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With the rise of social networks, information on the internet is no longer solely organized by web pages. Rather, content is generated and shared among users and organized around their social relations on social networks. This presents new…

Information Retrieval · Computer Science 2020-05-12 Yunzhong He , Wenyuan Li , Liang-Wei Chen , Gabriel Forgues , Xunlong Gui , Sui Liang , Bo Hou

Graph datasets are frequently constructed by a projection of a bipartite graph, where two nodes are connected in the projection if they share a common neighbor in the bipartite graph; for example, a coauthorship graph is a projection of an…

Social and Information Networks · Computer Science 2020-07-03 Austin R. Benson , Paul Liu , Hao Yin

We consider matrix completion for recommender systems from the point of view of link prediction on graphs. Interaction data such as movie ratings can be represented by a bipartite user-item graph with labeled edges denoting observed…

Machine Learning · Statistics 2017-10-27 Rianne van den Berg , Thomas N. Kipf , Max Welling

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

PageRank is a well-known algorithm whose robustness helps set a standard benchmark when processing graphs and analytical problems. The PageRank algorithm serves as a standard for many graph analytics and a foundation for extracting graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Hemalatha Eedi , Sahith Karra , Sathya Peri , Neha Ranabothu , Rahul Utkoor

In recommender systems, user-item interactions can be modeled as a bipartite graph, where user and item nodes are connected by undirected edges. This graph-based view has motivated the rapid adoption of graph neural networks (GNNs), which…

The class of bipartite permutation graphs enjoys many nice and important properties. In particular, this class is critically important in the study of clique- and rank-width of graphs, because it is one of the minimal hereditary classes of…

Combinatorics · Mathematics 2020-10-28 Bogdan Alecu , Vadim Lozin , Dmitriy Malyshev

Foursquare is an online social network and can be represented with a bipartite network of users and venues. A user-venue pair is connected if a user has checked-in at that venue. In the case of Foursquare, network analysis techniques can be…

Social and Information Networks · Computer Science 2016-02-12 Rok Fortuna , Urban Marovt

PageRank is a Web page ranking technique that has been a fundamental ingredient in the development and success of the Google search engine. The method is still one of the many signals that Google uses to determine which pages are most…

Information Retrieval · Computer Science 2010-08-17 Massimo Franceschet

Similarity search over a bipartite graph aims to retrieve from the graph the nodes that are similar to each other, which finds applications in various fields such as online advertising, recommender systems etc. Existing similarity measures…

Social and Information Networks · Computer Science 2023-12-13 Renchi Yang

Bipartite ranking, which aims to learn a scoring function that ranks positive individuals higher than negative ones from labeled data, is widely adopted in various applications where sample prioritization is needed. Recently, there have…

Machine Learning · Computer Science 2021-06-08 Sen Cui , Weishen Pan , Changshui Zhang , Fei Wang

A bipartite network is a graph structure where nodes are from two distinct domains and only inter-domain interactions exist as edges. A large number of network embedding methods exist to learn vectorial node representations from general…

Machine Learning · Computer Science 2021-02-15 Hansheng Xue , Luwei Yang , Vaibhav Rajan , Wen Jiang , Yi Wei , Yu Lin

We introduce Biased TextRank, a graph-based content extraction method inspired by the popular TextRank algorithm that ranks text spans according to their importance for language processing tasks and according to their relevance to an input…

Computation and Language · Computer Science 2020-11-03 Ashkan Kazemi , Verónica Pérez-Rosas , Rada Mihalcea

In the last few years we have witnessed the emergence, primarily in on-line communities, of new types of social networks that require for their representation more complex graph structures than have been employed in the past. One example is…

Physics and Society · Physics 2009-08-13 Gourab Ghoshal , Vinko Zlatic , Guido Caldarelli , M. E. J. Newman

The switching model is a Markov chain approach to sample graphs with fixed degree sequence uniformly at random. The recently invented Curveball algorithm for bipartite graphs applies several switches simultaneously (`trades'). Here, we…

Combinatorics · Mathematics 2018-07-27 Corrie Jacobien Carstens , Annabell Berger , Giovanni Strona

Graph neural networks emerge as a promising modeling method for applications dealing with datasets that are best represented in the graph domain. In specific, developing recommendation systems often require addressing sparse structured data…

Machine Learning · Computer Science 2020-08-03 Dom Huh

We show that certain Graph Laplacian linear sets of equations exhibit optimal accuracy, guaranteeing that the relative error is no larger than the norm of the relative residual and that optimality occurs for carefully chosen right-hand…

Numerical Analysis · Mathematics 2024-05-14 Richard B. Lehoucq , Michael Weylandt , Jonathan W. Berry

We revisit the celebrated Ranking algorithm by Karp, Vazirani, and Vazirani (STOC 1990) for online bipartite matching under the random arrival model, that is shown to be $0.696$-competitive for unweighted graphs by Mahdian and Yan (STOC…

Data Structures and Algorithms · Computer Science 2025-03-07 Bo Peng , Zhihao Gavin Tang

We propose RoBiRank, a ranking algorithm that is motivated by observing a close connection between evaluation metrics for learning to rank and loss functions for robust classification. The algorithm shows a very competitive performance on…

Machine Learning · Statistics 2014-08-22 Hyokun Yun , Parameswaran Raman , S. V. N. Vishwanathan

As a natural extension of link prediction on graphs, hyperlink prediction aims for the inference of missing hyperlinks in hypergraphs, where a hyperlink can connect more than two nodes. Hyperlink prediction has applications in a wide range…

Machine Learning · Computer Science 2023-07-07 Can Chen , Yang-Yu Liu