Position Title
Associate Professor
Position Title
Associate Professor
- Statistics
He/Him/His
- 530-341-3886
- melopes@ucdavis.edu
- https://anson.ucdavis.edu/~melopes/
- https://statistics.ucdavis.edu/people/miles-lopes
- https://cedar.ucdavis.edu/people/miles-lopes
4105 Mathematical Sciences Building
One Shields Avenue, Davis CA 95616
One Shields Avenue, Davis CA 95616
Bio
Education
- UC Berkeley Ph.D.
Research Interests
- Bootstrap methods
- High-dimensional inference
- Error estimation for randomized algorithms
Selected Works
- Central limit theorem and bootstrap approximation in high dimensions: Near 1/√n rates via implicit smoothing, M. E. Lopes
to appear: The Annals of Statistics, 2022+. [arxiv] - A sharp lower-tail bound for Gaussian maxima with application to bootstrap methods in high dimensions, M. E. Lopes, J. Yao
Electronic Journal of Statistics, 2022. [pdf] [link] - Rates of bootstrap approximation for eigenvalues in high-dimensional PCA, J. Yao, M. E. Lopes
to appear: Statistica Sinica, 2022+. [arxiv] - Bootstrapping max statistics in high dimensions:
Near-parametric rates under weak variance decay and application to functional and multinomial data, M. E. Lopes, Z. Lin, H.-G. Mueller
The Annals of Statistics, 2020. [link] [pdf] [arxiv] - Estimating the algorithmic variance of randomized ensembles via the bootstrap, M. E. Lopes
The Annals of Statistics, 2019. [link] [pdf] [arxiv] - Bootstrapping spectral statistics in high dimensions, M. E. Lopes, A. Blandino, A. Aue
Biometrika, 2019. [link] [arxiv]
Publications
- Empirical Error Estimates for Graph Sparsification
Conference Paper | Wang, S., Lopes, M. Proceedings of Machine Learning Research, 258, 595-603. - Improved rates of bootstrap approximation for the operator norm: A coordinate-free approach
Journal Article | Lopes, M. Annales de l Institut Henri Poincaré Probabilités et Statistiques, 61, 2262-2290. 10.1214/24-aihp1477 - Testing Elliptical Models in High Dimensions
Journal Article | Wang, S., Lopes, M. Journal of the American Statistical Association, ahead-of-print, 1-11. 10.1080/01621459.2025.2518617 - Rates of Bootstrap Approximation for Eigenvalues in High-Dimensional PCA
Journal Article | Yao, J., Lopes, M. Statistica Sinica, 33, 1461-1481. 10.5705/ss.202021.0158 - A bootstrap method for spectral statistics in high-dimensional elliptical models
Journal Article | Wang, S., Lopes, M. Electronic Journal of Statistics, 17, 1848-1892. 10.1214/23-ejs2140 - See publications and more on Aggie Experts: https://experts.ucdavis.edu/expert/O45Jsemy