Scholar
Juncai He
Google Scholar ID: CG5GBW0AAAAJ
Assistant Professor, Yau Mathematical Sciences Center, Tsinghua University
Citations & Impact
Citations
921
H-index
11
i10-index
13
Publications
20
Co-authors
12
list available
Publications
Resume (English only)
Background
- Currently an Assistant Professor at Yau Mathematical Sciences Center, Tsinghua University.
- Research focuses on mathematical analysis and algorithm development in machine learning and scientific computing, spanning both data and physical sciences.
- Ph.D. training was grounded in classical numerical methods for partial differential equations (PDEs), especially finite element methods (FEM) and multigrid methods.
- Primary research objective is to explore deep learning models and algorithms through the lens of numerical PDEs and geometry, aiming to advance theoretical foundations, algorithmic strategies, and practical applications.
- Main research themes include: mathematical analysis of deep neural networks (DNNs) from a finite element perspective; theory, algorithms, and applications for CNNs and Transformers inspired by multigrid structures; and learning of data with low-dimensional structures.
