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We consider the problem of distributionally robust multimodal machine learning. Existing approaches often rely on merging modalities on the feature level (early fusion) or heuristic uncertainty modeling, which downplays modality-aware…

机器学习 · 计算机科学 2025-11-11 Peilin Yang , Yu Ma

We consider a two-stage distributionally robust optimization (DRO) model with multimodal uncertainty, where both the mode probabilities and uncertainty distributions could be affected by the first-stage decisions. To address this setting,…

最优化与控制 · 数学 2026-02-03 Xian Yu , Beste Basciftci

We develop and analyze algorithms for distributionally robust optimization (DRO) of convex losses. In particular, we consider group-structured and bounded $f$-divergence uncertainty sets. Our approach relies on an accelerated method that…

最优化与控制 · 数学 2022-03-25 Yair Carmon , Danielle Hausler

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

We consider the penalized distributionally robust optimization (DRO) problem with a closed, convex uncertainty set, a setting that encompasses learning using $f$-DRO and spectral/$L$-risk minimization. We present Drago, a stochastic…

机器学习 · 统计学 2025-02-12 Ronak Mehta , Jelena Diakonikolas , Zaid Harchaoui

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

A common goal in statistics and machine learning is to learn models that can perform well against distributional shifts, such as latent heterogeneous subpopulations, unknown covariate shifts, or unmodeled temporal effects. We develop and…

机器学习 · 统计学 2020-07-21 John Duchi , Hongseok Namkoong

The study of robustness has received much attention due to its inevitability in data-driven settings where many systems face uncertainty. One such example of concern is Bayesian Optimization (BO), where uncertainty is multi-faceted, yet…

机器学习 · 计算机科学 2023-10-31 Hisham Husain , Vu Nguyen , Anton van den Hengel

Distributionally robust optimization (DRO) can improve the robustness and fairness of learning methods. In this paper, we devise stochastic algorithms for a class of DRO problems including group DRO, subpopulation fairness, and empirical…

机器学习 · 计算机科学 2025-02-03 Tasuku Soma , Khashayar Gatmiry , Sharut Gupta , Stefanie Jegelka

Managing insurance and financial risk when data is limited is a key task in the insurance industry. In this paper, we focus on cases where the risk distribution is modeled as a mixture with some components estimable to high precision or…

最优化与控制 · 数学 2026-03-03 N. D. Shyamalkumar , Tianrun Wang

Stochastic and (distributionally) robust optimization problems often become computationally challenging as the number of scenarios or data points increases. Scenario reduction is therefore a key technique for improving tractability. We…

最优化与控制 · 数学 2026-03-10 Kevin-Martin Aigner , Sebastian Denzler , Frauke Liers , Sebastian Pokutta , Kartikey Sharma

Distributionally robust optimization (DRO) is a worst-case framework for stochastic optimization under uncertainty that has drawn fast-growing studies in recent years. When the underlying probability distribution is unknown and observed…

最优化与控制 · 数学 2021-08-16 Shengyi He , Henry Lam

Various financial market scenarios may cause heterogeneous risk assessments among analysts, which motivates the usage of the Generalized Risk Measure in Fadina et al. (2024, Finance and Stochastics). Effectively synthesizing these diverse…

风险管理 · 定量金融 2026-03-13 Yang Liu , Yunran Wei , Xintao Ye

We investigate the use of distributionally robust optimization (DRO) as a tractable tool to recover the asymptotic statistical guarantees provided by the Central Limit Theorem, for maintaining the feasibility of an expected value constraint…

最优化与控制 · 数学 2016-05-31 Henry Lam

This paper studies Distributionally Robust Optimization (DRO), a fundamental framework for enhancing the robustness and generalization of statistical learning and optimization. An effective ambiguity set for DRO must involve distributions…

机器学习 · 计算机科学 2025-10-28 Jiaqi Wen , Jianyi Yang

Reinforcement learning from human feedback (RLHF) has become a core post-training step for aligning large language models, yet the reward signal used in RLHF is only a learned proxy for true human utility. From an operations research…

机器学习 · 计算机科学 2026-05-19 Yikai Wang , Shang Liu , Jose Blanchet

Distributionally robust optimization (DRO) is an effective framework for controlling real-world systems with various uncertainties, typically modeled using distributional uncertainty balls. However, DRO problems often involve infinitely…

最优化与控制 · 数学 2025-10-22 Yuma Shida , Yuji Ito

Reliability-based design optimization (RBDO) approaches aim to identify the best design of an engineering problem, whilst the probability of failure (PoF) remains below an acceptable value. Thus, the incorporation of the sharpest bounds on…

计算工程、金融与科学 · 计算机科学 2025-03-18 Niklas Miska , Daniel Balzani

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

Distributional reinforcement learning (DRL) enhances the understanding of the effects of the randomness in the environment by letting agents learn the distribution of a random return, rather than its expected value as in standard…

最优化与控制 · 数学 2024-03-26 Zifan Wang , Yulong Gao , Siyi Wang , Michael M. Zavlanos , Alessandro Abate , Karl H. Johansson