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Relative Nearest Neighbor Descent (RNN-Descent) is a state-of-the-art algorithm for constructing sparse approximate nearest neighbor (ANN) graphs by combining the iterative refinement of NN-Descent with the edge-pruning rules of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-06 Xiang Li , Qiong Chang , Yun Li , Jun Miyazaki

k-nearest neighbor graph is a fundamental data structure in many disciplines such as information retrieval, data-mining, pattern recognition, and machine learning, etc. In the literature, considerable research has been focusing on how to…

Information Retrieval · Computer Science 2021-07-30 Wan-Lei Zhao , Hui Wang , Peng-Cheng Lin , Chong-Wah Ngo

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

Approximate nearest neighbor (ANN) search in high dimensions is an integral part of several computer vision systems and gains importance in deep learning with explicit memory representations. Since PQT, FAISS, and SONG started to leverage…

Computer Vision and Pattern Recognition · Computer Science 2022-04-08 Fabian Groh , Lukas Ruppert , Patrick Wieschollek , Hendrik P. A. Lensch

Fast and reliable K-Nearest Neighbor Graph algorithms are more important than ever due to their widespread use in many data processing techniques. This paper presents a runtime optimized C implementation of the heuristic "NN-Descent"…

Machine Learning · Computer Science 2021-12-14 Dan Kluser , Jonas Bokstaller , Samuel Rutz , Tobias Buner

Nearest neighbor search and k-nearest neighbor graph construction are two fundamental issues arise from many disciplines such as multimedia information retrieval, data-mining and machine learning. They become more and more imminent given…

Information Retrieval · Computer Science 2020-09-18 Wan-Lei Zhao , Hui Wang , Chong-Wah Ngo

The recent improvements of graphics processing units (GPU) offer to the computer vision community a powerful processing platform. Indeed, a lot of highly-parallelizable computer vision problems can be significantly accelerated using GPU…

Computer Vision and Pattern Recognition · Computer Science 2008-04-10 Vincent Garcia , Eric Debreuve , Michel Barlaud

K Nearest Neighbor (KNN) joins are used in scientific domains for data analysis, and are building blocks of several well-known algorithms. KNN-joins find the KNN of all points in a dataset. This paper focuses on a hybrid CPU/GPU approach…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-19 Michael Gowanlock

Approximate nearest neighbor search (ANNS) in high-dimensional vector spaces has a wide range of real-world applications. Numerous methods have been proposed to handle ANNS efficiently, while graph-based indexes have gained prominence due…

Databases · Computer Science 2025-08-14 Zhonggen Li , Xiangyu Ke , Yifan Zhu , Bocheng Yu , Baihua Zheng , Yunjun Gao

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

The $k$-NN graph has played a central role in increasingly popular data-driven techniques for various learning and vision tasks; yet, finding an efficient and effective way to construct $k$-NN graphs remains a challenge, especially for…

Computer Vision and Pattern Recognition · Computer Science 2013-07-31 Jingdong Wang , Jing Wang , Gang Zeng , Zhuowen Tu , Rui Gan , Shipeng Li

The k-nearest neighbors (kNN) algorithm is a cornerstone of non-parametric classification in artificial intelligence, yet its deployment in large-scale applications is persistently constrained by the computational trade-off between…

Machine Learning · Computer Science 2026-01-26 Jiaye Li , Gang Chen , Hang Xu , Shichao Zhang

In order to support the real-time interaction with LLMs and the instant search or the instant recommendation on social media, it becomes an imminent problem to build a k-NN graph or an indexing graph for the massive number of vectorized…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Cheng Zhang , Wan-Lei Zhao , Shihai Xiao , Jiajie Yao , Xuecang Zhang

In this paper we describe a new brute force algorithm for building the $k$-Nearest Neighbor Graph ($k$-NNG). The $k$-NNG algorithm has many applications in areas such as machine learning, bio-informatics, and clustering analysis. While…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-17 Ivan Komarov , Ali Dashti , Roshan D'Souza

In this paper, we propose a method, based on graph signal processing, to optimize the choice of $k$ in $k$-nearest neighbor graphs ($k$NNGs). $k$NN is one of the most popular approaches and is widely used in machine learning and signal…

Machine Learning · Computer Science 2024-01-17 Asuka Tamaru , Junya Hara , Hiroshi Higashi , Yuichi Tanaka , Antonio Ortega

Hypergraph partitioning is a recurring NP-hard problem in engineering; its efficient solution at scale hinges on parallelism. This work proposes a GPU-centric algorithm for multi-level hypergraph partitioning aimed at a specific set of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-21 Marco Ronzani , Cristina Silvano

Suppose $V$ is an $n$-element set where for each $x \in V$, the elements of $V \setminus \{x\}$ are ranked by their similarity to $x$. The $K$-nearest neighbor graph is a directed graph including an arc from each $x$ to the $K$ points of $V…

Combinatorics · Mathematics 2020-12-29 Jacob D. Baron , R. W. R. Darling

Nearest neighbor search plays a fundamental role in many disciplines such as multimedia information retrieval, data-mining, and machine learning. The graph-based search approaches show superior performance over other types of approaches in…

Information Retrieval · Computer Science 2022-04-05 Hui Wang , Yong Wang , Wan-Lei Zhao

k-nearest neighbor (k-NN) search is a fundamental primitive in geometry processing and computer graphics. While spatial partitioning structures such as kd-trees are standard, they are often manifold-blind, failing to exploit the intrinsic…

Computational Geometry · Computer Science 2026-05-05 Pengfei Wang , Qinghao Guo , Haisen Zhao , Shiqing Xin , Shuangmin Chen , Changhe Tu , Wenping Wang

We propose an adaptive graph coarsening method to jointly learn graph neural network (GNN) parameters and merge nodes via K-means clustering during training. As real-world graphs grow larger, processing them directly becomes increasingly…

Machine Learning · Computer Science 2025-10-01 Rostyslav Olshevskyi , Madeline Navarro , Santiago Segarra
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