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We study the problem of online non-stochastic control (ONC), which is the control of a linear system under adversarial disturbances and adversarial cost functions, with the aim of minimizing the total cost incurred. A recent line of…

Optimization and Control · Mathematics 2026-04-21 Vijeth Hebbar , Spencer Hutchinson , Mahnoosh Alizadeh , Cédric Langbort

This paper describes a purely data-driven solution to a class of sequential decision-making problems with a large number of concurrent online decisions, with applications to computing systems and operations research. We assume that while…

Artificial Intelligence · Computer Science 2019-10-02 Hardik Meisheri , Vinita Baniwal , Nazneen N Sultana , Balaraman Ravindran , Harshad Khadilkar

Selecting a subset of promising candidates from a large pool is crucial across various scientific and real-world applications. Conformal selection offers a distribution-free and model-agnostic framework for candidate selection with…

Machine Learning · Statistics 2025-08-20 Kangdao Liu , Huajun Xi , Chi-Man Vong , Hongxin Wei

We revisit the online dynamic acknowledgment problem. In the problem, a sequence of requests arrive over time to be acknowledged, and all outstanding requests can be satisfied simultaneously by one acknowledgement. The goal of the problem…

Data Structures and Algorithms · Computer Science 2023-05-30 Sungjin Im , Benjamin Moseley , Chenyang Xu , Ruilong Zhang

We study Stochastic Online Correlated Selection (SOCS), a family of online rounding algorithms for Non-IID Stochastic Online Submodular Welfare Maximization and special cases such as Online Stochastic Matching, Stochastic AdWords, and…

Data Structures and Algorithms · Computer Science 2024-08-23 Ziyun Chen , Zhiyi Huang , Enze Sun

In online learning, the data is provided in a sequential order, and the goal of the learner is to make online decisions to minimize overall regrets. This note is concerned with continuous-time models and algorithms for several online…

Machine Learning · Statistics 2024-05-20 Lexing Ying

Current AI/ML methods for data-driven engineering use models that are mostly trained offline. Such models can be expensive to build in terms of communication and computing cost, and they rely on data that is collected over extended periods…

Machine Learning · Computer Science 2021-12-16 Xiaoxuan Wang , Rolf Stadler

We consider a generalization of the celebrated Online Convex Optimization (OCO) framework with adversarial online constraints. In this problem, an online learner interacts with an adversary sequentially over multiple rounds. At the…

Machine Learning · Computer Science 2026-01-07 Subhamon Supantha , Abhishek Sinha

We propose a novel gradient-based online optimization framework for solving stochastic programming problems that frequently arise in the context of cyber-physical and robotic systems. Our problem formulation accommodates constraints that…

Machine Learning · Computer Science 2026-01-06 Hao Ma , Melanie Zeilinger , Michael Muehlebach

Traditionally, the problem of apportioning the seats of a legislative body has been viewed as a one-shot process with no dynamic considerations. While this approach is reasonable for some settings, dynamic aspects play an important role in…

Computer Science and Game Theory · Computer Science 2025-10-17 Javier Cembrano , Jose Correa , Svenja M. Griesbach , Victor Verdugo

In the online simple knapsack problem items are presented in an iterative fashion and an algorithm has to decide for each item whether to reject or permanently include it into the knapsack without any knowledge about the rest of the…

Data Structures and Algorithms · Computer Science 2022-02-07 Hans-Joachim Boeckenhauer , Elisabet Burjons , Fabian Frei , Juraj Hromkovic , Henri Lotze , Peter Rossmanith

In order for an e-commerce platform to maximize its revenue, it must recommend customers items they are most likely to purchase. However, the company often has business constraints on these items, such as the number of each item in stock.…

Optimization and Control · Mathematics 2019-11-19 Andrea Boskovic , Qinyi Chen , Dominik Kufel , Zijie Zhou

We study generalizations of online bipartite matching in which each arriving vertex (customer) views a ranked list of offline vertices (products) and matches to (purchases) the first one they deem acceptable. The number of products that the…

Data Structures and Algorithms · Computer Science 2023-06-27 Brian Brubach , Nathaniel Grammel , Will Ma , Aravind Srinivasan

This paper studies the online correlated selection (OCS) problem. It was introduced by Fahrbach, Huang, Tao, and Zadimoghaddam (2020) to obtain the first edge-weighted online bipartite matching algorithm that breaks the $0.5$ barrier.…

Data Structures and Algorithms · Computer Science 2021-12-17 Ruiquan Gao , Zhongtian He , Zhiyi Huang , Zipei Nie , Bijun Yuan , Yan Zhong

In the online (time-series) search problem, a player is presented with a sequence of prices which are revealed in an online manner. In the standard definition of the problem, for each revealed price, the player must decide irrevocably…

Data Structures and Algorithms · Computer Science 2021-12-06 Spyros Angelopoulos , Shahin Kamali , Dehou Zhang

This paper considers online convex optimization (OCO) with stochastic constraints, which generalizes Zinkevich's OCO over a known simple fixed set by introducing multiple stochastic functional constraints that are i.i.d. generated at each…

Optimization and Control · Mathematics 2017-08-15 Hao Yu , Michael J. Neely , Xiaohan Wei

We study a generalization of the Online Convex Optimization (OCO) framework with time-varying adversarial constraints. In this setting, at each round, the learner selects an action from a convex decision set $X$, after which both a convex…

Machine Learning · Computer Science 2026-03-30 Dhruv Sarkar , Aprameyo Chakrabartty , Subhamon Supantha , Palash Dey , Abhishek Sinha

This paper provides threshold policies with tight guarantees for online selection with convex cost (OSCC). In OSCC, a seller wants to sell some asset to a sequence of buyers with the goal of maximizing her profit. The seller can produce…

Computer Science and Game Theory · Computer Science 2024-01-24 Xiaoqi Tan , Siyuan Yu , Raouf Boutaba , Alberto Leon-Garcia

We provide a simple $(1-O(\frac{1}{\sqrt{k}}))$-selectable Online Contention Resolution Scheme for $k$-uniform matroids against a fixed-order adversary. If $A_i$ and $G_i$ denote the set of selected elements and the set of realized active…

Data Structures and Algorithms · Computer Science 2023-11-28 Atanas Dinev , S. Matthew Weinberg

We consider the problem of online allocation (matching and assortments) of reusable resources where customers arrive sequentially in an adversarial fashion and allocated resources are used or rented for a stochastic duration that is drawn…

Data Structures and Algorithms · Computer Science 2022-07-20 Vineet Goyal , Garud Iyengar , Rajan Udwani