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Math @ Duke



Xiuyuan Cheng, Assistant Professor

Xiuyuan Cheng

As an applied analyst, I develop theoretical and computational techniques to solve problems in high-dimensional statistics, signal processing and machine learning.

Contact Info:
Office Location:  120 Science Drive, 293 Physics Building, Durham, NC 27708
Office Phone:  (919) 600-2825
Email Address: send me a message
Web Page:

Teaching (Fall 2021):

    Physics 205, TuTh 01:45 PM-03:00 PM
Teaching (Spring 2022):

  • MATH 532.01, BASIC ANALYSIS II Synopsis
    Physics 227, TuTh 10:15 AM-11:30 AM

Ph.D.Princeton University2013
Recent Publications   (More Publications)

  1. Cheng, X; Cloninger, A; Coifman, RR, Two-sample statistics based on anisotropic kernels, Information and Inference (December, 2019), Oxford University Press (OUP) [doi]  [abs]
  2. Cheng, X; Qiu, Q; Calderbank, R; Sapiro, G, RotDCF: Decomposition of convolutional filters for rotation-equivariant deep networks (May, 2019)  [abs]
  3. Cheng, X; Rachh, M; Steinerberger, S, On the diffusion geometry of graph Laplacians and applications, Applied and Computational Harmonic Analysis, vol. 46 no. 3 (May, 2019), pp. 674-688, Elsevier BV [doi]
  4. Cheng, X; Mishne, G; Steinerberger, S, The geometry of nodal sets and outlier detection, Journal of Number Theory, vol. 185 (April, 2018), pp. 48-64, Elsevier BV [doi]
  5. Yan, B; Sarkar, P; Cheng, X, Provable estimation of the number of blocks in block models, International Conference on Artificial Intelligence and Statistics, Aistats 2018 (January, 2018), pp. 1185-1194  [abs]
Recent Grant Support

  • RTG: Training Tomorrow's Workforce in Analysis and Applications, National Science Foundation, 2021/07-2026/06.      
  • NSF-BSF: Group Invariant Graph Laplacians: Theory and Computations, National Science Foundation, 2020/07-2024/06.      
  • Efficient Methods for Calibration, Clustering, Visualization and Imputation of Large scRNA-seq Data, Yale University, 2019/05-2023/01.      
  • HDR TRIPODS: Innovations in Data Science: Integrating Stochastic Modeling, Data Representation, and Algorithms, National Science Foundation, 2019/10-2022/09.      
  • CDS&E: Structure-aware Representation Learning using Deep Networks, National Science Foundation, DMS-NSF-1820827-01, 2018/07-2022/06.      
  • Collaborative Research: Geometric Analysis and Computation of Generative Models, National Science Foundation, DMS-1818945, 2018/07-2022/06.      
  • Sloan Foundation Fellowship for Xiuyuan Cheng in Mathematics, Alfred P. Sloan Foundation, 2019/09-2021/09. 
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320