linear systems

On Optimal Regularization in Estimation, Detection, and Classification

Tareq Al-Naffouri, Professor, Electrical and Computer Engineering

Apr 30, 12:00 - 13:00

KAUST

linear systems computational Complexity Convex Gaussian Min-max theorem

In many problems in statistical signal processing, regularization is employed to deal with uncertainty, ill-posedness, and insufficiency of training data. It is possible to tune these regularizers optimally asymptotically, i.e. when the dimension of the problem becomes very large, by using tools from random matrix theory and Gauss Process Theory. In this talk, we demonstrate the optimal turning of regularization for three problems : i) Regularized least squares for solving ill-posed and/or uncertain linear systems, 2) Regularized least squares for signal detection in multiple antenna communication systems and 3) Regularized linear and quadratic discriminant binary classifiers.