- Assistant Professor of Mathematics
As an applied analyst, I develop theoretical and computational techniques to solve problems in high-dimensional statistics, signal processing and machine learning.
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, Mishne, G, and Steinerberger, S. "The geometry of nodal sets and outlier detection." Journal of Number Theory 185 (April 2018): 48-64. Full Text
Cheng, X, Rachh, M, and Steinerberger, S. "On the diffusion geometry of graph Laplacians and applications." Applied and Computational Harmonic Analysis (April 2018). 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
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
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,.