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Triangle counting is an important problem in graph mining. Clustering coefficients of vertices and the transitivity ratio of the graph are two metrics often used in complex network analysis. Furthermore, triangles have been used…

数据结构与算法 · 计算机科学 2009-06-30 Charalampos E. Tsourakakis , Mihail N. Kolountzakis , Gary L. Miller

We propose a new hierarchy of semidefinite programming relaxations for inference problems. As test cases, we consider the problem of community detection in block models. The vertices are partitioned into $k$ communities, and a graph is…

数据结构与算法 · 计算机科学 2020-09-22 Jess Banks , Sidhanth Mohanty , Prasad Raghavendra

We propose a novel perspective on varied-density clustering for high-dimensional data by framing it as a label propagation process in neighborhood graphs that adapt to local density variations. Our method formally connects density-based…

机器学习 · 计算机科学 2025-08-06 Ninh Pham , Yingtao Zheng , Hugo Phibbs

With the growing adoption of graph neural networks (GNNs), explaining their predictions has become increasingly important. However, attributing predictions to specific edges or features remains computationally expensive. For example,…

机器学习 · 计算机科学 2025-07-01 Selahattin Akkas , Aditya Devarakonda , Ariful Azad

Component-centric distributed graph processing platforms that use a bulk synchronous parallel (BSP) programming model have gained traction. These address the short-comings of Big Data abstractions/platforms like MapReduce/Hadoop for…

分布式、并行与集群计算 · 计算机科学 2019-05-13 Ravikant Dindokar , Neel Choudhury , Yogesh Simmhan

Triangle counting and sampling are two fundamental problems for streaming algorithms. Arguably, designing sampling algorithms is more challenging than their counting variants. It may be noted that triangle counting has received far greater…

数据结构与算法 · 计算机科学 2024-05-17 Arijit Bishnu , Arijit Ghosh , Gopinath Mishra , Sayantan Sen

In this paper, we consider the problems from the area of sublinear-time algorithms of edge sampling, edge counting, and triangle counting. Part of our contribution is that we consider three different settings, differing in the way in which…

数据结构与算法 · 计算机科学 2022-04-13 Jakub Tětek , Mikkel Thorup

Graph processing at scale presents many challenges, including the irregular structure of graphs, the latency-bound nature of graph algorithms, and the overhead associated with distributed execution. While existing frameworks such as Spark…

分布式、并行与集群计算 · 计算机科学 2026-03-06 Karame Mohammadiporshokooh , Panagiotis Syskakis , Andrew Lumsdaine , Hartmut Kaiser

In recent years, many large directed networks such as online social networks are collected with the help of powerful data engineering and data storage techniques. Analyses of such networks attract significant attention from both the…

社会与信息网络 · 计算机科学 2025-08-01 Yunxiang Yan , Meng Jiang

Counting the frequency of small subgraphs is a fundamental technique in network analysis across various domains, most notably in bioinformatics and social networks. The special case of triangle counting has received much attention. Getting…

数据结构与算法 · 计算机科学 2014-11-19 Madhav Jha , C. Seshadhri , Ali Pinar

We present a novel distributed algorithm for counting all four-node induced subgraphs in a big graph. These counts, called the $4$-profile, describe a graph's connectivity properties and have found several uses ranging from bioinformatics…

社会与信息网络 · 计算机科学 2016-04-05 Ethan R. Elenberg , Karthikeyan Shanmugam , Michael Borokhovich , Alexandros G. Dimakis

Complex networks are relational data sets commonly represented as graphs. The analysis of their intricate structure is relevant to many areas of science and commerce, and data sets may reach sizes that require distributed storage and…

分布式、并行与集群计算 · 计算机科学 2016-01-05 Jannis Koch , Christian L. Staudt , Maximilian Vogel , Henning Meyerhenke

The scarcity of free-hand sketch presents a challenging problem. Despite the emergence of some large-scale sketch datasets, these datasets primarily consist of sketches at the single-object level. There continues to be a lack of large-scale…

计算机视觉与模式识别 · 计算机科学 2024-05-30 Zhenbei Wu , Qiang Wang , Jie Yang

Graph-based Semi-supervised learning (SSL) algorithms have been successfully used in a large number of applications. These methods classify initially unlabeled nodes by propagating label information over the structure of graph starting from…

机器学习 · 计算机科学 2014-03-03 Partha Pratim Talukdar , William Cohen

Graph embedding is a popular algorithmic approach for creating vector representations for individual vertices in networks. Training these algorithms at scale is important for creating embeddings that can be used for classification, ranking,…

机器学习 · 计算机科学 2019-07-04 C. Bayan Bruss , Anish Khazane , Jonathan Rider , Richard Serpe , Saurabh Nagrecha , Keegan E. Hines

Super point is a kind of special host in the network which contacts with huge of other hosts. Estimating its cardinality, the number of other hosts contacting with it, plays important roles in network management. But all of existing works…

网络与互联网体系结构 · 计算机科学 2018-05-24 Jie Xu

Subgraph counting aims to count occurrences of a template T in a given network G(V, E). It is a powerful graph analysis tool and has found real-world applications in diverse domains. Scaling subgraph counting problems is known to be memory…

分布式、并行与集群计算 · 计算机科学 2020-10-06 Langshi Chen , Jiayu Li , Ariful Azad , Cenk Sahinalp , Madhav Marathe , Anil Vullikanti , Andrey Nikolaev , Egor Smirnov , Ruslan Israfilov , Judy Qiu

Categorical attributes are those that can take a discrete set of values, e.g., colours. This work is about compressing vectors over categorical attributes to low-dimension discrete vectors. The current hash-based methods compressing vectors…

机器学习 · 计算机科学 2021-12-08 Debajyoti Bera , Rameshwar Pratap , Bhisham Dev Verma

In a graph, a community may be loosely defined as a group of nodes that are more closely connected to one another than to the rest of the graph. While there are a variety of metrics that can be used to specify the quality of a given…

社会与信息网络 · 计算机科学 2014-04-24 Christine Klymko , David Gleich , Tamara G. Kolda

Graph clustering has many important applications in computing, but due to the increasing sizes of graphs, even traditionally fast clustering methods can be computationally expensive for real-world graphs of interest. Scalability problems…

社会与信息网络 · 计算机科学 2018-10-18 Kimon Fountoulakis , David F. Gleich , Michael W. Mahoney