1 code implementation • 1 Apr 2023 • Grégoire Sergeant-Perthuis, Nils Ruet, David Rudrauf, Dimitri Ognibene, Yvain Tisserand
In human spatial awareness, 3-D projective geometry structures information integration and action planning through perspective taking within an internal representation space.
no code implementations • 6 Jul 2022 • Grégoire Sergeant-Perthuis, Jakob Maier, Joan Bruna, Edouard Oyallon
In the context of Neural Networks defined over $\mathcal{M}$, it indicates that point-wise non-linear operators are the only universal family that commutes with any group of symmetries, and justifies their systematic use in combination with dedicated linear operators commuting with specific symmetries.
no code implementations • 28 Jan 2022 • Grégoire Sergeant-Perthuis
We propose a theoretical framework for non redundant reconstruction of a global loss from a collection of local ones under constraints given by a functor; we call this loss the regionalized loss in honor to Yedidia, Freeman, Weiss' celebrated article `Constructing free-energy approximations and generalized belief propagation algorithms' where a first example of regionalized loss, for entropy and the marginal functor, is built.
no code implementations • 2 Apr 2021 • David Rudrauf, Grégoire Sergeant-Perthuis, Yvain Tisserand, Teerawat Monnor, Olivier Belli
We also show that the agents can be used to estimate correctly each other order of ToM.
