324 citations · 1k across the 27 of their papers we have counts for
6 papers · 1 filter
Detection thresholds in very sparse matrix completion
Charles Bordenave, Simon Coste, Raj Rao Nadakuditi
Let be a rectangular matrix of size and be the random matrix where each entry of is multiplied by an independent -Bernoulli random variable with…
Batch latency analysis and phase transitions for a tandem of queues with exponentially distributed service times
Jinho Baik, Raj Rao Nadakuditi
We analyze the latency or sojourn time L(m,n) for the last customer in a batch of n customers to exit from the m-th queue in a tandem of m queues in the setting where the queues ar…
Local Spectrum of Truncations of Kronecker Products of Haar Distributed Unitary Matrices
Brendan Farrell, Raj Rao Nadakuditi
We address the local spectral behavior of the random matrix , where is a Haar distributed unitary matrix of size , the fac…
Numerical computation of convolutions in free probability theory
Sheehan Olver, Raj Rao Nadakuditi
We develop a numerical approach for computing the additive, multiplicative and compressive convolution operations from free probability theory. We utilize the regularity properties…
The singular values and vectors of low rank perturbations of large rectangular random matrices
Florent Benaych-Georges, Raj Rao Nadakuditi
In this paper, we consider the singular values and singular vectors of finite, low rank perturbations of large rectangular random matrices. Specifically, we prove almost sure conve…
The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
Florent Benaych-Georges, Raj Rao Nadakuditi
We consider the eigenvalues and eigenvectors of finite, low rank perturbations of random matrices. Specifically, we prove almost sure convergence of the extreme eigenvalues and app…