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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

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

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,…

Data Structures and Algorithms · Computer Science 2022-05-06 Luca Calderoni , Dario Maio , Paolo Palmieri

Invertible Bloom Filter (IBF) is a data structure, which employs a small set of hash functions. An IBF allows for an efficient insertion and, with high probability, for an efficient extraction of the data. However, the success probability…

Information Theory · Computer Science 2020-08-04 Ivo Kubjas , Vitaly Skachek

A Bloom filter is a memory-efficient data structure for approximate membership queries used in numerous fields of computer science. Recently, learned Bloom filters that achieve better memory efficiency using machine learning models have…

Data Structures and Algorithms · Computer Science 2023-10-31 Atsuki Sato , Yusuke Matsui

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

A Bloom filter is a widely used data-structure for representing a set $S$ and answering queries of the form "Is $x$ in $S$?". By allowing some false positive answers (saying "yes" when the answer is in fact `no') Bloom filters use space…

Data Structures and Algorithms · Computer Science 2016-11-03 Mayank Goswami , Rasmus Pagh , Francesco Silvestri , Johan Sivertsen

Today is the era of smart devices. Through the smart devices, people remain connected with systems across the globe even in mobile state. Hence, the current Internet is facing scalability issue. Therefore, leaving IP based Internet behind…

Networking and Internet Architecture · Computer Science 2020-05-15 Sabuzima Nayak , Ripon Patgiri , Angana Borah

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

Bloom filter is a widely used classic data structure for approximate membership queries. Learned Bloom filters improve memory efficiency by leveraging machine learning, with the partitioned learned Bloom filter (PLBF) being among the most…

Data Structures and Algorithms · Computer Science 2024-10-18 Atsuki Sato , Yusuke Matsui

Bloom filter is a space-efficient probabilistic data structure for checking elements' membership in a set. Given multiple sets, however, a standard Bloom filter is not sufficient when looking for the items to which an element or a set of…

Data Structures and Algorithms · Computer Science 2019-01-14 Francesco Concas , Pengfei Xu , Mohammad A. Hoque , Jiaheng Lu , Sasu Tarkoma

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

Bloom filters (BF) are widely used for approximate membership queries over a set of elements. BF variants allow removals, sets of unbounded size or querying a sliding window over an unbounded stream. However, for this last case the best…

Data Structures and Algorithms · Computer Science 2020-01-10 Ariel Shtul , Carlos Baquero , Paulo Sérgio Almeida

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

Many applications of approximate membership query data structures, or filters, require only an incremental filter that supports insertions but not deletions. However, the design space of incremental filters is missing a "sweet spot" filter…

Data Structures and Algorithms · Computer Science 2022-10-26 Tomer Even , Guy Even , Adam Morrison

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

Applications involving telecommunication call data records, web pages, online transactions, medical records, stock markets, climate warning systems, etc., necessitate efficient management and processing of such massively exponential amount…

Information Retrieval · Computer Science 2012-12-18 Suman K. Bera , Sourav Dutta , Ankur Narang , Souvik Bhattacherjee

Learned Bloom Filters, i.e., models induced from data via machine learning techniques and solving the approximate set membership problem, have recently been introduced with the aim of enhancing the performance of standard Bloom Filters,…

Machine Learning · Computer Science 2022-11-29 Dario Malchiodi , Davide Raimondi , Giacomo Fumagalli , Raffaele Giancarlo , Marco Frasca

Recent work suggests improving the performance of Bloom filter by incorporating a machine learning model as a binary classifier. However, such learned Bloom filter does not take full advantage of the predicted probability scores. We…

Data Structures and Algorithms · Computer Science 2019-10-22 Zhenwei Dai , Anshumali Shrivastava

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