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Sliding-window aggregation summarizes the most recent information in a data stream. Users specify how that summary is computed, usually as an associative binary operator because this is the most general known form for which it is possible…

Data Structures and Algorithms · Computer Science 2018-10-29 Kanat Tangwongsan , Martin Hirzel , Scott Schneider

Sliding-window aggregation is a foundational stream processing primitive that efficiently summarizes recent data. The state-of-the-art algorithms for sliding-window aggregation are highly efficient when stream data items are evicted or…

Databases · Computer Science 2023-10-03 Kanat Tangwongsan , Martin Hirzel , Scott Schneider

The sliding window model of computation captures scenarios in which data is arriving continuously, but only the latest $w$ elements should be used for analysis. The goal is to design algorithms that update the solution efficiently with each…

Data Structures and Algorithms · Computer Science 2020-10-26 Michele Borassi , Alessandro Epasto , Silvio Lattanzi , Sergei Vassilvitskii , Morteza Zadimoghaddam

The past decade has witnessed many interesting algorithms for maintaining statistics over a data stream. This paper initiates a theoretical study of algorithms for monitoring distributed data streams over a time-based sliding window (which…

Data Structures and Algorithms · Computer Science 2010-02-03 Ho-Leung Chan , Tak-Wah Lam , Lap-Kei Lee , Hing-Fung Ting

This is paper introduces a new single-pass reservoir weighted-sampling stream aggregation algorithm, Priority-Based Aggregation (PBA). While order sampling is a powerful and e cient method for weighted sampling from a stream of uniquely…

Data Structures and Algorithms · Computer Science 2017-11-02 Nick Duffield , Yunhong Xu , Liangzhen Xia , Nesreen Ahmed , Minlan Yu

This paper considers the problem of maintaining statistic aggregates over the last W elements of a data stream. First, the problem of counting the number of 1's in the last W bits of a binary stream is considered. A lower bound of…

Data Structures and Algorithms · Computer Science 2016-04-12 Ran Ben Basat , Gil Einziger , Roy Friedman , Yaron Kassner

Duplicate detection is the problem of identifying whether a given item has previously appeared in a (possibly infinite) stream of data, when only a limited amount of memory is available. Unfortunately the infinite stream setting is…

Data Structures and Algorithms · Computer Science 2020-05-12 Rémi Géraud-Stewart , Marius Lombard-Platet , David Naccache

To manage the complexity of transformers in video compression, local attention mechanisms are a practical necessity. The common approach of partitioning frames into patches, however, creates architectural flaws like irregular receptive…

Image and Video Processing · Electrical Eng. & Systems 2025-10-07 Alexander Kopte , André Kaup

In the sliding window model, we are required to maintain the target statistics over the most recent $n$ elements of a data stream, which is captured by a window of size $n$ sliding over the data stream. Exact computation usually requires…

Data Structures and Algorithms · Computer Science 2026-04-28 Ryo Suzuki , Yutaro Yamaguchi

Indexing of static and dynamic sets is fundamental to a large set of applications such as information retrieval and caching. Denoting the characteristic vector of the set by B, we consider the problem of encoding sets and multisets to…

Data Structures and Algorithms · Computer Science 2018-09-17 Ran Ben Basat , Seungbum Jo , Srinivasa Rao Satti , Shubham Ugare

Data aggregation is a fundamental primitive in distributed computing wherein a network computes a function of every nodes' input. However, while compute time is non-negligible in modern systems, standard models of distributed computing do…

Data Structures and Algorithms · Computer Science 2019-11-14 Bernhard Haeupler , D Ellis Hershkowitz , Anson Kahng , Ariel D. Procaccia

The DTW Barycenter Averaging (DBA) algorithm is a widely used algorithm for estimating the mean of a given set of point sequences. In this context, the mean is defined as a point sequence that minimises the sum of dynamic time warping…

Computational Geometry · Computer Science 2024-01-12 Frederik Brüning , Anne Driemel , Alperen Ergür , Heiko Röglin

The proliferation of sensing and monitoring applications motivates adoption of the event stream model of computation. Though sliding windows are widely used to facilitate effective event stream processing, it is greatly challenged when the…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-11-15 Yiling Yang , Yu Huang , Jiannong Cao , Xiaoxing Ma , Jian Lu

A Bloom filter is a method for reducing the space (memory) required for representing a set by allowing a small error probability. In this paper we consider a \emph{Sliding Bloom Filter}: a data structure that, given a stream of elements,…

Data Structures and Algorithms · Computer Science 2013-10-10 Moni Naor , Eylon Yogev

We consider time-space tradeoffs for exactly computing frequency moments and order statistics over sliding windows. Given an input of length 2n-1, the task is to output the function of each window of length n, giving n outputs in total.…

Computational Complexity · Computer Science 2013-09-19 Paul Beame , Raphael Clifford , Widad Machmouchi

Clustering is an important technique for identifying structural information in large-scale data analysis, where the underlying dataset may be too large to store. In many applications, recent data can provide more accurate information and…

Data Structures and Algorithms · Computer Science 2023-11-02 David P. Woodruff , Peilin Zhong , Samson Zhou

Window aggregates are ubiquitous in stream processing. In Azure Stream Analytics (ASA), a stream processing service hosted by Microsoft's Azure cloud, we see many customer queries that contain aggregate functions (such as MIN and MAX) over…

Databases · Computer Science 2022-03-10 Wentao Wu , Philip A. Bernstein , Alex Raizman , Christina Pavlopoulou

Given a string $S$ over an alphabet $\Sigma$, the 'string indexing problem' is to preprocess $S$ to subsequently support efficient pattern matching queries, i.e., given a pattern string $P$ report all the occurrences of $P$ in $S$. In this…

Data Structures and Algorithms · Computer Science 2023-01-24 Philip Bille , Johannes Fischer , Inge Li Gørtz , Max Rishøj Pedersen , Tord Joakim Stordalen

We introduce RTLola, a new stream-based specification language for the description of real-time properties of reactive systems. The key feature is the integration of sliding windows over real-time intervals with aggregation functions into…

Logic in Computer Science · Computer Science 2019-06-13 Peter Faymonville , Bernd Finkbeiner , Maximilian Schwenger , Hazem Torfah

We study the problem of enforcing continuous group fairness over windows in data streams. We propose a novel fairness model that ensures group fairness at a finer granularity level (referred to as block) within each sliding window. This…

Machine Learning · Computer Science 2026-01-15 Subhodeep Ghosh , Zhihui Du , Angela Bonifati , Manish Kumar , David Bader , Senjuti Basu Roy
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