Embedded Files
Chuan-Shen Hu
Chuan-Shen Hu
chuanshenhu1[at] nuk.edu.tw
chuanshenhu.official [at] gmail.com
Education
Education
Ph.D. in (Applied) Mathematics, National Taiwan Normal University, Taiwan, 2022
M.S. in Mathematics, National Taiwan University, Taiwan, 2012
B.S. in Science (Mathematics), National Taiwan Normal University, Taiwan, 2010
Research Interests
Mathematical artificial intelligence
Applied algebraic topology
Topological data analysis
Applied sheaf theory
Machine learning
Computational commutative algebra and algebraic geometry
Applications of math tools in material and biomolecular science
Publications
Journal Papers
Zetian Mao, Chuan-Shen Hu, Jiawen Li, Chen Liang, Diptesh Das, Masato Sumita, Kelin Xia, and Koji Tsuda. “Molecule graph networks with many-body equivariant interactions.” Journal of Chemical Theory and Computation (2025) (SCIE) [URL]
Rui Wang, Chengrui Qiu, Chuan-Shen Hu, Zhiming Li, and Yuanfang Wu. “Identifying weak critical fluctuations of intermittency in heavy-ion collisions with topological machine learning.” Physics Letters B 864 (2025): 139405. (SCIE) [URL]
Chuan-Shen Hu, Rishikanta Mayengbam, Kelin Xia, and Tze Chien Sum. “Quotient complex (QC)-based machine learning for 2D hybrid perovskite design.” Journal of Chemical Information and Modeling 65.2 (2025): 660-671. (SCIE) [URL]
Chuan-Shen Hu, Rishikanta Mayengbam, Min-Chun Wu, Kelin Xia, and Tze Chien Sum. “Geometric data analysis-based machine learning for two-dimensional perovskite design.” Communications Materials 5.1 (2024): 106. (ESCI) [URL]
Yu-Min Chung, Chuan-Shen Hu, Emily Sun, and Henry C. Tseng. “Morphological multiparameter filtration and persistent homology in mitochondrial image analysis.” PLoS One 19.9 (2024): e0310157. (SCIE) [URL]
Yu-Min Chung, Sarah Day, and Chuan-Shen Hu. “A multi-parameter persistence framework for mathematical morphology.” Scientific Reports 12.1 (2022): 6427. (SCIE) [URL]
Chuan-Shen Hu, Austin Lawson, Jung-Sheng Chen, Yu-Min Chung, Clifford Smyth, and Shih-Min Yang. “TopoResNet: A hybrid deep learning architecture and its application to skin lesion classification." Mathematics 9.22 (2021): 2924. (SCIE) [URL]
Yu-Min Chung, Chuan-Shen Hu, Yu-Lun Lo, and Hau-Tieng Wu. “A persistent homology approach to heart rate variability analysis with an application to sleep-wake classification.” Frontiers in physiology 12 (2021): 637684. (SCIE) [URL]
Chuan-Shen Hu, Yi-Tsung Hsieh, Hsiao-Wei Lin, and Mei-Chen Yeh. “Virtual portraitist: An intelligent tool for taking well-posed selfies.” ACM Transactions on Multimedia Computing, Communications, and Applications (TOMM) 15.1s (2019): 1-17. (SCIE) [URL]
Conference Papers
Liang Huang, Kelin Xia, and Chuan-Shen Hu. “Path Complex Neural Networks for Sequential Process Activities Classification.” Proceedings of the 31st ACM SIGKDD Conference on Knowledge Discovery and Data Mining V. 1. 2025. [URL]
Chuan-Shen Hu, Austin Lawson, Yu-Min Chung, and Kaitlin Keegan. “Two-parameter persistence for images via distance transform.” Proceedings of the IEEE/CVF International Conference on Computer Vision (ICCV) Workshops. 2021. [URL]
Chuan-Shen Hu and Yu-Min Chung. “A sheaf and topology approach to detecting local merging relations in digital images.” Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) Workshops. 2021. [URL]
Chuan-Shen Hu and Mei-Chen Yeh. “A topological data analysis approach to video summarization.” 2019 IEEE International Conference on Image Processing (ICIP). 2019. [URL]
Yu-Min Chung, Chuan-Shen Hu, Austin Lawson, and Clifford Smyth. “Topological approaches to skin disease image analysis.” 2018 IEEE International Conference on Big Data (Big Data). 2018. [URL]
Submitted Papers
Chuan-Shen Hu, Xiang Liu, and Kelin Xia. A Physics-informed Sheaf Model. [URL]
Xinyu You, Xiang Liu, Chuan-Shen Hu, Kelin Xia, and Tze Chien Sum. Quotient Complex Transformer (QCformer) for Perovskite Data Analysis.
Dhruv Meduri, Chuan-Shen Hu, Cong Shen, Kelin Xia, and Bei Wang. Mapping Chemical Space: AI-Enhanced Topological Analysis with Mapper.
Chuan-Shen Hu, Yu-Min Chung, and Kaitlin Keegan. Building Topological Filtrations from Morphological Opening and Closing: Investigating Conditions and Applications in Firn Data Analysis.
Chuan-Shen Hu. Locating Topological Structures in Digital Images via Local Homology. [URL]
Chuan-Shen Hu and Yu-Min Chung. On the Conditions of Absorption Property for Morphological Opening and Closing. [URL]
Chuan-Shen Hu. A Brief Note for Sheaf Structures on Posets. [URL]
Employment
Employment
(February 2026 – ) Assistant professor, Department of Applied Mathematics, National University of Kaohsiung, Taiwan
(August 2025 – January 2026) Postdoctoral research fellow, Department of Mathematics, National Central University, Taiwan
(May 2022 – June 2025) Postdoctoral research fellow, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore
Presentations
Presentations
(2025.01.10) Presentation at the conference "AMS Special Session on Topology and Geometry Aspect of Deep Learning'', Joint Mathematics Meetings AMS Special Session (JMM 2025). Topology-Enhanced Deep Learning Architectures: Applications in Image and Molecular Data, American Mathematical Society (AMS), Seattle, USA.
(2024.04.10) Invited talk at the conference "IMS-NTU joint workshop on Applied Geometry for Data Sciences'' held at IMS. Quotient Complex (QC)-based Learning Models for Material Data Analysis. Institute for Mathematical Science (IMS), Singapore.
(2024.06.28) Invited talk at the conference "IMS-NTU joint workshop on Biomolecular Topology: Modelling and Data Analysis'' held at IMS. Periodic Geometry and Topology Based Machine Learning Frameworks in Material Design. Institute for Mathematical Science (IMS), Singapore.
(2024.02.29) Invited talk at National Central University. Geometry and Topology in Mathematical AI. Department of Mathematics, National Central University, Taiwan.
(2023.12.22) Invited talk at the conference "Computational Topology and Applications'' held at TSIMF. Periodic Topology on Solar Cell Material Analysis. Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, China.
(2023.11.09) Invited talk at National Central University. Periodic Topology on Solar Cell Material Analysis. Department of Mathematics, National Central University, Taiwan.
(2022.07.05) Invited talk at The 2nd Young Topologist Seminar. Multi-parameter Persistent Homology Arising from Image Processing. Beijing Institute of Mathematical Sciences and Applications (BIMSA), China (Virtual Conference).
(2022.03.17) Invited talk at National Central University. Sheaves and Multi-parameter Persistent Homology Arising from Mathematical Morphology. Department of Mathematics, National Central University, Taiwan.
(2021.10.17) Oral presentation in IEEE/CVF ICCVW 2021. Two-parameter Persistence for Images via Distance Transform. The 1st International Workshop on Topology, Algebra, and Geometry in Computer Vision (TAG-CV 2021), IEEE/CVF International Conference on Computer Vision (ICCV 2021), Virtual Conference.
(2021.06.25) Oral presentation in IEEE/CVF CVPRW 2021. A Sheaf and Topology Approach to Detecting Local Merging Relations in Digital Images. The 6th International Workshop on Differential Geometry in Computer Vision and Machine Learning (DiffCVML 2021), IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR 2021), Virtual Conference.
(2021.05.24) Invited talk in SIAM-DS21. A Multiparameter Persistence Framework for Mathematical Morphology. SIAM Conference on Applications of Dynamical Systems (DS21), Virtual Conference, Virtual Conference.
(2020.12.24) Invited talk in Differential Geometry and Geometric Analysis Seminar. A Bridge Between Mathematical Morphology and Topological Data Analysis. National Center for Theoretical Sciences (NCTS), Taipei, Taiwan.
(2019.09.24) Oral presentation in IEEE ICIP 2019. A Topological Data Analysis Approach to Video Summarization. The 26th IEEE International Conference on Image Processing (ICIP 2019), Taipei, Taiwan.
Tutorials and Lecture Notes
Tutorials and Lecture Notes
The following is a collection of tutorials, lecture notes, and topical notes covering subjects such as mathematics, topological data analysis, image processing, and machine/deep learning. These mathematical lecture notes and materials were written by me and include complete lecture series or seminars, as well as specialized notes focusing on exercises in specific subjects (e.g., sheaf theory, algebraic geometry, algebraic topology). Many of these notes originated from student seminars, teaching assistant courses during my Master's studies at National Taiwan University, PhD studies at National Taiwan Normal University, and group seminars conducted at Nanyang Technological University and the National Central University.
Applied Mathematics
Topological data analysis
Mathematics
Group representation theory
Homological algebra
Sheaf theory
Cellular sheaf dynamics
Machine Learning
Gradient boosting tree (GBT) model demonstration
URL: https://drive.google.com/drive/folders/1wbKMtd5zsD9J8IojQqLPQiVJ9EuZmUjO?usp=sharingt-SNE clustering demonstration
URL: https://drive.google.com/drive/folders/1e9ulgp1nFHgpSj8E5phWiMXZzGjm7Z6J?usp=sharing
Links
Links
Mathematics References
Topological data analysis tools and packages
Gudhi: URL: https://gudhi.inria.fr/
Perseus: URL: https://people.maths.ox.ac.uk/nanda/perseus/
DIPHA: URL: https://github.com/DIPHA/dipha
Machine Learning & Programing
(Youtube channel) Prof. Hung-yi Lee, National Taiwan University:
URL: https://www.youtube.com/channel/UC2ggjtuuWvxrHHHiaDH1dlQ(Kaggle post by Paras Varshney) AlexNet Architecture: A Complete Guide:
URL: https://www.kaggle.com/code/blurredmachine/alexnet-architecture-a-complete-guide(Kaggle post by Aleksey Bilogur) Autoencoders:
URL: https://www.kaggle.com/code/residentmario/autoencoders
Page updated
Google Sites
Report abuse