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We introduce TeraHAC, a $(1+\epsilon)$-approximate hierarchical agglomerative clustering (HAC) algorithm which scales to trillion-edge graphs. Our algorithm is based on a new approach to computing $(1+\epsilon)$-approximate HAC, which is a…

Data Structures and Algorithms · Computer Science 2024-06-12 Laxman Dhulipala , Jason Lee , Jakub Łącki , Vahab Mirrokni

Graph clustering (or community detection) has long drawn enormous attention from the research on web mining and information networks. Recent literature on this topic has reached a consensus that node contents and link structures should be…

Social and Information Networks · Computer Science 2017-12-25 Carl Yang , Mengxiong Liu , Zongyi Wang , Liyuan Liu , Jiawei Han

Graph neural networks (GNNs) are powerful tools for learning from graph data and are widely used in various applications such as social network recommendation, fraud detection, and graph search. The graphs in these applications are…

Machine Learning · Computer Science 2021-06-14 Jialin Dong , Da Zheng , Lin F. Yang , Geroge Karypis

How can we find meaningful clusters in a graph robustly against noise edges? Graph clustering (i.e., dividing nodes into groups of similar ones) is a fundamental problem in graph analysis with applications in various fields. Recent studies…

Machine Learning · Computer Science 2023-11-09 Hyeonsoo Jo , Fanchen Bu , Kijung Shin

Graph Neural Networks (GNNs) have achieved state-of-the-art results on many graph analysis tasks such as node classification and link prediction. However, important unsupervised problems on graphs, such as graph clustering, have proved more…

Machine Learning · Computer Science 2023-06-02 Anton Tsitsulin , John Palowitch , Bryan Perozzi , Emmanuel Müller

We study the complexity of finding an optimal hierarchical clustering of an unweighted similarity graph under the recently introduced Dasgupta objective function. We introduce a proof technique, called the normalization procedure, that…

Computational Complexity · Computer Science 2020-08-10 Svein Høgemo , Christophe Paul , Jan Arne Telle

Approximate Nearest Neighbor Search (ANNS) is the task of finding the database vector that is closest to a given query vector. Graph-based ANNS is the family of methods with the best balance of accuracy and speed for million-scale datasets.…

Information Retrieval · Computer Science 2023-11-01 Naoki Ono , Yusuke Matsui

This paper studies the hierarchical clustering problem, where the goal is to produce a dendrogram that represents clusters at varying scales of a data set. We propose the ParChain framework for designing parallel hierarchical agglomerative…

Data Structures and Algorithms · Computer Science 2022-02-15 Shangdi Yu , Yiqiu Wang , Yan Gu , Laxman Dhulipala , Julian Shun

While successful in many fields, deep neural networks (DNNs) still suffer from some open problems such as bad local minima and unsatisfactory generalization performance. In this work, we propose a novel architecture called…

Machine Learning · Computer Science 2020-07-10 Xingyu Xie , Hao Kong , Jianlong Wu , Wayne Zhang , Guangcan Liu , Zhouchen Lin

Social networks crawling is in the focus of active research the last years. One of the challenging task is to collect target nodes in an initially unknown graph given a budget of crawling steps. Predicting a node property based on its…

Social and Information Networks · Computer Science 2024-03-22 Kirill Lukyanov , Mikhail Drobyshevskiy , Danil Shaikhelislamov , Denis Turdakov

We introduce FastGraph, a novel GPU-optimized k-nearest neighbor algorithm specifically designed to accelerate graph construction in low-dimensional spaces (2-10 dimensions), critical for high-performance graph neural networks. Our method…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-14 Aarush Agarwal , Raymond He , Jan Kieseler , Matteo Cremonesi , Shah Rukh Qasim

Graph clustering or community detection constitutes an important task for investigating the internal structure of graphs, with a plethora of applications in several domains. Traditional techniques for graph clustering, such as spectral…

Graph search is one of the most successful algorithmic trends in near neighbor search. Several of the most popular and empirically successful algorithms are, at their core, a simple walk along a pruned near neighbor graph. Such algorithms…

Data Structures and Algorithms · Computer Science 2021-04-08 Benjamin Coleman , Santiago Segarra , Anshumali Shrivastava , Alex Smola

Heterogeneous graph neural networks (HGNNs) have powerful capability to embed rich structural and semantic information of a heterogeneous graph into node representations. Existing HGNNs inherit many mechanisms from graph neural networks…

Machine Learning · Computer Science 2023-09-04 Xiaocheng Yang , Mingyu Yan , Shirui Pan , Xiaochun Ye , Dongrui Fan

Graph clustering discovers groups or communities within networks. Deep learning methods such as autoencoders (AE) extract effective clustering and downstream representations but cannot incorporate rich structural information. While Graph…

Machine Learning · Computer Science 2022-04-28 Gayan K. Kulatilleke , Marius Portmann , Shekhar S. Chandra

Large-scale visual localization systems continue to rely on 3D point clouds built from image collections using structure-from-motion. While the 3D points in these models are represented using local image features, directly matching a query…

Computer Vision and Pattern Recognition · Computer Science 2024-01-01 Dror Aiger , André Araujo , Simon Lynen

Nearest neighbor is a popular class of classification methods with many desirable properties. For a large data set which cannot be loaded into the memory of a single machine due to computation, communication, privacy, or ownership…

Machine Learning · Statistics 2019-11-01 Xingye Qiao , Jiexin Duan , Guang Cheng

Near repeat (NR) is a well known phenomenon in crime analysis assuming that crime events exhibit correlations within a given time and space frame. Traditional NR calculation generates 2 event pairs if 2 events happened within a given space…

Data Structures and Algorithms · Computer Science 2020-03-27 Zhaoming Yin , Xuan Shi

Constructing a similarity graph from a set $X$ of data points in $\mathbb{R}^d$ is the first step of many modern clustering algorithms. However, typical constructions of a similarity graph have high time complexity, and a quadratic space…

Data Structures and Algorithms · Computer Science 2023-10-24 Peter Macgregor , He Sun

The widespread enthusiasm for deep learning has recently expanded into the domain of tabular data. Recognizing that the advancement in deep tabular methods is often inspired by classical methods, e.g., integration of nearest neighbors into…

Machine Learning · Computer Science 2025-03-04 Han-Jia Ye , Huai-Hong Yin , De-Chuan Zhan , Wei-Lun Chao