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Relations between discrete quantities such as people, genes, or streets can be described by networks, which consist of nodes that are connected by edges. Network analysis aims to identify important nodes in a network and to uncover…

Numerical Analysis · Mathematics 2021-09-21 A. Concas , S. Noschese , L. Reichel , G. Rodriguez

We consider the question of speeding up classic graph algorithms with machine-learned predictions. In this model, algorithms are furnished with extra advice learned from past or similar instances. Given the additional information, we aim to…

Data Structures and Algorithms · Computer Science 2022-04-27 Justin Y. Chen , Sandeep Silwal , Ali Vakilian , Fred Zhang

With the advent of end-to-end deep learning approaches in machine translation, interest in word alignments initially decreased; however, they have again become a focus of research more recently. Alignments are useful for typological…

Computation and Language · Computer Science 2021-09-15 Ayyoob Imani , Masoud Jalili Sabet , Lütfi Kerem Şenel , Philipp Dufter , François Yvon , Hinrich Schütze

Collaborative filtering (CF) is one of the most successful and fundamental techniques in recommendation systems. In recent years, Graph Neural Network (GNN)-based CF models, such as NGCF [31], LightGCN [10] and GTN [9] have achieved…

Information Retrieval · Computer Science 2022-03-30 Hao-Ming Fu , Patrick Poirson , Kwot Sin Lee , Chen Wang

A class of random graph models is considered, combining features of exponential-family models and latent structure models, with the goal of retaining the strengths of both of them while reducing the weaknesses of each of them. An open…

Computation · Statistics 2020-07-21 Sergii Babkin , Jonathan Stewart , Xiaochen Long , Michael Schweinberger

Systems with two types of agents with a preference for heterophilous interaction produces networks that are more or less close to bipartite. We propose two measures quantifying the notion of bipartivity. The two measures--one well-known and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Petter Holme , Fredrik Liljeros , Christofer R. Edling , Beom Jun Kim

As a pivotal tool to alleviate the information overload problem, recommender systems aim to predict user's preferred items from millions of candidates by analyzing observed user-item relations. As for alleviating the sparsity and cold start…

Information Retrieval · Computer Science 2022-05-24 Yue Deng

It appeared recently that the classical random graph model used to represent real-world complex networks does not capture their main properties. Since then, various attempts have been made to provide accurate models. We study here a model…

Statistical Mechanics · Physics 2021-03-22 Jean-Loup Guillaume , Matthieu Latapy

In this paper we study the generalized version of weighted matching in bipartite networks. Consider a weighted matching in a bipartite network in which the nodes derive value from the split of the matching edge assigned to them if they are…

Optimization and Control · Mathematics 2010-11-16 Ankur Mani , Asuman Ozdaglar , Alex , Pentland

The hyperlink prediction task, that of proposing new links between webpages, can be used to improve search engines, expand the visibility of web pages, and increase the connectivity and navigability of the web. Hyperlink prediction is…

Data Structures and Algorithms · Computer Science 2016-11-29 Dario Garcia-Gasulla , Eduard Ayguadé , Jesús Labarta , Ulises Cortés , Toyotaro Suzumura

We propose a random bipartite graph with weights assigned to both parts of the vertex sets. Edges are formed independently with probabilities that depend on these weights. This bipartite graph naturally gives rise to a random intersection…

Probability · Mathematics 2025-06-10 Alastair Haig , Minmin Wang

The problem of recommender system is very popular with myriad available solutions. A novel approach that uses the link prediction problem in social networks has been proposed in the literature that model the typical user-item information as…

Information Retrieval · Computer Science 2021-02-19 T. Jaya Lakshmi , S. Durga Bhavani

Bipartite graph embedding has recently attracted much attention due to the fact that bipartite graphs are widely used in various application domains. Most previous methods, which adopt random walk-based or reconstruction-based objectives,…

Social and Information Networks · Computer Science 2020-12-11 Jiangxia Cao , Xixun Lin , Shu Guo , Luchen Liu , Tingwen Liu , Bin Wang

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

In this paper, based on the user-tag-object tripartite graphs, we propose a recommendation algorithm, which considers social tags as an important role for information retrieval. Besides its low cost of computational time, the experiment…

Information Retrieval · Computer Science 2013-06-19 Zi-Ke Zhang , Chuang Liu , Yi-Cheng Zhang , Tao Zhou

In many settings, a data curator links records from two files to produce datasets that are shared with secondary analysts. Analysts use the linked files to estimate models of interest, such as regressions. Such two-stage approaches do not…

Methodology · Statistics 2025-11-18 Xueyan Hu , Jerome P. Reiter

Link prediction is an important network science problem in many domains such as social networks, chem/bio-informatics, etc. Most of these networks are dynamic in nature with patterns evolving over time. In such cases, it is necessary to…

Social and Information Networks · Computer Science 2015-09-18 Jeyanthi Narasimhan , Lawrence Holder

This paper analyzes the problem of assigning weights to edges incrementally in a dynamic complete bipartite graph consisting of producer and consumer nodes. The objective is to minimize the overall cost while satisfying certain constraints.…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-03 Ankur Sahai

Online bipartite matching is a fundamental problem in online algorithms. The goal is to match two sets of vertices to maximize the sum of the edge weights, where for one set of vertices, each vertex and its corresponding edge weights appear…

Data Structures and Algorithms · Computer Science 2024-02-13 Hang Hu , Zhao Song , Runzhou Tao , Zhaozhuo Xu , Junze Yin , Danyang Zhuo

Bipartite graphs are widely used to model relationships between entities of different types, where nodes are divided into two disjoint sets. Similarity search, a fundamental operation that retrieves nodes similar to a given query node,…

Data Structures and Algorithms · Computer Science 2025-12-15 Xi Ou , Longlong Lin , Zeli Wang , Pingpeng Yuan , Rong-Hua Li