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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…

Data Structures and Algorithms · Computer Science 2017-05-23 Daniel Anderson , Pryce Bevan , Kevin Lang , Edo Liberty , Lee Rhodes , Justin Thaler

Linear sketches are fundamental tools in data stream analytics. They are notable for supporting both approximate frequency queries and heavy hitter detection with bounded trade-offs for error and memory. Importantly, on streams that contain…

Cryptography and Security · Computer Science 2025-12-10 Rayne Holland

Streaming computation plays an important role in large-scale data analysis. The sliding window model is a model of streaming computation which also captures the recency of the data. In this model, data arrives one item at a time, but only…

Data Structures and Algorithms · Computer Science 2021-11-01 Alessandro Epasto , Mohammad Mahdian , Vahab Mirrokni , Peilin Zhong

Interactive analytics increasingly involves querying for quantiles over sub-populations of high cardinality datasets. Data processing engines such as Druid and Spark use mergeable summaries to estimate quantiles, but summary merge times can…

Databases · Computer Science 2018-07-17 Edward Gan , Jialin Ding , Kai Sheng Tai , Vatsal Sharan , Peter Bailis

The sliding window model of computation captures scenarios in which data are continually arriving in the form of a stream, and only the most recent $w$ items are used for analysis. In this setting, an algorithm needs to accurately track…

Cryptography and Security · Computer Science 2024-06-13 Yiping Wang , Yanhao Wang , Cen Chen

In this paper we consider the problem of estimating quantiles when data are received sequentially (data stream). For real life data streams, the distribution of the data typically varies with time making estimation of quantiles challenging.…

Methodology · Statistics 2017-02-02 Hugo Lewi Hammer , Anis Yazidi , Håvard Rue

Estimating the number of distinct elements in a data stream is well understood when repeated elements are identical. In modern settings, however, observations are high-dimensional and noisy, so repeated instances of the same object are only…

Machine Learning · Statistics 2026-05-18 Nikos Tsikouras , Constantine Caramanis , Christos Tzamos

Network monitoring is vital in modern clouds and data center networks for traffic engineering, network diagnosis, network intrusion detection, which need diverse traffic statistics ranging from flow size distributions to heavy hitters. To…

Networking and Internet Architecture · Computer Science 2019-05-09 Yongquan Fu , Dongsheng Li , Siqi Shen , Yiming Zhang , Kai Chen

The need to estimate a particular quantile of a distribution is an important problem which frequently arises in many computer vision and signal processing applications. For example, our work was motivated by the requirements of many…

Computer Vision and Pattern Recognition · Computer Science 2015-04-22 Ognjen Arandjelovic , Duc-Son Pham , Svetha Venkatesh

Subgraph counting is a fundamental primitive in graph processing, with applications in social network analysis (e.g., estimating the clustering coefficient of a graph), database processing and other areas. The space complexity of subgraph…

Data Structures and Algorithms · Computer Science 2018-08-16 John Kallaugher , Michael Kapralov , Eric Price

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…

Databases · Computer Science 2023-09-13 Wieger R. Punter , Odysseas Papapetrou , Minos Garofalakis

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.…

Networking and Internet Architecture · Computer Science 2025-03-19 Jonatan Langlet , Peiqing Chen , Michael Mitzenmacher , Ran Ben Basat , Zaoxing Liu , Gianni Antichi

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

Estimating ranks, quantiles, and distributions over streaming data is a central task in data analysis and monitoring. Given a stream of $n$ items from a data universe equipped with a total order, the task is to compute a sketch (data…

Data Structures and Algorithms · Computer Science 2023-08-25 Graham Cormode , Zohar Karnin , Edo Liberty , Justin Thaler , Pavel Veselý

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…

Data Structures and Algorithms · Computer Science 2012-07-12 Edo Liberty

UDDSKETCH is a recent algorithm for accurate tracking of quantiles in data streams, derived from the DDSKETCH algorithm. UDDSKETCH provides accuracy guarantees covering the full range of quantiles independently of the input distribution and…

Data Structures and Algorithms · Computer Science 2021-01-19 Massimo Cafaro , Catiuscia Melle , Italo Epicoco , Marco Pulimeno

Recently, Bessa et al. (PODS 2023) showed that sketches based on coordinated weighted sampling theoretically and empirically outperform popular linear sketching methods like Johnson-Lindentrauss projection and CountSketch for the ubiquitous…

Databases · Computer Science 2024-08-23 Majid Daliri , Juliana Freire , Christopher Musco , Aécio Santos , Haoxiang Zhang

Sketches, with their expressive potential, allow humans to convey the essence of an object through even a rough contour. For the first time, we harness this expressive potential to improve segmentation performance in challenging tasks like…

Computer Vision and Pattern Recognition · Computer Science 2025-02-03 Ying Zang , Runlong Cao , Jianqi Zhang , Yidong Han , Ziyue Cao , Wenjun Hu , Didi Zhu , Lanyun Zhu , Zejian Li , Deyi Ji , Tianrun Chen

Modern stream processing systems often need to track the frequency of distinct keys in a data stream in real-time. Since maintaining exact counts can require a prohibitive amount of memory, many applications rely on compact, probabilistic…

Data Structures and Algorithms · Computer Science 2026-04-29 Navid Eslami , Ioana O. Bercea , Rasmus Pagh , Niv Dayan

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…

Databases · Computer Science 2019-04-18 Arijit Khan , Sixing Yan