11 citations · 17 across the 4 of their papers we have counts for
4 papers
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…
On Deep Generative Models for Approximation and Estimation of Distributions on Manifolds
Biraj Dahal, Alex Havrilla, Minshuo Chen +2
Generative networks have experienced great empirical successes in distribution learning. Many existing experiments have demonstrated that generative networks can generate high-dime…
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…
Deep Nonparametric Estimation of Operators between Infinite Dimensional Spaces
Hao Liu, Haizhao Yang, Minshuo Chen +2
Learning operators between infinitely dimensional spaces is an important learning task arising in wide applications in machine learning, imaging science, mathematical modeling and…