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Complex networks have emerged as a simple yet powerful framework to represent and analyze a wide range of complex systems. The problem of ranking the nodes and the edges in complex networks is critical for a broad range of real-world…

Physics and Society · Physics 2017-08-30 Hao Liao , Manuel Sebastian Mariani , Matus Medo , Yi-Cheng Zhang , Ming-Yang Zhou

The bipartite graph is a ubiquitous data structure that can model the relationship between two entity types: for instance, users and items, queries and webpages. In this paper, we study the problem of ranking vertices of a bipartite graph,…

Information Retrieval · Computer Science 2017-08-16 Xiangnan He , Ming Gao , Min-Yen Kan , Dingxian Wang

Ranking nodes in networks according to a defined measure of importance is an extensively studied task, with applications in ecology, economic trade networks, and social networks. This paper introduces a method based on a non-linear…

Statistical Mechanics · Physics 2025-04-01 Andrea Mazzolini , Michele Caselle , Matteo Osella

The importance of a node in a directed graph can be measured by its PageRank. The PageRank of a node is used in a number of application contexts - including ranking websites - and can be interpreted as the average portion of time spent at…

Data Structures and Algorithms · Computer Science 2014-05-22 Balázs Csanád Csáji , Raphaël M. Jungers , Vincent D. Blondel

Recently bipartite graphs have been widely used to represent the relationship two sets of items for information retrieval applications. The Web offers a wide range of data which can be represented by bipartite graphs, such us movies and…

Information Retrieval · Computer Science 2015-07-21 Antonia Korba

PageRank is arguably the most popular ranking algorithm which is being applied in real systems ranging from information to biological and infrastructure networks. Despite its outstanding popularity and broad use in different areas of…

Physics and Society · Physics 2015-12-09 Manuel Sebastian Mariani , Matus Medo , Yi-Cheng Zhang

Bipartite ranking aims to learn a real-valued ranking function that orders positive instances before negative instances. Recent efforts of bipartite ranking are focused on optimizing ranking accuracy at the top of the ranked list. Most…

Machine Learning · Computer Science 2020-07-07 Nan Li , Rong Jin , Zhi-Hua Zhou

The ranking of nodes in a network according to their ``importance'' is a classic problem that has attracted the interest of different scientific communities in the last decades. The current COVID-19 pandemic has recently rejuvenated the…

Ranking algorithms are pervasive in our increasingly digitized societies, with important real-world applications including recommender systems, search engines, and influencer marketing practices. From a network science perspective,…

Physics and Society · Physics 2020-06-01 Manuel S. Mariani , Linyuan Lü

Many important multiple-objective decision problems can be cast within the framework of ranking under constraints and solved via a weighted bipartite matching linear program. Some of these optimization problems, such as personalized content…

Information Retrieval · Computer Science 2022-02-16 Yegor Tkachenko , Wassim Dhaouadi , Kamel Jedidi

When we search online for content, we are constantly exposed to rankings. For example, web search results are presented as a ranking, and online bookstores often show us lists of best-selling books. While popularity-based ranking algorithms…

Physics and Society · Physics 2019-03-28 Shilun Zhang , Matúš Medo , Linyuan Lü , Manuel Sebastian Mariani

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

The last decade has seen a revolution in the theory and application of machine learning and pattern recognition. Through these advancements, variable ranking has emerged as an active and growing research area and it is now beginning to be…

Computer Vision and Pattern Recognition · Computer Science 2017-06-20 Giorgio Roffo

Identifying the importance of nodes of complex networks is of interest to the research of Social Networks, Biological Networks etc.. Current researchers have proposed several measures or algorithms, such as betweenness, PageRank and HITS…

Social and Information Networks · Computer Science 2012-11-26 Bojin Zheng , Deyi Li , Guisheng Chen , Wenhua Du , Jianmin Wang

After the phenomenal success of the PageRank algorithm, many researchers have extended the PageRank approach to ranking graphs with richer structures beside the simple linkage structure. In some scenarios we have to deal with…

Numerical Analysis · Mathematics 2018-11-15 Gianna M. Del Corso , Francesco Romani

Identifying the most influential nodes in information networks has been the focus of many research studies. This problem has crucial applications in various contexts, such as controlling the propagation of viruses or rumours in real-world…

Social and Information Networks · Computer Science 2022-08-30 Ahmad Asgharian Rezaei , Justin Munoz , Mahdi Jalili , Hamid Khayyam

Due to the difficulty of acquiring large-scale explicit user feedback, implicit feedback (e.g., clicks or other interactions) is widely applied as an alternative source of data, where user-item interactions can be modeled as a bipartite…

Information Retrieval · Computer Science 2024-11-15 Xinyu He , Jose Sepulveda , Mostafa Rahmani , Alyssa Woo , Fei Wang , Hanghang Tong

The purpose of this article is to introduce a new analytical framework dedicated to measuring performance of recommender systems. The standard approach is to assess the quality of a system by means of accuracy related statistics. However,…

Artificial Intelligence · Computer Science 2010-10-29 Szymon Chojnacki , Mieczysław Kłopotek

Binary classification problems can be naturally modeled as bipartite graphs, where we attempt to classify right nodes based on their left adjacencies. We consider the case of labeled bipartite graphs in which some labels and edges are not…

Combinatorics · Mathematics 2018-11-13 R. W. R. Darling , Mark L. Velednitsky

Link directions are essential to the functionality of networks and their prediction is helpful towards a better knowledge of directed networks from incomplete real-world data. We study the problem of predicting the directions of some links…

Physics and Society · Physics 2013-07-16 Fangjian Guo , Zimo Yang , Tao Zhou
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