Recent advances in data science are opening up new research fields and broadening the range of applications of stochastic dynamical systems. Considering the complexities in real-world systems (e.g., noisy data sets and high dimensionality) and challenges in mathematical foundation of machine learning,...
Metadynamics is a powerful method to accelerate molecular dynamics simulations, but its efficiency critically depends on the identification of collective variables that capture the slow modes of the process. Unfortunately, collective variables are usuall
Since the pioneering work of Volterra Volterra (1926), numerous predator-prey models have been formulated to understand the dynamics and interactions among populations. Particularly in the last half-century, a number of variants of Lotka-Volterra model have been proposed and investigated in, for exam...
Path integral methods for the dynamics of stochastic and disordered systems We review some of the techniques used to study the dynamics of disordered systems subject to both quenched and fast (thermal) noise. Starting from the Mart... JA Hertz,Y Roudi,P Sollich - 《Journal of Physics A Mathe...
In this paper, we propose a novel technique to implement stochastic gradient methods, which are beneficial for learning from large datasets, through accelerated stochastic dynamics. A stochastic gradient method is based on mini-batch learning for reducing the computational cost when the amount of data...
It is generally admitted that deterministic approaches could not properly deal with the dynamics of complex and uncertain RES-based energy systems. Moreover, in real-time power management, the action implemented at the certain time slot t influences the following states and future decisions to be ...
Fluid dynamics Nonlinear phenomena Projection and prediction Nature Reviews Physics (Nat Rev Phys)ISSN2522-5820(online) Sign up for theNature Briefingnewsletter — what matters in science, free to your inbox daily. Email address Sign up I agree my information will be processed in accordance with ...
When considering a time frame of millions of years, changes of thickness or density of adjacent bodies, uplift movements, as well as space-time dynamics of underwater sea depth (bathymetry) and sea level (eustasy) can also contribute to the formation and evolution of these basins. The study ...
and mutual-regulation of gene expression and independently of the ratios of the timescales governing the dynamics. The method is also used to study the first-passage time distribution of promoter switching, the sensitivity of the size of protein number fluctuations to parameter perturbation and the ...
Holimap: an accurate and efficient method for solving stochastic gene network dynamics Article Open access 02 August 2024 Data availability The authors declare that the data supporting this study are available within the paper. Source data are provided with this paper. Code availability A PyTorch...