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Fixed-radius near neighbor search is a fundamental data operation that retrieves all data points within a user-specified distance to a query point. There are efficient algorithms that can provide fast approximate query responses, but they…

信息检索 · 计算机科学 2024-01-30 Xinye Chen , Stefan Güttel

Similarity search is a fundamental algorithmic primitive, widely used in many computer science disciplines. Given a set of points $S$ and a radius parameter $r>0$, the $r$-near neighbor ($r$-NN) problem asks for a data structure that, given…

数据结构与算法 · 计算机科学 2021-01-27 Martin Aumüller , Sariel Har-Peled , Sepideh Mahabadi , Rasmus Pagh , Francesco Silvestri

Subgraph queries also known as subgraph isomorphism search is a fundamental problem in querying graph-like structured data. It consists to enumerate the subgraphs of a data graph that match a query graph. This problem arises in many…

数据库 · 计算机科学 2018-07-11 C. Nabti , T. Mecharnia , S. E. Boukhetta , H. Seba , K. Amrouche

Approximate Nearest Neighbor Search (ANNS) in high dimensional space is essential in database and information retrieval. Recently, there has been a surge of interest in exploring efficient graph-based indices for the ANNS problem. Among…

信息检索 · 计算机科学 2021-03-19 Cong Fu , Changxu Wang , Deng Cai

Approximate Nearest Neighbor Search (ANNS) is a fundamental operation in vector databases, enabling efficient similarity search in high-dimensional spaces. While dense ANNS has been optimized using specialized hardware accelerators, sparse…

数据库 · 计算机科学 2026-01-07 Tianqi Zhang , Flavio Ponzina , Tajana Rosing

In this paper, we present an experimental comparison of various graph-based approximate nearest neighbor (ANN) search algorithms deployed on edge devices for real-time nearest neighbor search applications, such as smart city infrastructure…

数据结构与算法 · 计算机科学 2024-11-22 Ali Ganbarov , Jicheng Yuan , Anh Le-Tuan , Manfred Hauswirth , Danh Le-Phuoc

We study the Approximate Nearest Neighbor (ANN) problem under a powerful adaptive adversary that controls both the dataset and a sequence of $Q$ queries. Primarily, for the high-dimensional regime of $d = \omega(\sqrt{Q})$, we introduce a…

数据结构与算法 · 计算机科学 2026-01-05 Alexandr Andoni , Themistoklis Haris , Esty Kelman , Krzysztof Onak

Approximate Nearest Neighbor Search (ANNS), as the core of vector databases (VectorDBs), has become widely used in modern AI and ML systems, powering applications from information retrieval to bio-informatics. While graph-based ANNS methods…

机器学习 · 计算机科学 2025-10-07 Dingyi Kang , Dongming Jiang , Hanshen Yang , Hang Liu , Bingzhe Li

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…

信息检索 · 计算机科学 2020-09-18 Wan-Lei Zhao , Hui Wang , Chong-Wah Ngo

Much recent work has been devoted to approximate nearest neighbor queries. Motivated by applications in recommender systems, we consider approximate furthest neighbor (AFN) queries and present a simple, fast, and highly practical data…

数据结构与算法 · 计算机科学 2016-11-23 Rasmus Pagh , Francesco Silvestri , Johan Sivertsen , Matthew Skala

Approximate nearest neighbor search (ANNS) in high-dimensional spaces is a pivotal challenge in the field of machine learning. In recent years, graph-based methods have emerged as the superior approach to ANNS, establishing a new state of…

机器学习 · 计算机科学 2024-07-11 Kejing Lu , Chuan Xiao , Yoshiharu Ishikawa

Nearest neighbor search is fundamental to a wide range of applications. Since the exact nearest neighbor search suffers from the "curse of dimensionality", approximate approaches, such as Locality-Sensitive Hashing (LSH), are widely used to…

数据库 · 计算机科学 2021-04-14 Huan Hu , Jianzhong Li

Neighbor search is a computationally demanding problem, usually both time- and memory-consuming. The main problem of this kind of algorithms is the long execution time due to cache misses. In this work, we propose a quantum algorithm for…

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…

信息检索 · 计算机科学 2025-08-22 Yutaro Oguri , Mai Nishimura , Yusuke Matsui

Similarity search (nearest neighbor search) is a problem of pursuing the data items whose distances to a query item are the smallest from a large database. Various methods have been developed to address this problem, and recently a lot of…

数据结构与算法 · 计算机科学 2014-08-14 Jingdong Wang , Heng Tao Shen , Jingkuan Song , Jianqiu Ji

We present a new approach to approximate nearest-neighbor queries in fixed dimension under a variety of non-Euclidean distances. We are given a set $S$ of $n$ points in $\mathbb{R}^d$, an approximation parameter $\varepsilon > 0$, and a…

计算几何 · 计算机科学 2023-06-28 Ahmed Abdelkader , Sunil Arya , Guilherme D. da Fonseca , David M. Mount

We initiate the study of approximation algorithms and computational barriers for constructing sparse $\alpha$-navigable graphs [IX23, DGM+24], a core primitive underlying recent advances in graph-based nearest neighbor search. Given an…

数据结构与算法 · 计算机科学 2025-07-21 Sanjeev Khanna , Ashwin Padaki , Erik Waingarten

Nearest Neighbor Search (NNS) is a fundamental problem in data structures with wide-ranging applications, such as web search, recommendation systems, and, more recently, retrieval-augmented generations (RAG). In such recent applications, in…

数据结构与算法 · 计算机科学 2026-02-10 Siddharth Barman , Nirjhar Das , Shivam Gupta , Kirankumar Shiragur

A growing interest has been witnessed recently from both academia and industry in building nearest neighbor search (NNS) solutions on top of full-text search engines. Compared with other NNS systems, such solutions are capable of…

信息检索 · 计算机科学 2019-07-30 Cun Mu , Jun Zhao , Guang Yang , Binwei Yang , Zheng Yan

The problem of finding K-nearest neighbors in the given dataset for a given query point has been worked upon since several years. In very high dimensional spaces the K-nearest neighbor search (KNNS) suffers in terms of complexity in…

机器学习 · 计算机科学 2021-02-15 Pramod Vadiraja , Christoph Peter Balada