Complex networks with complex weights

L Böttcher, MA Porter - Physical Review E, 2024 - APS
In many studies, it is common to use binary (ie, unweighted) edges to examine networks of
entities that are either adjacent or not adjacent. Researchers have generalized such binary …

Robust computation with rhythmic spike patterns

EP Frady, FT Sommer - Proceedings of the National …, 2019 - National Acad Sciences
Information coding by precise timing of spikes can be faster and more energy efficient than
traditional rate coding. However, spike-timing codes are often brittle, which has limited their …

Persistent learning signals and working memory without continuous attractors

IM Park, Á Ságodi, PA Sokół - arXiv preprint arXiv:2308.12585, 2023 - arxiv.org
Neural dynamical systems with stable attractor structures, such as point attractors and
continuous attractors, are hypothesized to underlie meaningful temporal behavior that …

Multidirectional associative memory neural network circuit based on memristor

S Du, Z Zhang, J Li, C Sun, J Sun… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Multidirectional associative memory neural network (MAMNN) is a direct extension of
bidirectional associative memory neural network, which can handle multiple associations. In …

A fully complex-valued radial basis function network and its learning algorithm

R Savitha, S Suresh, N Sundararajan - International Journal of …, 2009 - World Scientific
In this paper, a fully complex-valued radial basis function (FC-RBF) network with a fully
complex-valued activation function has been proposed, and its complex-valued gradient …

Applications of complex-valued neural networks to coherent optical computing using phase-sensitive detection scheme

A Hirose - Information Sciences-Applications, 1994 - Elsevier
Applications of complex-valued neural networks to optical signal processing using phase-
sensitive detection schemes are proposed and discussed. In optical information processing …

On activation functions for complex-valued neural networks—existence of energy functions—

Y Kuroe, M Yoshid, T Mori - International Conference on Artificial Neural …, 2003 - Springer
Recently models of neural networks that can directly deal with complex numbers, complex-
valued neural networks, have been proposed and several studies on their abilities of …

Hyperbolic Hopfield neural networks

M Kobayashi - IEEE transactions on neural networks and …, 2012 - ieeexplore.ieee.org
In recent years, several neural networks using Clifford algebra have been studied. Clifford
algebra is also called geometric algebra. Complex-valued Hopfield neural networks …

A broad class of discrete-time hypercomplex-valued Hopfield neural networks

FZ de Castro, ME Valle - Neural Networks, 2020 - Elsevier
In this paper, we address the stability of a broad class of discrete-time hypercomplex-valued
Hopfield-type neural networks. To ensure the neural networks belonging to this class always …

Visual odometry with neuromorphic resonator networks

A Renner, L Supic, A Danielescu, G Indiveri… - Nature Machine …, 2024 - nature.com
Visual odometry (VO) is a method used to estimate self-motion of a mobile robot using visual
sensors. Unlike odometry based on integrating differential measurements that can …