# 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

Sloan Foundation Fellowship for Xiuyuan Cheng in Mathematics awarded by Alfred P. Sloan Foundation (Principal Investigator). 2019 to 2021

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, Xiuyuan, et al. “On the diffusion geometry of graph Laplacians and applications.” *Applied and Computational Harmonic Analysis*, vol. 46, no. 3, Elsevier BV, May 2019, pp. 674–88. *Crossref*, doi:10.1016/j.acha.2018.04.001.
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Cheng, Xiuyuan, et al. “The geometry of nodal sets and outlier detection.” *Journal of Number Theory*, vol. 185, Elsevier BV, Apr. 2018, pp. 48–64. *Crossref*, doi:10.1016/j.jnt.2017.09.021.
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Lu, Jiapeng, et al. “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*, vol. 390, no. 10112, Elsevier BV, Dec. 2017, pp. 2549–58. *Crossref*, doi:10.1016/s0140-6736(17)32478-9.
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Pragier, Gabi, et al. “A Graph Partitioning Approach to Simultaneous Angular Reconstitution.” *Ieee Transactions on Computational Imaging*, vol. 2, no. 3, Institute of Electrical and Electronics Engineers (IEEE), Sept. 2016, pp. 323–34. *Crossref*, doi:10.1109/tci.2016.2557076.
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Zhang, Teng, et al. “Marčenko–Pastur law for Tyler’s M-estimator.” *Journal of Multivariate Analysis*, vol. 149, Elsevier BV, July 2016, pp. 114–23. *Crossref*, doi:10.1016/j.jmva.2016.03.010.
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Cheng, Xiuyuan, et al. “Deep Haar scattering networks.” *Information and Inference*, vol. 5, no. 2, Oxford University Press (OUP), June 2016, pp. 105–33. *Crossref*, doi:10.1093/imaiai/iaw007.
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Boumal, Nicolas, and Xiuyuan Cheng. “Concentration of the Kirchhoff index for Erdős–Rényi graphs.” *Systems & Control Letters*, vol. 74, Elsevier BV, Dec. 2014, pp. 74–80. *Crossref*, doi:10.1016/j.sysconle.2014.10.006.
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CHENG, X. I. U. Y. U. A. N., and A. M. I. T. SINGER. “The Spectrum of Random Inner-product Kernel Matrices.” *Random Matrices: Theory and Applications*, vol. 02, no. 04, Oct. 2013, pp. 1350010–1350010. *Manual*, doi:10.1142/S201032631350010X.
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E, Weinan, et al. “Subcritical bifurcation in spatially extended systems.” *Nonlinearity*, vol. 25, no. 3, IOP Publishing, Mar. 2012, pp. 761–79. *Crossref*, doi:10.1088/0951-7715/25/3/761.
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Lin, Ling, et al. “A numerical method for the study of nucleation of ordered phases.” *Journal of Computational Physics*, vol. 229, no. 5, Elsevier BV, Mar. 2010, pp. 1797–809. *Crossref*, doi:10.1016/j.jcp.2009.11.009.
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## Pages

Qiu, Qiang, et al. “DCFNet: Deep Neural Network with Decomposed Convolutional Filters..” *Icml*, edited by Jennifer G. Dy and Andreas Krause, vol. 80, PMLR, 2018, pp. 4195–204.

Cheng, X., et al. “A Deep Learning Approach to Unsupervised Ensemble Learning.” *Proceedings of the 33rd International Conference on Machine Learning*, vol. 48, PMLR, 2016, pp. 30–39.

Chen, Xu, et al. “Unsupervised Deep Haar Scattering on Graphs..” *Advances in Neural Information Processing Systems 27*, edited by Zoubin Ghahramani et al., 2014, pp. 1709–17.

Yan, Bowei, et al. “Provable estimation of the number of blocks in block models.” *Proceedings of the Twenty First International Conference on Artificial Intelligence and Statistics (Aistats’18)*, vol. 84, PMLR, pp. 1185–94.

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 »