With the rapid development of AI technology, we have witnessed numerous
...
Early warnings for dynamical transitions in complex systems or
high-dime...
The rapid development of artificial intelligence has brought considerabl...
Stochastic Gumbel graph networks are proposed to learn high-dimensional ...
The prediction of stochastic dynamical systems and the capture of dynami...
Financial applications such as stock price forecasting, usually face an ...
In this work we construct a stochastic contact variational integrator an...
Multiscale stochastic dynamical systems have been widely adopted to
scie...
Many complex real world phenomena exhibit abrupt, intermittent or jumpin...
Recently, extracting data-driven governing laws of dynamical systems thr...
The information detection of complex systems from data is currently
unde...
With the fast development of modern deep learning techniques, the study ...
Transition phenomena between metastable states play an important role in...
Distribution-dependent stochastic dynamical systems arise widely in
engi...
Global climate changes are related to the ocean's store of carbon. We st...
During the COVID-19 pandemic, many institutions have announced that thei...
In this work, we propose a method to learn probability distributions usi...
In this paper, we consider the nonparametric estimation problem of the d...
A class of Hamiltonian stochastic differential equations with multiplica...
The Fokker-Planck (FP) equation governing the evolution of the probabili...
This paper proposes a general symplectic Euler scheme for a class of
Ham...
The emergence of the exit events from a bounded domain containing a stab...
Extracting the governing stochastic differential equation model from elu...
Stochastic differential equations and stochastic dynamics are good model...
Physics-informed neural networks (PINNs) were recently proposed in [1] a...
We devise a simplified parameter estimator for a second order stochastic...
The Kalman filter is extensively used for state estimation for linear sy...