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A filter is a widely used data structure for storing an approximation of a given set $S$ of elements from some universe $U$ (a countable set).It represents a superset $S'\supseteq S$ that is ''close to $S$'' in the sense that for $x\not\in…

Data Structures and Algorithms · Computer Science 2024-06-18 Ioana O. Bercea , Jakob Bæk Tejs Houen , Rasmus Pagh

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…

Data Structures and Algorithms · Computer Science 2016-03-04 Laura Carrea , Alexei Vernitski , Martin Reed

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

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…

Data Structures and Algorithms · Computer Science 2019-04-01 Ripon Patgiri , Sabuzima Nayak , Samir Kumar Borgohain

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…

Data Structures and Algorithms · Computer Science 2020-10-06 Kapil Vaidya , Eric Knorr , Tim Kraska , Michael Mitzenmacher

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

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

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

A Bloom filter is a space-efficient probabilistic data structure that represents a set $S$ of elements from a larger universe $U$. This efficiency comes with a trade-off, namely, it allows for a small chance of false positives. When you…

Cryptography and Security · Computer Science 2025-06-19 Hayder Tirmazi

The Bloom filter---or, more generally, an approximate membership query data structure (AMQ)---maintains a compact, probabilistic representation of a set S of keys from a universe U. An AMQ supports lookups, inserts, and (for some AMQs)…

Data Structures and Algorithms · Computer Science 2018-08-28 Michael A. Bender , Martin Farach-Colton , Mayank Goswami , Rob Johnson , Samuel McCauley , Shikha Singh

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

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…

Data Structures and Algorithms · Computer Science 2025-12-16 Paul Walther , Wejdene Mansour , Johann Maximilian Zollner , Martin Werner

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

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…

Databases · Computer Science 2025-08-14 Johanna Elena Schmitz , Jens Zentgraf , Sven Rahmann

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

Filters (such as Bloom Filters) are data structures that speed up network routing and measurement operations by storing a compressed representation of a set. Filters are space efficient, but can make bounded one-sided errors: with tunable…

Data Structures and Algorithms · Computer Science 2021-05-25 Tsvi Kopelowitz , Samuel McCauley , Ely Porat

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

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…

Data Structures and Algorithms · Computer Science 2022-01-17 Jim Apple

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

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
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