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We consider communication over binary-input memoryless output-symmetric channels using low-density parity-check codes and message-passing decoding. The asymptotic (in the length) performance of such a combination for a fixed number of…

Information Theory · Computer Science 2008-02-12 Satish Babu Korada , Ruediger Urbanke

In multimedia, text or bioinformatics databases, applications query sequences of n consecutive symbols called n-grams. Estimating the number of distinct n-grams is a view-size estimation problem. While view sizes can be estimated by…

Databases · Computer Science 2014-02-05 Daniel Lemire , Owen Kaser

We present two new constructions of quantum hash functions: the first based on expander graphs and the second based on extractor functions and estimate the amount of randomness that is needed to construct them. We also propose a keyed…

Quantum Physics · Physics 2016-06-02 Mansur Ziatdinov

Ad hoc parsers are everywhere: they appear any time a string is split, looped over, interpreted, transformed, or otherwise processed. Every ad hoc parser gives rise to a language: the possibly infinite set of input strings that the program…

Software Engineering · Computer Science 2022-07-27 Michael Schröder , Jürgen Cito

Learning-based hashing methods are widely used for nearest neighbor retrieval, and recently, online hashing methods have demonstrated good performance-complexity trade-offs by learning hash functions from streaming data. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Fatih Cakir , Kun He , Sarah Adel Bargal , Stan Sclaroff

Supervised hashing methods are widely-used for nearest neighbor search in computer vision applications. Most state-of-the-art supervised hashing approaches employ batch-learners. Unfortunately, batch-learning strategies can be inefficient…

Computer Vision and Pattern Recognition · Computer Science 2015-11-11 Fatih Cakir , Sarah Adel Bargal , Stan Sclaroff

We say a string has a cadence if a certain character is repeated at regular intervals, possibly with intervening occurrences of that character. We call the cadence anchored if the first interval must be the same length as the others. We…

Data Structures and Algorithms · Computer Science 2016-10-12 Amihood Amir , Alberto Apostolico , Travis Gagie , Gad M. Landau

Typical retrieval systems have three requirements: a) Accurate retrieval i.e., the method should have high precision, b) Diverse retrieval, i.e., the obtained set of points should be diverse, c) Retrieval time should be small. However, most…

Information Retrieval · Computer Science 2020-08-25 Vidyadhar Rao , Prateek Jain , C. V Jawahar

A set X of partial words over a finite alphabet A is called unavoidable if every two-sided infinite word over A has a factor compatible with an element of X. Unlike the case of a set of words without holes, the problem of deciding whether…

Formal Languages and Automata Theory · Computer Science 2017-08-23 Joey Becker , F. Blanchet-Sadri , Laure Flapan , Stephen Watkins

Many real world problems require fast and efficient lexical comparison of large numbers of short text strings. Search personalization is one such domain. We introduce the use of feature bit vectors using the hashing trick for improving…

Information Retrieval · Computer Science 2019-10-22 Braddock Gaskill

Hashing has emerged as a popular technique for large-scale similarity search. Most learning-based hashing methods generate compact yet correlated hash codes. However, this redundancy is storage-inefficient. Hence we propose a lossless…

Computer Vision and Pattern Recognition · Computer Science 2016-03-18 Honghai Yu , Pierre Moulin , Hong Wei Ng , Xiaoli Li

Minwise hashing is a fundamental and one of the most successful hashing algorithm in the literature. Recent advances based on the idea of densification~\cite{Proc:OneHashLSH_ICML14,Proc:Shrivastava_UAI14} have shown that it is possible to…

Data Structures and Algorithms · Computer Science 2017-03-16 Anshumali Shrivastava

Functors with an instance of the Traversable type class can be thought of as data structures which permit a traversal of their elements. This has been made precise by the correspondence between traversable functors and finitary containers…

Logic in Computer Science · Computer Science 2022-07-21 Gershom Bazerman

Hashing produces compact representations for documents, to perform tasks like classification or retrieval based on these short codes. When hashing is supervised, the codes are trained using labels on the training data. This paper first…

Computer Vision and Pattern Recognition · Computer Science 2017-08-11 Alexandre Sablayrolles , Matthijs Douze , Hervé Jégou , Nicolas Usunier

Perfect hash functions can potentially be used to compress data in connection with a variety of data management tasks. Though there has been considerable work on how to construct good perfect hash functions, there is a gap between theory…

Data Structures and Algorithms · Computer Science 2007-05-23 Fabiano C. Botelho , Rasmus Pagh , Nivio Ziviani

While exploring desirable properties of hash functions in cryptography, the author was led to investigate three notions of functions with scattering or "diffusive" properties, where the functions map between binary strings of fixed finite…

Information Theory · Computer Science 2021-02-10 Samer Seraj

Hashing is a common technique used in data processing, with a strong impact on the time and resources spent on computation. Hashing also affects the applicability of theoretical results that often assume access to (unrealistic)…

Data Structures and Algorithms · Computer Science 2023-09-29 Ioana O. Bercea , Lorenzo Beretta , Jonas Klausen , Jakob Bæk Tejs Houen , Mikkel Thorup

Perceptual image hashing methods are often applied in various objectives, such as image retrieval, finding duplicate or near-duplicate images, and finding similar images from large-scale image content. The main challenge in image hashing…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Rubel Biswas , Pablo Blanco-Medina

Binary hashing is a well-known approach for fast approximate nearest-neighbor search in information retrieval. Much work has focused on affinity-based objective functions involving the hash functions or binary codes. These objective…

Machine Learning · Computer Science 2016-02-05 Miguel Á. Carreira-Perpiñán , Ramin Raziperchikolaei

Consistent hashing is a technique for distributing data across a network of nodes in a way that minimizes reorganization when nodes join or leave the network. It is extensively applied in modern distributed systems as a fundamental…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-18 Massimo Coluzzi , Amos Brocco , Alessandro Antonucci , Tiziano Leidi