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Similarity search is the task of retrieving data items that are similar to a given query. In this paper, we introduce the time-sensitive notion of similarity search over endless data-streams (SSDS), which takes into account data quality and…

信息检索 · 计算机科学 2017-08-08 Naama Kraus , David Carmel , Idit Keidar

A technique introduced by Indyk and Woodruff [STOC 2005] has inspired several recent advances in data-stream algorithms. We show that a number of these results follow easily from the application of a single probabilistic method called…

数据结构与算法 · 计算机科学 2011-04-26 Alexandr Andoni , Robert Krauthgamer , Krzysztof Onak

We present TRI\`EST, a suite of one-pass streaming algorithms to compute unbiased, low-variance, high-quality approximations of the global and local (i.e., incident to each vertex) number of triangles in a fully-dynamic graph represented as…

数据结构与算法 · 计算机科学 2016-06-29 Lorenzo De Stefani , Alessandro Epasto , Matteo Riondato , Eli Upfal

We investigate one of the most basic problems in streaming algorithms: approximating the number of elements in the stream. In 1978, Morris famously gave a randomized algorithm achieving a constant-factor approximation error for streams of…

数据结构与算法 · 计算机科学 2024-10-08 Ofer Grossman , Meghal Gupta , Mark Sellke

We give the first optimal bounds for returning the $\ell_1$-heavy hitters in a data stream of insertions, together with their approximate frequencies, closing a long line of work on this problem. For a stream of $m$ items in $\{1, 2, \dots,…

数据结构与算法 · 计算机科学 2016-03-02 Arnab Bhattacharyya , Palash Dey , David P. Woodruff

System identification in modern engineering systems faces emerging challenges from unanticipated adversarial attacks beyond existing detection mechanisms. In this work, we obtain a provably accurate estimate of the Markov parameter matrix…

最优化与控制 · 数学 2025-09-22 Jihun Kim , Javad Lavaei

Many well-known, real-world problems involve dynamic data which describe the relationship among the entities. Hypergraphs are powerful combinatorial structures that are frequently used to model such data. For many of today's data-centric…

数据结构与算法 · 计算机科学 2021-03-10 Fatih Taşyaran , Berkay Demireller , Kamer Kaya , Bora Uçar

We consider the \textsf{Unit Interval Selection} problem in the one-pass random order streaming model. Here, an algorithm is presented a sequence of $n$ unit-length intervals on the line that arrive in uniform random order, and the…

数据结构与算法 · 计算机科学 2026-03-11 Cezar-Mihail Alexandru , Adithya Diddapur , Magnús M. Halldórsson , Christian Konrad , Kheeran K. Naidu

The abundance of observed data in recent years has increased the number of statistical augmentations to complex models across science and engineering. By augmentation we mean coherent statistical methods that incorporate measurements upon…

数据分析、统计与概率 · 物理学 2023-07-12 Connor Duffin , Paul Branson , Matt Rayson , Mark Girolami , Edward Cripps , Thomas Stemler

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…

数据结构与算法 · 计算机科学 2019-12-24 Alireza Farhadi , MohammadTaghi Hajiaghayi , Tung Mai , Anup Rao , Ryan A. 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…

数据结构与算法 · 计算机科学 2017-03-07 Sepehr Assadi

In many problems in data mining and machine learning, data items that need to be clustered or classified are not points in a high-dimensional space, but are distributions (points on a high dimensional simplex). For distributions, natural…

数据结构与算法 · 计算机科学 2007-07-13 Sudipto Guha , Andrew McGregor , Suresh Venkatasubramanian

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

Consider a storage area where arriving items are stored temporarily in bounded capacity stacks until their departure. We look into the problem of deciding where to put an arriving item with the objective of minimizing the maximum number of…

数据结构与算法 · 计算机科学 2020-06-11 Martin Olsen , Allan Gross

We consider the classic Set Cover problem in the data stream model. For $n$ elements and $m$ sets ($m\geq n$) we give a $O(1/\delta)$-pass algorithm with a strongly sub-linear $\tilde{O}(mn^{\delta})$ space and logarithmic approximation…

数据结构与算法 · 计算机科学 2016-05-03 Sariel Har-Peled , Piotr Indyk , Sepideh Mahabadi , Ali Vakilian

In our digital universe nowadays, enormous amount of data are produced in a streaming manner in a variety of application areas. These data are often unlabelled. In this case, identifying infrequent events, such as anomalies, poses a great…

机器学习 · 计算机科学 2023-09-07 Jin Li , Kleanthis Malialis , Marios M. Polycarpou

The multiplayer promise set disjointness is one of the most widely used problems from communication complexity in applications. In this problem there are $k$ players with subsets $S^1, \ldots, S^k$, each drawn from $\{1, 2, \ldots, n\}$,…

数据结构与算法 · 计算机科学 2021-05-25 Akshay Kamath , Eric Price , David P. Woodruff

In the online sorting problem, $n$ items are revealed one by one and have to be placed (immediately and irrevocably) into empty cells of a size-$n$ array. The goal is to minimize the sum of absolute differences between items in consecutive…

数据结构与算法 · 计算机科学 2024-06-28 Mikkel Abrahamsen , Ioana O. Bercea , Lorenzo Beretta , Jonas Klausen , László Kozma

Wave propagation problems have many applications in physics and engineering, and the stochastic effects are important in accurately modeling them due to the uncertainty of the media. This paper considers and analyzes a fully discrete finite…

数值分析 · 数学 2021-06-30 Yukun Li , Shuonan Wu , Yulong Xing

We introduce a new computational model for data streams: asymptotically exact streaming algorithms. These algorithms have an approximation ratio that tends to one as the length of the stream goes to infinity while the memory used by the…

数据结构与算法 · 计算机科学 2014-08-11 Marc Heinrich , Alexander Munteanu , Christian Sohler