杨帆 - 清华大学 - 丘成桐数学科学中心

个人简介

教育背景 2005-2009 学士清华大学 2010-2014 博士(物理) 香港中文大学 2014-2017 硕士威斯康星大学麦迪逊分校 2017-2019 博士加利福尼亚大学洛杉矶分校工作经历 2022 至今副教授清华大学丘成桐数学科学中心 2019-2022 博士后宾夕法尼亚大学

研究领域

概率和统计，主要关注随机矩阵理论及其在数学物理、高维统计、机器学习等领域内的应用

近期论文

查看导师新发文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

Preprints Debiased regression adjustment in completely randomized experiments with moderately high-dimensional covariates. Xin Lu, Fan Yang and Yuhao Wang, 2023. Preprint, arXiv:2309.02073. Pearcey universality at cusps of polygonal lozenge tiling. With Jiaoyang Huang and Lingfu Zhang, 2023. Preprint, arXiv:2306.01178. SIMPLE-RC: Group network inference with non-sharp nulls and weak signals. With Jianqing Fan, Yingying Fan and Jinchi Lv, 2022. Preprint, arXiv:2211.00128. Bulk universality and quantum unique ergodicity for random band matrices in high dimensions. With Changji Xu, Horng-Tzer Yau and Jun Yin, 2022. Preprint, arXiv:2207.14533. Delocalization and quantum diffusion of random band matrices in high dimensions I: Self-energy renormalization. With Horng-Tzer Yau and Jun Yin, 2021. Preprint, arXiv:2104.12048. Analysis of information transfer from heterogeneous sources via precise high-dimensional asymptotics. Fan Yang, Hongyang R. Zhang, Sen Wu, Weijie J. Su and Christopher Ré, 2021. Preprint, arXiv:2010.11750. Publications Linear spectral statistics of eigenvectors of anisotropic sample covariance matrices. Accepted by Annales de l’Institut Henri Poincaré Probab. Statist. Arxiv Optimally weighted PCA for high-dimensional heteroscedastic data. David Hong, Fan Yang, Jeffrey A. Fessler and Laura Balzano. SIAM Journal on Mathematics of Data Science, Vol. 5 (2023): pp 222-250. Arxiv Delocalization and quantum diffusion of random band matrices in high dimensions II: T-expansion. With Horng-Tzer Yau and Jun Yin. Communications in Mathematical Physics, Vol. 396 (2022): pp 527-622. Arxiv Limiting distribution of the sample canonical correlation coefficients of high-dimensional random vectors. Electronic Journal of Probability, Vol. 27 (2022): paper no. 86, 71 pp. Arxiv Sample canonical correlation coefficients of high-dimensional random vectors with finite rank correlations. With Zongming Ma. Bernoulli, Vol. 29 (2023): pp 1905-1932. Arxiv Tracy-Widom distribution for heterogeneous Gram matrices with applications in signal detection. With Xiucai Ding. IEEE Transactions on Information Theory, Vol. 68 (2022): pp 6682-6715. Arxiv Edge statistics of large dimensional deformed rectangular matrices. With Xiucai Ding. Journal of Multivariate Analysis, Vol. 192 (2022): paper no. 105051. Arxiv Sample canonical correlation coefficients of high-dimensional random vectors: local law and Tracy-Widom limit. Random Matrices: Theory and Applications, Vol. 11 (2022): paper no. 2250007. Arxiv How to reduce dimension with PCA and random projections? Fan Yang, Sifan Liu, Edgar Dobriban, and David P. Woodruff. IEEE Transactions on Information Theory, Vol. 67 (2021): pp 8154-8189. Arxiv Random band matrices in the delocalized phase, III: Averaging fluctuations. With Jun Yin. Probability Theory and Related Fields, Vol. 179 (2021): pp 451–540. Arxiv Spiked separable covariance matrices and principal components. With Xiucai Ding. Annals of Statistics, Vol. 49 (2021): pp 1113-1138. Arxiv Convergence of eigenvector empirical spectral distribution of sample covariance matrices. With Haokai Xi and Jun Yin. Annals of Statistics, Vol. 48 (2020): pp 953-982. Arxiv Random band matrices in the delocalized phase, II: Generalized resolvent estimates. With Paul Bourgade, Horng-Tzer Yau, and Jun Yin. Journal of Statistical Physics, Vol. 174 (2019): pp 1189-1221. Arxiv Edge universality of separable covariance matrices. Electronic Journal of Probability, Vol. 24 (2019): paper no. 123, 57 pp. Arxiv A necessary and sufficient condition for edge universality at the largest singular values of covariance matrices. With Xiucai Ding. Annals of Applied Probability, Vol. 28 (2018): pp 1679-1738. Arxiv Local circular law for the product of a deterministic matrix with a random matrix. With Haokai Xi and Jun Yin. Electronic Journal of Probability, Vol. 22 (2017): paper no. 60, 77 pp. Arxiv Publications (Physics) Geometric diffusion of quantum trajectories. Fan Yang and Ren-Bao Liu. Scientific Reports, Vol. 5 (2015): 12109. Nonlinear optical response induced by non-Abelian Berry curvature in time-reversal-invariant insulators. Fan Yang and Ren-Bao Liu. Phys. Rev. B, Vol. 90 (2014): 245205. Giant Faraday rotation induced by the Berry phase in bilayer graphene under strong terahertz fields. Fan Yang, Xiaodong Xu, and Ren-Bao Liu. New J. Phys., Vol. 16 (2014): 043014. Terahertz electron-hole recollisions in GaAs/AlGaAs quantum wells: robustness to scattering by optical phonons and thermal fluctuations. Hunter Banks, Ben Zaks, Fan Yang, Shawn Mack, Arthur C. Gossard, Renbao Liu, and Mark S. Sherwin. Phys. Rev. Lett., Vol. 111 (2013): 267402. Berry phases of quantum trajectories of optically excited electron-hole pairs in semiconductors under strong terahertz fields. Fan Yang and Ren-Bao Liu. New J. Phys., Vol. 15 (2013): 115005. A note on the definition of fractional derivatives applied in rheology. Fan Yang and Ke-Qin Zhu. Acta Mech. Sin., Vol. 27 (2011): pp 866-876. On the definition of fractional derivatives in rheology. Fan Yang and Ke-Qin Zhu. Theor. Appl. Mech. Lett., Vol. 1 (2011): 012007. Can we obtain a fractional Lorenz system from a physical problem? Fan Yang and Ke-Qin Zhu. Chin. Phys. Lett., Vol. 27 (2010): 124701. Generalized Lorenz equation derived from thermal convection of viscoelastic fluids in a loop. Fan Yang and Ke-Qin Zhu. Chin. Phys. Lett., Vol. 27 (2010): 034601.