268 citations · 1.4k across the 80 of their papers we have counts for
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A Quantized Johnson Lindenstrauss Lemma: The Finding of Buffon's Needle
Laurent Jacques
In 1733, Georges-Louis Leclerc, Comte de Buffon in France, set the ground of geometric probability theory by defining an enlightening problem: What is the probability that a needle…
Quantized Iterative Hard Thresholding: Bridging 1-bit and High-Resolution Quantized Compressed Sensing
Laurent Jacques, Kévin Degraux, Christophe De Vleeschouwer
In this work, we show that reconstructing a sparse signal from quantized compressive measurement can be achieved in an unified formalism whatever the (scalar) quantization resoluti…
On the optimality of a L1/L1 solver for sparse signal recovery from sparsely corrupted compressive measurements
Laurent Jacques
This short note proves the instance optimality of a solver, i.e a variant of \emph{basis pursuit denoising} with a fidelity constraint, whe…
Consistent Iterative Hard Thresholding For Signal Declipping
Srdjan Kitić, Laurent Jacques, Nilesh Madhu +3
Clipping or saturation in audio signals is a very common problem in signal processing, for which, in the severe case, there is still no satisfactory solution. In such case, there i…