Search Results - "Bizeul, Pierre"

Entropy and Information jump for log-concave vectors by Bizeul, Pierre

“…We extend the result of Ball and Nguyen on the jump of entropy under convolution for log-concave random vectors. We show that the result holds for any pair of…”
Get full text

Positive Solutions for Large Random Linear Systems by Bizeul, Pierre, Clenet, Maxime, Najim, Jamal

“…Consider a large linear system with random underlying matrix: x n = 1 n + 1/(α n √β n )M n x n , where x n is the unknown, 1 n is a vector of ones, M n is a…”
Get full text

On the log-Sobolev constant of log-concave measures by Bizeul, Pierre

“…It is well known that a log-Sobolev inequality implies sub-gaussian decay of the tails. In the spirit of the KLS conjecture, we investigate whether this…”
Get full text

On measures strongly log-concave on a subspace by Bizeul, Pierre

“…In this work we study the concentration properties of log-concave measures that are curved only on a subspace of directions. Proofs uses an adapted version of…”
Get full text

Entropy and Information jump for log-concave vectors by Bizeul, Pierre

“…We extend the result of Ball and Nguyen on the jump of entropy under convolution for logconcave random vectors. We show that the result holds for any pair of…”
Get full text

Positive solutions for large random linear systems by Bizeul, Pierre, Najim, Jamal

“…Consider a large linear system where $A_n$ is a $n\times n$ matrix with independent real standard Gaussian entries, $\boldsymbol{1}_n$ is a $n\times 1$ vector…”
Get full text