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Hash-based sampling and estimation are common themes in computing. Using hashing for sampling gives us the coordination needed to compare samples from different sets. Hashing is also used when we want to count distinct elements. The quality…

数据结构与算法 · 计算机科学 2024-12-02 Anders Aamand , Ioana O. Bercea , Jakob Bæk Tejs Houen , Jonas Klausen , Mikkel Thorup

The number of triangles in a graph is useful to deduce a plethora of important features of the network that the graph is modeling. However, finding the exact value of this number is computationally expensive. Hence, a number of…

数据结构与算法 · 计算机科学 2017-10-30 Duru Türkoğlu , Ata Turk

Joining records with all other records that meet a linkage condition can result in an astronomically large number of combinations due to many-to-many relationships. For such challenging (acyclic) joins, a random sample over the join result…

数据库 · 计算机科学 2022-01-11 Michael Shekelyan , Graham Cormode , Peter Triantafillou , Ali Shanghooshabad , Qingzhi Ma

Clustered data, which arise when observations are nested within groups, are incredibly common in clinical, education, and social science research. Traditionally, a linear mixed model, which includes random effects to account for…

统计方法学 · 统计学 2026-02-04 Kevin McCoy , Zachary Wooten , Katarzyna Tomczak , Christine B. Peterson

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…

数据结构与算法 · 计算机科学 2019-12-06 Arik Rinberg , Alexander Spiegelman , Edward Bortnikov , Eshcar Hillel , Idit Keidar , Lee Rhodes , Hadar Serviansky

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

In this paper, we propose CodedSketch, as a distributed straggler-resistant scheme to compute an approximation of the multiplication of two massive matrices. The objective is to reduce the recovery threshold, defined as the total number of…

信息论 · 计算机科学 2021-02-15 Tayyebeh Jahani-Nezhad , Mohammad Ali Maddah-Ali

Estimating the distribution and quantiles of data is a foundational task in data mining and data science. We study algorithms which provide accurate results for extreme quantile queries using a small amount of space, thus helping to…

数据结构与算法 · 计算机科学 2021-06-11 Graham Cormode , Abhinav Mishra , Joseph Ross , Pavel Veselý

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.…

机器学习 · 计算机科学 2026-03-26 Xinyu Yuan , Yan Qiao , Meng Li , Zhenchun Wei , Cuiying Feng , Zonghui Wang , Wenzhi Chen

We revisit the problem of sketching using approximate leverage scores for matrix least squares problems of the form $\| AX - B \|_F^2$ where the design matrix $A \in \mathbb{R}^{N \times r}$ is tall and skinny with $N \gg r$. We derive the…

数值分析 · 数学 2026-03-31 Brett W. Larsen , Tamara G. Kolda

Recent technological advancements have led to the generation of huge amounts of data over the web, such as text, image, audio and video. Most of this data is high dimensional and sparse, for e.g., the bag-of-words representation used for…

信息论 · 计算机科学 2017-08-17 Rameshwar Pratap , Ishan Sohony , Raghav Kulkarni

A key obstacle in automated analytics and meta-learning is the inability to recognize when different datasets contain measurements of the same variable. Because provided attribute labels are often uninformative in practice, this task may be…

机器学习 · 计算机科学 2019-09-12 Jonas Mueller , Alex Smola

Estimating cardinality, i.e., the number of distinct elements, of a data stream is a fundamental problem in areas like databases, computer networks, and information retrieval. This study delves into a broader scenario where each element…

数据库 · 计算机科学 2024-06-28 Yiyan Qi , Rundong Li , Pinghui Wang , Yufang Sun , Rui Xing

Data aggregation, also known as meta analysis, is widely used to combine knowledge on parameters shared in common (e.g., average treatment effect) between multiple studies. In this paper, we introduce an attractive data aggregation scheme…

统计方法学 · 统计学 2023-05-10 Snigdha Panigrahi , Jingshen Wang , Xuming He

Sketches have shown high accuracy in multi-way join cardinality estimation, a critical problem in cost-based query optimization. Accurately estimating the cardinality of a join operation -- analogous to its computational cost -- allows the…

数据库 · 计算机科学 2025-06-18 Brian Tsan , Abylay Amanbayev , Asoke Datta , Florin Rusu

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

统计方法学 · 统计学 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

Recent work has explored transforming data sets into smaller, approximate summaries in order to scale Bayesian inference. We examine a related problem in which the parameters of a Bayesian model are very large and expensive to store in…

机器学习 · 计算机科学 2018-10-03 Joseph Tassarotti , Jean-Baptiste Tristan , Michael Wick

Data sketching is a critical tool for distinct counting, enabling multisets to be represented by compact summaries that admit fast cardinality estimates. Because sketches may be merged to summarize multiset unions, they are a basic building…

数据结构与算法 · 计算机科学 2023-02-07 Jonathan Hehir , Daniel Ting , Graham Cormode

In recent years, network embedding methods have garnered increasing attention because of their effectiveness in various information retrieval tasks. The goal is to learn low-dimensional representations of vertexes in an information network…

社会与信息网络 · 计算机科学 2017-11-02 Chih-Ming Chen , Yi-Hsuan Yang , Yian Chen , Ming-Feng Tsai

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