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We address an optimization problem where the cost function is the expectation of a random mapping. To tackle the problem two approaches based on the approximation of the objective function by consensus-based particle optimization methods on…

Optimization and Control · Mathematics 2025-11-24 Sabrina Bonandin , Michael Herty

How to efficiently perform network tomography is a fundamental problem in network management and monitoring. A network tomography task usually consists of applying multiple probing experiments, e.g., across different paths or via different…

Networking and Internet Architecture · Computer Science 2025-10-22 Xuchuang Wang , Yu-Zhen Janice Chen , Matheus Guedes de Andrade , Mohammad Hajiesmaili , John C. S. Lui , Ting He , Don Towsley

Inspired by sequential budgeted allocation problems, we study the online matching problem with budget refills. In this context, we consider an online bipartite graph $G=(U,V,E)$, where the nodes in $V$ are discovered sequentially and nodes…

Data Structures and Algorithms · Computer Science 2025-07-08 Maria Cherifa , Clément Calauzènes , Vianney Perchet

We consider the allocation of limited resources to heterogeneous customers who arrive in an online fashion. We would like to allocate the resources "fairly", so that no group of customers is marginalized in terms of their overall service…

Data Structures and Algorithms · Computer Science 2021-05-24 Will Ma , Pan Xu , Yifan Xu

We consider the offline sorting buffer problem. The input is a sequence of items of different types. All items must be processed one by one by a server. The server is equipped with a random-access buffer of limited capacity which can be…

Data Structures and Algorithms · Computer Science 2010-09-23 Ho-Leung Chan , Nicole Megow , Rob van Stee , Rene Sitters

We consider the problem of online resource allocation with average budget constraints. At each time point the decision maker makes an irrevocable decision of whether to accept or reject a request before the next request arrives with the…

Methodology · Statistics 2025-09-29 Ruicheng Ao , Hongyu Chen , David Simchi-Levi , Feng Zhu

This paper studies high-speed online planning in dynamic environments. The problem requires finding time-optimal trajectories that conform to system dynamics, meeting computational constraints for real-time adaptation, and accounting for…

Robotics · Computer Science 2025-02-21 Gilhyun Ryou , Lukas Lao Beyer , Sertac Karaman

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

Machine Learning · Computer Science 2024-05-21 Jiashuo Jiang

Constrained $k$-submodular maximization is a general framework that captures many discrete optimization problems such as ad allocation, influence maximization, personalized recommendation, and many others. In many of these applications,…

Data Structures and Algorithms · Computer Science 2023-05-26 Fabian Spaeh , Alina Ene , Huy L. Nguyen

We investigate an optimization problem in a queueing system where the service provider selects the optimal service fee p and service capacity \mu to maximize the cumulative expected profit (the service revenue minus the capacity cost and…

Optimization and Control · Mathematics 2025-08-12 Xinyun Chen , Guiyu Hong , Yunan Liu

The Orienteering Problem (OP) is a well-studied routing problem that has been extended to incorporate uncertainties, reflecting stochastic or dynamic travel costs, prize-collection costs, and prizes. Existing approaches may, however, be…

Systems and Control · Electrical Eng. & Systems 2025-01-10 Qiuchen Qian , Yanran Wang , David Boyle

We examine the problem of smoothed online optimization, where a decision maker must sequentially choose points in a normed vector space to minimize the sum of per-round, non-convex hitting costs and the costs of switching decisions between…

Machine Learning · Computer Science 2022-10-28 Daan Rutten , Nico Christianson , Debankur Mukherjee , Adam Wierman

We study a type of reverse (procurement) auction problems in the presence of budget constraints. The general algorithmic problem is to purchase a set of resources, which come at a cost, so as not to exceed a given budget and at the same…

Computer Science and Game Theory · Computer Science 2016-10-05 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis

Sampling-based algorithms solve the path planning problem by generating random samples in the search-space and incrementally growing a connectivity graph or a tree. Conventionally, the sampling strategy used in these algorithms is biased…

Robotics · Computer Science 2021-02-26 Sagar Suhas Joshi , Seth Hutchinson , Panagiotis Tsiotras

The use of remote sensing in humanitarian crisis response missions is well-established and has proven relevant repeatedly. One of the problems is obtaining gold annotations as it is costly and time consuming which makes it almost impossible…

Computer Vision and Pattern Recognition · Computer Science 2022-02-11 Adrianna Janik , Kris Sankaran

A variant of the online knapsack problem is considered in the settings of trusted and untrusted predictions. In Unit Profit Knapsack, the items have unit profit, and it is easy to find an optimal solution offline: Pack as many of the…

Data Structures and Algorithms · Computer Science 2022-03-02 Joan Boyar , Lene M. Favrholdt , Kim S. Larsen

In the fixed budget thresholding bandit problem, an algorithm sequentially allocates a budgeted number of samples to different distributions. It then predicts whether the mean of each distribution is larger or lower than a given threshold.…

Machine Learning · Computer Science 2021-10-19 Reda Ouhamma , Rémy Degenne , Pierre Gaillard , Vianney Perchet

We study several questions related to diversifying search results. We give improved approximation algorithms in each of the following problems, together with some lower bounds. - We give a polynomial-time approximation scheme (PTAS) for a…

Data Structures and Algorithms · Computer Science 2022-03-04 Amir Abboud , Vincent Cohen-Addad , Euiwoong Lee , Pasin Manurangsi

We consider online learning when the time horizon is unknown. We apply a minimax analysis, beginning with the fixed horizon case, and then moving on to two unknown-horizon settings, one that assumes the horizon is chosen randomly according…

Machine Learning · Computer Science 2013-10-08 Haipeng Luo , Robert E. Schapire

In the uniformity testing task, an algorithm is provided with samples from an unknown probability distribution over a (known) finite domain, and must decide whether it is the uniform distribution, or, alternatively, if its total variation…

Data Structures and Algorithms · Computer Science 2025-08-05 Guy Blanc , Clément L. Canonne , Erik Waingarten