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We study a general online linear optimization problem(OLO). At each round, a subset of objects from a fixed universe of $n$ objects is chosen, and a linear cost associated with the chosen subset is incurred. To measure the performance of…

Machine Learning · Statistics 2019-08-26 Sudeep Raja Putta , Abhishek Shetty

We consider an online scheduling problem, motivated by the issues present at the joints of networks using ATM and TCP/IP. Namely, IP packets have to broken down to small ATM cells and sent out before their deadlines, but cells corresponding…

Data Structures and Algorithms · Computer Science 2009-04-14 Christoph Durr , Lukasz Jez , Nguyen Kim Thang

We consider on-line density estimation with a parameterized density from the exponential family. The on-line algorithm receives one example at a time and maintains a parameter that is essentially an average of the past examples. After…

Machine Learning · Computer Science 2013-01-30 Katy S. Azoury , Manfred K. Warmuth

In the online general knapsack problem, an algorithm is presented with an item $x=(s,v)$ of size $s$ and value $v$ and must irrevocably choose to pack such an item into the knapsack or reject it before the next item appears. The goal is to…

Data Structures and Algorithms · Computer Science 2025-04-30 Elisabet Burjons , Matthias Gehnen

This paper addresses the problem of online learning in metric spaces using exponential weights. We extend the analysis of the exponentially weighted average forecaster, traditionally studied in a Euclidean settings, to a more abstract…

Machine Learning · Statistics 2021-03-29 Quentin Paris

We propose an exact polynomial algorithm for a resource allocation problem with convex costs and constraints on partial sums of resource consumptions, in the presence of either continuous or integer variables. No assumption of strict…

Data Structures and Algorithms · Computer Science 2014-04-29 Thibaut Vidal , Patrick Jaillet , Nelson Maculan

Efficient resource (re-)allocation is a critical challenge in optimizing productivity and sustainability within multi-party supply networks. In this work, we introduce the \textsc{Red-Blue Reinforcement} (R-BR) problem, where a service…

Data Structures and Algorithms · Computer Science 2026-02-24 Arun Kumar Das , Sandip Das , Sweta Das , Foivos Fioravantes , Nikolaos Melissinos

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 2024-01-03 Piao Hu , Jiashuo Jiang , Guodong Lyu , Hao Su

We define an online learning and optimization problem with discrete and irreversible decisions contributing toward a coverage target. In each period, a decision-maker selects facilities to open, receives information on the success of each…

Machine Learning · Computer Science 2026-03-06 Alexandre Jacquillat , Michael Lingzhi Li

Motivated by a transit line planning problem in transportation systems, we investigate the following capacitated assignment problem under a budget constraint. Our model involves $L$ bins and $P$ items. Each bin $l$ has a utilization cost…

Optimization and Control · Mathematics 2024-10-11 Hongyi Jiang , Samitha Samaranayake

We introduce and study a family of online metric problems with long-term constraints. In these problems, an online player makes decisions $\mathbf{x}_t$ in a metric space $(X,d)$ to simultaneously minimize their hitting cost…

Data Structures and Algorithms · Computer Science 2024-07-15 Adam Lechowicz , Nicolas Christianson , Bo Sun , Noman Bashir , Mohammad Hajiesmaili , Adam Wierman , Prashant Shenoy

A frequently studied performance measure in online optimization is competitive analysis. It corresponds to the worst-case ratio, over all possible inputs of an algorithm, between the performance of the algorithm and the optimal offline…

Optimization and Control · Mathematics 2024-05-30 Antoine Lhomme , Nicolas Catusse , Nadia Brauner

Intelligent techniques are urged to achieve automatic allocation of the computing resource in Open Radio Access Network (O-RAN), to save computing resource, increase utilization rate of them and decrease the delay. However, the existing…

Neural and Evolutionary Computing · Computer Science 2022-01-13 Gan Ruan , Leandro L. Minku , Zhao Xu , Xin Yao

This paper considers distributed online nonconvex optimization with time-varying inequality constraints over a network of agents, where the nonconvex local loss and convex local constraint functions can vary arbitrarily across iterations.…

Optimization and Control · Mathematics 2025-11-19 Kunpeng Zhang , Lei Xu , Xinlei Yi , Guanghui Wen , Ming Cao , Karl H. Johansson , Tianyou Chai , Tao Yang

We propose a regularized saddle-point algorithm for convex networked optimization problems with resource allocation constraints. Standard distributed gradient methods suffer from slow convergence and require excessive communication when…

Systems and Control · Computer Science 2012-08-16 Andrea Simonetto , Tamas Keviczky , Mikael Johansson

We present a new online learning algorithm for cumulative discounted gain. This learning algorithm does not use exponential weights on the experts. Instead, it uses a weighting scheme that depends on the regret of the master algorithm…

Computer Science and Game Theory · Computer Science 2008-07-01 Yoav Freund , Daniel Hsu

We consider the problem of optimally allocating resources across a set of transmitters and receivers in a wireless network. The resulting optimization problem takes the form of constrained statistical learning, in which solutions can be…

Signal Processing · Electrical Eng. & Systems 2020-07-15 Mark Eisen , Alejandro Ribeiro

Motivated by broad applications in various fields of engineering, we study a network resource allocation problem where the goal is to optimally allocate a fixed quantity of resources over a network of nodes. We consider large scale networks…

Optimization and Control · Mathematics 2018-08-06 Thinh T. Doan , Carolyn L. Beck

In this paper we present novel algorithmic solutions for several resource processing and data transfer multicriteria optimization problems. The results of most of the presented techniques are strategies which solve the considered problems…

Data Structures and Algorithms · Computer Science 2010-06-28 Mugurel Ionut Andreica , Nicolae Tapus

We address online linear optimization problems when the possible actions of the decision maker are represented by binary vectors. The regret of the decision maker is the difference between her realized loss and the best loss she would have…

Machine Learning · Computer Science 2013-04-02 Jean-Yves Audibert , Sébastien Bubeck , Gábor Lugosi