朱亦哲 Yizhe Zhu

I obtained Ph.D. in Mathematics from the University of California, San Diego in 2021. My advisor is Ioana Dumitriu. I obtained my Bachelor's degree in Mathematics and Applied Mathematics from Shanghai Jiao Tong University. My CV is here.


Email: yiz084[at]ucsd.edu


Research Interests

I am interested in probability, combinatorics, and their application in data science. I am working on:

  • Random matrices, random graphs

  • Random tensors, random hypergraphs

  • Community detection, tensor completion

[Google Scholar profile]

Papers

  1. Deterministic tensor completion with hypergraph expanders, with Kameron Decker Harris, SIAM Journal on Mathematics of Data Science, to appear.

  2. Spectra of random regular hypergraphs, with Ioana Dumitriu, Electronic Journal of Combinatorics, to appear.

  3. Sparse random tensors: Concentration, regularization and applications, with Zhixin Zhou, Electronic Journal of Statistics, 15(1): 2483-2516, 2021. [journal]

  4. Community detection in the sparse hypergraph stochastic block model, with Soumik Pal, Random Structures and Algorithms, 2021. [journal]

  5. Asymptotic behavior of a sequence of conditional probability distributions and the canonical ensemble, with Yu-Chen Cheng and Hong Qian, Annales Henri Poincaré, 22, 1561–1627, 2021. [journal]

  6. Eigenvalues of the non-backtracking operator detached from the bulk, with Simon Coste, Random Matrices: Theory and Applications, 2020. [journal]

  7. Exact recovery in the hypergraph stochastic block model: A spectral algorithm, with Sam Cole, Linear Algebra and its Applications, 593, 45-73, 2020. [journal]

  8. A graphon approach to limiting spectral distributions of Wigner-type matrices, Random Structures and Algorithms, 56(1), 251– 279, 2020. [journal]

  9. Sparse general Wigner-type matrices: Local law and eigenvector delocalization, with Ioana Dumitriu, Journal of Mathematical Physics, 60(2), 023301, 2019. [journal]

Preprints

  1. Global eigenvalue fluctuations of random biregular bipartite graphs, with Ioana Dumitriu, submitted, 2020.

  2. On the second eigenvalue of random bipartite biregular graphs, submitted, 2020.