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We introduce dro, an open-source Python library for distributionally robust optimization (DRO) for regression and classification problems. The library implements 14 DRO formulations and 9 backbone models, enabling 79 distinct DRO methods.…

机器学习 · 计算机科学 2025-05-30 Jiashuo Liu , Tianyu Wang , Henry Lam , Hongseok Namkoong , Jose Blanchet

Few-shot learning requires models to generalize under limited supervision while remaining robust to distribution shifts. Existing Sinkhorn Distributionally Robust Optimization (DRO) methods provide theoretical guarantees but rely on a fixed…

机器学习 · 统计学 2026-02-17 Haixiang Sun , Andrew L. Liu

We investigate a stochastic program with expected value constraints, addressing the problem in a general context through Distributionally Robust Optimization (DRO) approach using Wasserstein distances, where the ambiguity set depends on the…

最优化与控制 · 数学 2023-04-18 Diego Fonseca , Mauricio Junca

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

In this paper we explore the relation between distributionally robust learning and different forms of regularization to enforce robustness of deep neural networks. In particular, starting from a concrete min-max distributionally robust…

最优化与控制 · 数学 2022-03-29 Camilo Garcia Trillos , Nicolas Garcia Trillos

A central goal of machine learning is to learn robust representations that capture the causal relationship between inputs features and output labels. However, minimizing empirical risk over finite or biased datasets often results in models…

机器学习 · 计算机科学 2021-06-15 Chunting Zhou , Xuezhe Ma , Paul Michel , Graham Neubig

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

Wasserstein distributionally robust optimization (DRO) has recently achieved empirical success for various applications in operations research and machine learning, owing partly to its regularization effect. Although connection between…

机器学习 · 计算机科学 2020-11-02 Rui Gao , Xi Chen , Anton J. Kleywegt

Deep learning requires regularization mechanisms to reduce overfitting and improve generalization. We address this problem by a new regularization method based on distributional robust optimization. The key idea is to modify the…

In the era of exceptionally data-hungry models, careful selection of the training data is essential to mitigate the extensive costs of deep learning. Data pruning offers a solution by removing redundant or uninformative samples from the…

机器学习 · 计算机科学 2025-02-11 Artem Vysogorets , Kartik Ahuja , Julia Kempe

In this paper, we consider learning scenarios where the learned model is evaluated under an unknown test distribution which potentially differs from the training distribution (i.e. distribution shift). The learner has access to a family of…

机器学习 · 计算机科学 2022-02-14 Alekh Agarwal , Tong Zhang

In recent years, two prominent paradigms have shaped distributionally robust optimization (DRO), modeling distributional ambiguity through $\phi$-divergences and Wasserstein distances, respectively. While the former focuses on ambiguity in…

最优化与控制 · 数学 2025-12-22 Jose Blanchet , Daniel Kuhn , Jiajin Li , Bahar Taskesen

We propose a mathematically principled PDE gradient flow framework for distributionally robust optimization (DRO). Exploiting the recent advances in the intersection of Markov Chain Monte Carlo sampling and gradient flow theory, we show…

最优化与控制 · 数学 2026-05-27 Zusen Xu , Jia-Jie Zhu

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

To address the needs of modeling uncertainty in sensitive machine learning applications, the setup of distributionally robust optimization (DRO) seeks good performance uniformly across a variety of tasks. The recent multi-distribution…

机器学习 · 统计学 2026-01-01 Rafael Hanashiro , Patrick Jaillet

Submodular functions have applications throughout machine learning, but in many settings, we do not have direct access to the underlying function $f$. We focus on stochastic functions that are given as an expectation of functions over a…

机器学习 · 计算机科学 2018-06-07 Matthew Staib , Bryan Wilder , Stefanie Jegelka

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

Training machine learning and statistical models often involves optimizing a data-driven risk criterion. The risk is usually computed with respect to the empirical data distribution, but this may result in poor and unstable out-of-sample…

机器学习 · 统计学 2024-11-11 Nicola Bariletto , Nhat Ho

Data-driven decision-making is performed by solving a parameterized optimization problem, and the optimal decision is given by an optimal solution for unknown true parameters. We often need a solution that satisfies true constraints even…

最优化与控制 · 数学 2020-03-03 Akihiro Yabe , Takanori Maehara

Single-level reformulations of (non-convex) distributionally robust optimization (DRO) problems are often intractable, as they contain semiinfinite dual constraints. Based on such a semiinfinite reformulation, we present a safe…

最优化与控制 · 数学 2025-06-09 J. Dienstbier , F. Liers , J. Rolfes