# 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

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

### Selected Grants

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

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

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.
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Cheng, X, Mishne, G, and Steinerberger, S. "The geometry of nodal sets and outlier detection." *Journal of Number Theory* (October 2017).
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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.
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Zhang, T, Cheng, X, and Singer, A. "Marčenko–Pastur law for Tyler’s M-estimator." *Journal of Multivariate Analysis* 149 (July 2016): 114-123.
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Cheng, X, Chen, X, and Mallat, S. "Deep Haar scattering networks." *Information and Inference* 5.2 (June 2016): 105-133.
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Boumal, N, and Cheng, X. "Concentration of the Kirchhoff index for Erdős–Rényi graphs." *Systems & Control Letters* 74 (December 2014): 74-80.
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CHENG, XIUYUAN, and SINGER, AMIT. "The Spectrum of Random Inner-product Kernel Matrices." *Random Matrices: Theory and Applications* 02.04 (October 2013): 1350010-1350010.
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E, W, Zhou, X, and Cheng, X. "Subcritical bifurcation in spatially extended systems." *Nonlinearity* 25.3 (March 1, 2012): 761-779.
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Cheng, X, Lin, L, E, W, Zhang, P, and Shi, A-C. "Nucleation of Ordered Phases in Block Copolymers." *Physical Review Letters* 104.14 (April 2010).
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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.
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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." The 27th International Conference on Neural Information (NIPS '14). 2014.