Extrapolated cross-validation for randomized ensembles

JH Du, P Patil, K Roeder… - Journal of Computational …, 2024 - Taylor & Francis
Ensemble methods such as bagging and random forests are ubiquitous in various fields,
from finance to genomics. Despite their prevalence, the question of the efficient tuning of …

Stein's method for conditional central limit theorem

PS Dey, G Terlov - The Annals of Probability, 2023 - projecteuclid.org
In the seventies, Charles Stein revolutionized the way of proving the central limit theorem by
introducing a method that utilizes a characterization equation for Gaussian distribution. In …

Quantitative homogenization in a balanced random environment

X Guo, J Peterson, HV Tran - Electronic Journal of Probability, 2022 - projecteuclid.org
We consider discrete non-divergence form difference operators in a random environment
and the corresponding process–the random walk in a balanced random environment in Z d …

Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments

L Avena, C Da Costa, J Peterson - arxiv preprint arxiv:2108.08396, 2021 - arxiv.org
Random Walks in Cooling Random Environments (RWCRE) is a model of random walks in
dynamic random environments where the entire environment is resampled along a fixed …

Conditional Stein's method and maximal spanning forests

G Terlov - 2023 - ideals.illinois.edu
This dissertation consists of two independent parts. Part 1. In the seventies, Charles Stein
revolutionized the way of proving the Central Limit Theorem by introducing a method that …

Optimal rates of convergence for quenched central limit theorem rates for hitting times of one-dimensional random walks in random environments

SW Ahn, J Peterson - arxiv preprint arxiv:2001.11522, 2020 - arxiv.org
We consider the rates of convergence of the quenched central limit theorem for hitting times
of one-dimensional random walks in a random environment. Previous results had identified …