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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

Kernel methods are learning algorithms that enjoy solid theoretical foundations while suffering from important computational limitations. Sketching, which consists in looking for solutions among a subspace of reduced dimension, is a well…

Machine Learning · Statistics 2023-11-07 Tamim El Ahmad , Pierre Laforgue , Florence d'Alché-Buc

Data sketches are approximate succinct summaries of long streams. They are widely used for processing massive amounts of data and answering statistical queries about it in real-time. Existing libraries producing sketches are very fast, but…

Data Structures and Algorithms · Computer Science 2019-12-06 Arik Rinberg , Alexander Spiegelman , Edward Bortnikov , Eshcar Hillel , Idit Keidar , Lee Rhodes , Hadar Serviansky

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

In this paper, we take into consideration quantile estimation in data stream models, where every item in the data stream is a key-value pair. Researchers sometimes aim to estimate per-key quantiles (i.e. quantile estimation for every…

Data Structures and Algorithms · Computer Science 2025-12-01 Jiarui Guo , Qiushi Lyu , Yuhan Wu , Haoyu Li , Zhaoqian Yao , Yuqi Dong , Xiaolin Wang , Bin Cui , Tong Yang

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

Decision making under uncertainty often requires choosing packages, or bags of tuples, that collectively optimize expected outcomes while limiting risks. Processing Stochastic Package Queries (SPQs) involves solving very large optimization…

Databases · Computer Science 2025-04-03 Riddho R. Haque , Anh L. Mai , Matteo Brucato , Azza Abouzied , Peter J. Haas , Alexandra Meliou

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

Graph streams represent data interactions in real applications. The mining of graph streams plays an important role in network security, social network analysis, and traffic control, among others. However, the sheer volume and high dynamics…

Databases · Computer Science 2023-04-07 Yiling Zeng , Chunyao Song , Yuhan Li , Tingjian Ge

The challenge of estimating similarity between sets has been a significant concern in data science, finding diverse applications across various domains. However, previous approaches, such as MinHash, have predominantly centered around…

Data Structures and Algorithms · Computer Science 2024-05-31 Fenghao Dong , Yang He , Yutong Liang , Zirui Liu , Yuhan Wu , Peiqing Chen , Tong Yang

Sketch-based streaming algorithms allow efficient processing of big data. These algorithms use small fixed-size storage to store a summary ("sketch") of the input data, and use probabilistic algorithms to estimate the desired quantity.…

Databases · Computer Science 2016-11-08 Reuven Cohen , Liran Katzir , Aviv Yehezkel

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

Sketching algorithms have recently proven to be a powerful approach both for designing low-space streaming algorithms as well as fast polynomial time approximation schemes (PTAS). In this work, we develop new techniques to extend the…

Data Structures and Algorithms · Computer Science 2023-10-31 Gregory Dexter , Petros Drineas , David P. Woodruff , Taisuke Yasuda

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

Leveraging the kernel trick in both the input and output spaces, surrogate kernel methods are a flexible and theoretically grounded solution to structured output prediction. If they provide state-of-the-art performance on complex data sets…

Machine Learning · Statistics 2024-05-07 Tamim El Ahmad , Luc Brogat-Motte , Pierre Laforgue , Florence d'Alché-Buc

A fundamental question in streaming complexity is whether every space-efficient turnstile algorithm is implicitly a linear sketch. The landmark work of Li, Nguyen, and Woodruff [LNW14] established an equivalence between the two, but their…

Data Structures and Algorithms · Computer Science 2026-04-27 Cheng Jiang , Yinchen Liu , Huacheng Yu

The immense amount of daily generated and communicated data presents unique challenges in their processing. Clustering, the grouping of data without the presence of ground-truth labels, is an important tool for drawing inferences from data.…

Machine Learning · Statistics 2018-02-08 Panagiotis A. Traganitis , Georgios B. Giannakis

We introduce Density sketches (DS): a succinct online summary of the data distribution. DS can accurately estimate point wise probability density. Interestingly, DS also provides a capability to sample unseen novel data from the underlying…

Data Structures and Algorithms · Computer Science 2021-02-25 Aditya Desai , Benjamin Coleman , Anshumali Shrivastava

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

Recent advancement of the WWW, IOT, social network, e-commerce, etc. have generated a large volume of data. These datasets are mostly represented by high dimensional and sparse datasets. Many fundamental subroutines of common data analytic…

Information Retrieval · Computer Science 2019-10-11 Rameshwar Pratap , Debajyoti Bera , Karthik Revanuru