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While the traditional viewpoint in machine learning and statistics assumes training and testing samples come from the same population, practice belies this fiction. One strategy -- coming from robust statistics and optimization -- is thus…

机器学习 · 统计学 2024-07-08 Maxime Cauchois , Suyash Gupta , Alnur Ali , John C. Duchi

This paper introduces a framework for Chance-Constrained Optimization with Complex Variables, addressing complex linear programming for both individual and joint probabilistic constraints in the complex domain. We first analyze the 3CP…

最优化与控制 · 数学 2026-05-25 Raneem Madani , Abdel Lisser , Zeno Toffano

A common situation in filtering where classical Kalman filtering does not perform particularly well is tracking in the presence of propagating outliers. This calls for robustness understood in a distributional sense, i.e.; we enlarge the…

统计理论 · 数学 2014-01-28 Peter Ruckdeschel , Bernhard Spangl , Daria Pupashenko

We use a decision-theoretic framework to study the problem of forecasting discrete outcomes when the forecaster is unable to discriminate among a set of plausible forecast distributions because of partial identification or concerns about…

计量经济学 · 经济学 2020-12-18 Timothy Christensen , Hyungsik Roger Moon , Frank Schorfheide

The probabilistic diffusion model (DM), generating content by inferencing through a recursive chain structure, has emerged as a powerful framework for visual generation. After pre-training on enormous data, the model needs to be properly…

计算机视觉与模式识别 · 计算机科学 2025-09-30 Tao Ren , Zishi Zhang , Jingyang Jiang , Zehao Li , Shentao Qin , Yi Zheng , Guanghao Li , Qianyou Sun , Yan Li , Jiafeng Liang , Xinping Li , Yijie Peng

Distributionally robust optimization (DRO) has emerged as a powerful paradigm for reliable decision-making under uncertainty. This paper focuses on DRO with ambiguity sets defined via the Sinkhorn discrepancy: an entropy-regularized…

机器学习 · 统计学 2025-12-16 Jie Wang

In this paper, we consider the contextual robust optimization problem under an out-of-distribution setting. The contextual robust optimization problem considers a risk-sensitive objective function for an optimization problem with the…

最优化与控制 · 数学 2025-06-06 Zhongze Cai , Hansheng Jiang , Xiaocheng Li

We review distributionally robust optimization (DRO), a principled approach for constructing statistical estimators that hedge against the impact of deviations in the expected loss between the training and deployment environments. Many…

统计方法学 · 统计学 2024-01-29 Jose Blanchet , Jiajin Li , Sirui Lin , Xuhui Zhang

In this paper we wish to tackle stochastic programs affected by ambiguity about the probability law that governs their uncertain parameters. Using optimal transport theory, we construct an ambiguity set that exploits the knowledge about the…

最优化与控制 · 数学 2021-06-15 Adrián Esteban-Pérez , Juan M. Morales

This paper presents a new approach to a robust Gaussian process (GP) regression. Most existing approaches replace an outlier-prone Gaussian likelihood with a non-Gaussian likelihood induced from a heavy tail distribution, such as the…

机器学习 · 计算机科学 2020-01-15 Chiwoo Park , David J. Borth , Nicholas S. Wilson , Chad N. Hunter , Fritz J. Friedersdorf

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

In network congestion games, system operators often utilize latency models, estimated from real-world traffic flow and travel time data, to design monetary incentives which steer equilibrium user behaviors towards lowering system-wide…

系统与控制 · 电气工程与系统科学 2026-04-21 Chih-Yuan Chiu , Sarah H. Q. Li , Bryce L. Ferguson

Distributionally robust optimization (DRO) studies decision problems under uncertainty where the probability distribution governing the uncertain problem parameters is itself uncertain. A key component of any DRO model is its ambiguity set,…

最优化与控制 · 数学 2025-05-28 Daniel Kuhn , Soroosh Shafiee , Wolfram Wiesemann

Out-of-distribution (OOD) generalization is a complicated problem due to the idiosyncrasies of possible distribution shifts between training and test domains. Most benchmarks employ diverse datasets to address this issue; however, the…

机器学习 · 计算机科学 2023-12-18 Kaican Li , Yifan Zhang , Lanqing Hong , Zhenguo Li , Nevin L. Zhang

Reliable out-of-distribution (OOD) detection is a critical requirement for the safe deployment of machine learning systems. Despite recent progress, state-of-the-art OOD detectors are highly susceptible to adversarial attacks, which…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Maria Stoica , Abdelrahman Hekal , Alessio Lomuscio

In real-world applications, it is important for machine learning algorithms to be robust against data outliers or corruptions. In this paper, we focus on improving the robustness of a large class of learning algorithms that are formulated…

机器学习 · 计算机科学 2021-06-04 Quanming Yao , Hangsi Yang , En-Liang Hu , James Kwok

This paper deals with robust marginal estimation under a general regression model when missing data occur in the response and also in some of covariates. The target is a marginal location parameter which is given through an $M-$functional.…

统计方法学 · 统计学 2020-05-08 Ana M. Bianco , Graciela Boente , Wenceslao González-Manteiga , Ana Pérez-González

The systematic collection of longitudinal data is very common in practice, making mixed models widely used. Most developments around these models focus on modeling the mean trajectory of repeated measurements, typically under the assumption…

统计方法学 · 统计学 2025-12-16 Antoine Barbieri , Angelo Alcaraz , Mouna Abed , Hugues de Courson , Hélène Jacqmin-Gadda

We present a distributionally robust optimization (DRO) approach for the transmission expansion planning problem, considering both long- and short-term uncertainties on the system demand and non-dispatchable renewable generation. On the…

最优化与控制 · 数学 2020-03-17 Alexandre Velloso , David Pozo , Alexandre Street

Offline reinforcement learning aims to learn from pre-collected datasets without active exploration. This problem faces significant challenges, including limited data availability and distributional shifts. Existing approaches adopt a…

机器学习 · 计算机科学 2024-10-01 Yue Wang , Jinjun Xiong , Shaofeng Zou