2024
DOI: 10.1038/s42005-024-01728-0
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An exact mathematical description of computation with transient spatiotemporal dynamics in a complex-valued neural network

Roberto C. Budzinski,
Alexandra N. Busch,
Samuel Mestern
et al.

Abstract: Networks throughout physics and biology leverage spatiotemporal dynamics for computation. However, the connection between structure and computation remains unclear. Here, we study a complex-valued neural network (cv-NN) with linear interactions and phase-delays. We report the cv-NN displays sophisticated spatiotemporal dynamics, which we then use, in combination with a nonlinear readout, for computation. The cv-NN can instantiate dynamics-based logic gates, encode short-term memories, and mediate secure messag… Show more

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