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As graphs continue to grow in size, we seek ways to effectively process such data at scale. The model of streaming graph processing, in which a compact summary is maintained as each edge insertion/deletion is observed, is an attractive one.…

Data Structures and Algorithms · Computer Science 2014-07-25 Rajesh Chitnis , Graham Cormode , MohammadTaghi Hajiaghayi , Morteza Monemizadeh

This paper argues that randomized linear sketching is a natural tool for on-the-fly compression of data matrices that arise from large-scale scientific simulations and data collection. The technical contribution consists in a new algorithm…

Numerical Analysis · Computer Science 2019-02-26 Joel A. Tropp , Alp Yurtsever , Madeleine Udell , Volkan Cevher

Motivated by the trend to outsource work to commercial cloud computing services, we consider a variation of the streaming paradigm where a streaming algorithm can be assisted by a powerful helper that can provide annotations to the data…

Data Structures and Algorithms · Computer Science 2015-03-14 Graham Cormode , Michael Mitzenmacher , Justin Thaler

In recent years, data streaming has gained prominence due to advances in technologies that enable many applications to generate continuous flows of data. This increases the need to develop algorithms that are able to efficiently process…

Data Structures and Algorithms · Computer Science 2015-03-20 Vaneet Aggarwal , Shankar Krishnan

We adapt a well known streaming algorithm for approximating item frequencies to the matrix sketching setting. The algorithm receives the rows of a large matrix $A \in \R^{n \times m}$ one after the other in a streaming fashion. It maintains…

Data Structures and Algorithms · Computer Science 2012-07-12 Edo Liberty

Graphs are ubiquitous and ever-present data structures that have a wide range of applications involving social networks, knowledge bases and biological interactions. The evolution of a graph in such scenarios can yield important insights…

Data Structures and Algorithms · Computer Science 2019-02-15 Lefteris Zervakis , Vinay Setty , Christos Tryfonopoulos , Katja Hose

In recent years studying the content of the World Wide Web became a very important yet rather difficult task. There is a need for a compression technique that would allow a web graph representation to be put into the memory while…

Data Structures and Algorithms · Computer Science 2013-05-02 Filip Proborszcz

We consider the problem of graph analytics on evolving graphs. In this scenario, a query typically needs to be applied to different snapshots of the graph over an extended time window. We propose CommonGraph, an approach for efficient…

Databases · Computer Science 2023-08-30 Mahbod Afarin , Chao Gao , Shafiur Rahman , Nael Abu-Ghazaleh , Rajiv Gupta

Low-rank approximation in data streams is a fundamental and significant task in computing science, machine learning and statistics. Multiple streaming algorithms have emerged over years and most of them are inspired by randomized…

Data Structures and Algorithms · Computer Science 2022-09-30 Cuiyu Liu , Chuanfu Xiao , Mingshuo Ding , Chao Yang

This study addresses the issue of balancing graph summarization and graph change detection. Graph summarization compresses large-scale graphs into a smaller scale. However, the question remains: To what extent should the original graph be…

Machine Learning · Statistics 2023-12-13 Shintaro Fukushima , Kenji Yamanishi

With the continuous growth of large Knowledge Graphs (KGs), extractive KG summarization becomes a trending task. Aiming at distilling a compact subgraph with condensed information, it facilitates various downstream KG-based tasks. In this…

Artificial Intelligence · Computer Science 2024-02-20 Xiaxia Wang , Gong Cheng

Graph representation learning plays an important role in many graph mining applications, but learning embeddings of large-scale graphs remains a problem. Recent works try to improve scalability via graph summarization -- i.e., they learn…

Machine Learning · Computer Science 2022-07-05 Houquan Zhou , Shenghua Liu , Danai Koutra , Huawei Shen , Xueqi Cheng

Many real-world datasets can be naturally represented as graphs, spanning a wide range of domains. However, the increasing complexity and size of graph datasets present significant challenges for analysis and computation. In response, graph…

Social and Information Networks · Computer Science 2024-07-02 Mohammad Hashemi , Shengbo Gong , Juntong Ni , Wenqi Fan , B. Aditya Prakash , Wei Jin

Finding patterns in large highly connected datasets is critical for value discovery in business development and scientific research. This work focuses on the problem of subgraph matching on streaming graphs, which provides utility in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-22 Bibek Bhattarai , Howie Huang

Several graph visualization tools exist. However, they are not able to handle large graphs, and/or they do not allow interaction. We are interested on large graphs, with hundreds of thousands of nodes. Such graphs bring two challenges: the…

Social and Information Networks · Computer Science 2015-06-15 Jose Rodrigues , Hanghang Tong , Agma Traina , Christos Faloutsos , Jure Leskovec

Graph processing has become an important part of various areas of computing, including machine learning, medical applications, social network analysis, computational sciences, and others. A growing amount of the associated graph processing…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-01 Maciej Besta , Marc Fischer , Vasiliki Kalavri , Michael Kapralov , Torsten Hoefler

We introduce Stream-K, a work-centric parallelization of matrix multiplication (GEMM) and related computations in dense linear algebra. Whereas contemporary decompositions are primarily tile-based, our method operates by partitioning an…

Data Structures and Algorithms · Computer Science 2023-01-11 Muhammad Osama , Duane Merrill , Cris Cecka , Michael Garland , John D. Owens

We present a matrix factorization algorithm that scales to input matrices that are large in both dimensions (i.e., that contains morethan 1TB of data). The algorithm streams the matrix columns while subsampling them, resulting in low…

Optimization and Control · Mathematics 2016-12-04 Arthur Mensch , Julien Mairal , Gaël Varoquaux , Bertrand Thirion

With the abundance of data and information in todays time, it is nearly impossible for man, or, even machine, to go through all of the data line by line. What one usually does is to try to skim through the lines and retain the absolutely…

Computation and Language · Computer Science 2024-02-09 Imaad Zaffar Khan , Amaan Aijaz Sheikh , Utkarsh Sinha

Graphs are found in a plethora of domains, including online social networks, the World Wide Web and the study of epidemics, to name a few. With the advent of greater volumes of information and the need for continuously updated results under…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-19 Miguel E. Coimbra , Sérgio Esteves , Alexandre P. Francisco , Luís Veiga