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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…
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…