The Kuramoto model: A simple paradigm for synchronization phenomena

JA Acebrón, LL Bonilla, CJ Pérez Vicente, F Ritort… - Reviews of modern …, 2005 - APS
Synchronization phenomena in large populations of interacting elements are the subject of
intense research efforts in physical, biological, chemical, and social systems. A successful …

How important are activation functions in regression and classification? A survey, performance comparison, and future directions

AD Jagtap, GE Karniadakis - Journal of Machine Learning for …, 2023 - dl.begellhouse.com
Inspired by biological neurons, the activation functions play an essential part in the learning
process of any artificial neural network (ANN) commonly used in many real-world problems …

A survey of complex-valued neural networks

J Bassey, L Qian, X Li - arXiv preprint arXiv:2101.12249, 2021 - arxiv.org
Artificial neural networks (ANNs) based machine learning models and especially deep
learning models have been widely applied in computer vision, signal processing, wireless …

[图书][B] Complex-valued neural networks

A Hirose - 2006 - Wiley Online Library
Complex-valued neural networks Complex-Valued Neural Networks Page 2 IEEE Press 445
Hoes Lane Piscataway, NJ 08854 IEEE Press Editorial Board 2013 John Anderson, Editor in …

Complex-valued multistate neural associative memory

S Jankowski, A Lozowski… - IEEE Transactions on …, 1996 - ieeexplore.ieee.org
A model of a multivalued associative memory is presented. This memory has the form of a
fully connected attractor neural network composed of multistate complex-valued neurons …

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 …

Discrete-state phasor neural networks

AJ Noest - Physical Review A, 1988 - APS
An associative memory network with local variables assuming one of q equidistant positions
on the unit circle (q-state phasors) is introduced, and its recall behavior is solved exactly for …

Computing with oscillators from theoretical underpinnings to applications and demonstrators

A Todri-Sanial, C Delacour, M Abernot… - Npj unconventional …, 2024 - nature.com
Networks of coupled oscillators have far-reaching implications across various fields,
providing insights into a plethora of dynamics. This review offers an in-depth overview of …

Lagrange stability criteria for hypercomplex neural networks with time varying delays

S Baluni, VK Yadav, S Das - Communications in Nonlinear Science and …, 2024 - Elsevier
This article deals with the Lagrange stability (LS) of hypercomplex neural networks (HCNNs)
with time-varying delays. To overcome the non-commutativity and non-associativity of …

The mean-field theory of a Q-state neural network model

J Cook - Journal of Physics A: Mathematical and General, 1989 - iopscience.iop.org
The mean-field equations of a Q-state clock neural network model are derived in the replica-
symmetric approximation using the replica method. These equations are studied for the …