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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

The Area Under the ROC Curve (AUC) is a widely employed metric in long-tailed classification scenarios. Nevertheless, most existing methods primarily assume that training and testing examples are drawn i.i.d. from the same distribution,…

机器学习 · 计算机科学 2023-11-07 Siran Dai , Qianqian Xu , Zhiyong Yang , Xiaochun Cao , Qingming Huang

Learning data representations under uncertainty is an important task that emerges in numerous scientific computing and data analysis applications. However, uncertainty quantification techniques are computationally intensive and become…

A fundamental notion of distance between train and test distributions from the field of domain adaptation is discrepancy distance. While in general hard to compute, here we provide the first set of provably efficient algorithms for testing…

数据结构与算法 · 计算机科学 2024-06-14 Gautam Chandrasekaran , Adam R. Klivans , Vasilis Kontonis , Konstantinos Stavropoulos , Arsen Vasilyan

When selecting from a list of potential candidates, it is important to ensure not only that the selected items are of high quality, but also that they are sufficiently dissimilar so as to both avoid redundancy and to capture a broader range…

统计方法学 · 统计学 2026-02-25 Yash Nair , Ying Jin , James Yang , Emmanuel Candes

Decision trees are powerful machine learning algorithms, widely used in fields such as economics and medicine for their simplicity and interpretability. However, decision trees such as CART are prone to overfitting, especially when grown…

机器学习 · 统计学 2026-01-13 Likun Zhang , Wei Ma

Route planning is essential to mobile robot navigation problems. In recent years, deep reinforcement learning (DRL) has been applied to learning optimal planning policies in stochastic environments without prior knowledge. However, existing…

机器人学 · 计算机科学 2023-04-21 Xi Lin , Paul Szenher , John D. Martin , Brendan Englot

Optimal dynamic treatment regimes (DTRs), as a key part of precision medicine, have progressively gained more attention recently. To inform clinical decision making, interpretable and parsimonious models for contrast functions are…

统计方法学 · 统计学 2025-12-08 Chunyu Wang , Brian Tom

In many machine learning tasks, a common approach for dealing with large-scale data is to build a small summary, {\em e.g.,} coreset, that can efficiently represent the original input. However, real-world datasets usually contain outliers…

机器学习 · 计算机科学 2022-01-24 Zixiu Wang , Yiwen Guo , Hu Ding

Data-driven decision-making under uncertainty typically presumes the collection of historical data from an unknown target probability distribution. However, one may have no access to any data from the target distribution prior to…

最优化与控制 · 数学 2026-04-23 Xianyu Li , Huan Xu , Xiaolin Huang , Chao Shang

In this paper, we consider a network capacity expansion problem in the context of telecommunication networks, where there is uncertainty associated with the expected traffic demand. We employ a distributionally robust stochastic…

最优化与控制 · 数学 2020-04-10 Trivikram Dokka , Francis Garuba , Marc Goerigk , Peter Jacko

Training models that perform well under distribution shifts is a central challenge in machine learning. In this paper, we introduce a modeling framework where, in addition to training data, we have partial structural knowledge of the…

机器学习 · 计算机科学 2021-10-28 Tobias Sutter , Andreas Krause , Daniel Kuhn

Offline Reinforcement Learning (RL) has shown promising results in learning a task-specific policy from a fixed dataset. However, successful offline RL often relies heavily on the coverage and quality of the given dataset. In scenarios…

机器学习 · 计算机科学 2024-05-01 Chenjia Bai , Lingxiao Wang , Jianye Hao , Zhuoran Yang , Bin Zhao , Zhen Wang , Xuelong Li

We propose a modification of linear discriminant analysis, referred to as compressive regularized discriminant analysis (CRDA), for analysis of high-dimensional datasets. CRDA is specially designed for feature elimination purpose and can be…

统计方法学 · 统计学 2018-04-12 Muhammad Naveed Tabassum , Esa Ollila

This paper studies data-driven distributionally robust bottleneck combinatorial problems (DRBCP) with stochastic costs, where the probability distribution of the cost vector is contained in a ball of distributions centered at the empirical…

最优化与控制 · 数学 2021-02-23 Weijun Xie , Jie Zhang , Shabbir Ahmed

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

Diffusion models have become popular for policy learning in robotics due to their ability to capture high-dimensional and multimodal distributions. However, diffusion policies are stochastic and typically trained offline, limiting their…

机器人学 · 计算机科学 2025-05-28 Ralf Römer , Alexander von Rohr , Angela P. Schoellig

Recent studies have demonstrated that gradient matching-based dataset synthesis, or dataset condensation (DC), methods can achieve state-of-the-art performance when applied to data-efficient learning tasks. However, in this study, we prove…

计算机视觉与模式识别 · 计算机科学 2022-06-17 Saehyung Lee , Sanghyuk Chun , Sangwon Jung , Sangdoo Yun , Sungroh Yoon

Robust Markov Decision Processes (MDPs) address environmental shift through distributionally robust optimization (DRO) by finding an optimal worst-case policy within an uncertainty set of transition kernels. However, standard DRO approaches…

机器学习 · 统计学 2026-03-10 Akram S. Awad , Shihab Ahmed , Yue Wang , George K. Atia

We consider the problem of learning classification trees that are robust to distribution shifts between training and testing/deployment data. This problem arises frequently in high stakes settings such as public health and social work where…

机器学习 · 计算机科学 2025-08-27 Nathan Justin , Sina Aghaei , Andrés Gómez , Phebe Vayanos
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