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We propose a method to exponentially speed up computation of various fingerprints, such as the ones used to compute similarity and rarity in massive data sets. Rather then maintaining the full stream of $b$ items of a universe $[u]$, such…

Data Structures and Algorithms · Computer Science 2010-09-30 Yoram Bachrach , Ely Porat

A novel fast recursive coding technique is proposed. It operates with only integer values not longer 8 bits and is multiplication free. Recursion the algorithm is based on indirectly provides rather effective coding of symbols for very…

Information Theory · Computer Science 2007-08-22 Nikolay Ponomarenko , Vladimir Lukin , Karen Egiazarian , Jaakko Astola , Boris Y Ryabko

We show that every almost universal hash function also has the storage enforcement property. Almost universal hash functions have found numerous applications and we show that this new storage enforcement property allows the application of…

Information Theory · Computer Science 2012-05-08 Mohammad Iftekhar Husain , Steve Ko , Atri Rudra , Steve Uurtamo

In this paper, we study several critical issues which must be tackled before one can apply b-bit minwise hashing to the volumes of data often used industrial applications, especially in the context of search. 1. (b-bit) Minwise hashing…

Information Retrieval · Computer Science 2012-05-15 Ping Li , Anshumali Shrivastava , Arnd Christian Konig

This paper proposes a method for identification of a user`s fixed string set (which can be a command/instruction set for a terminal or microprocessor). This method is fast and has very small memory requirements, compared to a traditional…

Human-Computer Interaction · Computer Science 2007-05-23 Dimitrios Skraparlis

Counting the number of ones in a binary stream is a common operation in database, information-retrieval, cryptographic and machine-learning applications. Most processors have dedicated instructions to count the number of ones in a word…

Data Structures and Algorithms · Computer Science 2018-09-07 Wojciech Muła , Nathan Kurz , Daniel Lemire

String matching is the problem of finding all the substrings of a text which match a given pattern. It is one of the most investigated problems in computer science, mainly due to its very diverse applications in several fields. Recently,…

Data Structures and Algorithms · Computer Science 2017-07-04 Domenico Cantone , Simone Faro , Arianna Pavone

Universal hashing, discovered by Carter and Wegman in 1979, has many important applications in computer science. MMH$^*$, which was shown to be $\Delta$-universal by Halevi and Krawczyk in 1997, is a well-known universal hash function…

Cryptography and Security · Computer Science 2020-10-13 Khodakhast Bibak , Bruce M. Kapron , Venkatesh Srinivasan , László Tóth

Cayley hash functions are based on a simple idea of using a pair of semigroup elements, A and B, to hash the 0 and 1 bit, respectively, and then to hash an arbitrary bit string in the natural way, by using multiplication of elements in the…

Cryptography and Security · Computer Science 2024-02-09 Vladimir Shpilrain , Bianca Sosnovski

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

The Suffix Array is a classic text index enabling on-line pattern matching queries via simple binary search. The main drawback of the Suffix Array is that it takes linear space in the text's length, even if the text itself is extremely…

Data Structures and Algorithms · Computer Science 2025-03-19 Davide Cenzato , Lore Depuydt , Travis Gagie , Sung-Hwan Kim , Giovanni Manzini , Francisco Olivares , Nicola Prezza

Randomized algorithms are often enjoyed for their simplicity, but the hash functions employed to yield the desired probabilistic guarantees are often too complicated to be practical. Here we survey recent results on how simple hashing…

Data Structures and Algorithms · Computer Science 2017-01-04 Mikkel Thorup

Given a collection of strings, each with an associated probability of occurrence, the guesswork of each of them is their position in a list ordered from most likely to least likely, breaking ties arbitrarily. Guesswork is central to several…

Information Theory · Computer Science 2019-08-12 Ahmad Beirami , Robert Calderbank , Mark Christiansen , Ken Duffy , Muriel Médard

Many consensus string problems are based on Hamming distance. We replace Hamming distance by the more flexible (e.g., easily coping with different input string lengths) dynamic time warping distance, best known from applications in time…

Discrete Mathematics · Computer Science 2020-02-05 Nathan Schaar , Vincent Froese , Rolf Niedermeier

Log parsing is a fundamental step for automated log analysis, which transforms raw log messages into structured formats. Existing syntax-based parsers struggle with complex logs because they lack semantic reasoning ability. Emerging…

Software Engineering · Computer Science 2026-05-26 Shiwen Shan , Yintong Huo , Minxing Wang , Zhiying Wu , Yuxin Su , Zibin Zheng

We propose fast probabilistic algorithms with low (i.e., sublinear in the input size) communication volume to check the correctness of operations in Big Data processing frameworks and distributed databases. Our checkers cover many of the…

Data Structures and Algorithms · Computer Science 2018-02-23 Lorenz Hübschle-Schneider , Peter Sanders

Tries are popular data structures for storing a set of strings, where common prefixes are represented by common root-to-node paths. Over fifty years of usage have produced many variants and implementations to overcome some of their…

Data Structures and Algorithms · Computer Science 2011-12-06 Roberto Grossi , Giuseppe Ottaviano

$\mathbf F_2$-linear pseudorandom number generators are very popular due to their high speed, to the ease with which generators with a sizable state space can be created, and to their provable theoretical properties. However, they suffer…

Data Structures and Algorithms · Computer Science 2022-03-29 David Blackman , Sebastiano Vigna

The XCRUSH family of non-Feistel, ARX block ciphers is designed to make efficient use of modern 64-bit general-purpose processors using a small number of encryption rounds which are simple to implement in software. The avalanche function,…

Cryptography and Security · Computer Science 2016-10-26 Evan Saulpaugh

The field of Automatic Machine Learning (AutoML) has recently attained impressive results, including the discovery of state-of-the-art machine learning solutions, such as neural image classifiers. This is often done by applying an…