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Count-Min Sketch with Conservative Updates (CMS-CU) is a memory-efficient hash-based data structure used to estimate the occurrences of items within a data stream. CMS-CU stores $m$ counters and employs $d$ hash functions to map items to…

数据结构与算法 · 计算机科学 2024-05-22 Younes Ben Mazziane , Othmane Marfoq

Count-Min sketch is a hash-based data structure to represent a dynamically changing associative array of counters. Here we analyse the counting version of Count-Min under a stronger update rule known as \textit{conservative update},…

数据结构与算法 · 计算机科学 2023-09-08 Éric Fusy , Gregory Kucherov

\begin{abstract} The frequencies of the elements in a data stream are an important statistical measure and the task of estimating them arises in many applications within data analysis and machine learning. Two of the most popular algorithms…

数据结构与算法 · 计算机科学 2020-08-12 Anders Aamand , Piotr Indyk , Ali Vakilian

The Count-Min sketch is an important and well-studied data summarization method. It allows one to estimate the count of any item in a stream using a small, fixed size data sketch. However, the accuracy of the sketch depends on…

数据结构与算法 · 计算机科学 2018-11-13 Daniel Ting

Demands are increasing to measure per-flow statistics in the data plane of high-speed switches. Measuring flows with exact counting is infeasible due to processing and memory constraints, but a sketch is a promising candidate for collecting…

网络与互联网体系结构 · 计算机科学 2021-11-05 SunYoung Kim , Changhun Jung , RhongHo Jang , David Mohaisen , DaeHun Nyang

Count-Min Sketch with Conservative Updates (CMS-CU) is a popular algorithm to approximately count items' appearances in a data stream. Despite CMS-CU's widespread adoption, the theoretical analysis of its performance is still wanting…

离散数学 · 计算机科学 2022-03-29 Younes Ben Mazziane , Sara Alouf , Giovanni Neglia

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

A flexible conformal inference method is developed to construct confidence intervals for the frequencies of queried objects in very large data sets, based on a much smaller sketch of those data. The approach is data-adaptive and requires no…

统计方法学 · 统计学 2022-11-10 Matteo Sesia , Stefano Favaro

Count-Min Sketch is a widely adopted algorithm for approximate event counting in large scale processing. However, the original version of the Count-Min-Sketch (CMS) suffers of some deficiences, especially if one is interested by the…

信息检索 · 计算机科学 2015-02-18 Guillaume Pitel , Geoffroy Fouquier

This paper develops conformal inference methods to construct a confidence interval for the frequency of a queried object in a very large discrete data set, based on a sketch with a lower memory footprint. This approach requires no knowledge…

统计方法学 · 统计学 2023-08-17 Matteo Sesia , Stefano Favaro , Edgar Dobriban

The count-min sketch (CMS) is a randomized data structure that provides estimates of tokens' frequencies in a large data stream using a compressed representation of the data by random hashing. In this paper, we rely on a recent Bayesian…

机器学习 · 统计学 2021-02-12 Emanuele Dolera , Stefano Favaro , Stefano Peluchetti

In rapid and massive data streams, it is often not possible to estimate the frequency of items with complete accuracy. To perform the operation in a reasonable amount of space and with sufficiently low latency, approximated methods are…

数据库 · 计算机科学 2019-04-18 Arijit Khan , Sixing Yan

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

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

Frequency estimation data structures such as the count-min sketch (CMS) have found numerous applications in databases, networking, computational biology and other domains. Many applications that use the count-min sketch process massive and…

数据结构与算法 · 计算机科学 2018-05-01 Mayank Goswami , Dzejla Medjedovic , Emina Mekic , Prashant Pandey

Sketching is a probabilistic data compression technique that has been largely developed in the computer science community. Numerical operations on big datasets can be intolerably slow; sketching algorithms address this issue by generating a…

统计方法学 · 统计学 2019-04-04 Daniel Ahfock , William J. Astle , Sylvia Richardson

In this paper, we revisit the classic CountSketch method, which is a sparse, random projection that transforms a (high-dimensional) Euclidean vector $v$ to a vector of dimension $(2t-1) s$, where $t, s > 0$ are integer parameters. It is…

数据结构与算法 · 计算机科学 2021-02-04 Kasper Green Larsen , Rasmus Pagh , Jakub Tětek

Modern data stream applications demand memory-efficient solutions for accurately tracking frequent items, such as heavy hitters and heavy changers, under strict resource constraints. Traditional sketches face inherent accuracy-memory…

数据库 · 计算机科学 2025-05-20 Zicang Xu , Yuxuan Tian , Yuhan Wu , Tong Yang

Count-sketch is a popular matrix sketching algorithm that can produce a sketch of an input data matrix X in O(nnz(X))time where nnz(X) denotes the number of non-zero entries in X. The sketched matrix will be much smaller than X while…

机器学习 · 计算机科学 2020-11-30 Yuhan Wang , Zijian Lei , Liang Lan

CountSketch and Feature Hashing (the "hashing trick") are popular randomized dimensionality reduction methods that support recovery of $\ell_2$-heavy hitters (keys $i$ where $v_i^2 > \epsilon \|\boldsymbol{v}\|_2^2$) and approximate inner…

数据结构与算法 · 计算机科学 2022-08-30 Edith Cohen , Jelani Nelson , Tamás Sarlós , Uri Stemmer
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