Zobrazeno 1 - 10
of 118
pro vyhledávání: '"Bennequin, Daniel"'
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 semantic information. We start with the reproduction of a DNN model of
Externí odkaz:
http://arxiv.org/abs/2108.04751
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. Invariance structures in the layers (like CNNs or LSTMs) correspond
Externí odkaz:
http://arxiv.org/abs/2106.14587
Autor:
Egeileh, Michel, Bennequin, Daniel
Using the functor of points, we prove that the Wess-Zumino equations for massive chiral superfields in dimension 4|4 can be represented by supersymmetric equations in terms of superfunctions in the Berezin-Kostant-Leites sense (involving ordinary fie
Externí odkaz:
http://arxiv.org/abs/2106.12455
We introduce an original notion of extra-fine sheaf on a topological space, and a variant (hyper-extra-fine) for which \v{C}ech cohomology in strictly positive degree vanishes. We provide a characterization of such sheaves when the topological space
Externí odkaz:
http://arxiv.org/abs/2009.12646
Publikováno v:
Aequationes Mathematicae, 2020
We solve a functional equation connected to the algebraic characterization of generalized information functions. To prove the symmetry of the solution, we study a related system of functional equations, which involves two homographies. These transfor
Externí odkaz:
http://arxiv.org/abs/1910.06927
This paper presents methods that quantify the structure of statistical interactions within a given data set, and was first used in \cite{Tapia2018}. It establishes new results on the k-multivariate mutual-informations (I_k) inspired by the topologica
Externí odkaz:
http://arxiv.org/abs/1907.04242
The Moon often appears larger near the perceptual horizon and smaller high in the sky though the visual angle subtended is invariant. We show how this illusion results from the optimization of a projective geometrical frame for conscious perception t
Externí odkaz:
http://arxiv.org/abs/1809.04414
Autor:
Bennequin, Daniel
We propose a geometric explanation of the standard model of Glashow, Weinberg and Salam for the known elementary particles. Our model is a generic Quantum Field Theory in dimension four, obtained by developing along a Lorentz sub-manifold the lagrang
Externí odkaz:
http://arxiv.org/abs/1601.04127
One fascinating aspect of the brain is its ability to process information in a fast and reliable manner. The functional architecture is thought to play a central role in this task, by encoding efficiently complex stimuli and facilitating higher level
Externí odkaz:
http://arxiv.org/abs/1409.4927