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

Office Location: | 293 Physics |

Office Phone: | (919) 600-2825 |

Email Address: | |

Web Page: | https://services.math.duke.edu/~xiuyuanc/ |

**Teaching (Fall 2018):**

- MATH 631.01,
*REAL ANALYSIS*Synopsis- Gross Hall 318, MWF 03:20 PM-04:10 PM

- MATH 790-90.06,
*MINICOURSE IN ADVANCED TOPICS*Synopsis- Gross Hall 318, MW 04:40 PM-05:55 PM

- MATH 532.01,
*BASIC ANALYSIS II*Synopsis- Physics 205, MW 03:05 PM-04:20 PM

**Education:**Ph.D. Princeton University 2013

**Recent Publications**- Cheng, X; Rachh, M; Steinerberger, S,
*On the diffusion geometry of graph laplacians and applications*, Applied and Computational Harmonic Analysis (April, 2018) [doi] - 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 [doi] - Qiu, Q; Cheng, X; Calderbank, AR; Sapiro, G,
*DCFNet: Deep Neural Network with Decomposed Convolutional Filters.*, edited by Dy, JG; Krause, A, Icml, vol. 80 (2018), pp. 4195-4204, JMLR.org - Lu, J; Lu, Y; Wang, X; Li, X; Linderman, GC; Wu, C; Cheng, X; Mu, L; Zhang, H; Liu, J; Su, M; Zhao, H; Spatz, ES; Spertus, JA; Masoudi, FA; Krumholz, HM; Jiang, L,
*Prevalence, awareness, treatment, and control of hypertension in China: data from 1ยท7 million adults in a population-based screening study (China PEACE Million Persons Project)*, Lancet (London, England), vol. 390 no. 10112 (December, 2017), pp. 2549-2558 [doi] - Pragier, G; Greenberg, I; Cheng, X; Shkolnisky, Y,
*A Graph Partitioning Approach to Simultaneous Angular Reconstitution*, Ieee Transactions on Computational Imaging, vol. 2 no. 3 (September, 2016), pp. 323-334 [doi]

- Cheng, X; Rachh, M; Steinerberger, S,

**Recent Grant Support***CDS&E: Structure-aware Representation Learning using Deep Networks*, National Science Foundation, DMS-NSF-1820827-01, 2018/07-2021/06.*Collaborative Research: Geometric Analysis and Computation of Generative Models*, National Science Foundation, DMS-1818945, 2018/07-2021/06.