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Given a set $S$ of $n$ distinct keys, a function $f$ that bijectively maps the keys of $S$ into the range $\{0,\ldots,n-1\}$ is called a minimal perfect hash function for $S$. Algorithms that find such functions when $n$ is large and retain…

Data Structures and Algorithms · Computer Science 2022-02-08 Giulio Ermanno Pibiri , Roberto Trani

Locality sensitive hashing (LSH) is a fundamental algorithmic toolkit used by data scientists for approximate nearest neighbour search problems that have been used extensively in many large scale data processing applications such as near…

Machine Learning · Statistics 2025-03-04 Bhisham Dev Verma , Rameshwar Pratap

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…

Computational Geometry · Computer Science 2017-04-11 Sariel Har-Peled , Sepideh Mahabadi

Nearest neighbor (NN) search is inherently computationally expensive in high-dimensional spaces due to the curse of dimensionality. As a well-known solution, locality-sensitive hashing (LSH) is able to answer c-approximate NN (c-ANN)…

Databases · Computer Science 2021-07-13 Bolong Zheng , Xi Zhao , Lianggui Weng , Nguyen Quoc Viet Hung , Hang Liu , Christian S. Jensen

Similarity search methods are widely used as kernels in various machine learning applications. Nearest neighbor search (NNS) algorithms are often used to retrieve similar entries, given a query. While there exist efficient techniques for…

Databases · Computer Science 2010-06-18 Rajendra Shinde , Ashish Goel , Pankaj Gupta , Debojyoti Dutta

The fruit fly Drosophila's olfactory circuit has inspired a new locality sensitive hashing (LSH) algorithm, FlyHash. In contrast with classical LSH algorithms that produce low dimensional hash codes, FlyHash produces sparse high-dimensional…

Machine Learning · Computer Science 2020-10-09 Chaitanya K. Ryali , John J. Hopfield , Leopold Grinberg , Dmitry Krotov

Hashing is a basic tool for dimensionality reduction employed in several aspects of machine learning. However, the perfomance analysis is often carried out under the abstract assumption that a truly random unit cost hash function is used,…

Machine Learning · Statistics 2017-11-27 Søren Dahlgaard , Mathias Bæk Tejs Knudsen , Mikkel Thorup

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

Neyshabur and Srebro proposed Simple-LSH, which is the state-of-the-art hashing method for maximum inner product search (MIPS) with performance guarantee. We found that the performance of Simple-LSH, in both theory and practice, suffers…

Machine Learning · Computer Science 2018-10-23 Xiao Yan , Jinfeng Li , Xinyan Dai , Hongzhi Chen , James Cheng

Locality-sensitive hashing (LSH) is a fundamental algorithmic technique widely employed in large-scale data processing applications, such as nearest-neighbor search, entity resolution, and clustering. However, its applicability in some…

Information Retrieval · Computer Science 2024-02-01 Runhui Wang , Luyang Kong , Yefan Tao , Andrew Borthwick , Davor Golac , Henrik Johnson , Shadie Hijazi , Dong Deng , Yongfeng Zhang

Locality-sensitive hashing (LSH), introduced by Indyk and Motwani in STOC '98, has been an extremely influential framework for nearest neighbor search in high-dimensional data sets. While theoretical work has focused on the approximate…

Data Structures and Algorithms · Computer Science 2018-12-07 Tobias Christiani , Rasmus Pagh , Mikkel Thorup

Cryptographic digests (e.g., MD5, SHA-256) are designed to provide exact identity. Any single-bit change in the input produces a completely different hash, which is ideal for integrity verification but limits their usefulness in many…

Cryptography and Security · Computer Science 2026-02-18 Udbhav Prasad , Aniesh Chawla

Consistent hashing is used in distributed systems and networking applications to spread data evenly and efficiently across a cluster of nodes. In this paper, we present MementoHash, a novel consistent hashing algorithm that eliminates known…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-28 Massimo Coluzzi , Amos Brocco , Alessandro Antonucci , Tiziano Leidi

Web application security has become a major concern in recent years, as more and more content and services are available online. A useful method for identifying security vulnerabilities is black-box testing, which relies on an automated…

Cryptography and Security · Computer Science 2020-01-07 Ilan Ben-Bassat , Erez Rokah

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 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

The Jaccard index is an important similarity measure for item sets and Boolean data. On large datasets, an exact similarity computation is often infeasible for all item pairs both due to time and space constraints, giving rise to faster…

Data Structures and Algorithms · Computer Science 2021-03-09 Marc Bury , Chris Schwiegelshohn , Mara Sorella

Recently, hashing is widely used in approximate nearest neighbor search for its storage and computational efficiency. Most of the unsupervised hashing methods learn to map images into semantic similarity-preserving hash codes by…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Xiao Luo , Daqing Wu , Zeyu Ma , Chong Chen , Minghua Deng , Jinwen Ma , Zhongming Jin , Jianqiang Huang , Xian-Sheng Hua

Due to its low storage cost and fast query speed, hashing has been recognized to accomplish similarity search in large-scale multimedia retrieval applications. Particularly supervised hashing has recently received considerable research…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Zheng Zhang , Guo-sen Xie , Yang Li , Sheng Li , Zi Huang

Online hashing has attracted extensive research attention when facing streaming data. Most online hashing methods, learning binary codes based on pairwise similarities of training instances, fail to capture the semantic relationship, and…

Computer Vision and Pattern Recognition · Computer Science 2019-06-03 Mingbao Lin , Rongrong Ji , Shen Chen , Feng Zheng , Xiaoshuai Sun , Baochang Zhang , Liujuan Cao , Guodong Guo , Feiyue Huang
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