87 citations · 221 across the 37 of their papers we have counts for
8 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…
History-Conditioned Inference of Memory and Stochastic Forcing in Generalized Langevin Equations under Lévy Noise
Yang Yang, Ting Gao, Xiaoli Chen
We consider the identification of memory and stochastic forcing in a one-dimensional generalized Langevin equation with state-dependent Brownian noise and optional additive symmetr…
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…
Joint Discovery of Graph Structure and Dynamics in Stochastic Interacting Particle Systems
Demao Liu, Ting Gao, Jinqiao Duan
We study the joint identification of network structure and governing dynamics in stochastic interacting particle systems, which consist of an unknown directed weighted interaction…
Efficient Encrypted Computation in Convolutional Spiking Neural Networks with TFHE
Longfei Guo, Pengbo Li, Ting Gao +3
With the rapid advancement of AI technology, we have seen more and more concerns on data privacy, leading to some cutting-edge research on machine learning with encrypted computati…
Beyond Distance: Quantifying Point Cloud Dynamics with Persistent Homology and Dynamic Optimal Transport
Yixin Wang, Ting Gao, Jinqiao Duan
We introduce a framework for analyzing topological tipping in time-evolutionary point clouds by extending the recently proposed Topological Optimal Transport (TpOT) distance. While…
Predicting the onset of period-doubling bifurcations via dominant eigenvalue extracted from autocorrelation
Zhiqin Ma, Chunhua Zeng, Ting Gao +1
Predicting the occurrence of transitions in the qualitative dynamics of many natural systems is crucial, yet it remains a challenging task. Generic early warning signals like varia…
Early warning prediction: Onsager-Machlup vs Schrödinger
Xiaoai Xu, Yixuan Zhou, Xiang Zhou +2
Predicting critical transitions in complex systems, such as epileptic seizures in the brain, represents a major challenge in scientific research. The high-dimensional characteristi…