192 citations · 405 across the 40 of their papers we have counts for
47 papers
Logical Information Cells I
Jean-Claude Belfiore, Daniel Bennequin, Xavier Giraud
In this study we explore the spontaneous apparition of visible intelligible reasoning in simple artificial networks, and we connect this experimental observation with a notion of s…
Topos and Stacks of Deep Neural Networks
Jean-Claude Belfiore, Daniel Bennequin
Every known artificial deep neural network (DNN) corresponds to an object in a canonical Grothendieck's topos; its learning dynamic corresponds to a flow of morphisms in this topos…
Multi-Kernel Polar Codes: Concept and Design Principles
Valerio Bioglio, Frederic Gabry, Ingmar Land +1
In this paper, we propose a new polar code construction by employing kernels of different sizes in the Kronecker product of the transformation matrix, thus generalizing the origina…
Semantically Secure Lattice Codes for Compound MIMO Channels
Antonio Campello, Cong Ling, Jean-Claude Belfiore
We consider compound multi-input multi-output (MIMO) wiretap channels where minimal channel state information at the transmitter (CSIT) is assumed. Code construction is given for t…
-expansion: A Theoretical Framework for Fast and Recursive Construction of Polar Codes
Gaoning He, Jean-Claude Belfiore, Xiaocheng Liu +8
In this work, we introduce -expansion, a notion borrowed from number theory, as a theoretical framework to study fast construction of polar codes based on a recursive structure…
Compute-and-Forward over Block-Fading Channels Using Algebraic Lattices
Shanxiang Lyu, Antonio Campello, Cong Ling +1
Previous approaches to compute-and-forward (C\&F) are mostly based on quantizing channel coefficients to integers. In this work, we investigate the C\&F strategy over block fading…