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Sketching algorithms have recently proven to be a powerful approach both for designing low-space streaming algorithms as well as fast polynomial time approximation schemes (PTAS). In this work, we develop new techniques to extend the…

数据结构与算法 · 计算机科学 2023-10-31 Gregory Dexter , Petros Drineas , David P. Woodruff , Taisuke Yasuda

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

Many real-world matrix datasets arrive as high-throughput vector streams, making it impractical to store or process them in their entirety. To enable real-time analytics under limited computational, memory, and communication resources,…

数据库 · 计算机科学 2026-01-12 Hanyan Yin , Dongxie Wen , Jiajun Li , Zhewei Wei , Xiao Zhang , Peng Zhao , Zhi-Hua Zhou

Estimating the frequency of items on the high-volume, fast data stream has been extensively studied in many areas, such as database and network measurement. Traditional sketches provide only coarse estimates under strict memory constraints.…

机器学习 · 计算机科学 2026-03-26 Xinyu Yuan , Yan Qiao , Meng Li , Zhenchun Wei , Cuiying Feng , Zonghui Wang , Wenzhi Chen

Elastic-Sketch is a hash-based data structure for counting item's appearances in a data stream, and it has been empirically shown to achieve a better memory-accuracy trade-off compared to classical methods. This algorithm combines a heavy…

数据结构与算法 · 计算机科学 2026-03-27 Younes Ben Mazziane , Vinay Kumar B. R. , Othmane Marfoq

We present a Las Vegas algorithm for dynamically maintaining a minimum spanning forest of an $n$-node graph undergoing edge insertions and deletions. Our algorithm guarantees an $O(n^{o(1)})$ worst-case update time with high probability.…

数据结构与算法 · 计算机科学 2017-08-16 Danupon Nanongkai , Thatchaphol Saranurak , Christian Wulff-Nilsen

We initiate the study of sub-linear sketching and streaming techniques for estimating the output size of common dictionary compressors such as Lempel-Ziv '77, the run-length Burrows-Wheeler transform, and grammar compression. To this end,…

数据结构与算法 · 计算机科学 2024-08-20 Ruben Becker , Matteo Canton , Davide Cenzato , Sung-Hwan Kim , Bojana Kodric , Nicola Prezza

While in many graph mining applications it is crucial to handle a stream of updates efficiently in terms of {\em both} time and space, not much was known about achieving such type of algorithm. In this paper we study this issue for a…

数据结构与算法 · 计算机科学 2015-09-23 Sayan Bhattacharya , Monika Henzinger , Danupon Nanongkai , Charalampos E. Tsourakakis

Sketches are a family of streaming algorithms widely used in the world of big data to perform fast, real-time analytics. A popular sketch type is Quantiles, which estimates the data distribution of a large input stream. We present…

数据结构与算法 · 计算机科学 2022-08-22 Shaked Elias-Zada , Arik Rinberg , Idit Keidar

We present two algorithms for dynamically maintaining a spanning forest of a graph undergoing edge insertions and deletions. Our algorithms guarantee {\em worst-case update time} and work against an adaptive adversary, meaning that an edge…

数据结构与算法 · 计算机科学 2017-04-19 Danupon Nanongkai , Thatchaphol Saranurak

Maximum coverage and minimum set cover problems --collectively called coverage problems-- have been studied extensively in streaming models. However, previous research not only achieve sub-optimal approximation factors and space…

数据结构与算法 · 计算机科学 2017-03-13 Mohammadhossein Bateni , Hossein Esfandiari , Vahab Mirrokni

We consider dynamic algorithms for maintaining Single-Source Reachability (SSR) and approximate Single-Source Shortest Paths (SSSP) on $n$-node $m$-edge directed graphs under edge deletions (decremental algorithms). The previous fastest…

数据结构与算法 · 计算机科学 2018-03-02 Monika Henzinger , Sebastian Krinninger , Danupon Nanongkai

We study fully dynamic algorithms for maximum matching. This is a well-studied problem, known to admit several update-time/approximation trade-offs. For instance, it is known how to maintain a 1/2-approximate matching in $\log^{O(1)} n$…

数据结构与算法 · 计算机科学 2022-11-15 Soheil Behnezhad

We study the problem of solving semidefinite programs (SDP) in the streaming model. Specifically, $m$ constraint matrices and a target matrix $C$, all of size $n\times n$ together with a vector $b\in \mathbb{R}^m$ are streamed to us…

数据结构与算法 · 计算机科学 2023-09-12 Zhao Song , Mingquan Ye , Lichen Zhang

We initiate a broad study of classical problems in the streaming model with insertions and deletions in the setting where we allow the approximation factor $\alpha$ to be much larger than $1$. Such algorithms can use significantly less…

数据结构与算法 · 计算机科学 2022-07-19 Yi Li , Honghao Lin , David P. Woodruff , Yuheng Zhang

Graph sketching has emerged as a powerful technique for processing massive graphs that change over time (i.e., are presented as a dynamic stream of edge updates) over the past few years, starting with the work of Ahn, Guha and McGregor…

数据结构与算法 · 计算机科学 2019-03-29 Michael Kapralov , Aida Mousavifar , Cameron Musco , Christopher Musco , Navid Nouri

Space-efficient streaming estimation of quantiles in massive datasets is a fundamental problem with numerous applications in data monitoring and analysis. While theoretical research led to optimal algorithms, such as the Greenwald-Khanna…

数据结构与算法 · 计算机科学 2025-09-12 Aleksander Łukasiewicz , Jakub Tětek , Pavel Veselý

This paper considers fully dynamic graph algorithms with both faster worst case update time and sublinear space. The fully dynamic graph connectivity problem is the following: given a graph on a fixed set of n nodes, process an online…

数据结构与算法 · 计算机科学 2015-09-23 David Gibb , Bruce Kapron , Valerie King , Nolan Thorn

Recently [Bhattacharya et al., STOC 2015] provide the first non-trivial algorithm for the densest subgraph problem in the streaming model with additions and deletions to its edges, i.e., for dynamic graph streams. They present a…

数据结构与算法 · 计算机科学 2015-07-30 Hossein Esfandiari , MohammadTaghi Hajiaghayi , David P. Woodruff

A key need in different disciplines is to perform analytics over fast-paced data streams, similar in nature to the traditional OLAP analytics in relational databases i.e., with filters and aggregates. Storing unbounded streams, however, is…

数据库 · 计算机科学 2023-09-13 Wieger R. Punter , Odysseas Papapetrou , Minos Garofalakis