Covariance estimation and PCA

  1. Sparsistency and rates of convergence in large covariance matrix estimation

  2. Large covariance estimation by thresholding principal orthogonal complements

  3. Asymptotics of empirical eigen-structure for ultra-high dimensional spiked covariance model

  4. Adaptive thresholding for sparse covariance matrix estimation

  5. Sparse PCA: Optimal rates and adaptive estimation

  6. Sparse principal component analysis and iterative thresholding

  7. Minimax rates of estimation for sparse PCA in high dimensions

  8. Minimax bounds for sparse PCA with noisy high-dimensional data