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We demonstrate how analysis of co-clustering in bipartite networks may be used as a bridge to connect, compare and complement clustering results about community structure in two different spaces: single-mode bipartite network projections.…

Digital Libraries · Computer Science 2020-03-24 Vasyl Palchykov , Yurij Holovatch

Recent advances in bipartite consensus on matrix-weighted networks, where agents are divided into two disjoint sets with those in the same set agreeing on a certain value and those in different sets converging to opposite values, have…

Optimization and Control · Mathematics 2024-10-30 Chongzhi Wang , Haibin Shao , Ying Tan , Dewei Li

We consider the graph link prediction task, which is a classic graph analytical problem with many real-world applications. With the advances of deep learning, current link prediction methods commonly compute features from subgraphs centered…

Machine Learning · Computer Science 2020-10-21 Lei Cai , Jundong Li , Jie Wang , Shuiwang Ji

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

In this paper, we consider the problem of computing an optimal matching in a bipartite graph where elements of one side of the bipartition specify preferences over the other side, and one or both sides can have capacities and…

Data Structures and Algorithms · Computer Science 2018-10-09 Meghana Nasre , Prajakta Nimbhorkar , Nada Pulath

In this study, we evaluate causal inference estimators for online controlled bipartite graph experiments in a real marketplace setting. Our novel contribution is constructing a bipartite graph using in-experiment data, rather than relying…

Machine Learning · Computer Science 2024-09-09 Vaiva Pilkauskaitė , Jevgenij Gamper , Rasa Giniūnaitė , Agne Reklaitė

In this paper, we proposed a novel two-stage optimization method for network community partition, which is based on inherent network structure information. The introduced optimization approach utilizes the new network centrality measure of…

Social and Information Networks · Computer Science 2019-07-16 Yiguang Bai , Sanyang Liu , Ke Yin , Jing Yuan

We present a general framework for comparing multiple groups of documents. A bipartite graph model is proposed where document groups are represented as one node set and the comparison criteria are represented as the other node set. Using…

Computation and Language · Computer Science 2015-08-25 Arun S. Maiya

Two-stage bipartite matching is a fundamental problem of optimization under uncertainty introduced by Feng, Niazadeh, and Saberi (2021), who study it under the stochastic and adversarial paradigms of uncertainty. We propose a method to…

Data Structures and Algorithms · Computer Science 2024-11-06 Billy Jin , Will Ma

Multimodal recommender systems improve the performance of canonical recommender systems with no item features by utilizing diverse content types such as text, images, and videos, while alleviating inherent sparsity of user-item interactions…

Information Retrieval · Computer Science 2026-03-25 Yu-Seung Roh , Joo-Young Kim , Jin-Duk Park , Won-Yong Shin

Recommender Systems have proliferated as general-purpose approaches to model a wide variety of consumer interaction data. Specific instances make use of signals ranging from user feedback, item relationships, geographic locality, social…

Information Retrieval · Computer Science 2018-08-31 Wang-Cheng Kang , Mengting Wan , Julian McAuley

Given a bipartite graph that has a perfect matching, a prefect proportional allocation is an assignment of positive weights to the nodes of the right partition so that every left node is fractionally assigned to its neighbors in proportion…

Data Structures and Algorithms · Computer Science 2026-05-01 Daniel Hathcock , R. Ravi

We propose an unsupervised approach for linking records across arbitrarily many files, while simultaneously detecting duplicate records within files. Our key innovation involves the representation of the pattern of links between records as…

Methodology · Statistics 2015-11-03 Rebecca C. Steorts , Rob Hall , Stephen E. Fienberg

We propose a Bayesian methodology for one-mode projecting a bipartite network that is being observed across a series of discrete time steps. The resulting one mode network captures the uncertainty over the presence/absence of each link and…

Machine Learning · Statistics 2012-12-13 Ioannis Psorakis , Iead Rezek , Zach Frankel , Stephen J. Roberts

Link prediction requires predicting which new links are likely to appear in a graph. Being able to predict unseen links with good accuracy has important applications in several domains such as social media, security, transportation, and…

Social and Information Networks · Computer Science 2020-06-08 Ghadeer Abuoda , Gianmarco De Francisci Morales , Ashraf Aboulnaga

We introduce a new notation for representing labeled regular bipartite graphs of arbitrary degree. Several enumeration problems for labeled and unlabeled regular bipartite graphs have been introduced. A general algorithm for enumerating all…

Discrete Mathematics · Computer Science 2015-12-31 Vivek S. Nittoor

Suppose we are given a bipartite graph that admits a perfect matching and an adversary may delete any edge from the graph with the intention of destroying all perfect matchings. We consider the task of adding a minimum cost edge-set to the…

Data Structures and Algorithms · Computer Science 2018-12-06 Felix Hommelsheim , Moritz Mühlenthaler , Oliver Schaudt

As a common generalization of previously solved optimization problems concerning bipartite stable matchings, we describe a strongly polynomial network flow based algorithm for computing $\ell$ disjoint stable matchings with minimum total…

Computer Science and Game Theory · Computer Science 2025-11-14 Tamás Fleiner , András Frank , Tamás Király

We consider a two-sample hypothesis testing problem, where the distributions are defined on the space of undirected graphs, and one has access to only one observation from each model. A motivating example for this problem is comparing the…

Link prediction, the problem of identifying missing links among a set of inter-related data entities, is a popular field of research due to its application to graph-like domains. Producing consistent evaluations of the performance of the…

Social and Information Networks · Computer Science 2016-11-28 Dario Garcia-Gasulla , Eduard Ayguadé , Jesús Labarta , Ulises Cortés