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We present the stream processing library that achieves the highest performance of existing OCaml streaming libraries, attaining the speed and memory efficiency of hand-written state machines. It supports finite and infinite streams with the…

Programming Languages · Computer Science 2022-11-28 Oleg Kiselyov , Tomoaki Kobayashi , Aggelos Biboudis , Nick Palladinos

In this paper we show that the $\mathbb Z/p^{m}\mathbb Z$-module structure of the ring $E_p^{(m)}$ is isomorphic to a $\mathbb Z/p^{m}\mathbb Z$-submodule of the matrix ring over $\mathbb Z/p^{m}\mathbb Z$. Using this intrinsic structure of…

Cryptography and Security · Computer Science 2019-12-17 Karan Khathuria , Giacomo Micheli , Violetta Weger

We study the general problem of computing frequency-based functions, i.e., the sum of any given function of data stream frequencies. Special cases include fundamental data stream problems such as computing the number of distinct elements…

Data Structures and Algorithms · Computer Science 2020-10-08 Prantar Ghosh

We present the first streaming algorithm for counting an arbitrary hypergraph $H$ of constant size in a massive hypergraph $G$. Our algorithm can handle both edge-insertions and edge-deletions, and is applicable for the distributed setting.…

Data Structures and Algorithms · Computer Science 2013-04-30 He Sun

Rapid technological advances are inherently linked to the increased amount of data, a substantial portion of which can be interpreted as data stream, capable of exhibiting the phenomenon of concept drift and having a high imbalance ratio.…

Machine Learning · Computer Science 2024-04-25 Paweł Zyblewski

Partitioning an input graph over a set of workers is a complex operation. Objectives are twofold: split the work evenly, so that every worker gets an equal share, and minimize edge cut to achieve a good work locality (i.e. workers can work…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-28 Le Merrer Erwan , Liang Yizhong , Trédan Gilles

Kernelization is a formalization of preprocessing for combinatorially hard problems. We modify the standard definition for kernelization, which allows any polynomial-time algorithm for the preprocessing, by requiring instead that the…

Data Structures and Algorithms · Computer Science 2014-05-07 Stefan Fafianie , Stefan Kratsch

We describe a straightforward method to generate a random prime q such that the multiplicative group GF(q)* also has a random large prime-order subgroup. The described algorithm also yields this order p as well as a p'th primitive root of…

Computational Complexity · Computer Science 2022-05-02 Pascal Giorgi , Bruno Grenet , Armelle Perret du Cray , Daniel S. Roche

In the semi-streaming model, an algorithm receives a stream of edges of a graph in arbitrary order and uses a memory of size $O(n \mbox{ polylog } n)$, where $n$ is the number of vertices of a graph. In this work, we present semi-streaming…

Data Structures and Algorithms · Computer Science 2014-04-11 Christian Konrad , Frédéric Magniez , Claire Mathieu

We present a novel approach for the problem of frequency estimation in data streams that is based on optimization and machine learning. Contrary to state-of-the-art streaming frequency estimation algorithms, which heavily rely on random…

Data Structures and Algorithms · Computer Science 2022-07-19 Dimitris Bertsimas , Vassilis Digalakis

We present the first semi-streaming algorithms to determine k-connectivity of an undirected graph with k being any constant. The semi-streaming model for graph algorithms was introduced by Muthukrishnan in 2003 and turns out to be useful…

Discrete Mathematics · Computer Science 2007-05-23 Mariano Zelke

We present a simple adaptation of the Lempel Ziv 78' (LZ78) compression scheme ({\em IEEE Transactions on Information Theory, 1978}) that supports efficient random access to the input string. Namely, given query access to the compressed…

Data Structures and Algorithms · Computer Science 2013-01-14 Akashnil Dutta , Reut Levi , Dana Ron , Ronitt Rubinfeld

This paper deals with the merger of the two lightweight stream ciphers: A5by1 and Trivium. The idea is to make the key stream generation more secure and to remove the attacks of the individual algorithms. The bits generated by the Trivium…

Cryptography and Security · Computer Science 2018-06-22 Krishnendu Rarhi , Rhea Bonnerji , Simanta Sarkar , Abhishek Bhattacharya

Permutation patterns and pattern avoidance are central, well-studied concepts in combinatorics and computer science. Given two permutations $\tau$ and $\pi$, the pattern matching problem (PPM) asks whether $\tau$ contains $\pi$. This…

Data Structures and Algorithms · Computer Science 2025-07-21 Benjamin Aram Berendsohn

We study the problem of extracting a small subset of representative items from a large data stream. In many data mining and machine learning applications such as social network analysis and recommender systems, this problem can be…

Data Structures and Algorithms · Computer Science 2021-02-15 Yanhao Wang , Francesco Fabbri , Michael Mathioudakis

We consider the problem of maximizing a nonnegative submodular set function $f:2^{\mathcal{N}} \rightarrow \mathbb{R}^+$ subject to a $p$-matchoid constraint in the single-pass streaming setting. Previous work in this context has considered…

Data Structures and Algorithms · Computer Science 2015-05-01 Chandra Chekuri , Shalmoli Gupta , Kent Quanrud

In the distributed monitoring model, a data stream over a universe of size $n$ is distributed over $k$ servers, who must continuously provide certain statistics of the overall dataset, while minimizing communication with a central…

Data Structures and Algorithms · Computer Science 2025-10-28 Honghao Lin , Zhao Song , David P. Woodruff , Shenghao Xie , Samson Zhou

Let $\mathcal{A}$ be an abelian variety over a number field, with a good reduction at a prime ideal containing a prime number $p$. Denote by ${\rm A}$ an abelian variety over a finite field of characteristic $p$, obtained by the reduction…

Algebraic Geometry · Mathematics 2018-10-02 Artyom Smirnov , Alexey Zaytsev

Weak pseudorandom functions (wPRFs) found an important application as main building blocks for leakage-resilient ciphers (EUROCRYPT'09). Several security bounds, based on different techniques, were given to these stream ciphers. The…

Cryptography and Security · Computer Science 2015-05-27 Maciej Skorski

Images and video sequences carry large volumes of highly correlated and redundant data. Applications like military and telecommunication require encryption methods to protect the data from unwanted access. This requirement in most cases…

Cryptography and Security · Computer Science 2020-06-04 Chinmaya Patnayak , Pradipta Roy , Bibekanand Patnaik