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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…

Data Structures and Algorithms · Computer Science 2021-11-09 Piotr Indyk , Shyam Narayanan , David P. Woodruff

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…

Databases · Computer Science 2025-05-20 Zicang Xu , Yuxuan Tian , Yuhan Wu , Tong Yang

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

Sketches are probabilistic data structures that can provide approximate results within mathematically proven error bounds while using orders of magnitude less memory than traditional approaches. They are tailored for streaming data analysis…

Data Structures and Algorithms · Computer Science 2019-03-05 Fatih Taşyaran , Kerem Yıldırır , Kamer Kaya , Mustafa Kemal Taş

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.…

Machine Learning · Computer Science 2026-03-26 Xinyu Yuan , Yan Qiao , Meng Li , Zhenchun Wei , Cuiying Feng , Zonghui Wang , Wenzhi Chen

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…

Data Structures and Algorithms · Computer Science 2022-07-19 Dimitris Bertsimas , Vassilis Digalakis

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…

Data Structures and Algorithms · Computer Science 2020-01-07 Ning Li

Network stream mining is fundamental to many network operations. Sketches, as compact data structures that offer low memory overhead with bounded accuracy, have emerged as a promising solution for network stream mining. Recent studies…

Networking and Internet Architecture · Computer Science 2025-02-12 Yuanpeng Li , Zhen Xu , Zongwei Lv , Yannan Hu , Yong Cui , Tong Yang

One of the most common statistics computed over data elements is the number of distinct keys. A thread of research pioneered by Flajolet and Martin three decades ago culminated in the design of optimal approximate counting sketches, which…

Data Structures and Algorithms · Computer Science 2017-02-27 Edith Cohen

We consider massive distributed datasets that consist of elements modeled as key-value pairs and the task of computing statistics or aggregates where the contribution of each key is weighted by a function of its frequency (sum of values of…

Data Structures and Algorithms · Computer Science 2019-12-24 Edith Cohen , Ofir Geri

Sketch-based algorithms for network traffic monitoring have drawn increasing interest in recent years due to their sub-linear memory efficiency and high accuracy. As the volume of network traffic grows, software-based sketch implementations…

Hardware Architecture · Computer Science 2025-04-28 Zhaoyang Han , Yicheng Qian , Michael Zink , Miriam Leeser

Stream monitoring is fundamental in many data stream applications, such as financial data trackers, security, anomaly detection, and load balancing. In that respect, quantiles are of particular interest, as they often capture the user's…

Data Structures and Algorithms · Computer Science 2022-01-07 Rana Shahout , Roy Friedman , Ran Ben Basat

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

Graph streams are rapidly evolving sequences of edges that convey continuously changing relationships among entities, playing a crucial role in domains such as networking, finance, and cybersecurity. Their massive scale and high dynamism…

Databases · Computer Science 2026-02-18 Boyan Wang , Zhuochen Fan , Dayu Wang , Fangcheng Fu , Zeyu Luan , Lei Zou , Qing Li , Tong Yang

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…

Data Structures and Algorithms · Computer Science 2025-09-12 Aleksander Łukasiewicz , Jakub Tětek , Pavel Veselý

Due to the large data volume and number of distinct elements, space is often the bottleneck of many stream processing systems. The data structures used by these systems often consist of counters whose optimization yields significant memory…

Networking and Internet Architecture · Computer Science 2025-02-21 Ran Ben Basat , Gil Einziger , Bilal Tyah , Shay Vargaftik

Counters are the fundamental building block of many data sketching schemes, which hash items to a small number of counters and account for collisions to provide good approximations for frequencies and other measures. Most existing methods…

Data Structures and Algorithms · Computer Science 2021-02-26 Ran Ben Basat , Gil Einziger , Michael Mitzenmacher , Shay Vargaftik

We propose skewed stable random projections for approximating the pth frequency moments of dynamic data streams (0<p<=2), which has been frequently studied in theoretical computer science and database communities. Our method significantly…

Data Structures and Algorithms · Computer Science 2008-02-07 Ping Li

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

A sketch is a probabilistic data structure used to record frequencies of items in a multi-set. Sketches are widely used in various fields, especially those that involve processing and storing data streams. In streaming applications with…

Data Structures and Algorithms · Computer Science 2017-02-08 Tong Yang , Lingtong Liu , Yibo Yan , Muhammad Shahzad , Yulong Shen , Xiaoming Li , Bin Cui , Gaogang Xie
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