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Adaptive sampling is a useful algorithmic tool for data summarization problems in the classical centralized setting, where the entire dataset is available to the single processor performing the computation. Adaptive sampling repeatedly…

Data Structures and Algorithms · Computer Science 2020-04-24 Sepideh Mahabadi , Ilya Razenshteyn , David P. Woodruff , Samson Zhou

When individuals in a population can be classified in classes or categories, the coverage of a sample, $C$, is defined as the probability that a randomly selected individual from the population belongs to a class represented in the sample.…

Computation · Statistics 2025-04-08 Carlos Hernandez-Suarez

We study the use of sampling for efficiently mining the top-K frequent itemsets of cardinality at most w. To this purpose, we define an approximation to the top-K frequent itemsets to be a family of itemsets which includes (resp., excludes)…

Data Structures and Algorithms · Computer Science 2012-04-23 Andrea Pietracaprina , Matteo Riondato , Eli Upfal , Fabio Vandin

Stratified random sampling (SRS) is a fundamental sampling technique that provides accurate estimates for aggregate queries using a small size sample, and has been used widely for approximate query processing. A key question in SRS is how…

Databases · Computer Science 2018-02-21 Trong Duc Nguyen , Ming-Hung Shih , Divesh Srivastava , Srikanta Tirthapura , Bojian Xu

We consider the problem of sampling $n$ numbers from the range $\{1,\ldots,N\}$ without replacement on modern architectures. The main result is a simple divide-and-conquer scheme that makes sequential algorithms more cache efficient and…

Data Structures and Algorithms · Computer Science 2019-11-18 Peter Sanders , Sebastian Lamm , Lorenz Hübschle-Schneider , Emanuel Schrade , Carsten Dachsbacher

Sampling over joins is a fundamental task in large-scale data analytics. Instead of computing the full join results, which could be massive, a uniform sample of the join results would suffice for many purposes, such as answering analytical…

Databases · Computer Science 2024-04-11 Binyang Dai , Xiao Hu , Ke Yi

Datasets with sheer volume have been generated from fields including computer vision, medical imageology, and astronomy whose large-scale and high-dimensional properties hamper the implementation of classical statistical models. To tackle…

Statistics Theory · Mathematics 2023-05-30 Hang Yu , Zhenxing Dou , Zhiwei Chen , Xiaomeng Yan

We propose Graph Priority Sampling (GPS), a new paradigm for order-based reservoir sampling from massive streams of graph edges. GPS provides a general way to weight edge sampling according to auxiliary and/or size variables so as to…

Social and Information Networks · Computer Science 2017-03-09 Nesreen K. Ahmed , Nick Duffield , Theodore Willke , Ryan A. Rossi

Network datasets appear across a wide range of scientific fields, including biology, physics, and the social sciences. To enable data-driven discoveries from these networks, statistical inference techniques like estimation and hypothesis…

Methodology · Statistics 2026-02-19 Arpan Kumar , Minh Tang , Srijan Sengupta

Probability proportional to size (PPS) sampling schemes with a target sample size aim to produce a sample comprising a specified number $n$ of items while ensuring that each item in the population appears in the sample with a probability…

Methodology · Statistics 2024-11-14 Brian Hentschel , Peter J. Haas , Yuanyuan Tian

We study the classic NP-Hard problem of finding the maximum $k$-set coverage in the data stream model: given a set system of $m$ sets that are subsets of a universe $\{1,\ldots,n \}$, find the $k$ sets that cover the most number of distinct…

Data Structures and Algorithms · Computer Science 2018-05-11 Andrew McGregor , Hoa T. Vu

Determinantal Point Processes (DPPs) are elegant probabilistic models of repulsion and diversity over discrete sets of items. But their applicability to large sets is hindered by expensive cubic-complexity matrix operations for basic tasks…

Machine Learning · Computer Science 2016-05-31 Chengtao Li , Stefanie Jegelka , Suvrit Sra

Operations over data streams typically hinge on efficient mechanisms to aggregate or summarize history on a rolling basis. For high-volume data steams, it is critical to manage state in a manner that is fast and memory efficient --…

Data Structures and Algorithms · Computer Science 2024-09-24 Matthew Andres Moreno , Luis Zaman , Emily Dolson

Sampling is a fundamental problem in computer science and statistics. However, for a given task and stream, it is often not possible to choose good sampling probabilities in advance. We derive a general framework for adaptively changing the…

Machine Learning · Statistics 2022-06-16 Daniel Ting

In the fields of big data, AI, and streaming processing, we work with large amounts of data from multiple sources. Due to memory and network limitations, we process data streams on distributed systems to alleviate computational and network…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-18 József Dániel Gáspár , Martin Horváth , Győző Horváth , Zoltán Zvara

Randomness extraction is an essential post-processing step in practical quantum cryptography systems. When statistical fluctuations are taken into consideration, the requirement of large input data size could heavily penalise the speed and…

Quantum Physics · Physics 2024-04-09 Hong Jie Ng , Wen Yu Kon , Ignatius William Primaatmaja , Chao Wang , Charles Lim

Recent works have proposed optimal subsampling algorithms to improve computational efficiency in large datasets and to design validation studies in the presence of measurement error. Existing approaches generally fall into two categories:…

Methodology · Statistics 2025-12-25 Jasper B. Yang , Thomas Lumley , Bryan E. Shepherd , Pamela A. Shaw

Space efficient algorithms play a central role in dealing with large amount of data. In such settings, one would like to analyse the large data using small amount of "working space". One of the key steps in many algorithms for analysing…

Data Structures and Algorithms · Computer Science 2015-01-19 Anup Bhattacharya , Davis Issac , Ragesh Jaiswal , Amit Kumar

Suppose an $n \times d$ design matrix in a linear regression problem is given, but the response for each point is hidden unless explicitly requested. The goal is to sample only a small number $k \ll n$ of the responses, and then produce a…

Machine Learning · Computer Science 2018-09-06 Michał Dereziński , Manfred K. Warmuth , Daniel Hsu

Recent success in Deep Reinforcement Learning (DRL) methods has shown that policy optimization with respect to an off-policy distribution via importance sampling is effective for sample reuse. In this paper, we show that the use of…

Machine Learning · Computer Science 2023-02-07 Zichuan Lin , Xiapeng Wu , Mingfei Sun , Deheng Ye , Qiang Fu , Wei Yang , Wei Liu