12 citations · 36 across the 9 of their papers we have counts for
9 papers
Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise
Liya Guo, Liwei Lu, Zhijun Zeng +2
With the rapid increase of observational, experimental and simulated data for stochastic systems, tremendous efforts have been devoted to identifying governing laws underlying the…
Reconstruction of dynamical systems from data without time labels
Zhijun Zeng, Pipi Hu, Chenglong Bao +2
In this paper, we study the method to reconstruct dynamical systems from data without time labels. Data without time labels appear in many applications, such as molecular dynamics,…
Weak Collocation Regression method: fast reveal hidden stochastic dynamics from high-dimensional aggregate data
Liwei Lu, Zhijun Zeng, Yan Jiang +2
Revealing hidden dynamics from the stochastic data is a challenging problem as randomness takes part in the evolution of the data. The problem becomes exceedingly complex when the…
BI-GreenNet: Learning Green's functions by boundary integral network
Guochang Lin, Fukai Chen, Pipi Hu +4
Green's function plays a significant role in both theoretical analysis and numerical computing of partial differential equations (PDEs). However, in most cases, Green's function is…
Traveling edge states in massive Dirac equations along slowly varying edges
Pipi Hu, Peng Xie, Yi Zhu
Topologically protected wave motion has attracted considerable interest due to its novel properties and potential applications in many different fields. In this work, we study edge…
BINet: Learning to Solve Partial Differential Equations with Boundary Integral Networks
Guochang Lin, Pipi Hu, Fukai Chen +4
We propose a method combining boundary integral equations and neural networks (BINet) to solve partial differential equations (PDEs) in both bounded and unbounded domains. Unlike e…
Peierls-Nabarro barrier effect in nonlinear Floquet topological insulators
Mark J. Ablowitz, Justin T. Cole, Pipi Hu +1
The Peierls-Nabarro barrier is a discrete effect that frequently occurs in discrete nonlinear systems. A signature of the barrier is the slowing and eventual stopping of discrete s…
Revealing hidden dynamics from time-series data by ODENet
Pipi Hu, Wuyue Yang, Yi Zhu +1
To derive the hidden dynamics from observed data is one of the fundamental but also challenging problems in many different fields. In this study, we propose a new type of interpret…
Linear and nonlinear electromagnetic waves in modulated honeycomb media
Pipi Hu, Liu Hong, Yi Zhu
Wave dynamics in topological materials has been widely studied recently. A striking feature is the existence of robust and chiral wave propagations that have potential applications…