# Xiuyuan Cheng

- Assistant Professor of Mathematics

**External address:**120 Science Drive, 293 Physics Building, Durham, NC 27708

**Internal office address:**120 Science Drive, P.O. Box 90320, Durham, NC 27708

##### Links

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

### Selected Grants

CDS&E: Structure-aware Representation Learning using Deep Networks awarded by National Science Foundation (Principal Investigator). 2018 to 2021

Collaborative Research: Geometric Analysis and Computation of Generative Models awarded by National Science Foundation (Principal Investigator). 2018 to 2021

Cheng, X, Rachh, M, and Steinerberger, S. "On the diffusion geometry of graph Laplacians and applications(Accepted)." *Applied and Computational Harmonic Analysis* 46.3 (May 2019): 674-688.
Full Text

Cheng, X, Mishne, G, and Steinerberger, S. "The geometry of nodal sets and outlier detection." *Journal of Number Theory* 185 (April 2018): 48-64.
Full Text

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, and Jiang, L. "Prevalence, awareness, treatment, and control of hypertension in China: data from 1·7 million adults in a population-based screening study (China PEACE Million Persons Project)." *The Lancet* 390.10112 (December 2017): 2549-2558.
Full Text

Pragier, G, Greenberg, I, Cheng, X, and Shkolnisky, Y. "A Graph Partitioning Approach to Simultaneous Angular Reconstitution." *Ieee Transactions on Computational Imaging* 2.3 (September 2016): 323-334.
Full Text

Zhang, T, Cheng, X, and Singer, A. "Marčenko–Pastur law for Tyler’s M-estimator." *Journal of Multivariate Analysis* 149 (July 2016): 114-123.
Full Text

Cheng, X, Chen, X, and Mallat, S. "Deep Haar scattering networks." *Information and Inference* 5.2 (June 2016): 105-133.
Full Text

Boumal, N, and Cheng, X. "Concentration of the Kirchhoff index for Erdős–Rényi graphs." *Systems & Control Letters* 74 (December 2014): 74-80.
Full Text

CHENG, XIUYUAN, and SINGER, AMIT. "THE SPECTRUM OF RANDOM INNER-PRODUCT KERNEL MATRICES." *Random Matrices: Theory and Applications* 02.04 (October 2013): 1350010-1350010.
Full Text

E, W, Zhou, X, and Cheng, X. "Subcritical bifurcation in spatially extended systems." *Nonlinearity* 25.3 (March 1, 2012): 761-779.
Full Text

Lin, L, Cheng, X, E, W, Shi, A-C, and Zhang, P. "A numerical method for the study of nucleation of ordered phases." *Journal of Computational Physics* 229.5 (March 2010): 1797-1809.
Full Text

## Pages

Qiu, Q, Cheng, X, Calderbank, AR, and Sapiro, G. "DCFNet: Deep Neural Network with Decomposed Convolutional Filters.": JMLR.org, 2018.

Cheng, X, Shaham, U, Dror, O, Jaffe, A, Nadler, B, Chang, J, and Kluger, Y. "A Deep Learning Approach to Unsupervised Ensemble Learning." The 33rd International Conference on Machine Learning (ICML '16).: PMLR, June 2016.

Chen, X, Cheng, X, and Mallat, S. "Unsupervised Deep Haar Scattering on Graphs." 2014.

Yan, B, Sarkar, P, and Cheng, X. "Provable estimation of the number of blocks in block models.": PMLR,.

The Alfred P. Sloan Foundation congratulates the winners of the 2019 Sloan Research Fellowships. These 126 early-career scholars represent the most promising scientific researchers working today. Their achievements and potential place them among the... read more »