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The proportional fair resource allocation problem is a major problem studied in flow control of networks, operations research, and economic theory, where it has found numerous applications. This problem, defined as the constrained…

Optimization and Control · Mathematics 2022-11-29 Francisco Criado , David Martínez-Rubio , Sebastian Pokutta

We study a generalization of the advice complexity model of online computation in which the advice is provided by an untrusted source. Our objective is to quantify the impact of untrusted advice so as to design and analyze online algorithms…

Data Structures and Algorithms · Computer Science 2024-04-17 Spyros Angelopoulos , Christoph Dürr , Shendan Jin , Shahin Kamali , Marc Renault

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

Best subset selection is considered the `gold standard' for many sparse learning problems. A variety of optimization techniques have been proposed to attack this non-smooth non-convex problem. In this paper, we investigate the dual forms of…

Machine Learning · Computer Science 2024-12-31 Shaogang Ren , Xiaoning Qian

In the bin covering problem, the goal is to fill as many bins as possible up to a certain minimal level with a given set of items of different sizes. Online variants, in which the items arrive one after another and have to be packed…

Data Structures and Algorithms · Computer Science 2015-12-16 Carsten Fischer , Heiko Röglin

This paper addresses the design and analysis of feedback-based online algorithms to control systems or networked systems based on performance objectives and engineering constraints that may evolve over time. The emerging time-varying convex…

Optimization and Control · Mathematics 2019-03-27 Andrey Bernstein , Emiliano Dall'Anese , Andrea Simonetto

We consider the general problem of online convex optimization with time-varying additive constraints in the presence of predictions for the next cost and constraint functions. A novel primal-dual algorithm is designed by combining a…

Machine Learning · Computer Science 2022-01-11 Daron Anderson , George Iosifidis , Douglas J. Leith

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

Obtaining strong linear relaxations of capacitated covering problems constitute a major technical challenge even for simple settings. For one of the most basic cases, the Knapsack-Cover (Min-Knapsack) problem, the relaxation based on…

Data Structures and Algorithms · Computer Science 2019-12-30 Andrés Fielbaum , Ignacio Morales , José Verschae

We investigate the power of randomized algorithms for the maximum cardinality matching (MCM) and the maximum weight matching (MWM) problems in the online preemptive model. In this model, the edges of a graph are revealed one by one and the…

Data Structures and Algorithms · Computer Science 2015-07-03 Ashish Chiplunkar , Sumedh Tirodkar , Sundar Vishwanathan

In non-clairvoyant scheduling, the task is to find an online strategy for scheduling jobs with a priori unknown processing requirements with the objective to minimize the total (weighted) completion time. We revisit this well-studied…

Data Structures and Algorithms · Computer Science 2022-05-23 Alexander Lindermayr , Nicole Megow

This paper proposes online algorithms for dynamic matching markets in power distribution systems, which at any real-time operation instance decides about matching -- or delaying the supply of -- flexible loads with available renewable…

Systems and Control · Electrical Eng. & Systems 2020-07-17 Deepan Muthirayan , Masood Parvania , Pramod P. Khargonekar

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

We study the online bin packing problem under two stochastic settings. In the bin packing problem, we are given n items with sizes in (0,1] and the goal is to pack them into the minimum number of unit-sized bins. First, we study bin packing…

Data Structures and Algorithms · Computer Science 2025-03-05 Nikhil Ayyadevara , Rajni Dabas , Arindam Khan , K. V. N. Sreenivas

This paper investigates the distributed online optimization problem over a multi-agent network subject to local set constraints and coupled inequality constraints, which has a lot of applications in many areas, such as wireless sensor…

Optimization and Control · Mathematics 2020-07-14 Xiuxian Li , Xinlei Yi , Lihua Xie

A growing line of work shows how learned predictions can be used to break through worst-case barriers to improve the running time of an algorithm. However, incorporating predictions into data structures with strong theoretical guarantees…

Data Structures and Algorithms · Computer Science 2023-06-21 Samuel McCauley , Benjamin Moseley , Aidin Niaparast , Shikha Singh

We propose a new first-order primal-dual optimization framework for a convex optimization template with broad applications. Our optimization algorithms feature optimal convergence guarantees under a variety of common structure assumptions…

Optimization and Control · Mathematics 2018-02-23 Quoc Tran-Dinh , Olivier Fercoq , Volkan Cevher

Online classification is a central problem in optimization, statistical learning and data science. Classical algorithms such as the perceptron offer efficient updates and finite mistake guarantees on linearly separable data, but they do not…

Optimization and Control · Mathematics 2025-09-25 Nam Ho-Nguyen , Fatma Kılınç-Karzan , Ellie Nguyen , Lingqing Shen

We study the discrete bin covering problem where a multiset of items from a fixed set $S \subseteq (0,1]$ must be split into disjoint subsets while maximizing the number of subsets whose contents sum to at least $1$. We study the online…

Data Structures and Algorithms · Computer Science 2024-01-29 Magnus Berg , Shahin Kamali

Motivated by bursty bandwidth allocation and by the allocation of virtual machines to servers in the cloud, we consider the online problem of packing items with random sizes into unit-capacity bins. Items arrive sequentially, but upon…

Optimization and Control · Mathematics 2021-02-08 Sebastian Perez-Salazar , Mohit Singh , Alejandro Toriello