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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

We initiate a study of the streaming complexity of constraint satisfaction problems (CSPs) when the constraints arrive in a random order. We show that there exists a CSP, namely $\textsf{Max-DICUT}$, for which random ordering makes a…

数据结构与算法 · 计算机科学 2023-04-14 Raghuvansh R. Saxena , Noah Singer , Madhu Sudan , Santhoshini Velusamy

We characterize the streaming space complexity of every symmetric norm $l$ (a norm on $\mathbb{R}^n$ invariant under sign-flips and coordinate-permutations), by relating this space complexity to the measure-concentration characteristics of…

数据结构与算法 · 计算机科学 2017-06-27 Jaroslaw Blasiok , Vladimir Braverman , Stephen R. Chestnut , Robert Krauthgamer , Lin F. Yang

Frequency estimation of elements is an important task for summarizing data streams and machine learning applications. The problem is often addressed by using streaming algorithms with sublinear space data structures. These algorithms allow…

数据结构与算法 · 计算机科学 2022-04-05 Nikita Seleznev , Senthil Kumar , C. Bayan Bruss

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

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

The need for real time analysis of rapidly producing data streams (e.g., video and image streams) motivated the design of streaming algorithms that can efficiently extract and summarize useful information from massive data "on the fly".…

数据结构与算法 · 计算机科学 2017-12-27 Baharan Mirzasoleiman , Stefanie Jegelka , Andreas Krause

Grouping together similar elements in datasets is a common task in data mining and machine learning. In this paper, we study streaming algorithms for correlation clustering, where each pair of elements is labeled either similar or…

数据结构与算法 · 计算机科学 2025-03-05 Mélanie Cambus , Fabian Kuhn , Etna Lindy , Shreyas Pai , Jara Uitto

We present the first semi-streaming PTAS for the minimum feedback arc set problem on directed tournaments in a small number of passes. Namely, we obtain a $(1 + \varepsilon)$-approximation in polynomial time $O \left( \text{poly}(n)…

数据结构与算法 · 计算机科学 2021-09-15 Anubhav Baweja , Justin Jia , David P. Woodruff

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

The distinct elements problem is one of the fundamental problems in streaming algorithms --- given a stream of integers in the range $\{1,\ldots,n\}$, we wish to provide a $(1+\varepsilon)$ approximation to the number of distinct elements…

数据结构与算法 · 计算机科学 2019-01-07 Jarosław Błasiok

In a recent breakthrough, Paz and Schwartzman (SODA'17) presented a single-pass ($2+\epsilon$)-approximation algorithm for the maximum weight matching problem in the semi-streaming model. Their algorithm uses $O(n\log^2 n)$ bits of space,…

数据结构与算法 · 计算机科学 2019-01-01 Mohsen Ghaffari , David Wajc

We study the streaming complexity of $k$-counter approximate counting. In the $k$-counter approximate counting problem, we are given an input string in $[k]^n$, and we are required to approximate the number of each $j$'s ($j\in[k]$) in the…

数据结构与算法 · 计算机科学 2024-06-19 Yichuan Wang

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 give improved multi-pass streaming algorithms for the problem of maximizing a monotone or arbitrary non-negative submodular function subject to a general $p$-matchoid constraint in the model in which elements of the ground set arrive one…

数据结构与算法 · 计算机科学 2021-02-22 Chien-Chung Huang , Theophile Thiery , Justin Ward

The Hierarchical Clustering (HC) problem consists of building a hierarchy of clusters to represent a given dataset. Motivated by the modern large-scale applications, we study the problem in the \streaming model, in which the memory is…

数据结构与算法 · 计算机科学 2022-06-16 Sepehr Assadi , Vaggos Chatziafratis , Jakub Łącki , Vahab Mirrokni , Chen Wang

With the explosion of the size of digital dataset, the limiting factor for decomposition algorithms is the \emph{number of passes} over the input, as the input is often stored out-of-core or even off-site. Moreover, we're only interested in…

数值分析 · 计算机科学 2016-08-14 Radim Řeh{ů}řek

Adversarially robust streaming algorithms are required to process a stream of elements and produce correct outputs, even when each stream element can be chosen as a function of earlier algorithm outputs. As with classic streaming…

数据结构与算法 · 计算机科学 2024-07-04 Amit Chakrabarti , Manuel Stoeckl

A streaming algorithm to compute the spectral proper orthogonal decomposition (SPOD) of stationary random processes is presented. As new data becomes available, an incremental update of the truncated eigenbasis of the estimated…

流体动力学 · 物理学 2019-01-14 Oliver T. Schmidt , Aaron Towne

A semi-streaming algorithm in dynamic graph streams processes any $n$-vertex graph by making one or multiple passes over a stream of insertions and deletions to edges of the graph and using $O(n \cdot \mbox{polylog}(n))$ space.…

数据结构与算法 · 计算机科学 2024-07-31 Sepehr Assadi , Soheil Behnezhad , Christian Konrad , Kheeran K. Naidu , Janani Sundaresan