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We initiate the study of the Interval Selection problem in the (streaming) sliding window model of computation. In this problem, an algorithm receives a potentially infinite stream of intervals on the line, and the objective is to maintain…

数据结构与算法 · 计算机科学 2024-11-13 Cezar-Mihail Alexandru , Christian Konrad

This paper presents an evolutionary algorithm for modeling the arrival dates of document streams, which is any time-stamped collection of documents, such as newscasts, e-mails, IRC conversations, scientific journals archives and weblog…

信息检索 · 计算机科学 2007-05-23 Lourdes Araujo , Juan J. Merelo

Diffusion is a fundamental graph procedure and has been a basic building block in a wide range of theoretical and empirical applications such as graph partitioning and semi-supervised learning on graphs. In this paper, we study…

数据结构与算法 · 计算机科学 2021-06-07 Li Chen , Richard Peng , Di Wang

Approximating the length of the longest increasing sequence (LIS) of an array is a well-studied problem. We study this problem in the data stream model, where the algorithm is allowed to make a single left-to-right pass through the array…

数据结构与算法 · 计算机科学 2013-04-16 Michael Saks , C. Seshadhri

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…

数据库 · 计算机科学 2016-03-09 Gianmarco De Francisci Morales , Aristides Gionis

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…

数据结构与算法 · 计算机科学 2022-03-29 Hendrik Fichtenberger , Pan Peng

In this paper we give an algorithm for streaming $k$-edit approximate pattern matching which uses space $\widetilde{O}(k^2)$ and time $\widetilde{O}(k^2)$ per arriving symbol. This improves substantially on the recent algorithm of…

数据结构与算法 · 计算机科学 2023-05-02 Sudatta Bhattacharya , Michal Koucký

We show an improved lower bound for the Fp estimation problem in a data stream setting for p>2. A data stream is a sequence of items from the domain [n] with possible repetitions. The frequency vector x is an n-dimensional non-negative…

数据结构与算法 · 计算机科学 2015-03-19 Sumit Ganguly

We study the maximum matching problem in the random-order semi-streaming setting. In this problem, the edges of an arbitrary $n$-vertex graph $G=(V, E)$ arrive in a stream one by one and in a random order. The goal is to have a single pass…

数据结构与算法 · 计算机科学 2021-03-02 Sepehr Assadi , Soheil Behnezhad

In the (fully) dynamic set cover problem, we have a collection of $m$ sets from a universe of size $n$ that undergo element insertions and deletions; the goal is to maintain an approximate set cover of the universe after each update. We…

数据结构与算法 · 计算机科学 2021-05-17 Sepehr Assadi , Shay Solomon

We adapt a well known streaming algorithm for approximating item frequencies to the matrix sketching setting. The algorithm receives the rows of a large matrix $A \in \R^{n \times m}$ one after the other in a streaming fashion. It maintains…

数据结构与算法 · 计算机科学 2012-07-12 Edo Liberty

We present dynamic algorithms with polylogarithmic update time for estimating the size of the maximum matching of a graph undergoing edge insertions and deletions with approximation ratio strictly better than $2$. Specifically, we obtain a…

数据结构与算法 · 计算机科学 2023-04-28 Sayan Bhattacharya , Peter Kiss , Thatchaphol Saranurak , David Wajc

We study learning-augmented streaming algorithms for estimating the value of MAX-CUT in a graph. In the classical streaming model, while a $1/2$-approximation for estimating the value of MAX-CUT can be trivially achieved with $O(1)$ words…

数据结构与算法 · 计算机科学 2025-01-07 Yinhao Dong , Pan Peng , Ali Vakilian

We revisit the MaxSAT problem in the data stream model. In this problem, the stream consists of $m$ clauses that are disjunctions of literals drawn from $n$ Boolean variables. The objective is to find an assignment to the variables that…

数据结构与算法 · 计算机科学 2022-08-22 Hoa T. Vu

The majority of streaming problems are defined and analyzed in a static setting, where the data stream is any worst-case sequence of insertions and deletions that is fixed in advance. However, many real-world applications require a more…

数据结构与算法 · 计算机科学 2024-09-25 Elena Gribelyuk , Honghao Lin , David P. Woodruff , Huacheng Yu , Samson Zhou

Many problems on data streams have been studied at two extremes of difficulty: either allowing randomized algorithms, in the static setting (where they should err with bounded probability on the worst case stream); or when only…

数据结构与算法 · 计算机科学 2022-11-11 Manuel Stoeckl

Given a finite set of points $P \subseteq \mathbb{R}^d$, we would like to find a small subset $S \subseteq P$ such that the convex hull of $S$ approximately contains $P$. More formally, every point in $P$ is within distance $\epsilon$ from…

计算几何 · 计算机科学 2017-12-15 Avrim Blum , Vladimir Braverman , Ananya Kumar , Harry Lang , Lin F. Yang

We present an algorithm for the maximum matching problem in dynamic (insertion-deletions) streams with *asymptotically optimal* space complexity: for any $n$-vertex graph, our algorithm with high probability outputs an $\alpha$-approximate…

数据结构与算法 · 计算机科学 2022-02-01 Sepehr Assadi , Vihan Shah

The missing item problem, as introduced by Stoeckl in his work at SODA 23, focuses on continually identifying a missing element $e$ in a stream of elements ${e_1, ..., e_{\ell}}$ from the set $\{1,2,...,n\}$, such that $e \neq e_i$ for any…

数据结构与算法 · 计算机科学 2024-01-23 Roey Magen

We consider the problem of estimating the value of max cut in a graph in the streaming model of computation. At one extreme, there is a trivial $2$-approximation for this problem that uses only $O(\log n)$ space, namely, count the number of…

数据结构与算法 · 计算机科学 2014-09-09 Michael Kapralov , Sanjeev Khanna , Madhu Sudan