Limitation of Spectral Methods: From the Gaussian Hidden Clique Problem to Rank One Perturbations of Gaussian Tensors
- Local deformed semicircle law and complete delocalization for Wigner matrices with random potential
- Signal-plus-noise matrix models: eigenvector deviations and fluctuations
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