D
Debashis Paul
Researcher at University of California, Davis
Publications - 78
Citations - 3520
Debashis Paul is an academic researcher from University of California, Davis. The author has contributed to research in topics: Estimator & Covariance. The author has an hindex of 21, co-authored 74 publications receiving 3144 citations. Previous affiliations of Debashis Paul include Stanford University.
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Prediction by supervised principal components
TL;DR: Supervised Principal Component Analysis (SPCA) as mentioned in this paper is similar to conventional principal components analysis except that it uses a subset of the predictors selected based on their association with the outcome, and can be applied to regression and generalized regression problems, such as survival analysis.
Asymptotics of sample eigenstructure for a large dimensional spiked covariance model
TL;DR: In this paper, the eigenvalues of the covariance matrix are all one, except for a finite number which are larger than a certain threshold, and the corresponding sample eigenvalue has a Gaussian limiting distribution.
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On the distribution of SINR for the MMSE MIMO receiver and performance analysis
TL;DR: A Gamma distribution and a generalized Gamma distribution are proposed as approximations to the finite sample distribution of T and simulations suggest that these approximate distributions can be used to estimate accurately the probability of errors even for very small dimensions.
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Minimax bounds for sparse PCA with noisy high-dimensional data
TL;DR: A lower bound on the minimax risk of estimators under the l2 loss is established, in the joint limit as dimension and sample size increase to infinity, under various models of sparsity for the population eigenvectors.
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Random matrix theory in statistics: A review
Debashis Paul,Alexander Aue +1 more
TL;DR: An overview of random matrix theory is given with the objective of highlighting the results and concepts that have a growing impact in the formulation and inference of statistical models and methodologies.