2 papers
cs.CV2025
Enhancing deep neural networks through complex-valued representations and Kuramoto synchronization dynamics
Sabine Muzellec, Andrea Alamia, Thomas Serre +1
Neural synchrony is hypothesized to play a crucial role in how the brain organizes visual scenes into structured representations, enabling the robust encoding of multiple objects w…
math.AP2025
Wave propagation phenomena in nonlinear hierarchical neural networks with predictive coding feedback dynamics
Andrea Alamia, Léa Dalliès, Grégory Faye +1
We propose a mathematical framework to systematically explore the propagation properties of a class of continuous in time nonlinear neural network models comprising a hierarchy of…