309 Academic Research Building
265 South 37th Street
Philadelphia, PA 19104
Research Interests: Random matrix theory, random graphs, interacting particle systems, optimization of deep neural networks, posterior sampling, and uncertainty quantification of large scale inverse problems.
Links: Personal Website, Google Scholar
Ph.D. in Mathematics, Harvard University, 2019
Advisors: Horng-Tzer Yau
B.S. in Mathematics, Massachusetts Institute of Technology, 2014
B.S. in Computer Science and Technology, Tsinghua University, 2011
Simons Junior Fellow (Postdoc Associate), Courant Institute of Mathematical Sciences, New York University, 2020-2022
Member, Institute for Advanced Study, 2019-2020
Yifan Chen, Daniel Zhengyu Huang, Jiaoyang Huang, Sebastian Reich, Andrew M Stuart (2024), Efficient, Multimodal, and Derivative-Free Bayesian Inference With Fisher-Rao Gradient Flows, , 40 (12).
Amol Aggarwal and Jiaoyang Huang (2024), Edge Rigidity of Dyson Brownian Motion with General Initial Data, Electronic Journal of Probability, 29 (), pp. 1-62.
Vadim Gorin and Jiaoyang Huang (2024), Dynamical Loop Equation, The Annals of Probability, 52 (5), pp. 1758-1863.
Jiaoyang Huang (2024), Asymptotics of Generalized Bessel Functions and Weight Multiplicities via Large Deviations of Radial Dunkl Processes, Probability Theory and Related Fields, 190 (), pp. 941-1006.
Jiaoyang Huang, Fan Yang, Lingfu Zhang (2024), Pearcey universality at cusps of polygonal lozenge tiling, Communications on Pure and Applied Mathematics, 77 (9), pp. 3708-3784.
Alice Guionnet and Jiaoyang Huang (2023), Large Deviations Asymptotics of Rectangular Spherical Integral, Journal of Functional Analysis, 285 (11), pp. 110-144.
Jiaoyang Huang (2023), Edge Statistics for Lozenge Tilings of Polygons, I: Concentration of Height Function on Strip Domains, Probability Theory and Related Fields, 188 (), pp. 337-485.
Jiaoyang Huang and Horng-Tzer Yau (2023), Spectrum of Random d-Regular Graphs up to the Edge, Communications on Pure and Applied Mathematics, 77 (3), pp. 1635-1723.
Kenji Kawaguchi, Zhun Deng, Xu Ji, Jiaoyang Huang (2023), How Does Information Bottleneck Help Deep Learning?, Proceedings of the 40th International Conference on Machine Learning (ICML), 202 ().
Jiaoyang Huang (2022), Invertibility of Adjacency Matrices for Random d-Regular Graphs, Duke Mathematical Journal, 170 (18), pp. 3977-4032.
Independent Study allows students to pursue academic interests not available in regularly offered courses. Students must consult with their academic advisor to formulate a project directly related to the student’s research interests. All independent study courses are subject to the approval of the AMCS Graduate Group Chair.
Measure theoretic foundations, laws of large numbers, large deviations, distributional limit theorems, Poisson processes, random walks, stopping times.
Study under the direction of a faculty member.
Study under the direction of a faculty member. Intended for a limited number ofmathematics majors.
Measure theoretic foundations, laws of large numbers, large deviations, distributional limit theorems, Poisson processes, random walks, stopping times.
Discrete and continuous sample spaces and probability; random variables, distributions, independence; expectation and generating functions; Markov chains and recurrence theory.
Measure theoretic foundations, laws of large numbers, large deviations, distributional limit theorems, Poisson processes, random walks, stopping times.
This seminar will be taken by doctoral candidates after the completion of most of their coursework. Topics vary from year to year and are chosen from advance probability, statistical inference, robust methods, and decision theory with principal emphasis on applications.