5 citations · 11 across the 8 of their papers we have counts for
8 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…
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…
Asymptotic Theory of -Regularized PDE Identification from a Single Noisy Trajectory
Yuchen He, Namjoon Suh, Xiaoming Huo +2
We prove the support recovery for a general class of linear and nonlinear evolutionary partial differential equation (PDE) identification from a single noisy trajectory using $\ell…
Silhouette Vectorization by Affine Scale-space
Yuchen He, Sung Ha Kang, Jean-Michel Morel
Silhouettes or 2D planar shapes are extremely important in human communication, which involves many logos, graphics symbols and fonts in vector form. Many more shapes can be extrac…
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…
Curvature Regularized Surface Reconstruction from Point Cloud
Yuchen He, Sung Ha Kang, Hao Liu
We propose a variational functional and fast algorithms to reconstruct implicit surface from point cloud data with a curvature constraint. The minimizing functional balances the di…
Fast Algorithms for Surface Reconstruction from Point Cloud
Yuchen He, Martin Huska, Sung Ha Kang +1
We consider constructing a surface from a given set of point cloud data. We explore two fast algorithms to minimize the weighted minimum surface energy in [Zhao, Osher, Merriman an…
Lattice Identification and Separation: Theory and Algorithm
Yuchen He, Sung Ha Kang
Motivated by lattice mixture identification and grain boundary detection, we present a framework for lattice pattern representation and comparison, and propose an efficient algorit…