An overview of large‐dimensional covariance and precision matrix estimators with applications in chemometrics

J Engel, L Buydens, L Blanchet - Journal of chemometrics, 2017 - Wiley Online Library
The covariance matrix (or its inverse, the precision matrix) is central to many chemometric
techniques. Traditional sample estimators perform poorly for high‐dimensional data such as …

Covariance matrix estimation for FDA-MIMO adaptive transmit power allocation

L Wang, WQ Wang, HC So - IEEE Transactions on Signal …, 2022 - ieeexplore.ieee.org
Frequency diverse array multiple-input multiple-output (FDA-MIMO) radar produces an
angle-range-dependent and time-varying transmit beampattern due to the small frequency …

MIG median detectors with manifold filter

X Hua, L Peng - Signal Processing, 2021 - Elsevier
In this paper, we propose a class of median-based matrix information geometry (MIG)
detectors with a manifold filter and apply them to signal detection in nonhomogeneous …

Multi-target shrinkage estimation for covariance matrices

T Lancewicki, M Aladjem - IEEE Transactions on Signal …, 2014 - ieeexplore.ieee.org
Covariance matrix estimation is problematic when the number of samples is relatively small
compared with the number of variables. One way to tackle this problem is through the use of …

Linear shrinkage estimation of covariance matrices using low-complexity cross-validation

J Tong, R Hu, J Xi, Z Xiao, Q Guo, Y Yu - Signal Processing, 2018 - Elsevier
Shrinkage can effectively improve the condition number and accuracy of covariance matrix
estimation, especially for low-sample-support applications with the number of training …

An adaptive covariance parameterization technique for the ensemble Gaussian mixture filter

AA Popov, R Zanetti - SIAM Journal on Scientific Computing, 2024 - SIAM
The ensemble Gaussian mixture filter (EnGMF) combines the simplicity and power of
Gaussian mixture models with the provable convergence and power of particle filters. The …

Regularized Linear Discriminant Analysis Using a Nonlinear Covariance Matrix Estimator

M Mahadi, T Ballal, M Moinuddin… - IEEE Transactions …, 2024 - ieeexplore.ieee.org
Linear discriminant analysis (LDA) is a widely used technique for data classification. The
method offers adequate performance in many classification problems, but it becomes …

Regularized tapered sample covariance matrix

E Ollila, A Breloy - IEEE Transactions on Signal Processing, 2022 - ieeexplore.ieee.org
Covariance matrix tapers have a long history in signal processing and related fields.
Examples of applications include autoregressive models (promoting a banded structure) or …

Large covariance matrix estimation with oracle statistical rate via majorization-minimization

Q Wei, Z Zhao - IEEE Transactions on Signal Processing, 2023 - ieeexplore.ieee.org
The penalized covariance estimator has been widely used for estimating large sparse
covariance matrices. It is recognized that penalty introduces a non-negligible estimation …

Ensemble Kalman filter implementations based on shrinkage covariance matrix estimation

ED Nino-Ruiz, A Sandu - Ocean Dynamics, 2015 - Springer
This paper develops efficient ensemble Kalman filter (EnKF) implementations based on
shrinkage covariance estimation. The forecast ensemble members at each step are used to …