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For approximate nearest neighbor search, graph-based algorithms have shown to offer the best trade-off between accuracy and search time. We propose the Dynamic Exploration Graph (DEG) which significantly outperforms existing algorithms in…

Information Retrieval · Computer Science 2023-07-25 Nico Hezel , Kai Uwe Barthel , Konstantin Schall , Klaus Jung

Approximate $k$-nearest neighbor search (A$k$-NNS) is a core operation in vector databases, underpinning applications such as retrieval-augmented generation (RAG) and image retrieval. In these scenarios, users often prefer diverse result…

Databases · Computer Science 2025-11-03 Jiachen Zhao , Xiao Yan , Eric Lo

Neighborhood graphs are gaining popularity as a concise data representation in machine learning. However, naive graph construction by pairwise distance calculation takes $O(n^2)$ runtime for $n$ data points and this is prohibitively slow…

Data Structures and Algorithms · Computer Science 2009-04-22 Takeaki Uno , Masashi Sugiyama , Koji Tsuda

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

As the state-of-the-art methods for high-dimensional data retrieval, Approximate Nearest Neighbor Search (ANNS) approaches with graph-based indexes have attracted increasing attention and play a crucial role in many real-world applications,…

This study proposes an efficient exact k-flexible aggregate nearest neighbor (k-FANN) search algorithm in road networks using the M-tree. The state-of-the-art IER-kNN algorithm used the R-tree and pruned off unnecessary nodes based on the…

Databases · Computer Science 2021-09-14 Moonyoung Chung , Soon J. Hyun , Woong-Kee Loh

We present a new approach for efficient approximate nearest neighbor (ANN) search in high dimensional spaces, extending the idea of Product Quantization. We propose a two-level product and vector quantization tree that reduces the number of…

Computer Vision and Pattern Recognition · Computer Science 2017-02-21 Patrick Wieschollek , Oliver Wang , Alexander Sorkine-Hornung , Hendrik P. A. Lensch

K-nearest neighbor search is one of the fundamental tasks in various applications and the hierarchical navigable small world (HNSW) has recently drawn attention in large-scale cloud services, as it easily scales up the database while…

Hardware Architecture · Computer Science 2022-07-13 Ji-Hoon Kim , Yeo-Reum Park , Jaeyoung Do , Soo-Young Ji , Joo-Young Kim

Range-filtered approximate nearest neighbor (RFANN) search is a fundamental operation in modern data systems. Given a set of objects, each with a vector and a numerical attribute, an RFANN query retrieves the nearest neighbors to a query…

Databases · Computer Science 2026-05-05 Zhiqiu Zou , Ziqi Yin , Rong-Hua Li , Hongchao Qin , Qiangqiang Dai , Guoren Wang

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

Graph Neural Networks (GNNs) are a powerful representational tool for solving problems on graph-structured inputs. In almost all cases so far, however, they have been applied to directly recovering a final solution from raw inputs, without…

Machine Learning · Statistics 2020-01-16 Petar Veličković , Rex Ying , Matilde Padovano , Raia Hadsell , Charles Blundell

Existing methods for retrieving k-nearest neighbours suffer from the curse of dimensionality. We argue this is caused in part by inherent deficiencies of space partitioning, which is the underlying strategy used by most existing methods. We…

Data Structures and Algorithms · Computer Science 2017-04-07 Ke Li , Jitendra Malik

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

Motivated by applications in computer vision and databases, we introduce and study the Simultaneous Nearest Neighbor Search (SNN) problem. Given a set of data points, the goal of SNN is to design a data structure that, given a collection of…

Data Structures and Algorithms · Computer Science 2016-04-11 Piotr Indyk , Robert Kleinberg , Sepideh Mahabadi , Yang Yuan

We present the first systematic investigation of graph reordering effects for graph-based Approximate Nearest Neighbor Search (ANNS) on a GPU. While graph-based ANNS has become the dominant paradigm for modern AI applications, recent…

Information Retrieval · Computer Science 2025-08-22 Yutaro Oguri , Mai Nishimura , Yusuke Matsui

Recently, graph based nearest neighbor search gets more and more popular on large-scale retrieval tasks. The attractiveness of this type of approaches lies in its superior performance over most of the known nearest neighbor search…

Information Retrieval · Computer Science 2019-06-19 Peng-Cheng Lin , Wan-Lei Zhao

Graph neural networks (GNNs) have extended the success of deep neural networks (DNNs) to non-Euclidean graph data, achieving ground-breaking performance on various tasks such as node classification and graph property prediction.…

Machine Learning · Computer Science 2021-12-17 Tianfeng Liu , Yangrui Chen , Dan Li , Chuan Wu , Yibo Zhu , Jun He , Yanghua Peng , Hongzheng Chen , Hongzhi Chen , Chuanxiong Guo

Approximate nearest neighbor algorithms are used to speed up nearest neighbor search in a wide array of applications. However, current indexing methods feature several hyperparameters that need to be tuned to reach an acceptable…

Data Structures and Algorithms · Computer Science 2019-04-25 Elias Jääsaari , Ville Hyvönen , Teemu Roos

Process mapping asks to assign vertices of a task graph to processing elements of a supercomputer such that the computational workload is balanced while the communication cost is minimized. Motivated by the recent success of GPU-based graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-16 Petr Samoldekin , Christian Schulz , Henning Woydt

We present a new approach for the approximate K-nearest neighbor search based on navigable small world graphs with controllable hierarchy (Hierarchical NSW, HNSW). The proposed solution is fully graph-based, without any need for additional…

Data Structures and Algorithms · Computer Science 2018-08-16 Yu. A. Malkov , D. A. Yashunin
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