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Finding nearest neighbors in high-dimensional spaces is a fundamental operation in many diverse application domains. Locality Sensitive Hashing (LSH) is one of the most popular techniques for finding approximate nearest neighbor searches in…

数据库 · 计算机科学 2021-02-18 Omid Jafari , Preeti Maurya , Parth Nagarkar , Khandker Mushfiqul Islam , Chidambaram Crushev

Locality Sensitive Hashing (LSH) is an effective method to index a set of points such that we can efficiently find the nearest neighbors of a query point. We extend this method to our novel Set-query LSH (SLSH), such that it can find the…

数据结构与算法 · 计算机科学 2020-04-23 Haim Kaplan , Jay Tenenbaum

The approximate nearest neighbor problem ($\epsilon$-ANN) in high dimensional Euclidean space has been mainly addressed by Locality Sensitive Hashing (LSH), which has polynomial dependence in the dimension, sublinear query time, but…

计算几何 · 计算机科学 2016-12-06 Evangelos Anagnostopoulos , Ioannis Z. Emiris , Ioannis Psarros

We present NearBucket-LSH, an effective algorithm for similarity search in large-scale distributed online social networks organized as peer-to-peer overlays. As communication is a dominant consideration in distributed systems, we focus on…

分布式、并行与集群计算 · 计算机科学 2015-11-24 Naama Kraus , David Carmel , Idit Keidar , Meni Orenbach

LSH (locality sensitive hashing) had emerged as a powerful technique in nearest-neighbor search in high dimensions [IM98, HIM12]. Given a point set $P$ in a metric space, and given parameters $r$ and $\varepsilon > 0$, the task is to…

计算几何 · 计算机科学 2017-04-11 Sariel Har-Peled , Sepideh Mahabadi

The main contribution of this dissertation is the introduction of new or improved approximation algorithms and data structures for several similarity search problems. We examine the furthest neighbor query, the annulus query, distance…

数据结构与算法 · 计算机科学 2019-06-13 Johan von Tangen Sivertsen

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…

数据结构与算法 · 计算机科学 2022-07-08 Alexandr Andoni , Daniel Beaglehole

We present a new algorithm for the approximate near neighbor problem that combines classical ideas from group testing with locality-sensitive hashing (LSH). We reduce the near neighbor search problem to a group testing problem by…

数据结构与算法 · 计算机科学 2021-06-23 Joshua Engels , Benjamin Coleman , Anshumali Shrivastava

Nearest-neighbor query processing is a fundamental operation for many image retrieval applications. Often, images are stored and represented by high-dimensional vectors that are generated by feature-extraction algorithms. Since tree-based…

数据库 · 计算机科学 2019-12-17 Omid Jafari , Khandker Mushfiqul Islam , Parth Nagarkar

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…

数据库 · 计算机科学 2022-07-21 Yao Tian , Xi Zhao , Xiaofang Zhou

Approximate Nearest neighbor search (ANNS) is fundamental and essential operation in applications from many domains, such as databases, machine learning, multimedia, and computer vision. Although many algorithms have been continuously…

数据库 · 计算机科学 2016-10-11 Wen Li , Ying Zhang , Yifang Sun , Wei Wang , Wenjie Zhang , Xuemin Lin

Computing approximate nearest neighbors in high dimensional spaces is a central problem in large-scale data mining with a wide range of applications in machine learning and data science. A popular and effective technique in computing…

机器学习 · 计算机科学 2019-10-29 Lin Chen , Hossein Esfandiari , Thomas Fu , Vahab S. Mirrokni

Locality Sensitive Filters are known for offering a quasi-linear space data structure with rigorous guarantees for the Approximate Near Neighbor search (ANN) problem. Building on Locality Sensitive Filters, we derive a simple data structure…

数据结构与算法 · 计算机科学 2025-05-05 Martin Aumüller , Fabrizio Boninsegna , Francesco Silvestri

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…

计算机视觉与模式识别 · 计算机科学 2022-04-26 Xiao Luo , Haixin Wang , Daqing Wu , Chong Chen , Minghua Deng , Jianqiang Huang , Xian-Sheng Hua

Nearest neighbor search is a problem of finding the data points from the database such that the distances from them to the query point are the smallest. Learning to hash is one of the major solutions to this problem and has been widely…

计算机视觉与模式识别 · 计算机科学 2017-04-25 Jingdong Wang , Ting Zhang , Jingkuan Song , Nicu Sebe , Heng Tao Shen

Feature correspondence selection is pivotal to many feature-matching based tasks in computer vision. Searching for spatially k-nearest neighbors is a common strategy for extracting local information in many previous works. However, there is…

计算机视觉与模式识别 · 计算机科学 2019-04-02 Chen Zhao , Zhiguo Cao , Chi Li , Xin Li , Jiaqi Yang

Nearest Neighbor Search (NNS) has recently drawn a rapid increase of interest due to its core role in managing high-dimensional vector data in data science and AI applications. The interest is fueled by the success of neural embedding,…

分布式、并行与集群计算 · 计算机科学 2022-02-01 Zhen Peng , Minjia Zhang , Kai Li , Ruoming Jin , Bin Ren

We study the Approximate Nearest Neighbor problem for metric spaces where the query points are constrained to lie on a subspace of low doubling dimension, while the data is high-dimensional. We show that this problem can be solved…

计算几何 · 计算机科学 2012-09-19 Sariel Har-Peled , Nirman Kumar

We study spectral algorithms for the high-dimensional Nearest Neighbor Search problem (NNS). In particular, we consider a semi-random setting where a dataset $P$ in $\mathbb{R}^d$ is chosen arbitrarily from an unknown subspace of low…

数据结构与算法 · 计算机科学 2014-08-05 Amirali Abdullah , Alexandr Andoni , Ravindran Kannan , Robert Krauthgamer

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…

机器学习 · 计算机科学 2023-09-28 Zongyuan Tan , Hongya Wang , Bo Xu , Minjie Luo , Ming Du