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The number of triangles is a computationally expensive graph statistic which is frequently used in complex network analysis (e.g., transitivity ratio), in various random graph models (e.g., exponential random graph model) and in important…

Data Structures and Algorithms · Computer Science 2015-05-20 Mihail N. Kolountzakis , Gary L. Miller , Richard Peng , Charalampos E. Tsourakakis

Finding the number of triangles in a network is an important problem in the analysis of complex networks. The number of triangles also has important applications in data mining. Existing distributed memory parallel algorithms for counting…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-24 Shaikh Arifuzzaman , Maleq Khan , Madhav Marathe

Computing on encrypted data is a promising approach to reduce data security and privacy risks, with homomorphic encryption serving as a facilitator in achieving this goal. In this work, we accelerate homomorphic operations using the…

Cryptography and Security · Computer Science 2023-10-04 Harshita Gupta , Mayank Kabra , Juan Gómez-Luna , Konstantinos Kanellopoulos , Onur Mutlu

Training machine learning (ML) algorithms is a computationally intensive process, which is frequently memory-bound due to repeatedly accessing large training datasets. As a result, processor-centric systems (e.g., CPU, GPU) suffer from…

Hardware Architecture · Computer Science 2023-09-07 Juan Gómez-Luna , Yuxin Guo , Sylvan Brocard , Julien Legriel , Remy Cimadomo , Geraldo F. Oliveira , Gagandeep Singh , Onur Mutlu

Counting and finding triangles in graphs is often used in real-world analytics to characterize cohesiveness and identify communities in graphs. In this paper, we propose the novel concept of a cover-edge set that can be used to find…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-19 David A. Bader , Fuhuan Li , Anya Ganeshan , Ahmet Gundogdu , Jason Lew , Oliver Alvarado Rodriguez , Zhihui Du

Many modern workloads, such as neural networks, databases, and graph processing, are fundamentally memory-bound. For such workloads, the data movement between main memory and CPU cores imposes a significant overhead in terms of both latency…

Hardware Architecture · Computer Science 2022-05-06 Juan Gómez-Luna , Izzat El Hajj , Ivan Fernandez , Christina Giannoula , Geraldo F. Oliveira , Onur Mutlu

Graph processing requires irregular, fine-grained random access patterns incompatible with contemporary off-chip memory architecture, leading to inefficient data access. This inefficiency makes graph processing an extremely memory-bound…

Hardware Architecture · Computer Science 2025-03-11 Changmin Shin , Jaeyong Song , Hongsun Jang , Dogeun Kim , Jun Sung , Taehee Kwon , Jae Hyung Ju , Frank Liu , Yeonkyu Choi , Jinho Lee

The massive amounts of data generated by camera sensors motivate data processing inside pixel arrays, i.e., at the extreme-edge. Several critical developments have fueled recent interest in the processing-in-pixel-in-memory paradigm for a…

Image and Video Processing · Electrical Eng. & Systems 2024-02-26 Md Abdullah-Al Kaiser , Gourav Datta , Sreetama Sarkar , Souvik Kundu , Zihan Yin , Manas Garg , Ajey P. Jacob , Peter A. Beerel , Akhilesh R. Jaiswal

We implement exact triangle counting in graphs on the GPU using three different methodologies: subgraph matching to a triangle pattern; programmable graph analytics, with a set-intersection approach; and a matrix formulation based on sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-20 Leyuan Wang , Yangzihao Wang , Carl Yang , John D. Owens

The rise of graph analytic systems has created a need for new ways to measure and compare the capabilities of graph processing systems. The MIT/Amazon/IEEE Graph Challenge has been developed to provide a well-defined community venue for…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-24 Siddharth Samsi , Jeremy Kepner , Vijay Gadepally , Michael Hurley , Michael Jones , Edward Kao , Sanjeev Mohindra , Albert Reuther , Steven Smith , William Song , Diane Staheli , Paul Monticciolo

Training machine learning algorithms is a computationally intensive process, which is frequently memory-bound due to repeatedly accessing large training datasets. As a result, processor-centric systems (e.g., CPU, GPU) suffer from costly…

Hardware Architecture · Computer Science 2022-08-04 Juan Gómez-Luna , Yuxin Guo , Sylvan Brocard , Julien Legriel , Remy Cimadomo , Geraldo F. Oliveira , Gagandeep Singh , Onur Mutlu

Digital processing-in-memory (PIM) architectures are rapidly emerging to overcome the memory-wall bottleneck by integrating logic within memory elements. Such architectures provide vast computational power within the memory itself in the…

Hardware Architecture · Computer Science 2023-04-18 Orian Leitersdorf , Dean Leitersdorf , Jonathan Gal , Mor Dahan , Ronny Ronen , Shahar Kvatinsky

Database Management Systems (DBMSs) are crucial for efficient data management and analytics, and are used in several different application domains. Due to the increasing volume of data a DBMS deals with, current processor-centric…

Hardware Architecture · Computer Science 2025-04-03 Manos Frouzakis , Juan Gómez-Luna , Geraldo F. Oliveira , Mohammad Sadrosadati , Onur Mutlu

The problem of (approximately) counting the number of triangles in a graph is one of the basic problems in graph theory. In this paper we study the problem in the streaming model. We study the amount of memory required by a randomized…

Data Structures and Algorithms · Computer Science 2013-04-05 Vladimir Braverman , Rafail Ostrovsky , Dan Vilenchik

In-memory database query processing frequently involves substantial data transfers between the CPU and memory, leading to inefficiencies due to Von Neumann bottleneck. Processing-in-Memory (PIM) architectures offer a viable solution to…

Triangle counting is a fundamental problem in the analysis of large graphs. There is a rich body of work on this problem, in varying streaming and distributed models, yet all these algorithms require reading the whole input graph. In many…

Data Structures and Algorithms · Computer Science 2020-06-23 Suman K. Bera , C. Seshadhri

The generalized method to have a parallel solution to a computational problem, is to find a way to use Divide & Conquer paradigm in order to have processors acting on its own data and therefore all can be scheduled in parallel. MapReduce is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-13 Julián Aráoz , Cristina Zoltan

The clustering coefficient and the transitivity ratio are concepts often used in network analysis, which creates a need for fast practical algorithms for counting triangles in large graphs. Previous research in this area focused on…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-09 Adam Polak

Compute in-memory (CIM) is a promising technique that minimizes data transport, the primary performance bottleneck and energy cost of most data intensive applications. This has found wide-spread adoption in accelerating neural networks for…

Hardware Architecture · Computer Science 2020-08-18 Brian Crafton , Samuel Spetalnick , Gauthaman Murali , Tushar Krishna , Sung-Kyu Lim , Arijit Raychowdhury

Triangle count and local clustering coefficient are two core metrics for graph analysis. They find broad application in analyses such as community detection and link recommendation. Current state-of-the-art solutions suffer from…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-02 András Strausz , Flavio Vella , Salvatore Di Girolamo , Maciej Besta , Torsten Hoefler