Projects per year
Personal profile
Chinese Name
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
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Collaborations and top research areas from the last five years
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A Framework for Mathematical Model-Guided Deep Neural Networks in Image Processing
LIU, H. (PI)
1/01/26 → 31/12/28
Project: Research project
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A Study on Deep Learning Methods for Inverse Scattering Problems
FAN, J. (PI), NG, K. P. (CoI), LIU, H. (CoI), ZHANG, Y. (CoI), Wang, Y. (PI), Zhang, Q. (CoI), Lee, W. (CoI), Zhang, J. (CoI) & Zhang, R. (CoI)
1/05/25 → 30/04/28
Project: Research project
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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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WG-IDENT: Weak group identification of PDEs with varying coefficients
Tang, C., He, R. Y. & Liu, H., 15 Jan 2026, In: Journal of Computational Physics. 545, 34 p., 114454.Research output: Contribution to journal › Journal article › peer-review
Open Access -
A Mathematical Explanation of Unet
Tai, X.-C., Liu, H., Chan, R. H. & Li, L., Oct 2025, In: Mathematical Foundations of Computing. 8, 5, p. 874-889 16 p.Research output: Contribution to journal › Journal article › peer-review
Open Access5 Citations (Scopus) -
Coefficient-to-Basis Network: A fine-tunable operator learning framework for inverse problems with adaptive discretizations and theoretical guarantees
Zhang, Z., Liu, H., Liao, W. & Lin, G., 25 Sept 2025, In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 383, 2305, 20240054.Research output: Contribution to journal › Journal article › peer-review
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Deep convolutional neural networks meet variational shape compactness priors for image segmentation
Zhang, K., Li, L., Liu, H., Yuan, J. & Tai, X. C., 28 Mar 2025, In: Neurocomputing. 623, 17 p., 129395.Research output: Contribution to journal › Journal article › peer-review
2 Citations (Scopus) -
Euler's Elastica-Based Cartoon-Smooth-Texture Image Decomposition
He, R. Y. & Liu, H., Mar 2025, In: SIAM Journal on Imaging Sciences. 18, 1, p. 526-569 44 p.Research output: Contribution to journal › Journal article › peer-review
1 Citation (Scopus)