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For numerous online bipartite matching problems, such as edge-weighted matching and matching under two-sided vertex arrivals, the state-of-the-art fractional algorithms outperform their randomized integral counterparts. This gap is…

数据结构与算法 · 计算机科学 2022-11-08 Niv Buchbinder , Joseph , Naor , David Wajc

We study the online stochastic matching problem. Against the offline benchmark, Feldman, Gravin, and Lucier (SODA 2015) designed an optimal $0.5$-competitive algorithm. A recent line of work, initiated by Papadimitriou, Pollner, Saberi, and…

数据结构与算法 · 计算机科学 2025-03-26 Enze Sun , Zhihao Gavin Tang , Yifan Wang

Online learning algorithms are widely used in strategic multi-agent settings, including repeated auctions, contract design, and pricing competitions, where agents adapt their strategies over time. A key question in such environments is how…

计算机科学与博弈论 · 计算机科学 2025-03-07 Angelos Assos , Yuval Dagan , Nived Rajaraman

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 $1$…

数据结构与算法 · 计算机科学 2015-08-06 Marc P. Renault , Adi Rosén , Rob van Stee

Motivated by the desire to utilize a limited number of configurable optical switches by recent advances in Software Defined Networks (SDNs), we define an online problem which we call the Caching in Matchings problem. This problem has a…

数据结构与算法 · 计算机科学 2024-02-26 Yaniv Sadeh , Haim Kaplan

We investigate the problem of heterogeneous task assignment in crowdsourcing markets from the point of view of the requester, who has a collection of tasks. Workers arrive online one by one, and each declare a set of feasible tasks they can…

数据结构与算法 · 计算机科学 2015-08-17 Sepehr Assadi , Justin Hsu , Shahin Jabbari

We consider the matching problem on the line with advice complexity. We give a 1-competitive online algorithm with advice complexity $n-1,$ and show that there is no 1-competitive online algorithm reading less than $n-1$ bits of advice.…

数据结构与算法 · 计算机科学 2024-12-11 Béla Csaba , Judit Nagy-György

In many real life situations, including job and loan applications, gatekeepers must make justified and fair real-time decisions about a person's fitness for a particular opportunity. In this paper, we aim to accomplish approximate group…

机器学习 · 计算机科学 2021-05-26 Yi Sun , Ivan Ramirez , Alfredo Cuesta-Infante , Kalyan Veeramachaneni

We consider an online multi-weighted generalization of several classic online optimization problems, called the online combinatorial assignment problem. We are given an independence system over a ground set of elements and agents that…

数据结构与算法 · 计算机科学 2023-11-03 Javier Marinkovic , José A. Soto , Victor Verdugo

Online load balancing for heterogeneous machines aims to minimize the makespan (maximum machine workload) by scheduling arriving jobs with varying sizes on different machines. In the adversarial setting, where an adversary chooses not only…

数据结构与算法 · 计算机科学 2024-05-22 Sungjin Im , Ravi Kumar , Shi Li , Aditya Petety , Manish Purohit

We propose a $O(\log k \log n)$-competitive randomized algorithm for online node-weighted Steiner forest. This is essentially optimal and significantly improves over the previous bound of $O(\log^2 k \log n)$ by Hajiaghayi et al. [2017]. In…

数据结构与算法 · 计算机科学 2024-10-29 Sander Borst , Marek Eliáš , Moritz Venzin

Clique clustering is the problem of partitioning the vertices of a graph into disjoint clusters, where each cluster forms a clique in the graph, while optimizing some objective function. In online clustering, the input graph is given one…

数据结构与算法 · 计算机科学 2016-10-18 Marek Chrobak , Christoph Durr , Aleksander Fabijan , Bengt Nilsson

The online algorithm design was proposed to handle the caching problem when the future information is unknown. And currently, it draws more and more attentions from the researchers from the areas of microgrid, where the production of…

其他计算机科学 · 计算机科学 2015-04-22 Ying Zhang

Online Bipartite Matching with random user arrival is a fundamental problem in the online advertisement ecosystem. Over the last 30 years, many algorithms and impossibility results have been developed for this problem. In particular, the…

数据结构与算法 · 计算机科学 2025-04-29 Flavio Chierichetti , Mirko Giacchini , Alessandro Panconesi , Andrea Vattani

Online allocation problems with resource constraints have a rich history in operations research. In this paper, we introduce the \emph{regularized online allocation problem}, a variant that includes a non-linear regularizer acting on the…

最优化与控制 · 数学 2021-11-08 Santiago Balseiro , Haihao Lu , Vahab Mirrokni

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

机器学习 · 计算机科学 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

We revisit online binary classification by shifting the focus from competing with the best-in-class binary loss to competing against relaxed benchmarks that capture smoothed notions of optimality. Instead of measuring regret relative to the…

机器学习 · 统计学 2025-04-16 Omar Montasser , Abhishek Shetty , Nikita Zhivotovskiy

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…

数据结构与算法 · 计算机科学 2026-05-15 Mathis Degryse , Imrane Saakour , Christoph Dürr , Spyros Angelopoulos

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…

计算复杂性 · 计算机科学 2022-08-09 Clarence Gabriel R. Kasilag , Pollux M. Rey , Jhoirene B. Clemente

In the random-order online set cover problem, the instance with $m$ sets and $n$ elements is chosen in a worst-case fashion, but then the elements arrive in a uniformly random order. Can this random-order model allow us to circumvent the…

数据结构与算法 · 计算机科学 2025-11-11 Anupam Gupta , Marco Molinaro , Matteo Russo