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As data volumes continue to grow, searches in data are becoming increasingly time-consuming. Classical index structures for neighbor search are no longer sustainable due to the "curse of dimensionality". Instead, approximated index…

Machine Learning · Computer Science 2021-11-17 Li Wang , Lilon Wangner

We investigate the problem of finding reverse nearest neighbors efficiently. Although provably good solutions exist for this problem in low or fixed dimensions, to this date the methods proposed in high dimensions are mostly heuristic. We…

Computational Geometry · Computer Science 2010-11-24 David Arthur , Steve Y. Oudot

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

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…

Data Structures and Algorithms · Computer Science 2020-04-23 Haim Kaplan , Jay Tenenbaum

Learning from set-structured data is an essential problem with many applications in machine learning and computer vision. This paper focuses on non-parametric and data-independent learning from set-structured data using approximate nearest…

Machine Learning · Computer Science 2022-02-10 Yuzhe Lu , Xinran Liu , Andrea Soltoggio , Soheil Kolouri

Hashing, or learning binary embeddings of data, is frequently used in nearest neighbor retrieval. In this paper, we develop learning to rank formulations for hashing, aimed at directly optimizing ranking-based evaluation metrics such as…

Machine Learning · Statistics 2018-10-11 Kun He , Fatih Cakir , Sarah Adel Bargal , Stan Sclaroff

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…

Databases · Computer Science 2016-10-11 Wen Li , Ying Zhang , Yifang Sun , Wei Wang , Wenjie Zhang , Xuemin Lin

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

The Approximate Near Neighbor (ANN) problem is a cornerstone in high-dimensional data analysis, with applications ranging from information retrieval to data mining. Among the most successful paradigms for solving ANN in high-dimensional…

Data Structures and Algorithms · Computer Science 2026-04-28 Luca Becchetti , Andrea Clementi , Luciano Gualà , Emanuele Natale , Luca Pepè Sciarria , Alessandro Straziota

As data volumes continue to grow, clustering and outlier detection algorithms are becoming increasingly time-consuming. Classical index structures for neighbor search are no longer sustainable due to the "curse of dimensionality". Instead,…

Databases · Computer Science 2021-05-12 Li Wang

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

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…

Machine Learning · Computer Science 2019-10-29 Lin Chen , Hossein Esfandiari , Thomas Fu , Vahab S. Mirrokni

Space partitions of $\mathbb{R}^d$ underlie a vast and important class of fast nearest neighbor search (NNS) algorithms. Inspired by recent theoretical work on NNS for general metric spaces [Andoni, Naor, Nikolov, Razenshteyn, Waingarten…

Machine Learning · Computer Science 2020-09-30 Yihe Dong , Piotr Indyk , Ilya Razenshteyn , Tal Wagner

Large-scale approximate nearest neighbor search (ANN) has been gaining attention along with the latest machine learning researches employing ANNs. If the data is too large to fit in memory, it is necessary to search for the most similar…

Machine Learning · Computer Science 2025-01-29 Taiga Ikeda , Daisuke Miyashita , Jun Deguchi

Contrastive learning is a representational learning paradigm in which a neural network maps data elements to feature vectors. It improves the feature space by forming lots with an anchor and examples that are either positive or negative…

Computer Vision and Pattern Recognition · Computer Science 2025-05-26 Fabian Deuser , Philipp Hausenblas , Hannah Schieber , Daniel Roth , Martin Werner , Norbert Oswald

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 study the $r$-near neighbors reporting problem ($r$-NN), i.e., reporting \emph{all} points in a high-dimensional point set $S$ that lie within a radius $r$ of a given query point $q$. Our approach builds upon on the locality-sensitive…

Databases · Computer Science 2017-03-29 Ninh Pham

Learning to hash has been widely applied to approximate nearest neighbor search for large-scale multimedia retrieval, due to its computation efficiency and retrieval quality. Deep learning to hash, which improves retrieval quality by…

Machine Learning · Computer Science 2017-08-01 Zhangjie Cao , Mingsheng Long , Jianmin Wang , Philip S. Yu

Fast approximate nearest neighbor (NN) search in large databases is becoming popular. Several powerful learning-based formulations have been proposed recently. However, not much attention has been paid to a more fundamental question: how…

Machine Learning · Computer Science 2012-07-03 Junfeng He , Sanjiv Kumar , Shih-Fu Chang

Near neighbor problems are fundamental in algorithms for high-dimensional Euclidean spaces. While classical approaches suffer from the curse of dimensionality, locality sensitive hashing (LSH) can effectively solve a-approximate r-near…

Data Structures and Algorithms · Computer Science 2016-12-15 Wenlong Mou , Liwei Wang