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The indexing algorithms for the high-dimensional nearest neighbor search (NNS) with the best worst-case guarantees are based on the randomized Locality Sensitive Hashing (LSH), and its derivatives. In practice, many heuristic approaches…

Data Structures and Algorithms · Computer Science 2022-07-08 Alexandr Andoni , Daniel Beaglehole

The simple approach of retrieving a closest match of a query image from one in the gallery, compares an image pair using sum of absolute difference in pixel or feature space. The process is computationally expensive, ill-posed to…

Computer Vision and Pattern Recognition · Computer Science 2019-07-02 Saket Singh , Debdoot Sheet , Mithun Dasgupta

We present a new data structure for the c-approximate near neighbor problem (ANN) in the Euclidean space. For n points in R^d, our algorithm achieves O(n^{\rho} + d log n) query time and O(n^{1 + \rho} + d log n) space, where \rho <=…

Data Structures and Algorithms · Computer Science 2013-10-09 Alexandr Andoni , Piotr Indyk , Huy L. Nguyen , Ilya Razenshteyn

This paper introduces "Multi-Level Spherical LSH": parameter-free, a multi-level, data-dependant Locality Sensitive Hashing data structure for solving the Approximate Near Neighbors Problem (ANN). This data structure uses a modified version…

Data Structures and Algorithms · Computer Science 2017-09-19 Teresa Nicole Brooks , Rania Almajalid

Similarity graphs are an active research direction for the nearest neighbor search (NNS) problem. New algorithms for similarity graph construction are continuously being proposed and analyzed by both theoreticians and practitioners.…

Machine Learning · Computer Science 2020-02-14 Dmitry Baranchuk , Artem Babenko

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

Locality-sensitive hashing (LSH) is an effective randomized technique widely used in many machine learning tasks. The cost of hashing is proportional to data dimensions, and thus often the performance bottleneck when dimensionality is high…

Machine Learning · Computer Science 2023-09-28 Zongyuan Tan , Hongya Wang , Bo Xu , Minjie Luo , Ming Du

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…

Information Retrieval · Computer Science 2019-07-30 Cun Mu , Jun Zhao , Guang Yang , Binwei Yang , Zheng Yan

Nearest neighbors search is a fundamental problem in various research fields like machine learning, data mining and pattern recognition. Recently, hashing-based approaches, e.g., Locality Sensitive Hashing (LSH), are proved to be effective…

Information Retrieval · Computer Science 2012-05-15 Yue Lin , Deng Cai , Cheng Li

Among many solutions to the high-dimensional approximate nearest neighbor (ANN) search problem, locality sensitive hashing (LSH) is known for its sub-linear query time and robust theoretical guarantee on query accuracy. Traditional LSH…

Databases · Computer Science 2022-07-21 Yao Tian , Xi Zhao , Xiaofang Zhou

We consider the fundamental problem of decomposing a large-scale approximate nearest neighbor search (ANNS) problem into smaller sub-problems. The goal is to partition the input points into neighborhood-preserving shards, so that the…

Data Structures and Algorithms · Computer Science 2024-03-05 Lars Gottesbüren , Laxman Dhulipala , Rajesh Jayaram , Jakub Lacki

The problem of landmark recognition has achieved excellent results in small-scale datasets. When dealing with large-scale retrieval, issues that were irrelevant with small amount of data, quickly become fundamental for an efficient…

Computer Vision and Pattern Recognition · Computer Science 2018-06-18 Federico Magliani , Tomaso Fontanini , Andrea Prati

Nearest-neighbor search, which returns the nearest neighbor of a query point in a set of points, is an important and widely studied problem in many fields, and it has wide range of applications. In many of them, such as sensor databases,…

Computational Geometry · Computer Science 2016-06-02 Pankaj K. Agarwal , Boris Aronov , Sariel Har-Peled , Jeff M. Philips , Ke Yi , Wuzhou Zhang

Similarity search in high-dimensional spaces is an important task for many multimedia applications. Due to the notorious curse of dimensionality, approximate nearest neighbor techniques are preferred over exact searching techniques since…

Databases · Computer Science 2020-10-16 Omid Jafari , Parth Nagarkar , Jonathan Montaño

Approximate Nearest Neighbor Search (ANNS) on high-dimensional vectors has become a fundamental and essential component in various machine learning tasks. Recently, with the rapid development of deep learning models and the applications of…

Databases · Computer Science 2025-02-21 Zeyu Wang , Haoran Xiong , Qitong Wang , Zhenying He , Peng Wang , Themis Palpanas , Wei Wang

This work presents an adaptive group testing framework for the range-based high dimensional near neighbor search problem. Our method efficiently marks each item in a database as neighbor or non-neighbor of a query point, based on a cosine…

Data Structures and Algorithms · Computer Science 2024-09-10 Harsh Shah , Kashish Mittal , Ajit Rajwade

Nearest neighbor search aims to obtain the samples in the database with the smallest distances from them to the queries, which is a basic task in a range of fields, including computer vision and data mining. Hashing is one of the most…

Computer Vision and Pattern Recognition · Computer Science 2022-04-26 Xiao Luo , Haixin Wang , Daqing Wu , Chong Chen , Minghua Deng , Jianqiang Huang , Xian-Sheng Hua

Approximate nearest neighbor search (ANNS) is a fundamental problem in databases and data mining. A scalable ANNS algorithm should be both memory-efficient and fast. Some early graph-based approaches have shown attractive theoretical…

Machine Learning · Computer Science 2025-07-08 Cong Fu , Chao Xiang , Changxu Wang , Deng Cai

Search engines and recommendation systems are built to efficiently display relevant information from those massive amounts of candidates. Typically a three-stage mechanism is employed in those systems: (i) a small collection of items are…

Information Retrieval · Computer Science 2022-11-09 Weijie Zhao , Shulong Tan , Ping Li

Meeting real-time constraints for high-performance Approximate Nearest Neighbor (ANN) search remains a critical challenge in remote sensing edge devices, which are essentially fusion systems like micro-satellites and UAVs, largely due to…

Computational Geometry · Computer Science 2025-11-24 Xianwei Lv , Debin Tang , Zhecheng Shi , Wang Wang , Yujiao Zheng , Xiatian Zhu
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