Projects per year
Personal profile
Chinese Name
劉皓
Biography
Dr. Hao Liu is an assistant professor in Hong Kong Baptist University. Dr. Liu received the Bachelor degree in applied and computational mathematics from Hong Kong Baptist University in 2014, and the PhD degree in applied mathematics from The Hong Kong University of Science and Technology in 2018. Before joined HKBU, he was a postdoc at Georgia Institute of Technology.
Research Interests
machine learning, deep learning theory, operator-splitting methods, image processing, numerical PDEs
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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Dive into the research topics where Hao LIU is active. Topic labels come from the works of this scholar.
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Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Projects
- 2 Active
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Novel Models and Efficient Methods for Surface Reconstruction and Fairing
LIU, H. (PI)
1/01/24 → 31/12/26
Project: Research project
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Deep nonparametric estimation of intrinsic data structures by chart autoencoders: Generalization error and robustness
Liu, H., Havrilla, A., Lai, R. & Liao, W., Jan 2024, In: Applied and Computational Harmonic Analysis. 68, 101602.Research output: Contribution to journal › Journal article › peer-review
1 Citation (Scopus) -
Deep Nonparametric Estimation of Operators between Infinite Dimensional Spaces
Liu, H., Yang, H., Chen, M., Zhao, T. & Liao, W., 24 Jan 2024, In: Journal of Machine Learning Research. 25, p. 1-67 67 p., 24.Research output: Contribution to journal › Journal article › peer-review
Open Access -
Learning Functions Varying along a Central Subspace
Liu, H. & Liao, W., Jun 2024, In: SIAM Journal on Mathematics of Data Science. 6, 2, p. 343-371 29 p.Research output: Contribution to journal › Journal article › peer-review
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PottsMGNet: A Mathematical Explanation of Encoder-Decoder Based Neural Networks
Tai, X., Liu, H. & Chan, R., Mar 2024, In: SIAM Journal on Imaging Sciences. 17, 1, p. 540-594 55 p.Research output: Contribution to journal › Journal article › peer-review
1 Citation (Scopus) -
Connections Between Operator-Splitting Methods and Deep Neural Networks with Applications in Image Segmentation
Liu, H., Tai, X. C. & Chan, R., Nov 2023, In: Annals of Applied Mathematics. 39, 4, p. 406-428 23 p.Research output: Contribution to journal › Journal article › peer-review
Open Access