Position Title
Professor
Position Title
Professor
- Statistics
He/Him/His
- 530-554-9521
- [email protected]
- https://statistics.ucdavis.edu/people/wolfgang-polonik
- https://www.stat.ucdavis.edu/~polonik/WP-personal-home.html
4212 Mathematical Sciences Building
One Shields Avenue, Davis CA 95616
One Shields Avenue, Davis CA 95616
Bio
Research Interests
- Mathematical Statistics
- Nonparametric Statistics
- Shape Constraints
- Modality
- Nonstationary Time Series
- Empirical Process Theory
- Topological Data Analysis
- Random Networks
Selected Works
- Neighborhood selection with application to social networks (joint with N. Wang; submitted)
- Extrema of Gaussian fields on growing manifolds (joint with W. Qiao; Bernoulli)
- Local Neighborhood Fusion in Locally Constant Gaussian Graphical Models. (joint with A. Ganguly; submitted)
- Theoretical Analysis of Nonparametric Filament Estimation (joint with W. Qiao; appeared in The Annals of Statistics, 44, 1269-1297), Technical supplement
- Weighted sums and residual empirical processes for time-varying processes (joint with G. Chandler; appeared in . J. Time Ser. Anal. 38, 72 - 98)
- Confidence sets for level sets (joint with E. Mammen; appeared in Journal of Multivariate Analysis, 122, 202-214, 2013)
Publications
- Minimax Optimal Nonsmooth Nonparametric Regression via Fractional Laplacian Eigenmaps
Conference Paper | Shi, Z., Balasubramanian, K., Polonik, W. Proceedings of Machine Learning Research, 286, 3826-3836. - On the asymptotic normality of persistent Betti numbers
Journal Article | Krebs, J., Polonik, W. Advances in Applied Probability, 57, 492-523. 10.1017/apr.2024.61 - A flexible approach for normal approximation of geometric and topological statistics
Journal Article | Shi, Z., Balasubramanian, K., Polonik, W. Bernoulli, 30, 3029-3058. 10.3150/23-bej1705 - Adaptive and non-adaptive minimax rates for weighted Laplacian-Eigenmap based nonparametric regression
Conference Paper | Shi, Z., Balasubramanian, K., Polonik, W. Proceedings of Machine Learning Research, 238, 2800-2808. - Testing For Global Covariate Effects in Dynamic Interaction Event Networks
Journal Article | Kreiss, A., Mammen, E., Polonik, W. Journal of Business and Economic Statistics, 42, 457-468. 10.1080/07350015.2023.2263537 - See publications and more on Aggie Experts: https://experts.ucdavis.edu/expert/xQBFN1kr