Search Results for author: Yiling Xie

Found 5 papers, 1 papers with code

Asymptotic Behavior of Adversarial Training Estimator under $\ell_\infty$-Perturbation

no code implementations27 Jan 2024 Yiling Xie, Xiaoming Huo

Alternatively, a two-step procedure is proposed -- adaptive adversarial training, which could further improve the performance of adversarial training under $\ell_\infty$-perturbation.

Variable Selection

Adjusted Wasserstein Distributionally Robust Estimator in Statistical Learning

no code implementations27 Mar 2023 Yiling Xie, Xiaoming Huo

We propose an adjusted Wasserstein distributionally robust estimator -- based on a nonlinear transformation of the Wasserstein distributionally robust (WDRO) estimator in statistical learning.

regression

Improved Rate of First Order Algorithms for Entropic Optimal Transport

no code implementations23 Jan 2023 Yiling Luo, Yiling Xie, Xiaoming Huo

To compare, we prove that the computational complexity of the Stochastic Sinkhorn algorithm is $\widetilde{{O}}({n^2}/{\epsilon^2})$, which is slower than our accelerated primal-dual stochastic mirror algorithm.

Solving a Special Type of Optimal Transport Problem by a Modified Hungarian Algorithm

no code implementations29 Oct 2022 Yiling Xie, Yiling Luo, Xiaoming Huo

Computing the empirical Wasserstein distance in the independence test requires solving this special type of OT problem, where $m=n^2$.

An Accelerated Stochastic Algorithm for Solving the Optimal Transport Problem

1 code implementation2 Mar 2022 Yiling Xie, Yiling Luo, Xiaoming Huo

A primal-dual accelerated stochastic gradient descent with variance reduction algorithm (PDASGD) is proposed to solve linear-constrained optimization problems.

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