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Large Language Models (LLMs) tend to respond correctly to prompts that align well with the data they were trained and fine-tuned on. Yet, small shifts in wording, format, or language can trigger surprisingly large failures, especially on…

机器学习 · 计算机科学 2026-05-12 Yeping Jin , Jiaming Hu , Ioannis Ch. Paschalidis

While traditional Deep Learning (DL) optimization methods treat all training samples equally, Distributionally Robust Optimization (DRO) adaptively assigns importance weights to different samples. However, a significant gap exists between…

The idea of iterative process optimization based on collected output measurements, or "real-time optimization" (RTO), has gained much prominence in recent decades, with many RTO algorithms being proposed, researched, and developed. While…

最优化与控制 · 数学 2013-08-14 Gene A. Bunin , Grégory François , Dominique Bonvin

Significant outages from weather and climate extremes have highlighted the critical need for resilience-centered risk management of the grid. This paper proposes a multi-stage stochastic robust optimization (SRO) model that advances the…

多智能体系统 · 计算机科学 2022-05-24 Nariman L. Dehghani , Abdollah Shafieezadeh

Distributional shifts pose a significant challenge to achieving robustness in contemporary machine learning. To overcome this challenge, robust satisficing (RS) seeks a robust solution to an unspecified distributional shift while achieving…

机器学习 · 计算机科学 2023-08-17 Artun Saday , Yaşar Cahit Yıldırım , Cem Tekin

This paper investigates group distributionally robust optimization (GDRO) with the goal of learning a model that performs well over $m$ different distributions. First, we formulate GDRO as a stochastic convex-concave saddle-point problem,…

机器学习 · 计算机科学 2024-11-21 Lijun Zhang , Haomin Bai , Peng Zhao , Tianbao Yang , Zhi-Hua Zhou

While traditional distributionally robust optimization (DRO) aims to minimize the maximal risk over a set of distributions, Agarwal and Zhang (2022) recently proposed a variant that replaces risk with excess risk. Compared to DRO, the new…

最优化与控制 · 数学 2024-05-29 Lijun Zhang , Haomin Bai , Wei-Wei Tu , Ping Yang , Yao Hu

Machine learning algorithms in high-dimensional settings are highly susceptible to the influence of even a small fraction of structured outliers, making robust optimization techniques essential. In particular, within the…

机器学习 · 计算机科学 2025-04-25 Changyu Gao , Andrew Lowy , Xingyu Zhou , Stephen J. Wright

Stochastic optimization of continuous objectives is at the heart of modern machine learning. However, many important problems are of discrete nature and often involve submodular objectives. We seek to unleash the power of stochastic…

机器学习 · 计算机科学 2017-11-07 Mohammad Reza Karimi , Mario Lucic , Hamed Hassani , Andreas Krause

This work presents a new Distributionally Robust Optimization approach, using $p$-Wasserstein metrics, to analyze a stochastic program in a general context. The ambiguity set in this approach depends on the decision variable and is…

最优化与控制 · 数学 2023-03-08 Diego Fonseca , Mauricio Junca

To train machine learning models that are robust to distribution shifts in the data, distributionally robust optimization (DRO) has been proven very effective. However, the existing approaches to learning a distributionally robust model…

机器学习 · 计算机科学 2022-03-21 Farzin Haddadpour , Mohammad Mahdi Kamani , Mehrdad Mahdavi , Amin Karbasi

A robust-to-dynamics optimization (RDO) problem is an optimization problem specified by two pieces of input: (i) a mathematical program (an objective function $f:\mathbb{R}^n\rightarrow\mathbb{R}$ and a feasible set…

最优化与控制 · 数学 2023-11-27 Amir Ali Ahmadi , Oktay Gunluk

Recoverable robust optimization is a multi-stage approach, where it is possible to adjust a first-stage solution after the uncertain cost scenario is revealed. We analyze this approach for a class of selection problems. The aim is to choose…

最优化与控制 · 数学 2021-02-22 Marc Goerigk , Stefan Lendl , Lasse Wulf

Reinforcement learning (RL) policies often fail under dynamics that differ from training, a gap not fully addressed by domain randomization or existing adversarial RL methods. Distributionally robust RL provides a formal remedy but still…

机器学习 · 计算机科学 2026-04-16 Mintae Kim , Koushil Sreenath

Distributionally robust optimization (DRO) is a powerful technique to train robust models against data distribution shift. This paper aims to solve regularized nonconvex DRO problems, where the uncertainty set is modeled by a so-called…

最优化与控制 · 数学 2025-06-30 Yufeng Yang , Yi Zhou , Zhaosong Lu

We consider robust optimization problems, where the goal is to optimize an unknown objective function against the worst-case realization of an uncertain parameter. For this setting, we design a novel sample-efficient algorithm GP-MRO, which…

机器学习 · 计算机科学 2020-03-03 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

In this paper, we study the two-stage distributionally robust optimization (DRO) problem from the primal perspective. Unlike existing approaches, this perspective allows us to build a deeper and more intuitive understanding on DRO, to…

最优化与控制 · 数学 2024-12-31 Zhengsong Lu , Bo Zeng

Distributionally robust optimization is used to tackle decision making problems under uncertainty where the distribution of the uncertain data is ambiguous. Many ambiguity sets have been proposed for continuous uncertainty that build on…

最优化与控制 · 数学 2025-05-28 Karthik Natarajan , Divya Padmanabhan , Arjun Ramachandra

Distributionally robust stochastic optimization (DRSO) is a framework for decision-making problems under certainty, which finds solutions that perform well for a chosen set of probability distributions. Many different approaches for…

最优化与控制 · 数学 2017-01-17 Rui Gao , Anton J. Kleywegt

Achieving optimality and adversarial robustness in deep reinforcement learning has long been regarded as conflicting goals. Nonetheless, recent theoretical insights presented in CAR suggest a potential alignment, raising the important…

机器学习 · 计算机科学 2025-12-02 Haoran Li , Jiayu Lv , Congying Han , Zicheng Zhang , Anqi Li , Yan Liu , Tiande Guo , Nan Jiang