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Online paging is a fundamental problem in the field of online algorithms, in which one maintains a cache of $k$ slots as requests for fetching pages arrive online. In the weighted variant of this problem, each page has its own fetching…

Machine Learning · Computer Science 2024-10-29 Orin Levy , Noam Touitou , Aviv Rosenberg

In the weighted bipartite matching problem, the goal is to find a maximum-weight matching in a bipartite graph with nonnegative edge weights. We consider its online version where the first vertex set is known beforehand, but vertices of the…

Computer Science and Game Theory · Computer Science 2021-03-05 Rebecca Reiffenhäuser

Online matching is a fundamental problem in the study of online algorithms. We study the problem under a very general arrival model: the edge arrival model. Free disposal is an important notion in the online matching literature, which…

Data Structures and Algorithms · Computer Science 2024-10-30 Tianle Jiang , Yuhao Zhang

We consider the {\em stochastic matching} problem. An edge-weighted general (i.e., not necessarily bipartite) graph $G(V, E)$ is given in the input, where each edge in $E$ is {\em realized} independently with probability $p$; the…

Data Structures and Algorithms · Computer Science 2018-05-24 Soheil Behnezhad , Nima Reyhani

Low-distortional metric embeddings are a crucial component in the modern algorithmic toolkit. In an online metric embedding, points arrive sequentially and the goal is to embed them into a simple space irrevocably, while minimizing the…

Data Structures and Algorithms · Computer Science 2024-11-05 Sujoy Bhore , Arnold Filtser , Csaba D. Tóth

In recent work we presented a new approach to the analysis of weighted networks, by providing a straightforward generalization of any network measure defined on unweighted networks. This approach is based on the translation of a weighted…

Data Analysis, Statistics and Probability · Physics 2008-06-05 S. E. Ahnert , D. Garlaschelli , T. M. A. Fink , G. Caldarelli

This paper studies online algorithms augmented with multiple machine-learned predictions. While online algorithms augmented with a single prediction have been extensively studied in recent years, the literature for the multiple predictions…

Machine Learning · Computer Science 2022-07-14 Keerti Anand , Rong Ge , Amit Kumar , Debmalya Panigrahi

The online stochastic matching problem was introduced by [FMMM09], together with the $(1-\frac1e)$-competitive Suggested Matching algorithm. In the most general edge-weighted setting, this ratio has not been improved for more than one…

Data Structures and Algorithms · Computer Science 2026-05-12 Shuyi Yan

The online matching problem was introduced by Karp, Vazirani and Vazirani nearly three decades ago. In that seminal work, they studied this problem in bipartite graphs with vertices arriving only on one side, and presented optimal…

Data Structures and Algorithms · Computer Science 2019-04-18 Buddhima Gamlath , Michael Kapralov , Andreas Maggiori , Ola Svensson , David Wajc

We present a new approach to the calculation of measures in weighted networks, based on the translation of a weighted network into an ensemble of edges. This leads to a straightforward generalization of any measure defined on unweighted…

Statistical Mechanics · Physics 2009-07-06 S. E. Ahnert , D. Garlaschelli , T. M. Fink , G. Caldarelli

In this paper, we consider the online vertex-weighted bipartite matching problem in the random arrival model. We consider the generalization of the RANKING algorithm for this problem introduced by Huang, Tang, Wu, and Zhang (TALG 2019), who…

Data Structures and Algorithms · Computer Science 2022-11-09 Billy Jin , David P. Williamson

We provide prophet inequality algorithms for online weighted matching in general (non-bipartite) graphs, under two well-studied arrival models, namely edge arrival and vertex arrival. The weight of each edge is drawn independently from an…

Data Structures and Algorithms · Computer Science 2020-02-27 Tomer Ezra , Michal Feldman , Nick Gravin , Zhihao Gavin Tang

We consider the problem of finding \textit{semi-matching} in bipartite graphs which is also extensively studied under various names in the scheduling literature. We give faster algorithms for both weighted and unweighted case. For the…

Data Structures and Algorithms · Computer Science 2012-06-15 Jittat Fakcharoenphol , Bundit Laekhanukit , Danupon Nanongkai

In this paper we consider the Stochastic Matching problem, which is motivated by applications in kidney exchange and online dating. We are given an undirected graph in which every edge is assigned a probability of existence and a positive…

Data Structures and Algorithms · Computer Science 2015-05-07 Marek Adamczyk , Fabrizio Grandoni , Joydeep Mukherjee

Accurately predicting end-to-end network latency is essential for enabling reliable task offloading in real-time edge computing applications. This paper introduces a lightweight latency prediction scheme based on rational modelling that…

Networking and Internet Architecture · Computer Science 2025-11-05 Mohan Liyanage , Eldiyar Zhantileuov , Ali Kadhum Idrees , Rolf Schuster

In this paper, we study max-weight stochastic matchings on online bipartite graphs under both vertex and edge arrivals. We focus on designing polynomial time approximation algorithms with respect to the online benchmark, which was first…

Data Structures and Algorithms · Computer Science 2022-06-06 Mark Braverman , Mahsa Derakhshan , Antonio Molina Lovett

We study Matching and other related problems in a partial information setting where the agents' utilities for being matched to other agents are hidden and the mechanism only has access to ordinal preference information. Our model is…

Computer Science and Game Theory · Computer Science 2016-08-03 Elliot Anshelevich , Shreyas Sekar

We consider the problem of approximating a maximum weighted matching, when the edges of an underlying weighted graph $G(V,E)$ are revealed in a streaming fashion. We analyze a variant of the previously best-known…

Data Structures and Algorithms · Computer Science 2018-05-01 Elena Grigorescu , Morteza Monemizadeh , Samson Zhou

The connections in many networks are not merely binary entities, either present or not, but have associated weights that record their strengths relative to one another. Recent studies of networks have, by and large, steered clear of such…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman

Online bipartite matching with edge arrivals remained a major open question for a long time until a recent negative result by [Gamlath et al. FOCS 2019], who showed that no online policy is better than the straightforward greedy algorithm,…

Data Structures and Algorithms · Computer Science 2020-07-17 Nick Gravin , Zhihao Gavin Tang , Kangning Wang