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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

Triangle counting is a fundamental problem in graph mining, essential for analyzing graph streams with arbitrary edge orders. However, exact counting becomes impractical due to the massive size of real-world graph streams. To address this,…

Data Structures and Algorithms · Computer Science 2026-01-27 Wei Xuan , Yan Liang , Huawei Cao , Ning Lin , Xiaochun Ye , Dongrui Fan

Biclustering, also called co-clustering, block clustering, or two-way clustering, involves the simultaneous clustering of both the rows and columns of a data matrix into distinct groups, such that the rows and columns within a group display…

Optimization and Control · Mathematics 2024-12-06 Antonio M. Sudoso

We propose data-driven one-pass streaming algorithms for estimating the number of triangles and four cycles, two fundamental problems in graph analytics that are widely studied in the graph data stream literature. Recently, (Hsu 2018) and…

Data Structures and Algorithms · Computer Science 2022-03-21 Justin Y. Chen , Talya Eden , Piotr Indyk , Honghao Lin , Shyam Narayanan , Ronitt Rubinfeld , Sandeep Silwal , Tal Wagner , David P. Woodruff , Michael Zhang

How can we effectively and efficiently learn node representations in signed bipartite graphs? A signed bipartite graph is a graph consisting of two nodes sets where nodes of different types are positively or negative connected, and it has…

Machine Learning · Computer Science 2024-12-30 Gyeongmin Gu , Minseo Jeon , Hyun-Je Song , Jinhong Jung

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

Graph matching consists of aligning the vertices of two unlabeled graphs in order to maximize the shared structure across networks; when the graphs are unipartite, this is commonly formulated as minimizing their edge disagreements. In this…

Machine Learning · Statistics 2021-04-13 Jesús Arroyo , Carey E. Priebe , Vince Lyzinski

Deepfake detection has become a fundamental component of modern media forensics. Despite significant progress in detection accuracy, most existing methods remain computationally intensive and parameter-heavy, limiting their deployment on…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Xiangyu Li , Yujing Sun , Yuhang Zheng , Yuexin Ma , Kwok-Yan Lam

We unify and extend previous bijections on plane quadrangulations to bipartite and quasibipartite plane maps. Starting from a bipartite plane map with a distinguished edge and two distinguished corners (in the same face or in two different…

Combinatorics · Mathematics 2018-12-21 Jérémie Bettinelli

We introduce Tiered Sampling, a novel technique for approximate counting sparse motifs in massive graphs whose edges are observed in a stream. Our technique requires only a single pass on the data and uses a memory of fixed size $M$, which…

Data Structures and Algorithms · Computer Science 2017-10-06 Lorenzo De Stefani , Erisa Terolli , Eli Upfal

We address the problem of bias in automated face recognition and demographic attribute estimation algorithms, where errors are lower on certain cohorts belonging to specific demographic groups. We present a novel de-biasing adversarial…

Computer Vision and Pattern Recognition · Computer Science 2020-08-03 Sixue Gong , Xiaoming Liu , Anil K. Jain

In Bipartite Correlation Clustering (BCC) we are given a complete bipartite graph $G$ with `+' and `-' edges, and we seek a vertex clustering that maximizes the number of agreements: the number of all `+' edges within clusters plus all `-'…

Data Structures and Algorithms · Computer Science 2016-03-10 Megasthenis Asteris , Anastasios Kyrillidis , Dimitris Papailiopoulos , Alexandros G. Dimakis

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 describe a technique for drawing values from discrete distributions, such as sampling from the random variables of a mixture model, that avoids computing a complete table of partial sums of the relative probabilities. A table of…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-15 Guy L. Steele , Jean-Baptiste Tristan

Betweenness centrality is a classic measure that quantifies the importance of a graph element (vertex or edge) according to the fraction of shortest paths passing through it. This measure is notoriously expensive to compute, and the best…

Data Structures and Algorithms · Computer Science 2015-04-29 Nicolas Kourtellis , Gianmarco De Francisci Morales , Francesco Bonchi

Over-the-air computation (AirComp) has emerged as a promising technology that enables simultaneous transmission and computation through wireless channels. In this paper, we investigate the networked AirComp in multiple clusters allowing…

Signal Processing · Electrical Eng. & Systems 2025-05-19 Xiao Tang , Huirong Xiao , Chao Shen , Li Sun , Qinghe Du , Dusit Niyato , Zhu Han

Networks (or graphs) are used to model the dyadic relations between entities in a complex system. In cases where there exists multiple relations between the entities, the complex system can be represented as a multilayer network, where the…

Social and Information Networks · Computer Science 2019-10-04 Abhishek Santra , Sanjukta Bhowmick , Sharma Chakravarthy

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

Community detection, which focuses on recovering the group structure within networks, is a crucial and fundamental task in network analysis. However, the detection process can be quite challenging and unstable when community signals are…

Statistics Theory · Mathematics 2025-03-11 Tianchen Gao , Jingyuan Liu , Rui Pan , Ao Sun

Listing and counting triangles in graphs is a key algorithmic kernel for network analyses, including community detection, clustering coefficients, k-trusses, and triangle centrality. In this paper, we propose the novel concept of a…

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