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Maximum weight matching is one of the most fundamental combinatorial optimization problems with a wide range of applications in data mining and bioinformatics. Developing distributed weighted matching algorithms is challenging due to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-06 Sepehr Assadi , MohammadHossein Bateni , Vahab Mirrokni

This paper proposes a discrimination technique for vertices in a weighted network. We assume that the edge weights and adjacencies in the network are conditionally independent and that both sources of information encode class membership…

Machine Learning · Statistics 2019-06-10 Hayden Helm , Joshua Vogelstein , Carey Priebe

In the classical version of online bipartite matching, there is a given set of offline vertices (aka agents) and another set of vertices (aka items) that arrive online. When each item arrives, its incident edges -- the agents who like the…

Computer Science and Game Theory · Computer Science 2022-03-09 Hadi Hosseini , Zhiyi Huang , Ayumi Igarashi , Nisarg Shah

Recommendation systems have been integrated into the majority of large online systems to filter and rank information according to user profiles. It thus influences the way users interact with the system and, as a consequence, bias the…

Information Retrieval · Computer Science 2015-11-05 Arnaud De Myttenaere , Boris Golden , Bénédicte Le Grand , Fabrice Rossi

We present a $0.659$-competitive Quadratic Ranking algorithm for the Oblivious Bipartite Matching problem, a distribution-free version of Query-Commit Matching. This result breaks the $1-\frac{1}{e}$ barrier, addressing an open question…

Data Structures and Algorithms · Computer Science 2025-07-28 Zhiyi Huang , Enze Sun , Xiaowei Wu , Jiahao Zhao

We consider the problem of estimating the weight of a maximum weighted matching of a weighted graph $G(V,E)$ whose edges are revealed in a streaming fashion. We develop a reduction from the maximum weighted matching problem to the maximum…

Data Structures and Algorithms · Computer Science 2016-09-06 Elena Grigorescu , Morteza Monemizadeh , Samson Zhou

We study the online stochastic bipartite matching problem, in a form motivated by display ad allocation on the Internet. In the online, but adversarial case, the celebrated result of Karp, Vazirani and Vazirani gives an approximation ratio…

Data Structures and Algorithms · Computer Science 2009-05-27 Jon Feldman , Aranyak Mehta , Vahab Mirrokni , S. Muthukrishnan

On signed social networks, balanced and unbalanced triangles are a critical motif due to their role as the foundations of Structural Balance Theory. The uses for these motifs have been extensively explored in networks with known edge signs,…

Data Structures and Algorithms · Computer Science 2026-02-17 Alexander Zhou , Haoyang Li , Anxin Tian , Zhiyuan Li , Yue Wang

When designing a preemptive online algorithm for the maximum matching problem, we wish to maintain a valid matching M while edges of the underlying graph are presented one after the other. When presented with an edge e, the algorithm should…

Data Structures and Algorithms · Computer Science 2015-03-20 Leah Epstein , Asaf Levin , Danny Segev , Oren Weimann

Assessing uncertainty is an important step towards ensuring the safety and reliability of machine learning systems. Existing uncertainty estimation techniques may fail when their modeling assumptions are not met, e.g. when the data…

Machine Learning · Computer Science 2017-01-24 Volodymyr Kuleshov , Stefano Ermon

We design a generic method for reducing the task of finding weighted matchings to that of finding short augmenting paths in unweighted graphs. This method enables us to provide efficient implementations for approximating weighted matchings…

Data Structures and Algorithms · Computer Science 2018-11-08 Buddhima Gamlath , Sagar Kale , Slobodan Mitrović , Ola Svensson

We consider the Maximum-weight Matching (MWM) problem in the streaming sliding window model of computation. In this model, the input consists of a sequence of weighted edges on a given vertex set $V$ of size $n$. The objective is to…

Data Structures and Algorithms · Computer Science 2023-01-11 Cezar-Mihail Alexandru , Pavel Dvořák , Christian Konrad , Kheeran K. Naidu

We introduce a weighted version of the ranking algorithm by Karp et al. (STOC 1990), and prove a competitive ratio of 0.6534 for the vertex-weighted online bipartite matching problem when online vertices arrive in random order. Our result…

Data Structures and Algorithms · Computer Science 2019-09-13 Zhiyi Huang , Zhihao Gavin Tang , Xiaowei Wu , Yuhao Zhang

We consider the following stochastic matching problem on both weighted and unweighted graphs: A graph $G(V, E)$ along with a parameter $p \in (0, 1)$ is given in the input. Each edge of $G$ is realized independently with probability $p$.…

Data Structures and Algorithms · Computer Science 2018-11-09 Soheil Behnezhad , Alireza Farhadi , MohammadTaghi Hajiaghayi , Nima Reyhani

Many algorithms have been proposed for predicting missing edges in networks, but they do not usually take account of which edges are missing. We focus on networks which have missing edges of the form that is likely to occur in real…

Social and Information Networks · Computer Science 2011-11-22 Bowen Yan , Steve Gregory

We present a new online boosting algorithm for adapting the weights of a boosted classifier, which yields a closer approximation to Freund and Schapire's AdaBoost algorithm than previous online boosting algorithms. We also contribute a new…

Machine Learning · Statistics 2008-10-28 Raphael Pelossof , Michael Jones , Ilia Vovsha , Cynthia Rudin

A basic combinatorial online resource allocation problem is considered, where multiple servers have individual capacity constraints, and at each time slot, a set of jobs arrives, that have potentially different weights to different servers.…

Data Structures and Algorithms · Computer Science 2015-12-02 Ajil Jalal , Rahul Vaze , Umang Bhaskar

This doctoral thesis concerns novel distributed algorithms for weight balancing over directed (communication) topologies. A directed topology (digraph) with nonnegative (or positive) weights assigned on each edge is weight-balanced if, for…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-12 Apostolos I. Rikos

We provide online algorithms for secretary matching in general weighted graphs, under the well-studied models of vertex and edge arrivals. In both models, edges are associated with arbitrary weights that are unknown from the outset, and are…

Data Structures and Algorithms · Computer Science 2020-11-04 Tomer Ezra , Michal Feldman , Nick Gravin , Zhihao Gavin Tang

We revisit the fully online matching model (Huang et al., J.\ ACM, 2020), an extension of the classic online matching model due to Karp, Vazirani, and Vazirani (STOC 1990), which has recently received a lot of attention (Huang et al., SODA…

Data Structures and Algorithms · Computer Science 2021-09-07 Alexander Eckl , Anja Kirschbaum , Marilena Leichter , Kevin Schewior
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