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Wasserstein distributionally robust optimization offers a framework for model fitting in machine learning under potential shifts in the data distribution. We study a regularized variant of this problem in which entropic smoothing produces a…

最优化与控制 · 数学 2026-05-28 Tam Le

Optimal transport has recently proved to be a useful tool in various machine learning applications needing comparisons of probability measures. Among these, applications of distributionally robust optimization naturally involve Wasserstein…

最优化与控制 · 数学 2023-03-24 Waïss Azizian , Franck Iutzeler , Jérôme Malick

Robustness of machine learning models is critical for security related applications, where real-world adversaries are uniquely focused on evading neural network based detectors. Prior work mainly focus on crafting adversarial examples (AEs)…

机器学习 · 计算机科学 2021-11-01 Ecenaz Erdemir , Jeffrey Bickford , Luca Melis , Sergul Aydore

In this work, we study how to ensure probabilistic safety for nonlinear systems under distributional ambiguity. Our approach builds on a backup-based safety filtering framework that switches between a high-performance nominal policy and a…

机器人学 · 计算机科学 2026-05-20 Daniel M. Cherenson , Haejoon Lee , Taekyung Kim , Dimitra Panagou

Performativity means that the deployment of a predictive model incentivizes agents to strategically adapt their behavior, thereby inducing a model-dependent distribution shift. Practitioners often repeatedly retrain the model on data…

最优化与控制 · 数学 2026-02-09 Siyi Wang , Zifan Wang , Karl H. Johansson

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

Wasserstein distributionally robust optimization estimators are obtained as solutions of min-max problems in which the statistician selects a parameter minimizing the worst-case loss among all probability models within a certain distance…

统计理论 · 数学 2021-03-04 Jose Blanchet , Karthyek Murthy , Nian Si

Certifiable robustness gives the guarantee that small perturbations around an input to a classifier will not change the prediction. There are two approaches to provide certifiable robustness to adversarial examples: a) explicitly training…

机器学习 · 计算机科学 2025-08-04 Meiyu Zhong , Ravi Tandon

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

With deep neural networks providing state-of-the-art machine learning models for numerous machine learning tasks, quantifying the robustness of these models has become an important area of research. However, most of the research literature…

机器学习 · 计算机科学 2019-01-08 Tsui-Wei Weng , Pin-Yu Chen , Lam M. Nguyen , Mark S. Squillante , Ivan Oseledets , Luca Daniel

The problem of quickest detection of a change in the distribution of a sequence of independent observations is considered. It is assumed that the pre-change distribution is known (accurately estimated), while the only information about the…

统计理论 · 数学 2023-09-29 Liyan Xie , Yuchen Liang , Venugopal V. Veeravalli

We study the problem of assessing the robustness of counterfactual explanations for deep learning models. We focus on $\textit{plausible model shifts}$ altering model parameters and propose a novel framework to reason about the robustness…

机器学习 · 计算机科学 2024-07-11 Luca Marzari , Francesco Leofante , Ferdinando Cicalese , Alessandro Farinelli

The existence of adversarial data examples has drawn significant attention in the deep-learning community; such data are seemingly minimally perturbed relative to the original data, but lead to very different outputs from a deep-learning…

机器学习 · 计算机科学 2019-11-12 Bai Li , Changyou Chen , Wenlin Wang , Lawrence Carin

Graphs are playing a crucial role in different fields since they are powerful tools to unveil intrinsic relationships among signals. In many scenarios, an accurate graph structure representing signals is not available at all and that…

机器学习 · 计算机科学 2021-05-14 Xiang Zhang , Yinfei Xu , Qinghe Liu , Zhicheng Liu , Jian Lu , Qiao Wang

Randomized smoothing has established state-of-the-art provable robustness against $\ell_2$ norm adversarial attacks with high probability. However, the introduced Gaussian data augmentation causes a severe decrease in natural accuracy. We…

机器学习 · 计算机科学 2020-12-01 Ching-Chia Kao , Jhe-Bang Ko , Chun-Shien Lu

A data-driven MPC scheme is proposed to safely control constrained stochastic linear systems using distributionally robust optimization. Distributionally robust constraints based on the Wasserstein metric are imposed to bound the state…

最优化与控制 · 数学 2021-05-19 Zhengang Zhong , Ehecatl Antonio del Rio-Chanona , Panagiotis Petsagkourakis

Robustness of decision rules to shifts in the data-generating process is crucial to the successful deployment of decision-making systems. Such shifts can be viewed as interventions on a causal graph, which capture (possibly hypothetical)…

人工智能 · 计算机科学 2021-05-20 Benjie Wang , Clare Lyle , Marta Kwiatkowska

Recently smoothing deep neural network based classifiers via isotropic Gaussian perturbation is shown to be an effective and scalable way to provide state-of-the-art probabilistic robustness guarantee against $\ell_2$ norm bounded…

机器学习 · 统计学 2020-02-19 Huijie Feng , Chunpeng Wu , Guoyang Chen , Weifeng Zhang , Yang Ning

Uncertainty is critical to reliable decision-making with machine learning. Conformal prediction (CP) handles uncertainty by predicting a set on a test input, hoping the set to cover the true label with at least $(1-\alpha)$ confidence. This…

机器学习 · 计算机科学 2024-03-25 Rui Xu , Yue Sun , Chao Chen , Parv Venkitasubramaniam , Sihong Xie

Most research designing novel predictive models, or employing existing ones, assumes that training and testing data are independent and identically distributed. In practice, the data encountered at serving time often deviate from the…

机器学习 · 计算机科学 2026-03-30 Hanyu Duan , Yi Yang , Ahmed Abbasi , Kar Yan Tam