66 citations · 375 across the 33 of their papers we have counts for
6 papers · 1 filter
Fourier Features for Identifying Differential Equations (FourierIdent)
Mengyi Tang, Hao Liu, Wenjing Liao +1
We investigate the benefits and challenges of utilizing the frequency information in differential equation identification. Solving differential equations and Fourier analysis are c…
Group projected Subspace Pursuit for Identification of variable coefficient differential equations (GP-IDENT)
Yuchen He, Sung-Ha Kang, Wenjing Liao +2
We propose an effective and robust algorithm for identifying partial differential equations (PDEs) with space-time varying coefficients from a single trajectory of noisy observatio…
WeakIdent: Weak formulation for Identifying Differential Equations using Narrow-fit and Trimming
Mengyi Tang, Wenjing Liao, Rachel Kuske +1
Data-driven identification of differential equations is an interesting but challenging problem, especially when the given data are corrupted by noise. When the governing differenti…
Numerical Identification of Nonlocal Potential in Aggregation
Yuchen He, Sung Ha Kang, Wenjing Liao +2
Aggregation equations are broadly used to model population dynamics with nonlocal interactions, characterized by a potential in the equation. This paper considers the inverse probl…
Robust Identification of Differential Equations by Numerical Techniques from a Single Set of Noisy Observation
Yuchen He, Sung Ha Kang, Wenjing Liao +2
We propose robust methods to identify underlying Partial Differential Equation (PDE) from a given set of noisy time dependent data. We assume that the governing equation is a linea…
IDENT: Identifying Differential Equations with Numerical Time evolution
Sung Ha Kang, Wenjing Liao, Yingjie Liu
Identifying unknown differential equations from a given set of discrete time dependent data is a challenging problem. A small amount of noise can make the recovery unstable, and no…