Wolfgang Polonik

    Professor
    Department of Statistics
    University of California at Davis
    One Shields Ave.
    Davis, CA 95616
    Phone: 530-752-1011

    Research Interests

    • Mathematical Statistics, Statistical Learning Theory, Nonparametric Statistics, Shape Constraints, Modality,
      Nonstationary Time Series, Empirical Process Theory, Topological Data Analysis, Random Networks

    Membership in scientific societies

    • Institute of Mathematical Statistics
    • American Statistical Association
    • Bernoulli
    • International Statistical Institute

    Editorial service

    • 2012 - 2015 : Associate Editor: Journal of the Royal Statistical Association - Series B
    • since 2003: Associate Editor: Journal of Multivariate Analysis
    • 2004 - 2012: Associate Editor: Journal of Statistical Planning and Inference
    • 2007 - 2012: Associate Editor: Annals of Statistics

    Recent Manuscripts/Publications

    • Antimodes and Graphical Anomaly Exploration via Adaptive Depth Quantile Functions (joint with G. Chandler, submitted)

    • Adaptive and non-adaptive minimax rates for weighted Laplacian-Eigenmap based nonparametric regression (joint with Z. She, K. Balasubramanian; AISTATS, 2024)

    • Bootstrapping persistent Betti numbers and other stabilizing statistics. (joint with B. Roycraft, J. Krebs, Annals of Statistics, 2023)

    • Topologically penalized regression on manifolds. (joint with O. Hacquard, K. Balasubramanian, G. Blanchard, G. Levrard, Journal of Machine Learning Research, 2022)

    • Multiscale geometric feature extraction for high-dimensional and non-Euclidean data with application (joint with G. Chandler; Annals of Statistics, 2021)

    • On approximation theorems for the Euler characteristic with application to the bootstrap (joint with J. Krebs and B. Roycraft, Electronic Journal of Statistics, 2021)

    • Multiscale geometric feature extraction for high-dimensional and non-Euclidean data with application (joint with G. Chandler; Annals of Statistics, 2021)

    • On the asymptotic normality of persistent Betti numbers (joint with J. Krebs, arXiv manuscript)

    • On the choice of weight functions for linear representations of persistence diagrams (joint with V. Divol, Journal of Applied and Computational Topology, 2019)

    • Nonparametric confidence regions for level sets: Statistical properties and geometry. (joint with W. Qiao; aElectronic Journal of Statistics, 2018)

    • 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; arXiv)

    • 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)