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A Bloom filter is a simple data structure supporting membership queries on a set. The standard Bloom filter does not support the delete operation, therefore, many applications use a counting Bloom filter to enable deletion. This paper…

Data Structures and Algorithms · Computer Science 2019-08-13 Denis Kleyko , Abbas Rahimi , Ross W. Gayler , Evgeny Osipov

Filters are fast, small and approximate set membership data structures. They are often used to filter out expensive accesses to a remote set S for negative queries (that is, a query x not in S). Filters have one-sided errors: on a negative…

Data Structures and Algorithms · Computer Science 2021-07-08 David J. Lee , Samuel McCauley , Shikha Singh , Max Stein

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

We present a version of the Bloom filter data structure that supports not only the insertion, deletion, and lookup of key-value pairs, but also allows a complete listing of its contents with high probability, as long the number of key-value…

Data Structures and Algorithms · Computer Science 2015-10-06 Michael T. Goodrich , Michael Mitzenmacher

This paper presents new alternatives to the well-known Bloom filter data structure. The Bloom filter, a compact data structure supporting set insertion and membership queries, has found wide application in databases, storage systems, and…

Bloom filter is a compact memory-efficient probabilistic data structure supporting membership testing, i.e., to check whether an element is in a given set. However, as Bloom filter maps each element with uniformly random hash functions, few…

Databases · Computer Science 2021-06-15 Rongbiao Xie , Meng Li , Zheyu Miao , Rong Gu , He Huang , Haipeng Dai , Guihai Chen

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,…

Data Structures and Algorithms · Computer Science 2010-01-20 Christian Esteve Rothenberg , Carlos A. Macapuna , Fabio L. Verdi , Mauricio F. Magalhaes , Alexander Wiesmaier

Filters such as Bloom, quotient, and cuckoo filters are fundamental building blocks providing space-efficient approximate set membership testing. However, many applications need to associate small values with keys-functionality that filters…

Data Structures and Algorithms · Computer Science 2025-10-08 Michael A. Bender , Alex Conway , Martín Farach-Colton , Rob Johnson , Prashant Pandey

The Bloom filter provides fast approximate set membership while using little memory. Engineers often use these filters to avoid slow operations such as disk or network accesses. As an alternative, a cuckoo filter may need less space than a…

Data Structures and Algorithms · Computer Science 2020-10-12 Thomas Mueller Graf , Daniel Lemire

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

Adaptive filters, such as telescoping and adaptive cuckoo filters, update their representation upon detecting a false positive to avoid repeating the same error in the future. Adaptive filters require an auxiliary structure, typically much…

Data Structures and Algorithms · Computer Science 2024-05-17 Richard Wen , Hunter McCoy , David Tench , Guido Tagliavini , Michael A. Bender , Alex Conway , Martin Farach-Colton , Rob Johnson , Prashant Pandey

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

Dynamic Bloom filters (DBF) were proposed by Guo et. al. in 2010 to tackle the situation where the size of the set to be stored compactly is not known in advance or can change during the course of the application. We propose a novel…

Data Structures and Algorithms · Computer Science 2019-01-23 Sidharth Negi , Ameya Dubey , Amitabha Bagchi , Manish Yadav , Nishant Yadav , Jeetu Raj

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…

Data Structures and Algorithms · Computer Science 2024-02-06 Kahlil Dozier , Loqman Salamatian , Dan Rubenstein

The membership problem asks to maintain a set $S\subseteq[u]$, supporting insertions and membership queries, i.e., testing if a given element is in the set. A data structure that computes exact answers is called a dictionary. When a (small)…

Data Structures and Algorithms · Computer Science 2020-04-28 Mingmou Liu , Yitong Yin , Huacheng Yu

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…

Data Structures and Algorithms · Computer Science 2021-06-09 Sabuzima Nayak , Ripon Patgiri

A Bloom filter is a space efficient structure for storing static sets, where the space efficiency is gained at the expense of a small probability of false-positives. A Bloomier filter generalizes a Bloom filter to compactly store a function…

Data Structures and Algorithms · Computer Science 2008-07-08 Denis Charles , Kumar Chellapilla

We study the security of Probabilistic Data Structures (PDS) for handling Approximate Membership Queries (AMQ); prominent examples of AMQ-PDS are Bloom and Cuckoo filters. AMQ-PDS are increasingly being deployed in environments where…

Cryptography and Security · Computer Science 2022-09-16 Mia Filić , Kenneth G. Paterson , Anupama Unnikrishnan , Fernando Virdia

In a partitioned Bloom Filter the $m$ bit vector is split into $k$ disjoint $m/k$ sized parts, one per hash function. Contrary to hardware designs, where they prevail, software implementations mostly adopt standard Bloom filters,…

Data Structures and Algorithms · Computer Science 2022-11-10 Paulo Sérgio Almeida

Big Data is the most popular emerging trends that becomes a blessing for human kinds and it is the necessity of day-to-day life. For example, Facebook. Every person involves with producing data either directly or indirectly. Thus, Big Data…

Databases · Computer Science 2019-03-18 Ripon Patgiri , Sabuzima Nayak , Samir Kumar Borgohain