Sentence examples for propagate chaos from inspiring English sources

Then we prove that the particle systems propagate chaos toward the law of the limit systems (5) and (9).

This has led us in particular to consider square root diffusion coefficients in the dynamics of the synaptic variables which, as shown below, requires specific arguments to prove that the particle systems are well posed and propagate chaos.

The paper of Baladron et al. [1] studies quite general networks of neurons and aims to prove that these networks propagate chaos in the sense originally developed by Sznitman [2] after the seminal work of Kac on mean-field limits and McKean's work [3] on diffusion processes propagating chaos.

It resembles the ensemble Kalman filter (EnKF) in every aspect except that it represents and propagates model uncertainty by polynomial chaos expansion (PCE) instead of an ensemble of model realizations.

The development of a stochastic metamodel using polynomial chaos expansions allows to propagate the uncertainties of kinetic parameters of hydration, cement phase composition, elastic moduli and morphological parameters of the microstructure.

Turns out those "unknown forces" that seem to drop down out of nowhere into some unstable country and propagate destruction, decimation, violence, and extreme chaos aren't so mysterious after all.

We employ an uncertainty quantification (UQ) framework that combines an integral model and a computational fluid-dynamics (CFD) model and propagate the uncertainty in the inputs using a polynomial chaos expansion method.

Legalism, Daoism, Confucianism: all propagate China's only morale absolute: stability is good; chaos is bad.

According to it, if the neurons are independent at time (t=0) (initial chaos), then in the thermodynamic limit this independence propagates to every (t>0).1 This phenomenon of propagation of chaos has been studied in different kinds of neural network models [19 22].

In the absence of the stabilizing influence of genetic information, cells could not self-propagate, and life would peter out in the face of molecular chaos.

Polynomial Chaos Expansions are used as an effective and computationally efficient tool to propagate the error in model parameters into the optimizations' cost functions.