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Real-time Electrophysiology: Using Closed-loop Protocols to Probe Neuronal Dynamics and Beyond
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Stability of neural networks and solitons of field theory
1Department of Physics, Korea Advanced Institute of Science and Technology, Yusong-ku Daejon 305-701, South Korea.
Abstract:
The layers of a feed-forward neural network are interpreted as a cascade of field theories. The stability of the neural network is interpreted as the topological stability of kink solutions. An explicit example is shown for a three-class problem with their field theoretical Lagrangian equations.
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