This technical note studies robustness of synchronization against heterogeneity of multi-
agent systems. Here, heterogeneity also includes uncertainties and external disturbances in …

The method of Mirror Descent (MD), originally proposed by Nemirovski and Yudin in the late
1970s, has recently seen a major resurgence in the fields of large-scale optimization and …

Animals choose actions based on imperfect, ambiguous data.“Noise” inherent in neural
processing adds further variability to this already-noisy input signal. Mathematical analysis …

We discuss the role and importance of dynamics in the brain and biological neural networks
and argue that dynamics is one of the main missing elements in conventional Boolean logic …

We study the usefulness of coupled redundancy as a mechanism for reduction in local noise
in coupled map lattices and investigate the role of network topology, coupling strength, and …

In this paper, the exponential synchronization problem for fuzzy Cohen-Grossberg neural
networks with time-varying delays, stochastic noise disturbance, and reaction-diffusion …

We illustrate through theory and numerical simulations that redundant coupled dynamical
systems can be extremely robust against local noise in comparison to uncoupled dynamical …

To learn reliable rules that can generalize to novel situations, the brain must be capable of
imposing some form of regularization. Here we suggest, through theoretical and …

To learn and reason in the presence of uncertainty, the brain must be capable of imposing
some form of regularization. Here we suggest, through theoretical and computational …

It is found here that the state of a network of coupled ordinary differential equations is
partially localizable through a pair of contractive ideal subspaces, chosen from dual …