78 citations · 124 across the 10 of their papers we have counts for
5 papers · 1 filter
Smoothed analysis of symmetric random matrices with continuous distributions
Brendan Farrell, Roman Vershynin
We study invertibility of matrices of the form where is an arbitrary symmetric deterministic matrix, and is a symmetric random matrix whose independent entries have c…
Expected Supremum of a Random Linear Combination of Shifted Kernels
Holger Boche, Brendan Farrell, Michel Ledoux +1
We address the expected supremum of a linear combination of shifts of the sinc kernel with random coefficients. When the coefficients are Gaussian, the expected supremum is of orde…
On the Peak-to-Average Power Ratio Reduction Problem for Orthogonal Transmission Schemes
Holger Boche, Brendan Farrell
High peak values of transmission signals in wireless communication systems lead to wasteful energy consumption and out-of-band radiation. However, reducing peak values generally co…
Local Eigenvalue Density for General MANOVA Matrices
Laszlo Erdos, Brendan Farrell
We consider random n\times n matrices of the form (XX*+YY*)^{-1/2}YY*(XX*+YY*)^{-1/2}, where X and Y have independent entries with zero mean and variance one. These matrices are th…
Matrix concentration inequalities via the method of exchangeable pairs
Lester Mackey, Michael I. Jordan, Richard Y. Chen +2
This paper derives exponential concentration inequalities and polynomial moment inequalities for the spectral norm of a random matrix. The analysis requires a matrix extension of t…