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With the growing scale of big data, probabilistic structures receive increasing popularity for efficient approximate storage and query processing. For example, Bloom filters (BF) can achieve satisfactory performance for approximate…

数据结构与算法 · 计算机科学 2019-12-17 Yue Fu , Rong Du , Haibo Hu , Man Ho Au , Dagang Li

Bloom Filter is a probabilistic membership data structure and it is excessively used data structure for membership query. Bloom Filter becomes the predominant data structure in approximate membership filtering. Bloom Filter extremely…

数据结构与算法 · 计算机科学 2019-04-01 Ripon Patgiri , Sabuzima Nayak , Samir Kumar Borgohain

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…

数据结构与算法 · 计算机科学 2019-02-21 Ethan Madison , Zachary Zipper

Bloom filters are space-efficient probabilistic data structures that are used to test whether an element is a member of a set, and may return false positives. Recently, variations referred to as learned Bloom filters were developed that can…

数据结构与算法 · 计算机科学 2020-10-06 Kapil Vaidya , Eric Knorr , Tim Kraska , Michael Mitzenmacher

Bloom Filter is a probabilistic data structure for the membership query, and it has been intensely experimented in various fields to reduce memory consumption and enhance a system's performance. Bloom Filter is classified into two key…

数据结构与算法 · 计算机科学 2021-06-09 Sabuzima Nayak , Ripon Patgiri

The Bloom filter (BF) is a space efficient randomized data structure particularly suitable to represent a set supporting approximate membership queries. BFs have been extensively used in many applications especially in networking due to…

数据结构与算法 · 计算机科学 2016-03-04 Laura Carrea , Alexei Vernitski , Martin Reed

These days, Key-Value Stores are widely used for scalable data storage. In this environment, Bloom filter (BF) serves as an efficient probabilistic data structure for representing sets of keys. They allow for set membership queries with no…

数据结构与算法 · 计算机科学 2025-12-16 Paul Walther , Wejdene Mansour , Johann Maximilian Zollner , Martin Werner

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…

数据结构与算法 · 计算机科学 2021-06-24 Anes Abdennebi , Kamer Kaya

Bloom Filters are a space-efficient data structure used for the testing of membership in a set that errs only in the False Positive direction. However, the standard analysis that measures this False Positive rate provides a form of worst…

数据结构与算法 · 计算机科学 2024-02-06 Kahlil Dozier , Loqman Salamatian , Dan Rubenstein

Bloom filter (BF) has been widely used to support membership query, i.e., to judge whether a given element x is a member of a given set S or not. Recent years have seen a flourish design explosion of BF due to its characteristic of…

数据结构与算法 · 计算机科学 2019-01-08 Lailong Luo , Deke Guo , Richard T. B. Ma , Ori Rottenstreich , Xueshan Luo

The amount of data coming from different sources such as IoT-sensors, social networks, cellular networks, has increased exponentially during the last few years. Probabilistic Data Structures (PDS) are efficient alternatives to deterministic…

数据结构与算法 · 计算机科学 2022-11-02 Remy Scholler , Jean-Francois Couchot , Oumaima Alaoui-Ismaili , Denis Renaud , Eric Ballot

Probabilistic filters are approximate set membership data structures that represent a set of keys in small space, and answer set membership queries without false negative answers, but with a certain allowed false positive probability. Such…

数据库 · 计算机科学 2025-08-14 Johanna Elena Schmitz , Jens Zentgraf , Sven Rahmann

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,…

数据结构与算法 · 计算机科学 2013-10-10 Moni Naor , Eylon Yogev

In this paper we compare two probabilistic data structures for association queries derived from the well-known Bloom filter: the shifting Bloom filter (ShBF), and the spatial Bloom filter (SBF). With respect to the original data structure,…

数据结构与算法 · 计算机科学 2022-05-06 Luca Calderoni , Dario Maio , Paolo Palmieri

The Bloom filter (BF) is a well-known space-efficient data structure that answers set membership queries with some probability of false positives. In an attempt to solve many of the limitations of current inter-networking architectures,…

数据结构与算法 · 计算机科学 2010-01-20 Christian Esteve Rothenberg , Carlos A. Macapuna , Fabio L. Verdi , Mauricio F. Magalhaes , Alexander Wiesmaier

We introduce a data structure that allows for efficient (probabilistic) presence proofs and non-probabilistic absence proofs in a bandwidth efficient and secure way. The Bloom tree combines the idea of Bloom filters with that of Merkle…

数据结构与算法 · 计算机科学 2020-02-20 Lum Ramabaja , Arber Avdullahu

We resolve a long-standing open question, about the existence of a constant-factor approximation algorithm for the average-case \textsc{Decision Tree} problem with uniform probability distribution over the hypotheses. We answer the question…

数据结构与算法 · 计算机科学 2026-04-29 Michał Szyfelbein

We give a new framework for proving the existence of low-degree, polynomial approximators for Boolean functions with respect to broad classes of non-product distributions. Our proofs use techniques related to the classical moment problem…

计算复杂性 · 计算机科学 2013-01-07 Adam Klivans , Raghu Meka

The problem of detecting communities in a graph is maybe one the most studied inference problems, given its simplicity and widespread diffusion among several disciplines. A very common benchmark for this problem is the stochastic block…

机器学习 · 统计学 2016-04-08 Adel Javanmard , Andrea Montanari , Federico Ricci-Tersenghi

Popular approximate membership query structures such as Bloom filters and cuckoo filters are widely used in databases, security, and networking. These structures represent sets approximately, and support at least two operations - insert and…

数据结构与算法 · 计算机科学 2022-01-17 Jim Apple
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