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Distributionally robust optimization has emerged as an attractive way to train robust machine learning models, capturing data uncertainty and distribution shifts. Recent statistical analyses have proved that generalization guarantees of…

最优化与控制 · 数学 2025-01-28 Tam Le , Jérôme Malick

Wasserstein distributionally robust optimization (WDRO) provides a framework for adversarial robustness, yet existing methods based on global Lipschitz continuity or strong duality often yield loose upper bounds or require prohibitive…

机器学习 · 计算机科学 2026-02-04 Bach C. Le , Tung V. Dao , Binh T. Nguyen , Hong T. M. Chu

Distributionally robust supervised learning (DRSL) is emerging as a key paradigm for building reliable machine learning systems for real-world applications -- reflecting the need for classifiers and predictive models that are robust to the…

机器学习 · 计算机科学 2022-01-26 Yaodong Yu , Tianyi Lin , Eric Mazumdar , Michael I. Jordan

Reinforcement learning algorithms, though successful, tend to over-fit to training environments hampering their application to the real-world. This paper proposes $\text{W}\text{R}^{2}\text{L}$ -- a robust reinforcement learning algorithm…

We present a Distributionally Robust Optimization (DRO) approach to estimate a robustified regression plane in a linear regression setting, when the observed samples are potentially contaminated with adversarially corrupted outliers. Our…

机器学习 · 统计学 2018-05-14 Ruidi Chen , Ioannis Ch. Paschalidis

Distributionally Robust Optimization (DRO) provides a framework for decision-making under distributional uncertainty, yet its effectiveness can be compromised by outliers in the training data. This paper introduces a principled approach to…

机器学习 · 计算机科学 2025-11-04 Shuyao Li , Ilias Diakonikolas , Jelena Diakonikolas

We consider learning in an adversarial environment, where an $\varepsilon$-fraction of samples from a distribution $P$ are arbitrarily modified (global corruptions) and the remaining perturbations have average magnitude bounded by $\rho$…

机器学习 · 计算机科学 2024-06-26 Sloan Nietert , Ziv Goldfeld , Soroosh Shafiee

Off-policy evaluation and learning are concerned with assessing a given policy and learning an optimal policy from offline data without direct interaction with the environment. Often, the environment in which the data are collected differs…

机器学习 · 计算机科学 2024-01-18 Yi Shen , Pan Xu , Michael M. Zavlanos

Despite superior performance in many situations, deep neural networks are often vulnerable to adversarial examples and distribution shifts, limiting model generalization ability in real-world applications. To alleviate these problems,…

机器学习 · 计算机科学 2023-02-14 Hoang Phan , Trung Le , Trung Phung , Tuan Anh Bui , Nhat Ho , Dinh Phung

Many existing transfer learning methods rely on leveraging information from source data that closely resembles the target data. However, this approach often overlooks valuable knowledge that may be present in different yet potentially…

机器学习 · 计算机科学 2023-09-14 Xin Xiong , Zijian Guo , Tianxi Cai

Distributionally Robust Optimization (DRO) has enabled to prove the equivalence between robustness and regularization in classification and regression, thus providing an analytical reason why regularization generalizes well in statistical…

最优化与控制 · 数学 2020-07-15 Esther Derman , Shie Mannor

This paper proposes a distributionally robust approach to logistic regression. We use the Wasserstein distance to construct a ball in the space of probability distributions centered at the uniform distribution on the training samples. If…

最优化与控制 · 数学 2015-12-02 Soroosh Shafieezadeh-Abadeh , Peyman Mohajerin Esfahani , Daniel Kuhn

The empirical success of distributional reinforcement learning (RL) highly relies on the choice of distribution divergence equipped with an appropriate distribution representation. In this paper, we propose \textit{Sinkhorn distributional…

机器学习 · 计算机科学 2024-10-16 Ke Sun , Yingnan Zhao , Wulong Liu , Bei Jiang , Linglong Kong

We consider data-driven approaches that integrate a machine learning prediction model within distributionally robust optimization (DRO) given limited joint observations of uncertain parameters and covariates. Our framework is flexible in…

最优化与控制 · 数学 2022-05-26 Rohit Kannan , Güzin Bayraksan , James R. Luedtke

In this paper, we present Tianshou, a highly modularized Python library for deep reinforcement learning (DRL) that uses PyTorch as its backend. Tianshou intends to be research-friendly by providing a flexible and reliable infrastructure of…

机器学习 · 计算机科学 2022-08-11 Jiayi Weng , Huayu Chen , Dong Yan , Kaichao You , Alexis Duburcq , Minghao Zhang , Yi Su , Hang Su , Jun Zhu

We present a novel $Q$-learning algorithm tailored to solve distributionally robust Markov decision problems where the corresponding ambiguity set of transition probabilities for the underlying Markov decision process is a Wasserstein ball…

机器学习 · 计算机科学 2024-06-21 Ariel Neufeld , Julian Sester

Distributionally robust optimization (DRO) is an effective approach for data-driven decision-making in the presence of uncertainty. Geometric uncertainty due to sampling or localized perturbations of data points is captured by Wasserstein…

机器学习 · 统计学 2023-11-10 Sloan Nietert , Ziv Goldfeld , Soroosh Shafiee

We consider statistical methods which invoke a min-max distributionally robust formulation to extract good out-of-sample performance in data-driven optimization and learning problems. Acknowledging the distributional uncertainty in learning…

统计理论 · 数学 2021-08-05 Jose Blanchet , Karthyek Murthy , Viet Anh Nguyen

Sliced Wasserstein (SW) distances offer an efficient method for comparing high-dimensional probability measures by projecting them onto multiple 1-dimensional probability distributions. However, identifying informative slicing directions…

机器学习 · 计算机科学 2025-06-04 Navid NaderiAlizadeh , Darian Salehi , Xinran Liu , Soheil Kolouri

We propose a distributionally robust approach to learning hyperparameters for first-order methods in convex optimization. Given a dataset of problem instances, we minimize a Wasserstein distributionally robust version of the performance…

机器学习 · 计算机科学 2026-05-08 Vinit Ranjan , Jisun Park , Bartolomeo Stellato