Name: Bai Yang
Professional title: Professor
Research directions: Longitudinal (functional) data analysis; Tensor (non-Euclidean) data analysis; Machine learning methods and applications in complex data analysis (transfer learning, privacy-preserving learning)
Teaching courses: Mathematical Statistics, Introduction to Data Science, Functional Data Analysis Methods, Theory and Application
E-mail: statbyang@mail.shufe.edu.cn; Tel: 65904624
Research Project
| No | Project Name | Project No | Source | Time | Funds(yuan) |
| 1 | Identification and Selection of Model Structure in High-Dimensional Data | 15ZZ035 | Natural Science Research Project of Shanghai Municipal Education Commission | 2015-2017 | 80,000 |
| 2 | Modeling and Application of Complex Economic Data | Innovative Team Project of the Ministry of Education | 2014-2016 | ||
| 3 | Semiparametric modeling and application of longitudinal data based on quadratic inference function and empirical likelihood | 11001162 | National Natural Science Foundation of China Youth Project | 2011-2013 | 160,000 |
| 4 | Semi-parametric modeling of longitudinal data based on quadratic inference functions and empirical likelihood | 无 | Special Fund for Selecting and Training Outstanding Young Teachers in Shanghai Universities | 2011-2012 | 30,000 |
| 5 | Research on Several New Hot Topics in Longitudinal Data Modeling | 11771268 | National Natural Science Foundation of China Regular General Program | 2018-2022 | 450,000 |
Research Field
Longitudinal (functional) data analysis; Tensor (non-Euclidean) data analysis; Machine learning methods and applications in complex data analysis (transfer learning, privacy-preserving learning)
Educational Background
2005/09-2009/08
Doctor of Statistics and Actuarial Science, The University of Hong Kong
2002/09-2005/07
Master's degree in Statistics, East China Normal University
1998/09-2002/07
Bachelor of Statistics, East China Normal University
Work Experience
Sep. 2009 - Aug. 2014, Shanghai University of Finance and Economics, School of Statistics and Management, Assistant Professor
Sep .2014 - July 2025, Shanghai University of Finance and Economics, School of Statistics and Management, Associate Professor
Aug. 2025 - Present: Shanghai University of Finance and Economics,School of Statistics and Data Science,,Professor
Research Achievements
Research achievements in statistical theory and methods:
37. Yang Sui, Qi Xu, Yang Bai, Annie Qu. Multi-Task Learning for Heterogeneous Multi-Source Block-Wise Missing Data. Journal of Computational and Graphical Statistics . 2026+
36. Yuanying Chen , Caihong Qin & Yang Bai. Nonparametric two-sample test for random objects based on data depth. Statistics. 2026+
35. Yang Sui, Ting Li and Yang Bai. GENERALIZED TENSOR REGRESSION WITH INTERNAL VARIATION REGULARIZATION. Statistica Sinica. 2026+
34. 刘伟、段亮杰、柏杨*，因果推断下的A/B测试分组方法研究，《数理统计与管理》、2025+
33. Yang Bai, Caihong Qin, Mengli Zhang and Huichen Zhu, Degrees of Freedom and Model Selection in Linear Models with Repeated Measurement Error. Communication in Mathematics and Statistics. 2026+
32. Caihong Qin and Yang Bai. Classification Under Local Differential Privacy with Model Reversal and Model Averaging. Journal of Machine Learning Research. 2026, 27 (5) , 1-44.
31. Yang Bai, Caihong Qin and Huichen Zhu. Functional Two-Sample Test based on Projection. Statistica Sinica. 2026, 36(2), 805-822.
30. 秦彩红、柏杨*， 高维两样本投影检验，《数理统计与管理》，2026，45（1）， 88-100。
29. Yang Bai, Yuan Le and Fan Zhou. Variable Selection with Reinforcement Learning. Statistical Theory and Related Fields. 2025, 9(3), 297-314.
28. Qin, C., Xie, J., Li, T., & Bai, Y.An Adaptive Transfer Learning Framework for Functional Classification. Journal of the American Statistical Association, 2025，120 (550), 1201-1213
27. Ran, Hao and Bai, Yang. Partially fixed bayesian additive regression trees. Statistical Theory and Related Fields, 2024, 8(3), 232-242.
26. Wan, Ran and Bai, Yang. Communication-efficient distributed statistical inference on zero-inflated Poisson models. Statistical Theory and Related Fields, 2024, 8(2), 81-106.
25.Yuan Le, Yang Bai* and Guoyou Qin, Subgroup analysis of linear models with measurement error. Canadian Journal of Statistics. 2024, 52 (1), 26-42.
24. Sui Y, He X, Bai Y. Implicit regularization in over-parameterized support vector machine. Advances in Neural Information Processing Systems. 2024 Feb 13; 36.
23.Mengli Zhang, Lan Xue, Carmen D. Tekwe, Yang Bai and Annie Qu. Partially Functional Linear Quantile Regression with Measurement Errors. Statistica Sinica. 2023, 33:2257-2280.
22.刘高生, 柏杨,余平. 部分函数型线性空间自回归模型的假设检验. 数学学报, 2023, 66(2): 239-252.
21.Yuan Le, Fan Zhou and Yang Bai, Reinforced mixture learning. Neural Networks. 2023, 165, 175-184.
20. Rongjie Jiang, Liming Wang and Yang Bai*, Optimal model averaging estimator for multinomial logit models. Statistical Theory and Related Fields. 2022, page 227-240.
19. Yang Bai, Rongjie Jiang and Mengli Zhang, Optimal model averaging estimator for expectile regressions. Journal of Statistical Planning and Inference. 2022, 217, 204-223.
18. Mengli Zhang and Yang Bai*, On the Use of Repeated Measurement Errors in Linear Regression Models. Metrika. 2021, 84, 779-803.
17. Guoying Xu and Bai Yang*, Estimation of nonparametric additive models with high order spatial autoregressive errors. Canadian Journal of Statistics. 2021, 49(2),311-343.
16. Rongjie Jiang, Liming Wang and Bai Yang*, Optimal model averaging estimator for semi-functionalpartially linear models. Metrika. 2021, 84, 167-194.
15. Gaosheng Liu and Yang Bai, Statistical inference in functional semiparametric spatial autoregressive model. AIMS Mathematics. 2021, 6(10), 10890-10906.
14. Yiming Tang, Yang Bai and Tao Huang, Network Vector Autoregression with Individual Effects. Metrika. 2021, 84, 875-893.
13. 徐群芳、刘高生、柏杨. 具有自相关误差结构的面板数据部分线性单指标模型的统计推断. 中国科学. 2019, 49(6), 1-30.
12. Qu, Qunfang and Bai,Yang, Semiparametric statistical inferences for longitudinal data with nonparametric covariance modeling. Statistics. 2017, 51(6), 1280-1303
11. Chen, Yuping, Bai, Yang and Fung, W. K., Structural Identication and Variable Selection in High-Dimensional Varying-Coefficient Models. Journal of Nonparametric Statistics. 2017, 29 (2), 258-279
10. Ma, Hai Qiang, Bai Yang and Zhu, Z. Y., Dynamic Single-index Model for Functional Data. Science China Math, 2016, 59 (12), 2561–2584
9. Bai, Yang, Hu, J. H. and You, J. H., Panel Data Varying-Coefficient Partially Linear Models with Both Spatially and Time-Wise Correlated Errors. Statistica Sinica, 2015, 25 (2), 507-528
8. Bai, Yang, Li, Rui, Huang, J. and You, J. H., Semiparametric Longitudinal Model with Irregular Time Autoregressive Error Process. Statistica Sinica, 2015, 25 (1), 275-294
7. Chen, Y. P. and Bai, Yang, Correlation Structure Selection for Longitudinal Data Based on Varying-Coefficient Model. Chinese Journal of Applied Probability and Statistics (Chinese Version). 2014, 30 (2), 181-194
6. Xu, Q. F. and Bai, Yang, Efficient Estimation of Varying Coefficient Seemly Unrelated Regression Model. Acta Mathematicae Applicatae Sinica, English Series, 2014, Vol. 30, No.1, 119-144.
5. Qin G. Y., Bai Yang, and Zhu Z. Y., Robust empirical likelihood inference for the parametric component in a generalized partial linear model with longitudinal data. Journal of Multivariate Analysis, 2012, 105 (1), 32-44.
4. Bai Yang, Fung W. K. and Zhu Z. Y., Weighted empirical likelihood for generalized linear models with longitudinal data. Journal of Statistical Planning and Inference, 2010, 140 (11), 3446-3456.
3. Qin G. Y., Bai Yang and Zhu Z. Y., Robust empirical likelihood for longitudinal data. Statistics and Probability Letters, 2009, 79 (20), 2101-2108.
2. Bai Yang, Fung W. K. and Zhu Z. Y., Penalized quadratic inference functions for single-index models with longitudinal data. Journal of Multivariate Analysis, 2009, 100 (1), 152-161.
1. Bai Yang, Zhu Z. Y. and Fung W. K., Partial linear models for longitudinal data based on quadratic inference functions. Scandinavian Journal of Statistics, 2008, 35 (1), 104-118.
Application research achievements：
3. Zou, C., Ji, H., Cui, J. ... Bai, Yang et al. Preliminary study on AI-assisted diagnosis of bone remodeling in chronic maxillary sinusitis. BMC Med Imaging, 2024, 24:140.
2. Gan H. C., Bai Y., Wei, June , Why do people change routes? Impact of information services. Industrial Management & Data Systems, 2013, 113 (3), 403-422.
1. Gan, H. C. and Bai, Yang, The effect of travel time variability on route choice decision: a generalized linear mixed model based analysis. Transportation, 2014, Vol. 41, 339-350.
Rewards
1. Second Prize of the Excellent Achievement Award for Scientific Research in Higher Education Institutions in 2014, Ministry of Education (as the second unit and the third contributor)
2. Third Prize for Excellent Teaching in the 2010-2011 Academic Year at Shanghai University of Finance and Economics
social work
Academic Professional Services
1. Executive Director and Secretary-General of the Resources and Environmental Statistics Branch of the China Field Statistics Society
2. I have reviewed manuscripts for the following international and domestic journals multiple times:
Annals of Statistics，Biometrika，Statistica Sinica，Journal of Multivariate Analysis (JMVA), Annals of Institute of Statistical Mathematics (AISM), Computational Statistics and Data Analysis (CSDA), Journal of Korean Statistical Society(JKSS), 应用数学学报, 应用概率统计。
Social Service (part-time)
1. Vice President and Secretary-General of the Shanghai University of Finance and Economics Branch of the Western Returned Scholars Association;
2. Director of the Youth Federation of the Shanghai Federation of Returned Overseas Chinese
Academic Report
1.“High Dimensional Varying-Coefficient Models for Longitudinal Data with Covariates Measurement Errors and Missing Response”，invited speaker，1st International Conference on Econometrics and Statistics，June 13-18，2017，Hong Kong
2.“Sub-group Analysis of non-parametric regression functions with longitudinal data”，邀请报告，吉林大学2017年青年概率统计学者论坛会议，2017年4月14-16，吉林长春
3.“An improved estimator of linear model with repeated measurement erros”，邀请报告，中南财经政法大学2017年青年统计学家论坛会议，2017年3月24-25，武汉
4.“Structural Identification and Variable Selection in High-Dimensional Varying-Coefficient Models”，邀请报告，南开大学统计论坛，2016年11月11-12，天津
5.“Variable Selection in Modeling Longitudinal Data with Error-in-Variables and Dropouts”，邀请报告，2016华东师范大学魏宗舒青年统计学者研讨会，2016年5月21日至23日，华东师范大学，上海
6.“Structural Identification and Variable Selection in High-Dimensional Varying-Coefficient Models”，分会报告，2015年第九次全国生存分析和应用统计研讨会，2015年4月9日至11日，福建武夷学院，武夷山
7.“Semiparametric Longitudinal Model with Irregular Time Autoregressive Error Process”，Invited speaker, 2013 Youth Statistician Symposium in Dongnan University，Nanjing，China，September 18-19，2013
8.“Empirical likelihood and robust empirical likelihood inferences for longitudinal data”，中会报告，2011年统计与管理国际学术会议暨第五届资源与环境统计学会学术会议，2011年9月23日至25日，重庆理工大学，重庆
9.“Robust empirical likelihood inference for the parametric component in a generalized partial linear model with longitudinal data”，分会报告， 2010年中国概率统计学术年会，2010年10月21日至25日，南开大学，天津
10.“Penalized quadratic inference functions for single-index models with longitudinal data”，Contributed section，Joint Statistics Meeting 2008，Denver，USA，August 3-7 2008
11.“Partial linear models for longitudinal data”，Contributed section，7th World Congress in Probability and Statistics，National University of Singapore，Singapore，July 14-19 2008
12.“Modeling Longitudinal data with quadratic inference functions”，Contributed section，International Workshop on Scientific Computing-Models，Algorithm and Applications，University of Hong Kong，Hong Kong，August 13-25 2006
