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Estimating the reachable set of a dynamical system is a fundamental problem in control theory, particularly when control inputs are bounded. Direct simulation using randomly sampled admissible controls often leads to trajectories that…

Optimization and Control · Mathematics 2025-11-20 Karthik Elamvazhuthi , Sachin Shivakumar

We introduce a natural online allocation problem that connects several of the most fundamental problems in online optimization. Let $M$ be an $n$-point metric space. Consider a resource that can be allocated in arbitrary fractions to the…

Data Structures and Algorithms · Computer Science 2021-12-01 Nikhil Bansal , Christian Coester

Offline-to-online learning aims to improve online decision-making by leveraging offline logged data. A central challenge in this setting is the distribution shift between offline and online environments. While some existing works attempt to…

Machine Learning · Computer Science 2026-05-15 Bochao Li , Yao Fu , Wei Chen , Fang Kong

Online platforms increasingly rely on sequential decision-making algorithms to allocate resources, match users, or control exposure, while facing growing pressure to ensure fairness over time. We study a general online decision-making…

Optimization and Control · Mathematics 2026-02-13 Rui Chen , Oktay Gunluk , Andrea Lodi , Guanyi Wang

In the online learning with experts problem, an algorithm must make a prediction about an outcome on each of $T$ days (or times), given a set of $n$ experts who make predictions on each day (or time). The algorithm is given feedback on the…

Data Structures and Algorithms · Computer Science 2023-03-06 David P. Woodruff , Fred Zhang , Samson Zhou

Existing approaches to resource allocation for nowadays stochastic networks are challenged to meet fast convergence and tolerable delay requirements. The present paper leverages online learning advances to facilitate stochastic resource…

Optimization and Control · Mathematics 2017-05-24 Tianyi Chen , Aryan Mokhtari , Xin Wang , Alejandro Ribeiro , Georgios B. Giannakis

The online knapsack problem is a classic problem in the field of online algorithms. Its canonical version asks how to pack items of different values and weights arriving online into a capacity-limited knapsack so as to maximize the total…

Machine Learning · Computer Science 2024-04-18 Adam Lechowicz , Rik Sengupta , Bo Sun , Shahin Kamali , Mohammad Hajiesmaili

This paper studies an online optimal resource reservation problem in communication networks with job transfers where the goal is to minimize the reservation cost while maintaining the blocking cost under a certain budget limit. To tackle…

Optimization and Control · Mathematics 2024-05-07 Ahmed Sid-Ali , Ioannis Lambadaris , Yiqiang Q. Zhao , Gennady Shaikhet , Amirhossein Asgharnia

Matching problems with group-fairness constraints and diversity constraints have numerous applications such as in allocation problems, committee selection, school choice, etc. Moreover, online matching problems have lots of applications in…

Data Structures and Algorithms · Computer Science 2023-08-04 Anand Louis , Meghana Nasre , Prajakta Nimbhorkar , Govind S. Sankar

The online assignment problem plays an important role in operational research and computer science which is why immense attention has been given to improving its solution quality. Due to the incomplete information about the input, it is…

Computational Complexity · Computer Science 2022-08-09 Clarence Gabriel R. Kasilag , Pollux M. Rey , Jhoirene B. Clemente

We address the problem of online sequential decision making, i.e., balancing the trade-off between exploiting the current knowledge to maximize immediate performance and exploring the new information to gain long-term benefits using the…

Machine Learning · Computer Science 2022-09-20 Kartik Anand Pant , Amod Hegde , K. V. Srinivas

Online bidding is a classical problem in online decision-making, with applications in resource allocation, hierarchical clustering, and the analysis of approximation algorithms. We study its randomized learning-augmented variant, where an…

Data Structures and Algorithms · Computer Science 2026-05-15 Mathis Degryse , Imrane Saakour , Christoph Dürr , Spyros Angelopoulos

Online Contention Resolution Schemes (OCRS's) represent a modern tool for selecting a subset of elements, subject to resource constraints, when the elements are presented to the algorithm sequentially. OCRS's have led to some of the…

Data Structures and Algorithms · Computer Science 2024-04-03 Calum MacRury , Will Ma , Nathaniel Grammel

We consider the setting of online computation with advice, and study the bin packing problem and a number of scheduling problems. We show that it is possible, for any of these problems, to arbitrarily approach a competitive ratio of $1$…

Data Structures and Algorithms · Computer Science 2015-08-06 Marc P. Renault , Adi Rosén , Rob van Stee

The development of online algorithms to track time-varying systems has drawn a lot of attention in the last years, in particular in the framework of online convex optimization. Meanwhile, sparse time-varying optimization has emerged as a…

Optimization and Control · Mathematics 2020-02-03 Sophie M. Fosson

The presence of data corruption in user-generated streaming data, such as social media, motivates a new fundamental problem that learns reliable regression coefficient when features are not accessible entirely at one time. Until now,…

Machine Learning · Computer Science 2019-02-06 Xuchao Zhang , Shuo Lei , Liang Zhao , Arnold P. Boedihardjo , Chang-Tien Lu

Online optimization problems arise in many resource allocation tasks, where the future demands for each resource and the associated utility functions change over time and are not known apriori, yet resources need to be allocated at every…

Optimization and Control · Mathematics 2015-02-06 Reza Eghbali , Jon Swenson , Maryam Fazel

We consider a stochastic online problem where $n$ applicants arrive over time, one per time step. Upon arrival of each applicant their cost per time step is revealed, and we have to fix the duration of employment, starting immediately. This…

Data Structures and Algorithms · Computer Science 2017-05-31 Yann Disser , John Fearnley , Martin Gairing , Oliver Göbel , Max Klimm , Daniel Schmand , Alexander Skopalik , Andreas Tönnis

We study the problem of estimating an unknown parameter in a distributed and online manner. Existing work on distributed online learning typically either focuses on asymptotic analysis, or provides bounds on regret. However, these results…

Systems and Control · Electrical Eng. & Systems 2022-09-15 Lei Xin , George Chiu , Shreyas Sundaram

We consider the problem of online allocation (matching, budgeted allocations, and assortments) of reusable resources where an adversarial sequence of resource requests is revealed over time and any allocated resource is used/rented for a…

Data Structures and Algorithms · Computer Science 2024-09-17 Vineet Goyal , Garud Iyengar , Rajan Udwani
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