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In many realistic problems of allocating resources, economy efficiency must be taken into consideration together with social equality, and price rigidities are often made according to some economic and social needs. We study the…

Computer Science and Game Theory · Computer Science 2014-05-27 Wei Huang , Jian Lou , Zhonghua Wen

We consider here the MultiBot problem for the scheduling and the resource parametrization of jobs related to the production or the transportation of different products inside a given time horizon. Those jobs must meet known in advance…

Data Structures and Algorithms · Computer Science 2024-01-02 Pierre Bergé , Mari Chaikovskaia , Jean-Philippe Gayon , Alain Quilliot

The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

Optimization and Control · Mathematics 2018-03-29 Omid Nohadani , Kartikey Sharma

The performance of machine learning models under distribution shift has been the focus of the community in recent years. Most of current methods have been proposed to improve the robustness to distribution shift from the algorithmic…

Computer Vision and Pattern Recognition · Computer Science 2022-05-26 Ziquan Liu , Yi Xu , Yuanhong Xu , Qi Qian , Hao Li , Rong Jin , Xiangyang Ji , Antoni B. Chan

We present a conceptual framework for the dynamic traffic resources allocation problem in a situation of elastic demand among customers. We introduce an activity-based model to express customers' successive actions and transfers in order to…

Computer Science and Game Theory · Computer Science 2018-06-29 Keiichiro Hayakawa , Eiji Hato

Suppose we are given two datasets: a labeled dataset and unlabeled dataset which also has additional auxiliary features not present in the first dataset. What is the most principled way to use these datasets together to construct a…

Machine Learning · Computer Science 2023-06-16 Pranjal Awasthi , Christopher Jung , Jamie Morgenstern

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…

Optimization and Control · Mathematics 2021-05-05 Linfeng Yang , Ying Yang , Guo Chen , Zhaoyang Dong

An integration of distributionally robust risk allocation into sampling-based motion planning algorithms for robots operating in uncertain environments is proposed. We perform non-uniform risk allocation by decomposing the distributionally…

Robotics · Computer Science 2023-05-16 Kajsa Ekenberg , Venkatraman Renganathan , Björn Olofsson

Many real-life planning problems require making a priori decisions before all parameters of the problem have been revealed. An important special case of such problem arises in scheduling problems, where a set of tasks needs to be assigned…

Data Structures and Algorithms · Computer Science 2016-07-11 David Adjiashvili , Viktor Bindewald , Dennis Michaels

Distributionally Robust Optimization (DRO), as a popular method to train robust models against distribution shift between training and test sets, has received tremendous attention in recent years. In this paper, we propose and analyze…

Machine Learning · Computer Science 2023-08-17 Qi Qi , Jiameng Lyu , Kung sik Chan , Er Wei Bai , Tianbao Yang

One of the major issues with the integration of renewable energy sources into the power grid is the increased uncertainty and variability that they bring. If this uncertainty is not sufficiently addressed, it will limit the further…

Optimization and Control · Mathematics 2017-05-15 Joshua Comden , Zhenhua Liu , Yue Zhao

We propose a Distributionally Robust Optimization (DRO) formulation with a Wasserstein-based uncertainty set for selecting grouped variables under perturbations on the data for both linear regression and classification problems. The…

Machine Learning · Statistics 2020-06-12 Ruidi Chen , Ioannis Ch. Paschalidis

In this paper a class of optimization problems with uncertain linear constraints is discussed. It is assumed that the constraint coefficients are random vectors whose probability distributions are only partially known. Possibility theory is…

Optimization and Control · Mathematics 2021-11-30 Romain Guillaume , Adam Kasperski , Pawel Zielinski

Distributionally Robust Optimization (DRO), which aims to find an optimal decision that minimizes the worst case cost over the ambiguity set of probability distribution, has been widely applied in diverse applications, e.g., network…

Optimization and Control · Mathematics 2025-07-31 Yang Jiao , Kai Yang , Dongjin Song

Distributed computing systems often consist of hundreds of nodes, executing tasks with different resource requirements. Efficient resource provisioning and task scheduling in such systems are non-trivial and require close monitoring and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-10 Paul J. Pritz , Daniel Perez , Kin K. Leung

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…

Machine Learning · Computer Science 2023-10-31 Hisham Husain , Vu Nguyen , Anton van den Hengel

Reinforcement Learning has applications in field of mechatronics, robotics, and other resource-constrained control system. Problem of resource allocation is primarily solved using traditional predefined techniques and modern deep learning…

Machine Learning · Computer Science 2021-06-18 Neel Gandhi , Shakti Mishra

In this paper, an optimization problem with uncertain constraint coefficients is considered. Possibility theory is used to model the uncertainty. Namely, a joint possibility distribution in constraint coefficient realizations, called…

Optimization and Control · Mathematics 2023-09-07 Romain Guillaume , Adam Kasperski , Pawel Zielinski

A novel data-driven stochastic robust optimization (DDSRO) framework is proposed for optimization under uncertainty leveraging labeled multi-class uncertainty data. Uncertainty data in large datasets are often collected from various…

Machine Learning · Computer Science 2019-04-04 Chao Ning , Fengqi You

Demand response (DR), as one of the important energy resources in the future's grid, provides the services of peak shaving, enhancing the efficiency of renewable energy utilization with a short response period, and low cost. Various…

Artificial Intelligence · Computer Science 2022-02-10 Kuan-Cheng Lee , Hong-Tzer Yang , Wenjun Tang
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