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Approximate nearest neighbor (ANN) search is a fundamental problem in many areas of data mining, machine learning and computer vision. The performance of traditional hierarchical structure (tree) based methods decreases as the…

Computer Vision and Pattern Recognition · Computer Science 2016-12-06 Cong Fu , Deng Cai

One way to find closest pairs in large datasets is to use hash functions. In recent years locality-sensitive hash functions for various metrics have been given: projecting an n-cube onto k bits is simple hash function that performs well. In…

Information Theory · Computer Science 2009-10-15 Daniel M. Gordon , Victor Miller , Peter Ostapenko

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

We consider a new construction of locality-sensitive hash functions for Hamming space that is \emph{covering} in the sense that is it guaranteed to produce a collision for every pair of vectors within a given radius $r$. The construction is…

Data Structures and Algorithms · Computer Science 2016-01-08 Rasmus Pagh

We compare the performance of three nearest neighbor search algorithms: the Orchard, ball tree, and VP-tree algorithms. These algorithms are commonly used for nearest-neighbor searches and are known for their efficiency in large datasets.…

Data Structures and Algorithms · Computer Science 2023-07-12 Hanitriniala Malalatiana Rakotondrasoa , Martin Bucher , Ilya Sinayskiy

With the rapid development of GPU (Graphics Processing Unit) technologies and neural networks, we can explore more appropriate data structures and algorithms. Recent progress shows that neural networks can partly replace traditional data…

Information Retrieval · Computer Science 2023-10-17 Renyang Liu , Jun Zhao , Xing Chu , Yu Liang , Wei Zhou , Jing He

Weighted Hamming distance, as a similarity measure between binary codes and binary queries, provides superior accuracy in search tasks than Hamming distance. However, how to efficiently and accurately find $K$ binary codes that have the…

Computer Vision and Pattern Recognition · Computer Science 2021-08-11 Zhenyu Weng , Yuesheng Zhu , Ruixin Liu

Many multimedia information retrieval or machine learning problems require efficient high-dimensional nearest neighbor search techniques. For instance, multimedia objects (images, music or videos) can be represented by high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2017-12-11 Fabien André

Similarity-preserving hashing is a widely-used method for nearest neighbour search in large-scale image retrieval tasks. There has been considerable research on generating efficient image representation via the deep-network-based hashing…

Computer Vision and Pattern Recognition · Computer Science 2017-10-20 Hanjiang Lai , Yan Pan

An important question that arises in the study of high dimensional vector representations learned from data is: given a set $\mathcal{D}$ of vectors and a query $q$, estimate the number of points within a specified distance threshold of…

Data Structures and Algorithms · Computer Science 2018-09-21 Xian Wu , Moses Charikar , Vishnu Natchu

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

In this work, we address the problem of cardinality estimation for similarity search in high-dimensional spaces. Our goal is to design a framework that is lightweight, easy to construct, and capable of providing accurate estimates with…

Databases · Computer Science 2026-04-07 Zhonghan Chen , Qintian Guo , Ruiyuan Zhang , Xiaofang Zhou

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…

Data Structures and Algorithms · Computer Science 2016-11-23 Rasmus Pagh , Francesco Silvestri , Johan Sivertsen , Matthew Skala

The $k$-d tree is one of the oldest and most widely used data structures for nearest neighbor search. It partitions Euclidean space into axis-aligned rectangular cells. There are two standard ways to find the nearest neighbor to a query in…

Data Structures and Algorithms · Computer Science 2026-05-13 Marco Bazzani , Sanjoy Dasgupta

$\newcommand{\ball}{\mathbb{B}}\newcommand{\dsQ}{{\mathcal{Q}}}\newcommand{\dsS}{{\mathcal{S}}}$In this work we study a fair variant of the near neighbor problem. Namely, given a set of $n$ points $P$ and a parameter $r$, the goal is to…

Machine Learning · Computer Science 2019-11-25 Sariel Har-Peled , Sepideh Mahabadi

Nearest Neighbors Algorithm is a Lazy Learning Algorithm, in which the algorithm tries to approximate the predictions with the help of similar existing vectors in the training dataset. The predictions made by the K-Nearest Neighbors…

Machine Learning · Computer Science 2018-11-14 Chandrasekaran Anirudh Bhardwaj , Megha Mishra , Kalyani Desikan

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

Large scale agglomerative clustering is hindered by computational burdens. We propose a novel scheme where exact inter-instance distance calculation is replaced by the Hamming distance between Kernelized Locality-Sensitive Hashing (KLSH)…

Machine Learning · Computer Science 2013-01-17 Boyi Xie , Shuheng Zheng

Binary codes are widely used to represent the data due to their small storage and efficient computation. However, there exists an ambiguity problem that lots of binary codes share the same Hamming distance to a query. To alleviate the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Zhenyu Weng , Yuesheng Zhu

This paper reconsiders common benchmarking approaches to nearest neighbor search. It is shown that the concept of local intrinsic dimensionality (LID) allows to choose query sets of a wide range of difficulty for real-world datasets.…

Information Retrieval · Computer Science 2019-07-18 Martin Aumüller , Matteo Ceccarello