87 citations · 221 across the 37 of their papers we have counts for
12 papers · 1 filter
Nonlocal Hamiltonian Dynamics on Sparse Lévy Graphs: Spectral Analysis and Multimodal Sampling
Miaolei Zheng, Ting Gao, Jinqiao Duan
We develop a sparse graph method for transporting probability mass toward multimodal target distributions through damped nonlocal Hamiltonian dynamics. The formulation combines log…
Geometric Methods for Stochastic Dynamical Systems: A Concise Introduction
Jinqiao Duan, Ting Gao, Qiao Huang +1
There is growing interest in stochastic dynamics in the applied mathematics, interdis-ciplinary science, and artificial intelligence communities. This book is written primarilyfor…
Adaptive control for multi-scale stochastic dynamical systems with stochastic next generation reservoir computing
Jiani Cheng, Ting Gao, Jinqiao Duan
The rapid advancement of neuroscience and machine learning has established data-driven stochastic dynamical system modeling as a powerful tool for understanding and controlling hig…
Critical Transitions in Interacting Particle Systems: An Onsager-Machlup Action Functional Framework
Jianyu Chen, Ting Gao, Galina Strelkova +1
This paper establishes an indirect approximation theorem for the most probable transition pathway of a stochastic interacting particle system in the mean-field framework. This pape…
Action Functional as an Early Warning Indicator in the Space of Probability Measures via Schrödinger Bridge
Peng Zhang, Ting Gao, Jin Guo +1
Critical transitions and tipping phenomena between two meta-stable states in stochastic dynamical systems are a significant scientific issue. In this work, we expand the methodolog…
Fourier neural operator based fluid-structure interaction for predicting the vesicle dynamics
Wang Xiao, Ting Gao, Kai Liu +2
Solving complex fluid-structure interaction (FSI) problems, characterized by nonlinear partial differential equations, is crucial in various scientific and engineering applications…
Reservoir Computing with Error Correction: Long-term Behaviors of Stochastic Dynamical Systems
Cheng Fang, Yubin Lu, Ting Gao +1
The prediction of stochastic dynamical systems and the capture of dynamical behaviors are profound problems. In this article, we propose a data-driven framework combining Reservoir…
Detecting the maximum likelihood transition path from data of stochastic dynamic systems
Min Dai, Ting Gao, Yubin Lu +2
In recent years, the discovery of complex dynamic systems in various fields through data-driven methods has attracted widespread attention. This method has played the role of data…
Dynamical Inference for Transitions in Stochastic Systems with stable Lévy Noise
Ting Gao, Jinqiao Duan, Xingye Kan
A goal of data assimilation is to infer stochastic dynamical behaviors with available observations. We consider transition phenomena between metastable states for a stochastic syst…
Quantifying model uncertainty in non-Gaussian dynamical systems with observations on mean exit time or escape probability
Ting Gao, Jinqiao Duan
Complex systems are sometimes subject to non Gaussian alpha stable Levy fluctuations. A new method is devised to estimate this uncertain parameter and other system parameters, usin…
Non-Gaussian dynamics of a tumor growth system with immunization
Mengli Hao, Ting Gao, Jinqiao Duan +1
This paper is devoted to exploring the effects of non-Gaussian fluctuations on dynamical evolution of a tumor growth model with immunization, subject to non-Gaussian α-stable type…
Mean Exit Time and Escape Probability for a Tumor Growth System under Non-Gaussian Noise
Jian Ren, Chujin Li, Ting Gao +2
Effects of non-Gaussian stable Lévy noise on the Gompertz tumor growth model are quantified by considering the mean exit time and escape probability of the cancer cell density…