AbstractWe prove concentration results for ℓpn operator norms of rectangular random matrices and eigenvalues of self-adjoint random matrices. The random matrices we consider have bounded entries which are independent, up to a possible self-adjointness constraint. Our results are based on an isoperimetric inequality for product spaces due to Talagrand
This work presents probability inequalities for sums of independent, random, self-adjoint matrices....
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The current work applies some recent combinatorial tools due to Jain to control the eigenvalue gaps ...
AbstractWe prove concentration results for ℓpn operator norms of rectangular random matrices and eig...
This paper develops nonasymptotic growth and concentration bounds for a product of independent rando...
We study the spectral norm of matrices $BA$, where $A$ is a random matrix with independent mean zero...
63 pagesInternational audienceLet $\mathbf X_N= (X_1^{(N)} \etc X_p^{(N)})$ be a family of $N \times...
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The Chernoff bound proves concentration for sums of independent Bernoulli random variables. As we ha...
This paper derives exponential tail bounds and polynomial moment inequalities for the spectral norm ...
This work presents probability inequalities for sums of independent, random, self-adjoint matrices....
This paper deduces exponential matrix concentration from a Poincaré inequality via a short, conceptu...
The current work applies some recent combinatorial tools due to Jain to control the eigenvalue gaps ...
AbstractWe prove concentration results for ℓpn operator norms of rectangular random matrices and eig...
This paper develops nonasymptotic growth and concentration bounds for a product of independent rando...
We study the spectral norm of matrices $BA$, where $A$ is a random matrix with independent mean zero...
63 pagesInternational audienceLet $\mathbf X_N= (X_1^{(N)} \etc X_p^{(N)})$ be a family of $N \times...
This paper considers a class of entropy functionals defined for random matrices, and it demonstrates...
This paper derives exponential concentration inequalities and polynomial moment inequalities for the...
In contemporary applied and computational mathematics, a frequent challenge is to bound the expectat...
This paper establishes new concentration inequalities for random matrices constructed from independe...
Matrix concentration inequalities give bounds for the spectral-norm deviation of a random matrix fro...
AbstractWe show that the mixing times of random walks on compact groups can be used to obtain concen...
The Chernoff bound proves concentration for sums of independent Bernoulli random variables. As we ha...
This paper derives exponential tail bounds and polynomial moment inequalities for the spectral norm ...
This work presents probability inequalities for sums of independent, random, self-adjoint matrices....
This paper deduces exponential matrix concentration from a Poincaré inequality via a short, conceptu...
The current work applies some recent combinatorial tools due to Jain to control the eigenvalue gaps ...
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