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Conservative Count-Min, an improved version of Count-Min sketch [Cormode, Muthukrishnan 2005], is an online-maintained hashing-based data structure summarizing element frequency information without storing elements themselves. Although…

Data Structures and Algorithms · Computer Science 2023-09-08 Éric Fusy , Gregory Kucherov

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…

Data Structures and Algorithms · Computer Science 2024-05-22 Younes Ben Mazziane , Othmane Marfoq

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…

Networking and Internet Architecture · Computer Science 2021-11-05 SunYoung Kim , Changhun Jung , RhongHo Jang , David Mohaisen , DaeHun Nyang

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…

Data Structures and Algorithms · Computer Science 2018-11-13 Daniel Ting

The Count-Min Sketch is a widely adopted structure for approximate event counting in large scale processing. In a previous work we improved the original version of the Count-Min-Sketch (CMS) with conservative update using approximate…

Information Retrieval · Computer Science 2016-06-16 Guillaume Pitel , Geoffroy Fouquier , Emmanuel Marchand , Abdul Mouhamadsultane

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…

Discrete Mathematics · Computer Science 2022-03-29 Younes Ben Mazziane , Sara Alouf , Giovanni Neglia

\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…

Data Structures and Algorithms · Computer Science 2020-08-12 Anders Aamand , Piotr Indyk , Ali Vakilian

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…

Information Retrieval · Computer Science 2015-02-18 Guillaume Pitel , Geoffroy Fouquier

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…

Data Structures and Algorithms · Computer Science 2022-08-30 Edith Cohen , Jelani Nelson , Tamás Sarlós , Uri Stemmer

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…

Methodology · Statistics 2022-11-10 Matteo Sesia , Stefano Favaro

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…

Methodology · Statistics 2023-08-17 Matteo Sesia , Stefano Favaro , Edgar Dobriban

With the exponentially growing Internet traffic, sketch data structure with a probabilistic algorithm has been expected to be an alternative solution for non-compromised (non-selective) security monitoring. While facilitating counting…

Cryptography and Security · Computer Science 2025-03-18 Seungsam Yang , Seyed Mohammad Mehdi Mirnajafizadeh , Sian Kim , Rhongho Jang , DaeHun Nyang

Quantile summaries provide a scalable way to estimate the distribution of individual attributes in large datasets that are often distributed across multiple machines or generated by sensor networks. ReqSketch (arXiv:2004.01668) is currently…

Data Structures and Algorithms · Computer Science 2025-11-24 Tomáš Domes , Pavel Veselý

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…

Data Structures and Algorithms · Computer Science 2026-03-27 Younes Ben Mazziane , Vinay Kumar B. R. , Othmane Marfoq

The $k$-Minimum Values (\kmv) data sketch algorithm stores the $k$ least hash keys generated by hashing the items in a dataset. We show that compression based on ordering the keys and encoding successive differences can offer $O(\log n)$…

Data Structures and Algorithms · Computer Science 2024-09-05 Charlie Dickens , Eric Bax , Alexander Saydakov

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…

Data Structures and Algorithms · Computer Science 2021-02-04 Kasper Green Larsen , Rasmus Pagh , Jakub Tětek

To approximate sums of values in key-value data streams, sketches are widely used in databases and networking systems. They offer high-confidence approximations for any given key while ensuring low time and space overhead. While existing…

Data Structures and Algorithms · Computer Science 2024-06-04 Yuhan Wu , Hanbo Wu , Xilai Liu , Yikai Zhao , Tong Yang , Kaicheng Yang , Sha Wang , Lihua Miao , Gaogang Xie

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…

Machine Learning · Statistics 2021-02-12 Emanuele Dolera , Stefano Favaro , Stefano Peluchetti

Quantum key distribution allows remote parties to generate information-theoretic secure keys. The bottleneck throttling its real-life applications lies in the limited communication distance and key generation speed, due to the fact that the…

Quantum Physics · Physics 2019-04-24 Xiongfeng Ma , Pei Zeng , Hongyi Zhou

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…

Machine Learning · Computer Science 2020-11-30 Yuhan Wang , Zijian Lei , Liang Lan
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