21 citations · 45 across the 10 of their papers we have counts for
9 papers · 1 filter
A moment-based approach to the injective norm of random tensors
Stephane Dartois, Benjamin McKenna
In this paper, we present a technically simple method to establish upper bounds on the expected injective norm of real and complex random tensors. Our approach is somewhat analogou…
Injective norm of real and complex random tensors I: From spin glasses to geometric entanglement
Stephane Dartois, Benjamin McKenna
The injective norm is a natural generalization to tensors of the operator norm of a matrix. In quantum information, the injective norm is one important measure of genuine multipart…
Universality for the global spectrum of random inner-product kernel matrices in the polynomial regime
Sofiia Dubova, Yue M. Lu, Benjamin McKenna +1
We consider certain large random matrices, called random inner-product kernel matrices, which are essentially given by a nonlinear function applied entrywise to a sample-covari…
Large deviations for the largest eigenvalue of generalized sample covariance matrices
Jonathan Husson, Benjamin McKenna
We establish a large-deviations principle for the largest eigenvalue of a generalized sample covariance matrix, meaning a matrix proportional to , where has i.i.d. real…
Extremal statistics of quadratic forms of GOE/GUE eigenvectors
Laszlo Erdos, Benjamin McKenna
We consider quadratic forms of deterministic matrices evaluated at the random eigenvectors of a large GOE or GUE matrix, or equivalently evaluated at the columns o…
Landscape complexity beyond invariance and the elastic manifold
Gérard Ben Arous, Paul Bourgade, Benjamin McKenna
This paper characterizes the annealed, topological complexity (both of total critical points and of local minima) of the elastic manifold. This classical model of a disordered elas…
Complexity of bipartite spherical spin glasses
Benjamin McKenna
This paper characterizes the annealed complexity of bipartite spherical spin glasses, both pure and mixed. This means we give exact variational formulas for the asymptotics of the…
Exponential growth of random determinants beyond invariance
Gérard Ben Arous, Paul Bourgade, Benjamin McKenna
We give simple criteria to identify the exponential order of magnitude of the absolute value of the determinant for wide classes of random matrix models, not requiring the assumpti…
Large deviations for extreme eigenvalues of deformed Wigner random matrices
Benjamin McKenna
We present a large deviation principle at speed N for the largest eigenvalue of some additively deformed Wigner matrices. In particular this includes Gaussian ensembles with full-r…