Hao Liu

Orcid: 0000-0002-7504-9859

Affiliations:
  • Georgia Institute of Technology, Department of Mathematics, Atlanta, GA, USA
  • Hong Kong University of Science and Technology, Department of Mathematics, Hong Kong (former)


According to our database1, Hao Liu authored at least 25 papers between 2017 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
PottsMGNet: A Mathematical Explanation of Encoder-Decoder Based Neural Networks.
SIAM J. Imaging Sci., March, 2024

Double-well Net for Image Segmentation.
CoRR, 2024

2023
Elastica Models for Color Image Regularization.
SIAM J. Imaging Sci., March, 2023

Connections between Operator-splitting Methods and Deep Neural Networks with Applications in Image Segmentation.
CoRR, 2023

2022
An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging.
SIAM J. Sci. Comput., 2022

Robust Identification of Differential Equations by Numerical Techniques from a Single Set of Noisy Observation.
SIAM J. Sci. Comput., 2022

Numerical Identification of Nonlocal Potential in Aggregation.
CoRR, 2022

Benefits of Overparameterized Convolutional Residual Networks: Function Approximation under Smoothness Constraint.
CoRR, 2022

Deep Nonparametric Estimation of Operators between Infinite Dimensional Spaces.
CoRR, 2022

2021
A Color Elastica Model for Vector-Valued Image Regularization.
SIAM J. Imaging Sci., 2021

An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications in Surface Smoothing and Imaging.
CoRR, 2021

Besov Function Approximation and Binary Classification on Low-Dimensional Manifolds Using Convolutional Residual Networks.
Proceedings of the 38th International Conference on Machine Learning, 2021

2020
Reinforcement Learning Tracking Control for Robotic Manipulator With Kernel-Based Dynamic Model.
IEEE Trans. Neural Networks Learn. Syst., 2020

Curvature Regularized Surface Reconstruction from Point Clouds.
SIAM J. Imaging Sci., 2020

Doubly Robust Off-Policy Learning on Low-Dimensional Manifolds by Deep Neural Networks.
CoRR, 2020

On the Numerical Solution of Nonlinear Eigenvalue Problems for the Monge-Ampère Operator.
CoRR, 2020

Robust PDE Identification from Noisy Data.
CoRR, 2020

An Alternating Direction Explicit Method for Time Evolution Equations with Applications to Fractional Differential Equations.
CoRR, 2020

Curvature Regularized Surface Reconstruction from Point Cloud.
CoRR, 2020

2019
A Finite Element/Operator-Splitting Method for the Numerical Solution of the Three Dimensional Monge-Ampère Equation.
J. Sci. Comput., 2019

Correction to: A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge-Ampère Equation.
J. Sci. Comput., 2019

A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge-Ampère Equation.
J. Sci. Comput., 2019

Fast Algorithms for Surface Reconstruction from Point Cloud.
CoRR, 2019

Robotic Tracking Control with Kernel Trick-based Reinforcement Learning.
Proceedings of the 2019 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2019

2017
A Level Set Based Variational Principal Flow Method for Nonparametric Dimension Reduction on Riemannian Manifolds.
SIAM J. Sci. Comput., 2017


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