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We propose a data-driven portfolio selection model that integrates side information, conditional estimation and robustness using the framework of distributionally robust optimization. Conditioning on the observed side information, the…

Portfolio Management · Quantitative Finance 2024-04-10 Viet Anh Nguyen , Fan Zhang , Shanshan Wang , Jose Blanchet , Erick Delage , Yinyu Ye

Despite superior performance in many situations, deep neural networks are often vulnerable to adversarial examples and distribution shifts, limiting model generalization ability in real-world applications. To alleviate these problems,…

Machine Learning · Computer Science 2023-02-14 Hoang Phan , Trung Le , Trung Phung , Tuan Anh Bui , Nhat Ho , Dinh Phung

This article aims to introduce the paradigm of distributional robustness from the field of convex optimization to tackle optimal design problems under uncertainty. We consider realistic situations where the physical model, and thereby the…

Optimization and Control · Mathematics 2025-07-30 Charles Dapogny , Julien Prando , Boris Thibert

This study introduces adaptive robust optimization (ARO) and adaptive robust stochastic optimization (ARSO) approaches to address long- and short-term uncertainties in the optimal sizing and placement of distributed energy resources in…

Optimization and Control · Mathematics 2025-03-25 Fernando García-Muñoz , Cristian Duran-Mateluna

Integrative analysis of multiple datasets for estimating optimal individualized treatment rules (ITRs) can enhance decision efficiency. A central challenge is posterior shift, wherein the conditional distribution of potential outcomes given…

Machine Learning · Statistics 2026-03-09 Wenhai Cui , Wen Su , Xingqiu Zhao

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).…

Machine Learning · Computer Science 2020-04-03 Shiori Sagawa , Pang Wei Koh , Tatsunori B. Hashimoto , Percy Liang

Distributionally robust optimization (DRO) has shown lot of promise in providing robustness in learning as well as sample based optimization problems. We endeavor to provide DRO solutions for a class of sum of fractionals, non-convex…

Machine Learning · Computer Science 2022-06-01 Avinandan Bose , Arunesh Sinha , Tien Mai

We consider a class of stochastic interdiction games between an upper-level decision-maker (the leader) and a lower-level decision-maker (the follower), where uncertainty lies in the follower's objective function coefficients. Specifically,…

Optimization and Control · Mathematics 2026-05-15 Sergey S. Ketkov , Oleg A. Prokopyev

Data-driven distributionally robust optimization is a recently emerging paradigm aimed at finding a solution that is driven by sample data but is protected against sampling errors. An increasingly popular approach, known as Wasserstein…

Optimization and Control · Mathematics 2022-07-20 Jonathan Yu-Meng Li , Tiantian Mao

Language models are generally trained on data spanning a wide range of topics (e.g., news, reviews, fiction), but they might be applied to an a priori unknown target distribution (e.g., restaurant reviews). In this paper, we first show that…

Computation and Language · Computer Science 2019-09-06 Yonatan Oren , Shiori Sagawa , Tatsunori B. Hashimoto , Percy Liang

We study a stochastic program where the probability distribution of the uncertain problem parameters is unknown and only indirectly observed via finitely many correlated samples generated by an unknown Markov chain with $d$ states. We…

Optimization and Control · Mathematics 2021-06-15 Mengmeng Li , Tobias Sutter , Daniel Kuhn

Policy learning using historical observational data is an important problem that has found widespread applications. Examples include selecting offers, prices, advertisements to send to customers, as well as selecting which medication to…

Machine Learning · Computer Science 2023-09-13 Nian Si , Fan Zhang , Zhengyuan Zhou , Jose Blanchet

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…

Optimization and Control · Mathematics 2025-05-28 Karthik Natarajan , Divya Padmanabhan , Arjun Ramachandra

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…

Optimization and Control · Mathematics 2022-09-20 Francesco Micheli , Tyler Summers , John Lygeros

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…

Machine Learning · Computer Science 2021-11-15 Qi Qi , Zhishuai Guo , Yi Xu , Rong Jin , Tianbao Yang

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…

Machine Learning · Computer Science 2025-02-11 Artem Vysogorets , Kartik Ahuja , Julia Kempe

Logistic regression models are widely used in the social and behavioral sciences and in high-stakes domains, due to their simplicity and interpretability properties. At the same time, such domains are permeated by distribution shifts, where…

Machine Learning · Computer Science 2025-03-18 Qingshi Sun , Nathan Justin , Andres Gomez , Phebe Vayanos

In this paper we develop a Stochastic Gradient Langevin Dynamics (SGLD) algorithm tailored for solving a certain class of non-convex distributionally robust optimisation (DRO) problems. By deriving non-asymptotic convergence bounds, we…

Optimization and Control · Mathematics 2026-05-08 Ariel Neufeld , Matthew Ng Cheng En , Ying Zhang

We consider statistical methods which invoke a min-max distributionally robust formulation to extract good out-of-sample performance in data-driven optimization and learning problems. Acknowledging the distributional uncertainty in learning…

Statistics Theory · Mathematics 2021-08-05 Jose Blanchet , Karthyek Murthy , Viet Anh Nguyen

Recommender systems play an essential role in online services by providing personalized item lists to support users' decision-making processes. While collaborative filtering methods can achieve high accuracy, it is crucial to consider not…

Optimization and Control · Mathematics 2026-03-24 Tomoya Yanagi , Shunnosuke Ikeda , Ken Kobayashi , Yuichi Takano