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Estimating the quantiles of a large dataset is a fundamental problem in both the streaming algorithms literature and the differential privacy literature. However, all existing private mechanisms for distribution-independent quantile…

数据结构与算法 · 计算机科学 2022-01-11 Daniel Alabi , Omri Ben-Eliezer , Anamay Chaturvedi

Sampling of signals belonging to a low-dimensional subspace has well-documented merits for dimensionality reduction, limited memory storage, and online processing of streaming network data. When the subspace is known, these signals can be…

信息论 · 计算机科学 2019-11-26 Fernando Gama , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

Given a database, computing the fraction of rows that contain a query itemset or determining whether this fraction is above some threshold are fundamental operations in data mining. A uniform sample of rows is a good sketch of the database…

数据结构与算法 · 计算机科学 2016-03-10 Edo Liberty , Michael Mitzenmacher , Justin Thaler , Jonathan Ullman

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.…

机器学习 · 统计学 2018-02-08 Panagiotis A. Traganitis , Georgios B. Giannakis

While traditional data-management systems focus on evaluating single, ad-hoc queries over static data sets in a centralized setting, several emerging applications require (possibly, continuous) answers to queries on dynamic data that is…

数据库 · 计算机科学 2015-03-20 Odysseas Papapetrou , Minos Garofalakis , Antonios Deligiannakis

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

A graph stream is a continuous sequence of data items, in which each item indicates an edge, including its two endpoints and edge weight. It forms a dynamic graph that changes with every item in the stream. Graph streams play important…

数据结构与算法 · 计算机科学 2018-09-06 Xiangyang Gou , Lei Zou , Chenxingyu Zhao , Tong Yang

Frequency estimation of elements is an important task for summarizing data streams and machine learning applications. The problem is often addressed by using streaming algorithms with sublinear space data structures. These algorithms allow…

数据结构与算法 · 计算机科学 2022-04-05 Nikita Seleznev , Senthil Kumar , C. Bayan Bruss

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…

数据库 · 计算机科学 2026-02-18 Boyan Wang , Zhuochen Fan , Dayu Wang , Fangcheng Fu , Zeyu Luan , Lei Zou , Qing Li , Tong Yang

This paper investigates parallel random sampling from a potentially-unending data stream whose elements are revealed in a series of element sequences (minibatches). While sampling from a stream was extensively studied sequentially, not much…

数据结构与算法 · 计算机科学 2019-06-11 Kanat Tangwongsan , Srikanta Tirthapura

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…

数据结构与算法 · 计算机科学 2023-10-31 Gregory Dexter , Petros Drineas , David P. Woodruff , Taisuke Yasuda

Data sketches balance resource efficiency with controllable approximations for extracting features in high-volume, high-rate data. Two important points of interest are highlighted separately in recent works; namely, to (1) answer multiple…

数据结构与算法 · 计算机科学 2025-07-08 Martin Hilgendorf , Marina Papatriantafilou

Consistent sampling is a technique for specifying, in small space, a subset $S$ of a potentially large universe $U$ such that the elements in $S$ satisfy a suitably chosen sampling condition. Given a subset $\mathcal{I}\subseteq U$ it…

数据结构与算法 · 计算机科学 2014-04-21 Konstantin Kutzkov , Rasmus Pagh

We present a sketch-based CAD modeling system, where users create objects incrementally by sketching the desired shape edits, which our system automatically translates to CAD operations. Our approach is motivated by the close similarities…

图形学 · 计算机科学 2020-09-11 Changjian Li , Hao Pan , Adrien Bousseau , Niloy J. Mitra

Big data streams are possibly one of the most essential underlying notions. However, data streams are often challenging to handle owing to their rapid pace and limited information lifetime. It is difficult to collect and communicate stream…

机器学习 · 计算机科学 2022-03-03 Christos Karras , Aristeidis Karras , Spyros Sioutas

Estimating frequencies of elements appearing in a data stream is a key task in large-scale data analysis. Popular sketching approaches to this problem (e.g., CountMin and CountSketch) come with worst-case guarantees that probabilistically…

数据结构与算法 · 计算机科学 2023-12-13 Anders Aamand , Justin Y. Chen , Huy Lê Nguyen , Sandeep Silwal , Ali Vakilian

With the increasing rate of data generated by critical systems, estimating functions on streaming data has become essential. This demand has driven numerous advancements in algorithms designed to efficiently query and analyze one or more…

数据库 · 计算机科学 2024-05-16 Mike Heddes , Igor Nunes , Tony Givargis , Alex Nicolau

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.…

数据库 · 计算机科学 2016-11-08 Reuven Cohen , Liran Katzir , Aviv Yehezkel

Kernel density estimation is a simple and effective method that lies at the heart of many important machine learning applications. Unfortunately, kernel methods scale poorly for large, high dimensional datasets. Approximate kernel density…

数据结构与算法 · 计算机科学 2019-12-06 Benjamin Coleman , Anshumali Shrivastava

Many dynamic applications are built upon large network infrastructures, such as social networks, communication networks, biological networks and the Web. Such applications create data that can be naturally modeled as graph streams, in which…

数据库 · 计算机科学 2011-12-01 Peixiang Zhao , Charu C. Aggarwal , Min Wang