6 papers
Hidden Phase Transition in Single-Polymer Stretching under Elongational Flow
Aiqing Zhu, Fushuai Wang, Eleonore Vissol-Gaudin +2
Using machine learning, we identify a second transition in polymer chain stretching driven by planar elongational flow, beyond the well-known coil-stretch transition. We achieve th…
Entropy Production for Stationary Diffusions on Hilbert Spaces
Zhuoyuan Li, Yue Zhao, Aiqing Zhu
We study entropy production for stationary diffusions on separable Hilbert spaces with possibly degenerate, state-dependent trace-class covariance. We first define the reversible--…
Hypothesis-driven construction of mesoscopic dynamics
Zhuoyuan Li, Aiqing Zhu, Qianxiao Li
Traditional scientific modeling typically begins with fixed, instance-wise effective equations and then carries out equation-specific analysis and computation, a procedure that bec…
Identifiable learning of dissipative dynamics
Aiqing Zhu, Beatrice W. Soh, Grigorios A. Pavliotis +1
Complex dissipative systems appear across science and engineering, from polymers and active matter to learning algorithms. These systems operate far from equilibrium, where energy…
Continuity-Preserving Convolutional Autoencoders for Learning Continuous Latent Dynamical Models from Images
Aiqing Zhu, Yuting Pan, Qianxiao Li
Continuous dynamical systems are cornerstones of many scientific and engineering disciplines. While machine learning offers powerful tools to model these systems from trajectory da…
DynGMA: a robust approach for learning stochastic differential equations from data
Aiqing Zhu, Qianxiao Li
Learning unknown stochastic differential equations (SDEs) from observed data is a significant and challenging task with applications in various fields. Current approaches often use…