5 papers
State-space fading memory
Gustave Bainier, Antoine Chaillet, Rodolphe Sepulchre +1
The fading-memory (FM) property captures the progressive loss of influence of past inputs on a system's current output and has originally been formalized by Boyd and Chua in an ope…
Context-dependent manifold learning: A neuromodulated constrained autoencoder approach
Jérôme Adriaens, Gustave Bainier, Guillaume Drion +1
Many physical systems exhibit a low-dimensional structure that varies with external parameters: link lengths in a robot, forcing constants in a fluid, or Reynolds numbers in a flow…
From Consensus to Robust Clustering: Multi-Agent Systems with Nonlinear Interactions
Anthony Couthures, Gustave Bainier, Vineeth Satheeskumar Varma +2
This paper establishes a theoretical framework to describe the transition from consensus to stable clustering in multi-agent systems with nonlinear, cooperative interactions. We fi…
Directional excitability in Hilbert spaces
Gustave Bainier, Alessio Franci
We introduce a generalized excitable system in which spikes can happen in a continuum of directions, therefore drastically enriching the expressivity and control capability of the…
Orthogonal Projection of Convex Sets with a Differentiable Boundary
Gustave Bainier, Benoit Marx, Jean-Christophe Ponsart
Given an Euclidean space, this paper elucidates the topological link between the partial derivatives of the Minkowski functional associated to a set (assumed to be compact, convex,…