Research

Research Interests

• Optimal transport
• Statistical computing
• Statistical machine learning
• AI for healthcare

Publications

• Xiaxue Ouyang, Hao Zheng, Haoxian Liang, Jingyi Zhang, Yixuan Qiu, Cheng Meng, Mengyu Li (Corresponding author) (2026). Sparsification techniques for large‐scale optimal transport problems. Wiley Interdisciplinary Reviews: Computational Statistics. [paper]

• Mengyu Li, Cheng Meng, Xiaodan Fan (2026). Iterative optimal transport for multimodal image registration. Pattern Recognition. [paper] [code]

• Dunyao Xue, Mengyu Li (Corresponding author), Cheng Meng, Jingyi Zhang (2026). Core-elements subsampling for alternating least squares. Journal of Computational and Graphical Statistics. [paper]

• Tao Wang, Mengyu Li (Joint first author), Geduo Zeng, Cheng Meng, Qiong Zhang (2025). Gaussian herding across pens: An optimal transport perspective on global Gaussian reduction for 3DGS. NeurIPS 2025 Spotlight (Top 3%). [paper]

• Mengyu Li, Bencong Zhu, Cheng Meng, Xiaodan Fan (2025). Double optimal transport for differential gene regulatory network inference with unpaired samples. Bioinformatics. [paper] [code]

• Junlie Huang, Xinlai Kang, Qiannan Huang, Mengyu Li, Cheng Meng (2025). Efficient approximation of leverage scores in two-dimensional autoregressive models with application to image anomaly detection. Journal of Computational and Graphical Statistics. [paper]

• Yukuan Hu, Mengyu Li, Xin Liu, Cheng Meng (2025). Sampling-based methods for multi-block optimization problems over transport polytopes. Mathematics of Computation. [paper]

• Mengyu Li, Jun Yu, Tao Li, Cheng Meng (2024). Core-elements for large-scale least squares estimation. Statistics and Computing. (Student Paper Award in 2022 JSM, Sections on Statistical Computing and Graphics). [paper] [code]

• Mengyu Li, Jingyi Zhang, Cheng Meng (2024). Nonparametric additive models for billion observations. Journal of Computational and Graphical Statistics. [paper] [code]

• Xinlai Kang, Mengyu Li, Xuqiang Chen, Fangyu Li, Cheng Meng (2023). A Hausdorff regression paradigm for interval privacy. IEEE Signal Processing Letters. [paper]

• Mengyu Li, Jun Yu, Tao Li, Cheng Meng (2023). Importance sparsification for Sinkhorn algorithm. Journal of Machine Learning Research. (Student Paper Award in 2023 JSM, Statistics in Imaging Section). [paper] [code]

• Mengyu Li, Jun Yu, Hongteng Xu, Cheng Meng (2023). Efficient approximation of Gromov-Wasserstein distance using importance sparsification. Journal of Computational and Graphical Statistics. [paper] [code]

• Mengyu Li, Junlong Zhao (2022). Communication-efficient distributed linear discriminant analysis for binary classification. Statistica Sinica. [paper]