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Bayesian estimation of graph signals
A Kroizer, T Routtenberg… - IEEE transactions on signal …, 2022 - ieeexplore.ieee.org
We consider the problem of recovering random graph signals from nonlinear
measurements. For this setting, closed-form Bayesian estimators are usually intractable and …
measurements. For this setting, closed-form Bayesian estimators are usually intractable and …
Widely-linear MMSE estimation of complex-valued graph signals
A Amar, T Routtenberg - IEEE Transactions on Signal …, 2023 - ieeexplore.ieee.org
In this article, we consider the problem of recovering random graph signals with complex
values. For general Bayesian estimation of complex-valued vectors, it is known that the …
values. For general Bayesian estimation of complex-valued vectors, it is known that the …
Linear shrinkage estimation of covariance matrices using low-complexity cross-validation
Shrinkage can effectively improve the condition number and accuracy of covariance matrix
estimation, especially for low-sample-support applications with the number of training …
estimation, especially for low-sample-support applications with the number of training …
Shrinkage of covariance matrices for linear signal estimation using cross-validation
Linear estimation of signals is often based on covariance matrices estimated from training,
which can perform poorly if the training data are limited and the estimated covariance …
which can perform poorly if the training data are limited and the estimated covariance …
Shrinkage estimators of large covariance matrices with Toeplitz targets in array signal processing
B Zhang, S Yuan - Scientific Reports, 2022 - nature.com
The problem of estimating a large covariance matrix arises in various statistical applications.
This paper develops new covariance matrix estimators based on shrinkage regularization …
This paper develops new covariance matrix estimators based on shrinkage regularization …
Tuning the parameters for precision matrix estimation using regression analysis
Precision matrix, ie, inverse covariance matrix, is widely used in signal processing, and often
estimated from training samples. Regularization techniques, such as banding and rank …
estimated from training samples. Regularization techniques, such as banding and rank …
Choosing the diagonal loading factor for linear signal estimation using cross validation
Linear signal estimation based on sample covariance matrices (SCMs) can perform poorly if
the training data are limited and the SCMs are ill-conditioned. Diagonal loading (DL) may be …
the training data are limited and the SCMs are ill-conditioned. Diagonal loading (DL) may be …
A tunable beamformer for robust superdirective beamforming
Conventional superdirective beamforming is a well-known multi-microphone enhancement
method with superior directivity factor (DF). However, it suffers from an inferior white noise …
method with superior directivity factor (DF). However, it suffers from an inferior white noise …
Improved Shrinkage Estimator of Large‐Dimensional Covariance Matrix under the Complex Gaussian Distribution
B Zhang - Mathematical Problems in Engineering, 2020 - Wiley Online Library
Estimating the covariance matrix of a random vector is essential and challenging in large
dimension and small sample size scenarios. The purpose of this paper is to produce an …
dimension and small sample size scenarios. The purpose of this paper is to produce an …
Low‐complexity cross‐validation design of a linear estimator
Linear signal estimators have extensive applications. Under the minimum mean squared
error (MMSE) criterion, the linear MMSE (LMMSE) estimator is optimal but requires …
error (MMSE) criterion, the linear MMSE (LMMSE) estimator is optimal but requires …