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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

A Bloom Filter is a probabilistic data structure designed to check, rapidly and memory-efficiently, whether an element is present in a set. It has been vastly used in various computing areas and several variants, allowing deletions, dynamic…

Data Structures and Algorithms · Computer Science 2023-06-13 Ana Rodrigues , Ariel Shtul , Carlos Baquero , Paulo Sérgio Almeida

Bloom filters are widely used data structures that compactly represent sets of elements. Querying a Bloom filter reveals if an element is not included in the underlying set or is included with a certain error rate. This membership testing…

Databases · Computer Science 2022-08-08 Angjela Davitkova , Damjan Gjurovski , Sebastian Michel

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

The increasing popularity of jumbo frames means growing variance in the size of packets transmitted in modern networks. Consequently, network monitoring tools must maintain explicit traffic volume statistics rather than settle for packet…

Data Structures and Algorithms · Computer Science 2017-10-17 Ran Ben Basat , Gil Einziger , Roy Friedman

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

The Distributed Bloom Filter is a space-efficient, probabilistic data structure designed to perform more efficient set reconciliations in distributed systems. It guarantees eventual consistency of states between nodes in a system, while…

Data Structures and Algorithms · Computer Science 2020-02-20 Lum Ramabaja , Arber Avdullahu

Many networking applications require timely access to recent network measurements, which can be captured using a sliding window model. Maintaining such measurements is a challenging task due to the fast line speed and scarcity of fast…

Data Structures and Algorithms · Computer Science 2018-04-25 Ran Ben Basat , Gil Einziger , Roy Friedman

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

There is a plethora of data structures, algorithms, and frameworks dealing with major data-stream problems like estimating the frequency of items, answering set membership, association and multiplicity queries, and several other statistics…

Data Structures and Algorithms · Computer Science 2021-06-24 Anes Abdennebi , Kamer Kaya

Bloom filters are data structures used to determine set membership of elements, with applications from string matching to networking and security problems. These structures are favored because of their reduced memory consumption and fast…

Data Structures and Algorithms · Computer Science 2019-02-21 Ethan Madison , Zachary Zipper

Bloom Filter is extensively deployed data structure in various applications and research domain since its inception. Bloom Filter is able to reduce the space consumption in an order of magnitude. Thus, Bloom Filter is used to keep…

Data Structures and Algorithms · Computer Science 2019-03-18 Ripon Patgiri , Sabuzima Nayak , Samir Kumar Borgohain

The Bloom filter is a simple yet space-efficient probabilistic data structure that supports membership queries for dramatically large datasets. It is widely utilized and implemented across various industrial scenarios, often handling…

Cryptography and Security · Computer Science 2026-01-26 Yekun Ke , Yingyu Liang , Zhizhou Sha , Zhenmei Shi , Zhao Song , Jiahao Zhang

Bloom filters are probabilistic data structures commonly used for approximate membership problems in many areas of Computer Science (networking, distributed systems, databases, etc.). With the increase in data size and distribution of data,…

Databases · Computer Science 2016-09-22 Adina Crainiceanu , Daniel Lemire

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

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

We consider the problem of succinctly encoding a static map to support approximate queries. We derive upper and lower bounds on the space requirements in terms of the error rate and the entropy of the distribution of values over keys: our…

Data Structures and Algorithms · Computer Science 2007-10-18 David Talbot , John Talbot

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

Data stream mining problem has caused widely concerns in the area of machine learning and data mining. In some recent studies, ensemble classification has been widely used in concept drift detection, however, most of them regard…

Data Structures and Algorithms · Computer Science 2017-08-14 Junhong Wang , Shuliang Xu , Bingqian Duan , Caifeng Liu , Jiye Liang

In this short note a method for computing the naive plugin estimator of discrete entropy from a counting Bloom filter will be presented. The method does work reasonably as long as the collision probability in the bloom filter is kept low.

Information Theory · Computer Science 2018-02-20 Michael Cochez
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