Search Results for author: Joseph J. Boutros

Found 4 papers, 0 papers with code

Neural network approaches to point lattice decoding

no code implementations13 Dec 2020 Vincent Corlay, Joseph J. Boutros, Philippe Ciblat, Loïc Brunel

It is exponential in the space dimension $n$, which induces shallow neural networks of exponential size.

A lattice-based approach to the expressivity of deep ReLU neural networks

no code implementations28 Feb 2019 Vincent Corlay, Joseph J. Boutros, Philippe Ciblat, Loic Brunel

We prove that they can be computed by ReLU networks with quadratic depth and linear width in the space dimension.

On the CVP for the root lattices via folding with deep ReLU neural networks

no code implementations6 Feb 2019 Vincent Corlay, Joseph J. Boutros, Philippe Ciblat, Loic Brunel

Lattice decoding in Rn, known as the closest vector problem (CVP), becomes a classification problem in the fundamental parallelotope with a piecewise linear function defining the boundary.

General Classification

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