1 citations · 2 across the 5 of their papers we have counts for
5 papers
Exact expression for maximum Lyapunov exponent during transients in computationally powerful dynamical networks
Arthur S. Powanwe, Luisa H. B. Liboni, Anif N. Shikder +7
We study a network whose rich spatiotemporal dynamics have recently been shown to enable dynamics-based computation, including logic gates, short-term memory, and simple encryption…
An explicit operator explains end-to-end computation in the modern neural networks used for sequence and language modeling
Anif N. Shikder, Ramit Dey, Sayantan Auddy +6
We establish a mathematical correspondence between state space models, a state-of-the-art architecture for capturing long-range dependencies in data, and an exactly solvable nonlin…
A mathematical language for linking fine-scale structure in spikes from hundreds to thousands of neurons with behaviour
Alexandra N. Busch, Roberto C. Budzinski, Federico W. Pasini +8
Recent advances in neural recording technology allow simultaneously recording action potentials from hundreds to thousands of neurons in awake, behaving animals. However, character…
Image segmentation with traveling waves in an exactly solvable recurrent neural network
Luisa H. B. Liboni, Roberto C. Budzinski, Alexandra N. Busch +4
We study image segmentation using spatiotemporal dynamics in a recurrent neural network where the state of each unit is given by a complex number. We show that this network generat…
An exact mathematical description of computation with transient spatiotemporal dynamics in a complex-valued neural network
Roberto C. Budzinski, Alexandra N. Busch, Samuel Mestern +7
We study a complex-valued neural network (cv-NN) with linear, time-delayed interactions. We report the cv-NN displays sophisticated spatiotemporal dynamics, including partially syn…