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Correlation clustering is a widely-used approach for clustering large data sets based only on pairwise similarity information. In recent years, there has been a steady stream of better and better classical algorithms for approximating this…

Data Structures and Algorithms · Computer Science 2025-04-08 Sepehr Assadi , Sanjeev Khanna , Aaron Putterman

Finding the dense regions of a graph and relations among them is a fundamental problem in network analysis. Core and truss decompositions reveal dense subgraphs with hierarchical relations. The incremental nature of algorithms for computing…

Social and Information Networks · Computer Science 2018-09-17 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar

This work presents a two-stage neural architecture for learning and refining structural correspondences between graphs. First, we use localized node embeddings computed by a graph neural network to obtain an initial ranking of soft…

Machine Learning · Computer Science 2020-01-28 Matthias Fey , Jan E. Lenssen , Christopher Morris , Jonathan Masci , Nils M. Kriege

Space-efficient streaming estimation of quantiles in massive datasets is a fundamental problem with numerous applications in data monitoring and analysis. While theoretical research led to optimal algorithms, such as the Greenwald-Khanna…

Data Structures and Algorithms · Computer Science 2025-09-12 Aleksander Łukasiewicz , Jakub Tětek , Pavel Veselý

Understanding the higher-order interactions within network data is a key objective of network science. Surveys of metadata triangles (or patterned 3-cycles in metadata-enriched graphs) are often of interest in this pursuit. In this work, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-27 Trevor Steil , Tahsin Reza , Keita Iwabuchi , Benjamin W. Priest , Geoffrey Sanders , Roger Pearce

High triangle density -- the graph property stating that a constant fraction of two-hop paths belong to a triangle -- is a common signature of social networks. This paper studies triangle-dense graphs from a structural perspective. We prove…

Data Structures and Algorithms · Computer Science 2014-02-10 Rishi Gupta , Tim Roughgarden , C. Seshadhri

Graph analysis performs many random reads and writes, thus, these workloads are typically performed in memory. Traditionally, analyzing large graphs requires a cluster of machines so the aggregate memory exceeds the graph size. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-27 Da Zheng , Disa Mhembere , Randal Burns , Joshua Vogelstein , Carey E. Priebe , Alexander S. Szalay

Semantic segmentation of point clouds is an essential task for understanding the environment in autonomous driving and robotics. Recent range-based works achieve real-time efficiency, while point- and voxel-based methods produce better…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Daniel Fusaro , Simone Mosco , Emanuele Menegatti , Alberto Pretto

Modern graph neural networks (GNNs) use a message passing scheme and have achieved great success in many fields. However, this recursive design inherently leads to excessive computation and memory requirements, making it not applicable to…

Machine Learning · Computer Science 2022-02-08 Meng Liu , Shuiwang Ji

This paper focuses on two fundamental tasks of graph analysis: community detection and node representation learning, which capture the global and local structures of graphs, respectively. In the current literature, these two tasks are…

Social and Information Networks · Computer Science 2019-09-18 Fan-Yun Sun , Meng Qu , Jordan Hoffmann , Chin-Wei Huang , Jian Tang

Sketch semantic segmentation is a well-explored and pivotal problem in computer vision involving the assignment of pre-defined part labels to individual strokes. This paper presents ContextSeg - a simple yet highly effective approach to…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Jiawei Wang , Changjian Li

We propose a heuristic method that generates a graph for order/degree problem. Target graphs of our heuristics have large order (> 4000) and diameter 3. We describe the ob- servation of smaller graphs and basic structure of our heuristics.…

Data Structures and Algorithms · Computer Science 2016-10-10 Teruaki Kitasuka , Masahiro Iida

Triangle counting is a key algorithm for large graph analysis. The Graphulo library provides a framework for implementing graph algorithms on the Apache Accumulo distributed database. In this work we adapt two algorithms for counting…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-09 Dylan Hutchison

We consider a random sparse graph with bounded average degree, in which a subset of vertices has higher connectivity than the background. In particular, the average degree inside this subset of vertices is larger than outside (but still…

Machine Learning · Statistics 2015-09-02 Andrea Montanari

Representation learning for graphs enables the application of standard machine learning algorithms and data analysis tools to graph data. Replacing discrete unordered objects such as graph nodes by real-valued vectors is at the heart of…

Machine Learning · Computer Science 2021-02-10 Konstantin Kutzkov

We present HyperLogLogLog, a practical compression of the HyperLogLog sketch that compresses the sketch from $O(m\log\log n)$ bits down to $m \log_2\log_2\log_2 m + O(m+\log\log n)$ bits for estimating the number of distinct elements~$n$…

Data Structures and Algorithms · Computer Science 2022-05-24 Matti Karppa , Rasmus Pagh

We introduce a random hypergraph model for core-periphery structure. By leveraging our model's sufficient statistics, we develop a novel statistical inference algorithm that is able to scale to large hypergraphs with runtime that is…

Social and Information Networks · Computer Science 2022-06-03 Marios Papachristou , Jon Kleinberg

Modern graph embedding procedures can efficiently process graphs with millions of nodes. In this paper, we propose GEMSEC -- a graph embedding algorithm which learns a clustering of the nodes simultaneously with computing their embedding.…

Social and Information Networks · Computer Science 2019-07-26 Benedek Rozemberczki , Ryan Davies , Rik Sarkar , Charles Sutton

The locality of a graph problem is the smallest distance $T$ such that each node can choose its own part of the solution based on its radius-$T$ neighborhood. In many settings, a graph problem can be solved efficiently with a distributed or…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-14 Yi-Jun Chang , Jan Studený , Jukka Suomela

We present a new technique to efficiently sample and communicate a large number of elements from a distributed sampling space. When used in the context of a recent LOCAL algorithm for $(\operatorname{degree}+1)$-list-coloring (D1LC), this…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-31 Magnús M. Halldórsson , Alexandre Nolin , Tigran Tonoyan
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