Scholars@Duke

• Background
• 

  Education, Training, & Certifications

  • Ph.D., Princeton University 2013
• 

  Duke Appointment History

  • Scholar In Residence of Mathematics, Mathematics, Trinity College of Arts & Sciences 2017
• 

  Academic Positions Outside Duke

  • Gibbs Assistant Professor, Yale University. 2015 - 2017
• Research
• 

  Selected Grants

  • CDS&E: Structure-aware Representation Learning using Deep Networks awarded by  National Science Foundation 2018 - 2021
  • Collaborative Research: Geometric Analysis and Computation of Generative Models awarded by  National Science Foundation 2018 - 2021
• Publications & Artistic Works
• 

  Selected Publications

  • Academic Articles

    • 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, no. 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, no. 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, no. 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, no. 04 (October 2013): 1350010-1350010.  Full Text
    • E, W, Zhou, X, and Cheng, X. "Subcritical bifurcation in spatially extended systems." Nonlinearity 25, no. 3 (March 1, 2012): 761-779.  Full Text
    • Cheng, X, Lin, L, E, W, Zhang, P, and Shi, A-C. "Nucleation of Ordered Phases in Block Copolymers." Physical Review Letters 104, no. 14 (April 2010).  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, no. 5 (March 2010): 1797-1809.  Full Text

  • Conference Papers

    • 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." The 27th International Conference on Neural Information (NIPS '14). 2014.
• Teaching & Mentoring
• 

  Recent Courses

  • MATH 493: Research Independent Study 2018
  • MATH 532: Basic Analysis II 2018
  • MATH 631: Real Analysis 2018
  • MATH 790-90: Minicourse in Advanced Topics 2018
  • MATH 690-40: Topics in Probability Theory 2017
  • STA 690-40: Topics in Probability Theory 2017
• 

  Teaching Activities

  • In Fall 2017, I am teaching the graduate-level course Math 690 Topics in Data Analysis and Computation. I am teaching Math 532 Basic Analysis II in Spring 2018.

Some information on this profile has been compiled automatically from Duke databases and external sources. (Our About page explains how this works.) If you see a problem with the information, please write to Scholars@Duke and let us know. We will reply promptly.