212 citations · 1.4k across the 61 of their papers we have counts for
Showing 2019 · cs.ITShow all
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cs.IT2019★ 12 cited
0-1 phase transitions in sparse spiked matrix estimation
Jean Barbier, Nicolas Macris
We consider statistical models of estimation of a rank-one matrix (the spike) corrupted by an additive gaussian noise matrix in the sparse limit. In this limit the underlying hidde…
cs.IT2019★ 6 cited
Mutual information for low-rank even-order symmetric tensor estimation
Clément Luneau, Jean Barbier, Nicolas Macris
We consider a statistical model for finite-rank symmetric tensor factorization and prove a single-letter variational expression for its asymptotic mutual information when the tenso…
cs.IT2019★ 4 cited
Mutual Information for the Stochastic Block Model by the Adaptive Interpolation Method
Jean Barbier, Chun Lam Chan, Nicolas Macris
We rigorously derive a single-letter variational expression for the mutual information of the asymmetric two-groups stochastic block model in the dense graph regime. Existing proof…