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相关论文: Sub-O(log n) Out-of-Order Sliding-Window Aggregati…

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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…

数据库 · 计算机科学 2020-09-30 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…

数据库 · 计算机科学 2023-10-03 Kanat Tangwongsan , Martin Hirzel , Scott Schneider

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…

数据结构与算法 · 计算机科学 2010-02-03 Ho-Leung Chan , Tak-Wah Lam , Lap-Kei Lee , Hing-Fung Ting

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.…

计算复杂性 · 计算机科学 2013-09-19 Paul Beame , Raphael Clifford , Widad Machmouchi

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…

数据结构与算法 · 计算机科学 2016-04-12 Ran Ben Basat , Gil Einziger , Roy Friedman , Yaron Kassner

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…

数据结构与算法 · 计算机科学 2026-04-28 Ryo Suzuki , Yutaro Yamaguchi

We initiate the study of the Interval Selection problem in the (streaming) sliding window model of computation. In this problem, an algorithm receives a potentially infinite stream of intervals on the line, and the objective is to maintain…

数据结构与算法 · 计算机科学 2024-11-13 Cezar-Mihail Alexandru , Christian Konrad

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…

数据结构与算法 · 计算机科学 2020-10-26 Michele Borassi , Alessandro Epasto , Silvio Lattanzi , Sergei Vassilvitskii , Morteza Zadimoghaddam

We derive new time-space tradeoff lower bounds and algorithms for exactly computing statistics of input data, including frequency moments, element distinctness, and order statistics, that are simple to calculate for sorted data. We develop…

计算复杂性 · 计算机科学 2013-09-17 Paul Beame , Raphael Clifford , Widad Machmouchi

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…

数据结构与算法 · 计算机科学 2022-05-26 Robert Krauthgamer , David Reitblat

We extend the multi-pass streaming model to sliding window problems, and address the problem of computing order statistics on fixed-size sliding windows, in the multi-pass streaming model as well as the closely related communication…

数据结构与算法 · 计算机科学 2018-07-13 Dhruv Rohatgi

Maximizing submodular functions under cardinality constraints lies at the core of numerous data mining and machine learning applications, including data diversification, data summarization, and coverage problems. In this work, we study this…

数据结构与算法 · 计算机科学 2016-11-01 Alessandro Epasto , Silvio Lattanzi , Sergei Vassilvitskii , Morteza Zadimoghaddam

Symbolic representations are a useful tool for the dimension reduction of temporal data, allowing for the efficient storage of and information retrieval from time series. They can also enhance the training of machine learning algorithms on…

机器学习 · 计算机科学 2022-01-19 Xinye Chen , Stefan Güttel

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…

数据结构与算法 · 计算机科学 2023-01-24 Philip Bille , Johannes Fischer , Inge Li Gørtz , Max Rishøj Pedersen , Tord Joakim Stordalen

Matrix multiplication is a core operation in numerous applications, yet its exact computation becomes prohibitively expensive as data scales, especially in streaming environments where timeliness is critical. In many real-world scenarios,…

数据结构与算法 · 计算机科学 2025-02-26 Haoming Xian , Qintian Guo , Jun Zhang , Sibo Wang

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…

数据结构与算法 · 计算机科学 2017-11-02 Nick Duffield , Yunhong Xu , Liangzhen Xia , Nesreen Ahmed , Minlan Yu

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…

数据结构与算法 · 计算机科学 2019-11-14 Bernhard Haeupler , D Ellis Hershkowitz , Anson Kahng , Ariel D. Procaccia

In many applications, monitoring area under the ROC curve (AUC) in a sliding window over a data stream is a natural way of detecting changes in the system. The drawback is that computing AUC in a sliding window is expensive, especially if…

机器学习 · 计算机科学 2019-02-05 Nikolaj Tatti

We explore clustering problems in the streaming sliding window model in both general metric spaces and Euclidean space. We present the first polylogarithmic space $O(1)$-approximation to the metric $k$-median and metric $k$-means problems…

数据结构与算法 · 计算机科学 2015-04-22 Vladimir Braverman , Harry Lang , Keith Levin , Morteza Monemizadeh

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…

数据库 · 计算机科学 2023-03-07 Xing Shi , Chao Wang
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