B.A., Mathematical Statistics, June 2014, Chongqing University, Chongqing, China
M.A., Statistics, Feb 2016, Columbia University, New York, USA
Ph.D., Mathematics, Aug 2016 - Current, Georgia Institute of Technology, Georgia, USA
I am interested in mathematical modeling for real-life problems.
Mathematical approaches to image processing: image denoising, segmentation, color image processing, point-cloud surface reconstruction, pattern analysis, etc.
Data-driven modeling: deep learning, differential equation reconstruction, model selection, statistical test, natural language processing etc.
Computer graphics and computer vision.
Variational analysis, stochastic analysis, numerical analysis, differential geometry, and geometrical color theory.
Yuchen He, Sung Ha Kang, Wenjing Liao, Hao Liu, and Yingjie Liu. Rules of Interaction from Noisy
Observations: Investigate the Collective Behaviors by Potential in Aggregation Equation. (in preparation)
Yuchen He, Sung Ha Kang, Jean-Michel Morel. Silhouette Vectorization based on Affine Scale-space.
arXiv preprint arXiv: 2007.12117. 2020 Jul 23. (submitted)
Yuchen He. Adaptive-world Underwater Image Color Correction. (in preparation)
Yuchen He, Sung Ha Kang, Wenjing Liao, Hao Liu, and Yingjie Liu. Robust PDE Identification from
Noisy Data. arXiv preprint arXiv:2006.06557. 2020 Jun 11. (submitted)
Benjamin Ide, Yuchen He, Sung Ha Kang, Rustom Anita, Veronika Zarnitsyna. A Delay Differential Equation Model for the Germinal Center Reaction. (in preparation)
Yuchen He, Sung Ha Kang, and Hao Liu. Curvature Regularized Surface Reconstruction from Point
Cloud. SIAM Journal on Imaging Sciences. 2020 Jul 25. (accepted)
Yuchen He, Martin Huska, Sung Ha Kang, and Hao Liu. Fast Algorithms for Surface Reconstruction from Point Cloud. International Workshop On Image Processing and Inverse Problems (IPIP 2018),
CSRC, Beijing, China. 2020 March.
Yuchen He, Sung Ha Kang, and Luis Alvarez. Finding the skeleton of 2D shape and contours:
implementation of Hamilton-Jacobi Skeleton. Image Processing On Line (IPOL). 2020 Feb. (preprint)
Yuchen He, Sung Ha Kang. Lattice Metric Space Application to Grain Defect Detection. In Proceedings
of Scale Space and Variational Methods in Computer Vision (SSVM), 2019 Jun 30 (pp.381-392). Springer, Cham. (double-blind peer reviewed)
Yuchen He, Sung Ha Kang. Lattice Identification and Separation: Theory and Algorithm. SIAM Journal
on Imaging Sciences, 2019; 12(4): 2063-96.
Maleki A, Swan RT, Silpa-Archa S, Preble JM, He Y, Foster CS. Short-wavelength automated perimetry parameters at baseline and following remission in patients with birdshot retinochoroidopathy. American Journal of Ophthalmology. 2016;163:83. e6-92.e6.
Projects in Progress
(with Sung Ha Kang, Xiaoming Huo (ISYE, Gatech), and Yajun Mei (ISYE, Gatech), Namjoon Suh (ISYE, Gatech)) Statistical analysis on differential equation reconstruction from data.
(with Sung Ha Kang, Jean-Michel Morel) Color image vectorization.
Conferences and Workshops
Seventh International Conference on Scale Space and Variational Methods in Computer Vision. Hofgeismar, Germany. July 2019. (Poster)
2019 Georgia Scientific Computing Symposium, Georgia Institute of Technology, Atlanta, GA, USA. February 2019. (Poster)
Winter school on "The Mathematics of Imaging". Institut Henri Poincaré, Centre International de Rencontres Mathématiques, Marseille, France. 7-11 January 2019.