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Chance constraints are frequently used to limit the probability of constraint violations in real-world optimization problems where the constraints involve stochastic components. We study chance-constrained submodular optimization problems,…

最优化与控制 · 数学 2023-09-27 Xiankun Yan , Anh Viet Do , Feng Shi , Xiaoyu Qin , Frank Neumann

This work addresses inverse linear optimization where the goal is to infer the unknown cost vector of a linear program. Specifically, we consider the data-driven setting in which the available data are noisy observations of optimal…

最优化与控制 · 数学 2021-12-07 Rishabh Gupta , Qi Zhang

We propose a novel distribution-free scheme to solve optimization problems where the goal is to minimize the expected value of a cost function subject to probabilistic constraints. Unlike standard sampling-based methods, our idea consists…

最优化与控制 · 数学 2025-05-28 Francesco Cordiano , Matin Jafarian , Bart De Schutter

We study the implicit bias of optimization in robust empirical risk minimization (robust ERM) and its connection with robust generalization. In classification settings under adversarial perturbations with linear models, we study what type…

机器学习 · 计算机科学 2024-06-10 Nikolaos Tsilivis , Natalie Frank , Nathan Srebro , Julia Kempe

Regression methods are fundamental for scientific and technological applications. However, fitted models can be highly unreliable outside of their training domain, and hence the quantification of their uncertainty is crucial in many of…

机器学习 · 统计学 2024-03-05 Filippo Bigi , Sanggyu Chong , Michele Ceriotti , Federico Grasselli

Existing approaches of prescriptive analytics -- where inputs of an optimization model can be predicted by leveraging covariates in a machine learning model -- often attempt to optimize the mean value of an uncertain objective. However,…

机器学习 · 计算机科学 2025-03-05 Dimitris Bertsimas , Benjamin Boucher

Robust optimization provides a principled and unified framework to model many problems in modern operations research and computer science applications, such as risk measures minimization and adversarially robust machine learning. To use a…

最优化与控制 · 数学 2024-10-04 Hao Hao , Peter Zhang

Identifying clients with similar objectives and learning a model-per-cluster is an intuitive and interpretable approach to personalization in federated learning. However, doing so with provable and optimal guarantees has remained an open…

机器学习 · 计算机科学 2023-12-19 Mariel Werner , Lie He , Michael Jordan , Martin Jaggi , Sai Praneeth Karimireddy

Probabilistic Logic Programming is an effective formalism for encoding problems characterized by uncertainty. Some of these problems may require the optimization of probability values subject to constraints among probability distributions…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Damiano Azzolini , Fabrizio Riguzzi

Aiming to overcome some of the limitations of worst-case analysis, the recently proposed framework of "algorithms with predictions" allows algorithms to be augmented with a (possibly erroneous) machine-learned prediction that they can use…

计算机科学与博弈论 · 计算机科学 2024-03-28 Eric Balkanski , Vasilis Gkatzelis , Xizhi Tan , Cherlin Zhu

Problem definition: Mining for heterogeneous responses to an intervention is a crucial step for data-driven operations, for instance to personalize treatment or pricing. We investigate how to estimate price sensitivity from…

统计方法学 · 统计学 2025-01-08 Jean Pauphilet

Optimization under uncertainty deals with the problem of optimizing stochastic cost functions given some partial information on their inputs. These problems are extremely difficult to solve and yet pervade all areas of technological and…

Robust optimization is a popular paradigm for modeling and solving two- and multi-stage decision-making problems affected by uncertainty. In many real-world applications, the time of information discovery is decision-dependent and the…

最优化与控制 · 数学 2022-08-24 Phebe Vayanos , Angelos Georghiou , Han Yu

Robust optimization (RO) tackles data uncertainty by optimizing for the worst-case scenario of an uncertain parameter and, in its basic form, is sometimes criticized for producing overly-conservative solutions. To reduce the level of…

最优化与控制 · 数学 2022-02-21 Milad Dehghani Filabadi , Houra Mahmoudzadeh

A key strategy for balancing performance and cost in modern machine learning systems is to dynamically route queries to either a low-cost model or a more expensive oracle (such as a large pretrained model or human expert), an approach known…

机器学习 · 计算机科学 2026-05-11 Charlotte Peale , Siddartha Devic , Parikshit Gopalan , Udi Wieder , Aravind Gollakota

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

最优化与控制 · 数学 2013-07-30 Michal Kocvara

One of the arduous tasks in supply chain modelling is to build robust models against irregular variations. During the proliferation of time-series analyses and machine learning models, several modifications were proposed such as…

人工智能 · 计算机科学 2020-04-30 Heerok Banerjee , V. Ganapathy , V. M. Shenbagaraman

We study procurement design when the buyer is uncertain about both the value of the good and the seller's cost. The buyer has a conjectured model but does not fully trust it. She first identifies mechanisms that maximize her worst-case…

理论经济学 · 经济学 2025-12-10 Debasis Mishra , Sanket Patil , Alessandro Pavan

The last decade witnessed an explosion in the availability of data for operations research applications. Motivated by this growing availability, we propose a novel schema for utilizing data to design uncertainty sets for robust optimization…

最优化与控制 · 数学 2014-11-25 Dimitris Bertsimas , Vishal Gupta , Nathan Kallus

In this paper, we focus on the problem of robustifying reinforcement learning (RL) algorithms with respect to model uncertainties. Indeed, in the framework of model-based RL, we propose to merge the theory of constrained Markov decision…

机器学习 · 计算机科学 2020-10-13 Reazul Hasan Russel , Mouhacine Benosman , Jeroen Van Baar