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We present a data structure for *spherical range reporting* on a point set $S$, i.e., reporting all points in $S$ that lie within radius $r$ of a given query point $q$. Our solution builds upon the Locality-Sensitive Hashing (LSH) framework…

Data Structures and Algorithms · Computer Science 2017-04-11 Thomas D. Ahle , Martin Aumüller , Rasmus Pagh

Approximate nearest neighbor search under universal L_p metrics (ANNS-U-L_p) is an important and challenging research problem, as it requires answering queries under all possible p (0<p <= 2) values simultaneously without building an index…

Databases · Computer Science 2026-05-08 Huayi Wang , Jingfan Meng , Jun Xu

The similarity searches that use high-dimensional feature vectors consisting of a vast amount of data have a wide range of application. One way of conducting a fast similarity search is to transform the feature vectors into binary vectors…

Information Retrieval · Computer Science 2014-06-17 Yui Noma , Makiko Konoshima

Efficient index structures for fast approximate nearest neighbor queries are required in many applications such as recommendation systems. In high-dimensional spaces, many conventional methods suffer from excessive usage of memory and slow…

Remote sensing image retrieval (RSIR), aiming at searching for a set of similar items to a given query image, is a very important task in remote sensing applications. Deep hashing learning as the current mainstream method has achieved…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Weiwei Song , Zhi Gao , Renwei Dian , Pedram Ghamisi , Yongjun Zhang , Jón Atli Benediktsson

To decode a short linear block code, ordered statics decoding (OSD) and/or the $A^*$ decoding are usually considered. Either OSD or the $A^*$ decoding utilizes the magnitudes of the received symbols to establish the most reliable and…

Information Theory · Computer Science 2025-05-16 Mao-Chao Lin , Shih-Kai Lee , Pin Lin , Ching-Chang Lin , Chia-Chun Chen , Teng-Yuan Syu , Huang-Chang Lee

We present a framework for similarity search based on Locality-Sensitive Filtering (LSF), generalizing the Indyk-Motwani (STOC 1998) Locality-Sensitive Hashing (LSH) framework to support space-time tradeoffs. Given a family of filters,…

Data Structures and Algorithms · Computer Science 2016-11-23 Tobias Christiani

Learning-based hashing algorithms are ``hot topics" because they can greatly increase the scale at which existing methods operate. In this paper, we propose a new learning-based hashing method called ``fast supervised discrete hashing"…

Machine Learning · Computer Science 2019-04-09 Jie Gui , Tongliang Liu , Zhenan Sun , Dacheng Tao , Tieniu Tan

Many large multimedia applications require efficient processing of nearest neighbor queries. Often, multimedia data are represented as a collection of important high-dimensional feature vectors. Existing Locality Sensitive Hashing (LSH)…

Databases · Computer Science 2020-10-16 Omid Jafari , Parth Nagarkar , Jonathan Montaño

Relative entropy coding (REC) algorithms encode a random sample following a target distribution $Q$, using a coding distribution $P$ shared between the sender and receiver. Sadly, general REC algorithms suffer from prohibitive encoding…

Information Theory · Computer Science 2024-10-30 Jiajun He , Gergely Flamich , José Miguel Hernández-Lobato

In Linear Programming (LP) decoding of a Low-Density-Parity-Check (LDPC) code one minimizes a linear functional, with coefficients related to log-likelihood ratios, over a relaxation of the polytope spanned by the codewords \cite{03FWK}. In…

Information Theory · Computer Science 2007-07-13 Michael Chertkov , Mikhail G. Stepanov

Simplifying expressions is important to make numerical integration of large expressions from High Energy Physics tractable. To this end, Horner's method can be used. Finding suitable Horner schemes is assumed to be hard, due to the lack of…

Artificial Intelligence · Computer Science 2014-09-19 Ben Ruijl , Aske Plaat , Jos Vermaseren , Jaap van den Herik

High-dimensional vector similarity search (HVSS) is gaining prominence as a powerful tool for various data science and AI applications. As vector data scales up, in-memory indexes pose a significant challenge due to the substantial increase…

Recently, randomly mapping vectorial data to strings of discrete symbols (i.e., sketches) for fast and space-efficient similarity searches has become popular. Such random mapping is called similarity-preserving hashing and approximates a…

Machine Learning · Computer Science 2019-10-21 Shunsuke Kanda , Yasuo Tabei

Sum-rank-metric codes have wide applications in the multishot network coding and the distributed storage. Linearized Reed-Solomon codes, sum-rank BCH codes and their Welch-Berlekamp type decoding algorithms were proposed and studied. They…

Information Theory · Computer Science 2024-04-05 Hao Chen , Yanfeng Qi , Zhiqiang Cheng

Single Molecule Real-Time (SMRT) sequencing is a recent advancement of Next Gen technology developed by Pacific Bio (PacBio). It comes with an explosion of long and noisy reads demanding cutting edge research to get most out of it. To deal…

Genomics · Quantitative Biology 2019-03-13 Angana Chakraborty , Sanghamitra Bandyopadhyay

We present a generic compact computational framework relying on structured random matrices that can be applied to speed up several machine learning algorithms with almost no loss of accuracy. The applications include new fast LSH-based…

Machine Learning · Computer Science 2016-06-07 Krzysztof Choromanski , Francois Fagan , Cedric Gouy-Pailler , Anne Morvan , Tamas Sarlos , Jamal Atif

Locality sensitive hashing (LSH) was introduced by Indyk and Motwani (STOC `98) to give the first sublinear time algorithm for the c-approximate nearest neighbor (ANN) problem using only polynomial space. At a high level, an LSH family…

Data Structures and Algorithms · Computer Science 2017-12-25 Karthekeyan Chandrasekaran , Daniel Dadush , Venkata Gandikota , Elena Grigorescu

To overcome the barrier of storage and computation, the hashing technique has been widely used for nearest neighbor search in multimedia retrieval applications recently. Particularly, cross-modal retrieval that searches across different…

Information Retrieval · Computer Science 2019-05-16 Sarawut Markchit , Chih-Yi Chiu

The ability of fast similarity search at large scale is of great importance to many Information Retrieval (IR) applications. A promising way to accelerate similarity search is semantic hashing which designs compact binary codes for a large…

Information Retrieval · Computer Science 2010-04-30 Dell Zhang , Jun Wang , Deng Cai , Jinsong Lu