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Our context of interest is how binary locality sensitive hash (LSH) functions can be used to solve the approximate near neighbour (ANN) problem, which seeks to find the k closest elements of some dataset X to some further point q presented…

Computational Geometry · Computer Science 2026-05-25 Ben Claydon , Richard Connor , Alan Dearle

In this work, we show deep connections between Locality Sensitive Hashability and submodular analysis. We show that the LSHablility of the most commonly analyzed set similarities is in one-to-one correspondance with the supermodularity of…

Discrete Mathematics · Computer Science 2018-07-19 Maxim Berman , Matthew B. Blaschko

We present a GPU-based Locality Sensitive Hashing (LSH) algorithm to speed up beam search for sequence models. We utilize the winner-take-all (WTA) hash, which is based on relative ranking order of hidden dimensions and thus resilient to…

Computation and Language · Computer Science 2018-06-05 Xing Shi , Shizhen Xu , Kevin Knight

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

A Monotone Minimal Perfect Hash Function (MMPHF) constructed on a set S of keys is a function that maps each key in S to its rank. On keys not in S, the function returns an arbitrary value. Applications range from databases, search engines,…

Data Structures and Algorithms · Computer Science 2023-08-31 Paolo Ferragina , Hans-Peter Lehmann , Peter Sanders , Giorgio Vinciguerra

Semantic caching has emerged as a pivotal technique for scaling LLM applications, widely adopted by major providers including AWS and Microsoft. By utilizing semantic embedding vectors as cache keys, this mechanism effectively minimizes…

Cryptography and Security · Computer Science 2026-02-02 Zhixiang Zhang , Zesen Liu , Yuchong Xie , Quanfeng Huang , Dongdong She

Cross-modal hashing (CMH) is one of the most promising methods in cross-modal approximate nearest neighbor search. Most CMH solutions ideally assume the labels of training and testing set are identical. However, the assumption is often…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Runmin Wang , Guoxian Yu , Lei Liu , Lizhen Cui , Carlotta Domeniconi , Xiangliang Zhang

Minimal perfect hashing is the problem of mapping a static set of $n$ distinct keys into the address space $\{1,\ldots,n\}$ bijectively. It is well-known that $n\log_2(e)$ bits are necessary to specify a minimal perfect hash function (MPHF)…

Data Structures and Algorithms · Computer Science 2023-04-13 Giulio Ermanno Pibiri , Yoshihiro Shibuya , Antoine Limasset

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

When reasoning about tasks that involve large amounts of data, a common approach is to represent data items as objects in the Hamming space where operations can be done efficiently and effectively. Object similarity can then be computed by…

Information Retrieval · Computer Science 2021-03-29 Christian Hansen , Casper Hansen , Jakob Grue Simonsen , Christina Lioma

Existing methods for retrieving k-nearest neighbours suffer from the curse of dimensionality. We argue this is caused in part by inherent deficiencies of space partitioning, which is the underlying strategy used by most existing methods. We…

Data Structures and Algorithms · Computer Science 2017-04-07 Ke Li , Jitendra Malik

Locality-sensitive hashing (LSH) is a well-known solution for approximate nearest neighbor (ANN) search with theoretical guarantees. Traditional LSH-based methods mainly focus on improving the efficiency and accuracy of query phase by…

Databases · Computer Science 2026-03-27 Jiuqi Wei , Xiaodong Lee , Botao Peng , Quanqing Xu , Chuanhui Yang , Themis Palpanas

Due to the impressive learning power, deep learning has achieved a remarkable performance in supervised hash function learning. In this paper, we propose a novel asymmetric supervised deep hashing method to preserve the semantic structure…

Computer Vision and Pattern Recognition · Computer Science 2018-01-26 Jinxing Li , Bob Zhang , Guangming Lu , David Zhang

Similarity search (nearest neighbor search) is a problem of pursuing the data items whose distances to a query item are the smallest from a large database. Various methods have been developed to address this problem, and recently a lot of…

Data Structures and Algorithms · Computer Science 2014-08-14 Jingdong Wang , Heng Tao Shen , Jingkuan Song , Jianqiu Ji

Approximate Nearest Neighbor Search (ANNS) is a fundamental problem in many areas of machine learning and data mining. During the past decade, numerous hashing algorithms are proposed to solve this problem. Every proposed algorithm claims…

Computer Vision and Pattern Recognition · Computer Science 2019-06-20 Deng Cai

Recently, supervised hashing methods have attracted much attention since they can optimize retrieval speed and storage cost while preserving semantic information. Because hashing codes learning is NP-hard, many methods resort to some form…

Machine Learning · Computer Science 2017-12-05 Zihao Hu , Xiyi Luo , Hongtao Lu , Yong Yu

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…

Data Structures and Algorithms · Computer Science 2021-06-23 Joshua Engels , Benjamin Coleman , Anshumali Shrivastava

Locality-sensitive hashing converts high-dimensional feature vectors, such as image and speech, into bit arrays and allows high-speed similarity calculation with the Hamming distance. There is a hashing scheme that maps feature vectors to…

Machine Learning · Computer Science 2012-12-27 Makiko Konoshima , Yui Noma

The adoption of an appropriate approximate similarity search method is an essential prereq-uisite for developing a fast and efficient CBIR system, especially when dealing with large amount ofdata. In this study we implement a web image…

Computer Vision and Pattern Recognition · Computer Science 2021-05-05 Alessio Schiavo , Filippo Minutella , Mattia Daole , Marsha Gomez Gomez

The simple approach of retrieving a closest match of a query image from one in the gallery, compares an image pair using sum of absolute difference in pixel or feature space. The process is computationally expensive, ill-posed to…

Computer Vision and Pattern Recognition · Computer Science 2019-07-02 Saket Singh , Debdoot Sheet , Mithun Dasgupta
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