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20122023
most citedCompressed Sensing of Approximately-Sparse Signals: Phase Transitions and Optimal Reconstruction

12 citations · 39 across the 9 of their papers we have counts for

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17 papers · 1 filter

cs.IT2023

Matrix Inference in Growing Rank Regimes

Farzad Pourkamali, Jean Barbier, Nicolas Macris

The inference of a large symmetric signal-matrix corrupted by additive Gaussian noise, is considered for two regimes of growth of the rank $…

cs.IT20227 cited

The price of ignorance: how much does it cost to forget noise structure in low-rank matrix estimation?

Jean Barbier, TianQi Hou, Marco Mondelli +1

We consider the problem of estimating a rank-1 signal corrupted by structured rotationally invariant noise, and address the following question: how well do inference algorithms per…

cs.IT2022

Sparse superposition codes under VAMP decoding with generic rotational invariant coding matrices

TianQi Hou, YuHao Liu, Teng Fu +1

Sparse superposition codes were originally proposed as a capacity-achieving communication scheme over the gaussian channel, whose coding matrices were made of i.i.d. gaussian entri…

cs.IT2020

Information theoretic limits of learning a sparse rule

Clément Luneau, Jean Barbier, Nicolas Macris

We consider generalized linear models in regimes where the number of nonzero components of the signal and accessible data points are sublinear with respect to the size of the signa…

cs.IT2020

All-or-nothing statistical and computational phase transitions in sparse spiked matrix estimation

Jean Barbier, Nicolas Macris, Cynthia Rush

We determine statistical and computational limits for estimation of a rank-one matrix (the spike) corrupted by an additive gaussian noise matrix, in a sparse limit, where the under…

cs.IT2020

Information-theoretic limits of a multiview low-rank symmetric spiked matrix model

Jean Barbier, Galen Reeves

We consider a generalization of an important class of high-dimensional inference problems, namely spiked symmetric matrix models, often used as probabilistic models for principal c…