Anisotropic local laws for random matrices

A Knowles, J Yin - Probability Theory and Related Fields, 2017 - Springer
We develop a new method for deriving local laws for a large class of random matrices. It is
applicable to many matrix models built from sums and products of deterministic or …

Cell-free UAV networks: Asymptotic analysis and deployment optimization

C Diaz-Vilor, A Lozano… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Recently, cell-free (CF) architectures, in which every user can potentially communicate with
every base station, have received a lot of attention. This paper considers the uplink of fully …

Cell-free UAV networks with wireless fronthaul: Analysis and optimization

C Diaz-Vilor, A Lozano… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
The use of uncrewed aerial vehicles (UAVs) in cell-free networks is poised to unleash a
number of new opportunities to further improve wireless networks. However, cell-free UAV …

Exact expressions for double descent and implicit regularization via surrogate random design

M Derezinski, FT Liang… - Advances in neural …, 2020 - proceedings.neurips.cc
Double descent refers to the phase transition that is exhibited by the generalization error of
unregularized learning models when varying the ratio between the number of parameters …

Rotational invariant estimator for general noisy matrices

J Bun, R Allez, JP Bouchaud… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
We investigate the problem of estimating a given real symmetric signal matrix C from a noisy
observation matrix M in the limit of large dimension. We consider the case where the noisy …

Learning rates as a function of batch size: A random matrix theory approach to neural network training

D Granziol, S Zohren, S Roberts - Journal of Machine Learning Research, 2022 - jmlr.org
We study the effect of mini-batching on the loss landscape of deep neural networks using
spiked, field-dependent random matrix theory. We demonstrate that the magnitude of the …

Improved subspace estimation for multivariate observations of high dimension: the deterministic signals case

P Vallet, P Loubaton, X Mestre - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
We consider the problem of subspace estimation in situations where the number of available
snapshots and the observation dimension are comparable in magnitude. In this context …

[LIBRO][B] Cognitive radio communication and networking: Principles and practice

RC Qiu, Z Hu, H Li, MC Wicks - 2012 - books.google.com
The author presents a unified treatment of this highly interdisciplinary topic to help define the
notion of cognitive radio. The book begins with addressing issues such as the fundamental …

Gaussian fluctuations for linear spectral statistics of large random covariance matrices

J Najim, J Yao - 2016 - projecteuclid.org
Consider a N*n matrix n=1nR_n^1/2X_n, where R_n is a nonnegative definite Hermitian
matrix and X_n is a random matrix with iid real or complex standardized entries. The …

Theoretical performance limits of massive MIMO with uncorrelated Rician fading channels

L Sanguinetti, A Kammoun… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
This paper considers a Massive MIMO network with L cells, each comprising a base stations
(BS) with M antennas and K single-antenna user equipments. Within this setting, we are …