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math.DS2025
Memorisation and forgetting in a learning Hopfield neural network: bifurcation mechanisms, attractors and basins
Adam E. Essex, Natalia B. Janson, Rachel A. Norris +1
Despite explosive expansion of artificial intelligence based on artificial neural networks (ANNs), these are employed as "black boxes'', as it is unclear how, during learning, they…
math.DS2018
Asymptotic behaviour of dynamical systems with plastic self-organising vector fields
N. B. Janson, P. E. Kloeden
In [Janson & Marsden 2017] a dynamical system with a plastic self-organising velocity vector field was introduced, which was inspired by the architectural plasticity of the brain a…