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In this paper, we propose a practical online method for solving a class of distributionally robust optimization (DRO) with non-convex objectives, which has important applications in machine learning for improving the robustness of neural…

机器学习 · 计算机科学 2021-11-15 Qi Qi , Zhishuai Guo , Yi Xu , Rong Jin , Tianbao Yang

In this paper, we study distributionally risk-receptive and distributionally robust (or risk-averse) multistage stochastic mixed-integer programs (denoted by DRR- and DRO-MSIPs). We present cutting plane-based and reformulation-based…

最优化与控制 · 数学 2024-09-26 Sumin Kang , Manish Bansal

We propose kernel distributionally robust optimization (Kernel DRO) using insights from the robust optimization theory and functional analysis. Our method uses reproducing kernel Hilbert spaces (RKHS) to construct a wide range of convex…

最优化与控制 · 数学 2021-06-28 Jia-Jie Zhu , Wittawat Jitkrittum , Moritz Diehl , Bernhard Schölkopf

Distributionally robust stochastic optimization (DRSO) is an approach to optimization under uncertainty in which, instead of assuming that there is a known true underlying probability distribution, one hedges against a chosen set of…

最优化与控制 · 数学 2022-05-03 Rui Gao , Anton J. Kleywegt

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

We consider a residuals-based distributionally robust optimization (DRO) model, where the underlying uncertainty depends on both covariate information and our decisions. We adopt both parametric and nonparametric regression models to learn…

最优化与控制 · 数学 2026-05-21 Qing Zhu , Xian Yu , Guzin Bayraksan

We study two-stage distributionally robust optimization (DRO) problems with decision-dependent information discovery (DDID) wherein (a portion of) the uncertain parameters are revealed only if an (often costly) investment is made in the…

最优化与控制 · 数学 2025-10-07 Qing Jin , Angelos Georghiou , Phebe Vayanos , Grani A. Hanasusanto

Accurate prediction with multimodal data-encompassing tabular, textual, and visual inputs or outputs-is fundamental to advancing analytics in diverse application domains. Traditional approaches often struggle to integrate heterogeneous data…

机器学习 · 统计学 2025-03-11 Xinyu Tian , Xiaotong Shen

Distributionally robust optimization (DRO) is a powerful framework for training robust models against data distribution shifts. This paper focuses on constrained DRO, which has an explicit characterization of the robustness level. Existing…

机器学习 · 统计学 2024-04-02 Qi Zhang , Yi Zhou , Ashley Prater-Bennette , Lixin Shen , Shaofeng Zou

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

Conventional supervised learning methods are often vulnerable to spurious correlations, particularly under distribution shifts in test data. To address this issue, several approaches, most notably Group DRO, have been developed. While these…

机器学习 · 计算机科学 2026-02-13 Sung Ho Jo , Seonghwi Kim , Minwoo Chae

Safely deploying robots in uncertain and dynamic environments requires a systematic accounting of various risks, both within and across layers in an autonomy stack from perception to motion planning and control. Many widely used motion…

系统与控制 · 电气工程与系统科学 2020-02-10 Venkatraman Renganathan , Iman Shames , Tyler H. Summers

Many machine learning tasks involve subpopulation shift where the testing data distribution is a subpopulation of the training distribution. For such settings, a line of recent work has proposed the use of a variant of empirical risk…

机器学习 · 计算机科学 2021-06-14 Runtian Zhai , Chen Dan , J. Zico Kolter , Pradeep Ravikumar

We present a novel data-driven distributionally robust Model Predictive Control formulation for unknown discrete-time linear time-invariant systems affected by unknown and possibly unbounded additive uncertainties. We use off-line collected…

最优化与控制 · 数学 2022-09-20 Francesco Micheli , Tyler Summers , John Lygeros

Overparameterized neural networks can be highly accurate on average on an i.i.d. test set yet consistently fail on atypical groups of the data (e.g., by learning spurious correlations that hold on average but not in such groups).…

机器学习 · 计算机科学 2020-04-03 Shiori Sagawa , Pang Wei Koh , Tatsunori B. Hashimoto , Percy Liang

We develop Distributionally Robust Optimization (DRO) formulations for Multivariate Linear Regression (MLR) and Multiclass Logistic Regression (MLG) when both the covariates and responses/labels may be contaminated by outliers. The DRO…

机器学习 · 统计学 2020-06-12 Ruidi Chen , Ioannis Ch. Paschalidis

Distributionally robust optimization (DRO) is a widely-used approach to learn models that are robust against distribution shift. Compared with the standard optimization setting, the objective function in DRO is more difficult to optimize,…

机器学习 · 计算机科学 2021-10-27 Jikai Jin , Bohang Zhang , Haiyang Wang , Liwei Wang

Utility preference robust optimization (PRO) has recently been proposed to deal with optimal decision making problems where the decision maker's (DM) preference over gains and losses is ambiguous. In this paper, we take a step further to…

最优化与控制 · 数学 2024-03-11 Jian Hu , Dali Zhang , Huifu Xu , Sainan Zhang

To ensure a successful bid while maximizing of profits, generation companies (GENCOs) need a self-scheduling strategy that can cope with a variety of scenarios. So distributionally robust opti-mization (DRO) is a good choice because that it…

最优化与控制 · 数学 2021-05-05 Linfeng Yang , Ying Yang , Guo Chen , Zhaoyang Dong

Distributionally Robust Optimization (DRO) has enabled to prove the equivalence between robustness and regularization in classification and regression, thus providing an analytical reason why regularization generalizes well in statistical…

最优化与控制 · 数学 2020-07-15 Esther Derman , Shie Mannor