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Frequency estimation is one of the most fundamental problems in streaming algorithms. Given a stream $S$ of elements from some universe $U=\{1 \ldots n\}$, the goal is to compute, in a single pass, a short sketch of $S$ so that for any…

数据结构与算法 · 计算机科学 2021-11-09 Piotr Indyk , Shyam Narayanan , David P. Woodruff

We study the general problem of computing frequency-based functions, i.e., the sum of any given function of data stream frequencies. Special cases include fundamental data stream problems such as computing the number of distinct elements…

数据结构与算法 · 计算机科学 2020-10-08 Prantar Ghosh

With the increasing rate of data generated by critical systems, estimating functions on streaming data has become essential. This demand has driven numerous advancements in algorithms designed to efficiently query and analyze one or more…

数据库 · 计算机科学 2024-05-16 Mike Heddes , Igor Nunes , Tony Givargis , Alex Nicolau

A central problem in the theory of algorithms for data streams is to determine which functions on a stream can be approximated in sublinear, and especially sub-polynomial or poly-logarithmic, space. Given a function $g$, we study the space…

数据结构与算法 · 计算机科学 2016-01-28 Vladimir Braverman , Stephen R. Chestnut , David P. Woodruff , Lin F. Yang

In data stream applications, one of the critical issues is to estimate the frequency of each item in the specific multiset. The multiset means that each item in this set can appear multiple times. The data streams in many applications are…

数据结构与算法 · 计算机科学 2020-01-07 Ning Li

The problem of estimating frequency moments of a data stream has attracted a lot of attention since the onset of streaming algorithms [AMS99]. While the space complexity for approximately computing the $p^{\rm th}$ moment, for $p\in(0,2]$…

数据结构与算法 · 计算机科学 2013-06-27 Alexandr Andoni , Huy L. Nguyen , Yury Polyanskiy , Yihong Wu

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

An influential paper of Hsu et al. (ICLR'19) introduced the study of learning-augmented streaming algorithms in the context of frequency estimation. A fundamental problem in the streaming literature, the goal of frequency estimation is to…

机器学习 · 计算机科学 2025-03-04 Anders Aamand , Justin Y. Chen , Siddharth Gollapudi , Sandeep Silwal , Hao Wu

Streaming analytics are essential in a large range of applications, including databases, networking, and machine learning. To optimize performance, practitioners are increasingly offloading such analytics to network nodes such as switches.…

网络与互联网体系结构 · 计算机科学 2025-03-19 Jonatan Langlet , Peiqing Chen , Michael Mitzenmacher , Ran Ben Basat , Zaoxing Liu , Gianni Antichi

We present a novel approach for the problem of frequency estimation in data streams that is based on optimization and machine learning. Contrary to state-of-the-art streaming frequency estimation algorithms, which heavily rely on random…

数据结构与算法 · 计算机科学 2022-07-19 Dimitris Bertsimas , Vassilis Digalakis

Frequency estimation in data streams is one of the classical problems in streaming algorithms. Following much research, there are now almost matching upper and lower bounds for the trade-off needed between the number of samples and the…

计算复杂性 · 计算机科学 2023-01-16 Shachar Lovett , Jiapeng Zhang

We present space-efficient linear sketches for estimating trimmed statistics of an $n$-dimensional frequency vector $x$, e.g., the sum of $p$-th powers of the largest $k$ frequencies (i.e., entries) in absolute value, or the $k$-trimmed…

数据结构与算法 · 计算机科学 2025-06-10 Honghao Lin , Hoai-An Nguyen , David P. Woodruff

Frequency estimation in streaming data often relies on sketches like Count-Min (CM) to provide approximate answers with sublinear space. However, CM sketches introduce additive errors that disproportionately impact low-frequency elements,…

数据结构与算法 · 计算机科学 2025-05-27 Nima Shahbazi , Stavros Sintos , Abolfazl Asudeh

Estimating frequencies of items over data streams is a common building block in streaming data measurement and analysis. Misra and Gries introduced their seminal algorithm for the problem in 1982, and the problem has since been revisited…

数据结构与算法 · 计算机科学 2017-05-23 Daniel Anderson , Pryce Bevan , Kevin Lang , Edo Liberty , Lee Rhodes , Justin Thaler

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

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

In this paper, we consider the problem of estimating the distance between any two large data streams in small- space constraint. This problem is of utmost importance in data intensive monitoring applications where input streams are…

数据结构与算法 · 计算机科学 2012-08-01 Emmanuelle Anceaume , Yann Busnel

Low-tubal-rank tensor approximation has been proposed to analyze large-scale and multi-dimensional data. However, finding such an accurate approximation is challenging in the streaming setting, due to the limited computational resources. To…

机器学习 · 计算机科学 2021-08-24 Qianxin Yi , Chenhao Wang , Kaidong Wang , Yao Wang

In this paper, we present a new algorithm for maintaining linear sketches in turnstile streams with faster update time. As an application, we show that $\log n$ \texttt{Count} sketches or \texttt{CountMin} sketches with a constant number of…

数据结构与算法 · 计算机科学 2019-11-05 Josh Alman , Huacheng Yu

We revisit one of the classic problems in the data stream literature, namely, that of estimating the frequency moments $F_p$ for $0 < p < 2$ of an underlying $n$-dimensional vector presented as a sequence of additive updates in a stream. It…

数据结构与算法 · 计算机科学 2018-03-07 Vladimir Braverman , Emanuele Viola , David Woodruff , Lin F. Yang
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