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Butterflies are the smallest non-trivial subgraph in bipartite graphs, and therefore having efficient computations for analyzing them is crucial to improving the quality of certain applications on bipartite graphs. In this paper, we design…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-18 Jessica Shi , Julian Shun

We consider space-efficient single-pass estimation of the number of butterflies, a fundamental bipartite graph motif, from a massive bipartite graph stream where each edge represents a connection between entities in two different…

Data Structures and Algorithms · Computer Science 2019-08-30 Seyed-Vahid Sanei-Mehri , Yu Zhang , Ahmet Erdem Sariyuce , Srikanta Tirthapura

Temporal bipartite graphs are widely used to denote time-evolving relationships between two disjoint sets of nodes, such as customer-product interactions in E-commerce and user-group memberships in social networks. Temporal butterflies,…

Social and Information Networks · Computer Science 2023-10-19 Jiaxi Pu , Yanhao Wang , Yuchen Li , Xuan Zhou

Recent neural networks (NNs) with self-attention exhibit competitiveness across different AI domains, but the essential attention mechanism brings massive computation and memory demands. To this end, various sparsity patterns are introduced…

Hardware Architecture · Computer Science 2024-11-26 Haibin Wu , Wenming Li , Kai Yan , Zhihua Fan , Peiyang Wu , Yuqun Liu , Yanhuan Liu , Ziqing Qiang , Meng Wu , Kunming Liu , Xiaochun Ye , Dongrui Fan

Bipartite graphs serve as a natural model for representing relationships between two different types of entities. When analyzing bipartite graphs, butterfly counting is a fundamental research problem that aims to count the number of…

Databases · Computer Science 2026-03-24 Chi Luo , Jiaxin Song , Yuhao Zhang , Kai Wang , Zhixing He , Kuan Yang

Bipartite graphs are ubiquitous in many domains, e.g., e-commerce platforms, social networks, and academia, by modeling interactions between distinct entity sets. Within these graphs, the butterfly motif, a complete 2*2 biclique, represents…

Social and Information Networks · Computer Science 2025-01-14 Qiuyang Mang , Jingbang Chen , Hangrui Zhou , Yu Gao , Yingli Zhou , Qingyu Shi , Richard Peng , Yixiang Fang , Chenhao Ma

Bipartite graphs characterize relationships between two different sets of entities, like actor-movie, user-item, and author-paper. The butterfly, a 4-vertices 4-edges (2,2)-biclique, is the simplest cohesive motif in a bipartite graph and…

Data Structures and Algorithms · Computer Science 2026-04-21 Xinwei Cai , Xiangyu Ke , Kai Wang , Lu Chen , Tianming Zhang , Qing Liu , Yunjun Gao

In the realm of unsupervised learning, Bayesian nonparametric mixture models, exemplified by the Dirichlet Process Mixture Model (DPMM), provide a principled approach for adapting the complexity of the model to the data. Such models are…

Machine Learning · Computer Science 2022-04-20 Or Dinari , Raz Zamir , John W. Fisher , Oren Freifeld

Overparameterized neural networks generalize well but are expensive to train. Ideally, one would like to reduce their computational cost while retaining their generalization benefits. Sparse model training is a simple and promising approach…

Machine Learning · Computer Science 2022-05-12 Tri Dao , Beidi Chen , Kaizhao Liang , Jiaming Yang , Zhao Song , Atri Rudra , Christopher Ré

High Performance Computing (HPC) benefits from different improvements during last decades, specially in terms of hardware platforms to provide more processing power while maintaining the power consumption at a reasonable level. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-19 S. -Kazem Shekofteh , Christian Alles , Holger Fröning

We study the fundamental problem of butterfly (i.e. (2,2)-bicliques) counting in bipartite streaming graphs. Similar to triangles in unipartite graphs, enumerating butterflies is crucial in understanding the structure of bipartite graphs.…

Databases · Computer Science 2021-02-04 Aida Sheshbolouki , M. Tamer Özsu

When processing a batch of graphs in machine learning models such as Graph Neural Networks (GNN), it is common to combine several small graphs into one overall graph to accelerate processing and remove or reduce the overhead of padding.…

Machine Learning · Computer Science 2022-09-20 Mario Michael Krell , Manuel Lopez , Sreenidhi Anand , Hatem Helal , Andrew William Fitzgibbon

Butterflies, or 4-cycles in bipartite graphs, are crucial for identifying cohesive structures and dense subgraphs. While agent-based data mining is gaining prominence, its application to bipartite networks remains relatively unexplored. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-24 Prabhat Kumar Chand , Apurba Das , Anisur Rahaman Molla

We present a new parallel algorithm for probabilistic graphical model optimization. The algorithm relies on data-parallel primitives (DPPs), which provide portable performance over hardware architecture. We evaluate results on CPUs and GPUs…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-14 Brenton Lessley , Talita Perciano , Colleen Heinemann , David Camp , Hank Childs , E. Wes Bethel

Bipartite networks are of great importance in many real-world applications. In bipartite networks, butterfly (i.e., a complete 2 x 2 biclique) is the smallest non-trivial cohesive structure and plays a key role. In this paper, we study the…

Social and Information Networks · Computer Science 2019-06-28 Kai Wang , Xuemin Lin , Lu Qin , Wenjie Zhang , Ying Zhang

Discrete optimization is a central problem in artificial intelligence. The optimization of the aggregated cost of a network of cost functions arises in a variety of problems including (W)CSP, DCOP, as well as optimization in stochastic…

Artificial Intelligence · Computer Science 2018-01-12 Ferdinando Fioretto , Enrico Pontelli , William Yeoh , Rina Dechter

Breadth-First Search (BFS) is a building block used in a wide array of graph analytics and is used in various network analysis domains: social, road, transportation, communication, and much more. Over the last two decades, network sizes…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-26 Oded Green

This work introduces a novel approach to pruning deep learning models by using distilled data. Unlike conventional strategies which primarily focus on architectural or algorithmic optimization, our method reconsiders the role of data in…

Machine Learning · Computer Science 2023-08-10 Luke McDermott , Daniel Cummings

Diffusion models have achieved great success in synthesizing high-quality images. However, generating high-resolution images with diffusion models is still challenging due to the enormous computational costs, resulting in a prohibitive…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Muyang Li , Tianle Cai , Jiaxin Cao , Qinsheng Zhang , Han Cai , Junjie Bai , Yangqing Jia , Ming-Yu Liu , Kai Li , Song Han

In this paper we present a methodology for data accesses when solving batches of Tridiagonal and Pentadiagonal matrices that all share the same left-hand-side (LHS) matrix. The intended application is to the numerical solution of Partial…

Computational Physics · Physics 2021-07-13 Enda Carroll , Andrew Gloster , Miguel D. Bustamante , Lennon Ó' Náraigh
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