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We show that approximate near neighbor search in high dimensions can be solved in a Las Vegas fashion (i.e., without false negatives) for $\ell_p$ ($1\le p\le 2$) while matching the performance of optimal locality-sensitive hashing.…

Data Structures and Algorithms · Computer Science 2018-07-20 Alexander Wei

KNN has the reputation to be the word simplest but efficient supervised learning algorithm used for either classification or regression. KNN prediction efficiency highly depends on the size of its training data but when this training data…

Machine Learning · Computer Science 2021-07-01 Jude Tchaye-Kondi , Yanlong Zhai , Liehuang Zhu

In Near-Neighbor Search (NNS), a new client queries a database (held by a server) for the most similar data (near-neighbors) given a certain similarity metric. The Privacy-Preserving variant (PP-NNS) requires that neither server nor the…

Cryptography and Security · Computer Science 2019-10-18 M. Sadegh Riazi , Beidi Chen , Anshumali Shrivastava , Dan Wallach , Farinaz Koushanfar

In this paper, we propose a method for density-based clustering in high-dimensional spaces that combines Locality-Sensitive Hashing (LSH) with the Quick Shift algorithm. The Quick Shift algorithm, known for its hierarchical clustering…

Machine Learning · Computer Science 2025-12-01 Sajjad Hashemian

We discuss the problem of performing similarity search over function spaces. To perform search over such spaces in a reasonable amount of time, we use {\it locality-sensitive hashing} (LSH). We present two methods that allow LSH functions…

Machine Learning · Computer Science 2020-02-11 Will Shand , Stephen Becker

We study lower bounds for Locality Sensitive Hashing (LSH) in the strongest setting: point sets in {0,1}^d under the Hamming distance. Recall that here H is said to be an (r, cr, p, q)-sensitive hash family if all pairs x, y in {0,1}^d with…

Data Structures and Algorithms · Computer Science 2009-12-02 Ryan O'Donnell , Yi Wu , Yuan Zhou

Given a collection of objects and an associated similarity measure, the all-pairs similarity search problem asks us to find all pairs of objects with similarity greater than a certain user-specified threshold. Locality-sensitive hashing…

Databases · Computer Science 2012-03-29 Venu Satuluri , Srinivasan Parthasarathy

Learning to hash is an efficient paradigm for exact and approximate nearest neighbor search from massive databases. Binary hash codes are typically extracted from an image by rounding output features from a CNN, which is trained on a…

Machine Learning · Computer Science 2020-05-12 Heikki Arponen , Tom E. Bishop

We study the problem of approximate near neighbor (ANN) search and show the following results: - An improved framework for solving the ANN problem using locality-sensitive hashing, reducing the number of evaluations of locality-sensitive…

Data Structures and Algorithms · Computer Science 2019-06-25 Tobias Christiani

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

Recently it was shown that the problem of Maximum Inner Product Search (MIPS) is efficient and it admits provably sub-linear hashing algorithms. Asymmetric transformations before hashing were the key in solving MIPS which was otherwise…

Machine Learning · Statistics 2014-11-14 Anshumali Shrivastava , Ping Li

In the panoply of pattern classification techniques, few enjoy the intuitive appeal and simplicity of the nearest neighbor rule: given a set of samples in some metric domain space whose value under some function is known, we estimate the…

Machine Learning · Computer Science 2013-09-10 Shaun N. Joseph , Seif Omar Abu Bakr , Gabriel Lugo

Automatic crash bucketing is a crucial phase in the software development process for efficiently triaging bug reports. It generally consists in grouping similar reports through clustering techniques. However, with real-time streaming bug…

Software Engineering · Computer Science 2023-10-11 Youcef Remil , Anes Bendimerad , Romain Mathonat , Chedy Raissi , Mehdi Kaytoue

Approximate nearest neighbour (ANN) search is one of the most important problems in computer science fields such as data mining or computer vision. In this paper, we focus on ANN for high-dimensional binary vectors and we propose a simple…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Michal Komorowski , Tomasz Trzcinski

We study data structures for storing a set of polygonal curves in ${\rm R}^d$ such that, given a query curve, we can efficiently retrieve similar curves from the set, where similarity is measured using the discrete Fr\'echet distance or the…

Computational Geometry · Computer Science 2017-03-14 Anne Driemel , Francesco Silvestri

Neighborhood finders and nearest neighbor queries are fundamental parts of sampling based motion planning algorithms. Using different distance metrics or otherwise changing the definition of a neighborhood produces different algorithms with…

Robotics · Computer Science 2025-06-17 Stav Ashur , Nancy M. Amato , Sariel Har-Peled

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

All pairs similarity search is a problem where a set of data objects is given and the task is to find all pairs of objects that have similarity above a certain threshold for a given similarity measure-of-interest. When the number of points…

Information Retrieval · Computer Science 2016-06-29 Aniket Chakrabarti , Srinivasan Parthasarathy

Locality-sensitive hashing (LSH) has found widespread use as a fundamental primitive, particularly to accelerate nearest neighbor search. An LSH scheme for a similarity function $S:\mathcal{X} \times \mathcal{X} \to [0,1]$ is a distribution…

Data Structures and Algorithms · Computer Science 2026-05-13 Flavio Chierichetti , Mirko Giacchini , Ravi Kumar , Erasmo Tani

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
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