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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 widely-used approach for extracting insights from the most recent portion of a data stream. The aggregations of interest can usually be expressed as binary operators that are associative but not necessarily…

Databases · Computer Science 2020-09-30 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

Streaming computation plays an important role in large-scale data analysis. The sliding window model is a model of streaming computation which also captures the recency of the data. In this model, data arrives one item at a time, but only…

Data Structures and Algorithms · Computer Science 2021-11-01 Alessandro Epasto , Mohammad Mahdian , Vahab Mirrokni , Peilin Zhong

High order cumulant tensors carry information about statistics of non-normally distributed multivariate data. In this work we present a new efficient algorithm for calculation of cumulants of arbitrary order in a sliding window for data…

Data Structures and Algorithms · Computer Science 2022-10-06 Krzysztof Domino , Piotr Gawron

Clustering is a fundamental task in data mining and machine learning, particularly for analyzing large-scale data. In this paper, we introduce Clust-Splitter, an efficient algorithm based on nonsmooth optimization, designed to solve the…

Machine Learning · Computer Science 2026-03-19 Jenni Lampainen , Kaisa Joki , Napsu Karmitsa , Marko M. Mäkelä

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

We show how to utilize machine learning approaches to improve sliding window algorithms for approximate frequency estimation problems, under the ``algorithms with predictions'' framework. In this dynamic environment, previous…

Data Structures and Algorithms · Computer Science 2024-09-19 Rana Shahout , Ibrahim Sabek , Michael Mitzenmacher

Analytic function, also called window function, is to query the aggregation of data over a sliding window. For example, a simple query over the online stock platform is to return the average price of a stock of the last three days. These…

Databases · Computer Science 2023-03-07 Xing Shi , Chao Wang

A streaming model is one where data items arrive over long period of time, either one item at a time or in bursts. Typical tasks include computing various statistics over a sliding window of some fixed time-horizon. What makes the streaming…

Data Structures and Algorithms · Computer Science 2008-04-14 Vladimir Braverman , Rafail Ostrovsky , Carlo Zaniolo

Sliding window sums are widely used for string indexing, hashing and time series analysis. We have developed a family of the generic vectorized sliding sum algorithms that provide speedup of O(P/w) for window size $w$ and number of…

Machine Learning · Computer Science 2023-05-29 Roman Snytsar

The availability of large number of processing nodes in a parallel and distributed computing environment enables sophisticated real time processing over high speed data streams, as required by many emerging applications. Sliding window…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-26 Abhirup Chakraborty , Ajit Singh

We study algorithms for the sliding-window model, an important variant of the data-stream model, in which the goal is to compute some function of a fixed-length suffix of the stream. We extend the smooth-histogram framework of Braverman and…

Data Structures and Algorithms · Computer Science 2022-05-26 Robert Krauthgamer , David Reitblat

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

An important thread in the study of data-stream algorithms focuses on settings where stream items are active only for a limited time. We introduce a new expiration model, where each item arrives with its own expiration time. The special…

Data Structures and Algorithms · Computer Science 2025-09-10 Lotte Blank , Sergio Cabello , MohammadTaghi Hajiaghayi , Robert Krauthgamer , Sepideh Mahabadi , André Nusser , Jeff M. Phillips , Jonas Sauer

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

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

We initiate the study of numerical linear algebra in the sliding window model, where only the most recent $W$ updates in a stream form the underlying data set. We first introduce a unified row-sampling based framework that gives randomized…

Data Structures and Algorithms · Computer Science 2023-04-12 Vladimir Braverman , Petros Drineas , Cameron Musco , Christopher Musco , Jalaj Upadhyay , David P. Woodruff , Samson Zhou

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

Clustering aims to group unlabeled objects based on similarity inherent among them into clusters. It is important for many tasks such as anomaly detection, database sharding, record linkage, and others. Some clustering methods are taken as…

Databases · Computer Science 2024-12-02 Binbin Gu , Saeed Kargar , Faisal Nawab
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