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We study the fundamental problem of approximating the edit distance of two strings. After an extensive line of research led to the development of a constant-factor approximation algorithm in almost-linear time, recent years have witnessed a…

Data Structures and Algorithms · Computer Science 2023-12-05 Karl Bringmann , Alejandro Cassis , Nick Fischer , Tomasz Kociumaka

We develop a streaming (one-pass, bounded-memory) word embedding algorithm based on the canonical skip-gram with negative sampling algorithm implemented in word2vec. We compare our streaming algorithm to word2vec empirically by measuring…

Computation and Language · Computer Science 2017-04-26 Chandler May , Kevin Duh , Benjamin Van Durme , Ashwin Lall

Consider the continuous distributed monitoring model in which $n$ distributed nodes, receiving individual data streams, are connected to a designated server. The server is asked to continuously monitor a function defined over the values…

Data Structures and Algorithms · Computer Science 2016-10-28 Alexander Mäcker , Manuel Malatyali , Friedhelm Meyer auf der Heide

Estimating the number of subgraphs in data streams is a fundamental problem that has received great attention in the past decade. In this paper, we give improved streaming algorithms for approximately counting the number of occurrences of…

Data Structures and Algorithms · Computer Science 2022-03-29 Hendrik Fichtenberger , Pan Peng

We initiate the investigation of the parameterized complexity of Diameter and Connectivity in the streaming paradigm. On the positive end, we show that knowing a vertex cover of size $k$ allows for algorithms in the Adjacency List (AL)…

Data Structures and Algorithms · Computer Science 2024-07-19 Jelle J. Oostveen , Erik Jan van Leeuwen

In this paper, we study the problem of finding a maximum matching in the semi-streaming model when edges arrive in a random order. In the semi-streaming model, an algorithm receives a stream of edges and it is allowed to have a memory of…

Data Structures and Algorithms · Computer Science 2019-12-24 Alireza Farhadi , MohammadTaghi Hajiaghayi , Tung Mai , Anup Rao , Ryan A. Rossi

We consider the problem of maximizing a non-negative submodular function under the $b$-matching constraint, in the semi-streaming model. When the function is linear, monotone, and non-monotone, we obtain the approximation ratios of…

Data Structures and Algorithms · Computer Science 2022-01-11 Chien-Chung Huang , François Sellier

The $d$-dimensional pattern matching problem is to find an occurrence of a pattern of length $m \times \dots \times m$ within a text of length $n \times \dots \times n$, with $n \ge m$. This task models various problems in text and image…

Quantum Physics · Physics 2015-08-27 Ashley Montanaro

In this paper, we study the non-bipartite maximum matching problem in the semi-streaming model. The maximum matching problem in the semi-streaming model has received a significant amount of attention lately. While the problem has been…

Data Structures and Algorithms · Computer Science 2015-03-19 Kook Jin Ahn , Sudipto Guha

This study develops an algorithm to solve a variation of the Shortest Common Superstring (SCS) problem. There are two modifications to the base SCS problem. First, one string in the set S is allowed to have up to K mistakes, defined as not…

Data Structures and Algorithms · Computer Science 2024-11-05 Arthur Gilfanov

We study streaming algorithms for Correlation Clustering. Given a graph as an arbitrary-order stream of edges, with each edge labeled as positive or negative, the goal is to partition the vertices into disjoint clusters, such that the…

Data Structures and Algorithms · Computer Science 2025-10-14 Yinhao Dong , Shan Jiang , Shi Li , Pan Peng

We introduce and study the problem of computing the similarity self-join in a streaming context (SSSJ), where the input is an unbounded stream of items arriving continuously. The goal is to find all pairs of items in the stream whose…

Databases · Computer Science 2016-03-09 Gianmarco De Francisci Morales , Aristides Gionis

The challenge of estimating similarity between sets has been a significant concern in data science, finding diverse applications across various domains. However, previous approaches, such as MinHash, have predominantly centered around…

Data Structures and Algorithms · Computer Science 2024-05-31 Fenghao Dong , Yang He , Yutong Liang , Zirui Liu , Yuhan Wu , Peiqing Chen , Tong Yang

Recently, considerable research attention has been paid to network embedding, a popular approach to construct feature vectors of vertices. Due to the curse of dimensionality and sparsity in graphical datasets, this approach has become…

Machine Learning · Computer Science 2018-11-15 Xi Liu , Ping-Chun Hsieh , Nick Duffield , Rui Chen , Muhe Xie , Xidao Wen

Given a labeled graph, the frequent-subgraph mining (FSM) problem asks to find all the $k$-vertex subgraphs that appear with frequency greater than a given threshold. FSM has numerous applications ranging from biology to network science, as…

Data Structures and Algorithms · Computer Science 2018-09-11 Cigdem Aslay , Muhammad Anis Uddin Nasir , Gianmarco De Francisci Morales , Aristides Gionis

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

Computing the matching statistics of patterns with respect to a text is a fundamental task in bioinformatics, but a formidable one when the text is a highly compressed genomic database. Bannai et al. gave an efficient solution for this…

Data Structures and Algorithms · Computer Science 2021-02-12 Christina Boucher , Travis Gagie , Tomohiro I , Dominik Köppl , Ben Langmead , Giovanni Manzini , Gonzalo Navarro , Alejandro Pacheco , Massimiliano Rossi

We study the classic set cover problem in the streaming model: the sets that comprise the instance are revealed one by one in a stream and the goal is to solve the problem by making one or few passes over the stream while maintaining a…

Data Structures and Algorithms · Computer Science 2017-03-07 Sepehr Assadi

We resolve the space complexity of linear sketches for approximating the maximum matching problem in dynamic graph streams where the stream may include both edge insertion and deletion. Specifically, we show that for any $\epsilon > 0$,…

Data Structures and Algorithms · Computer Science 2015-05-07 Sepehr Assadi , Sanjeev Khanna , Yang Li , Grigory Yaroslavtsev

While the basic greedy algorithm gives a semi-streaming algorithm with an approximation guarantee of $2$ for the \emph{unweighted} matching problem, it was only recently that Paz and Schwartzman obtained an analogous result for weighted…

Data Structures and Algorithms · Computer Science 2021-02-09 Paritosh Garg , Linus Jordan , Ola Svensson