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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

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

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

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

We suggest a method for holding a dictionary data structure, which maps keys to values, in the spirit of Bloom Filters. The space requirements of the dictionary we suggest are much smaller than those of a hashtable. We allow storing n keys,…

Data Structures and Algorithms · Computer Science 2008-04-14 Ely Porat

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

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

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

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

The sliding window model of computation captures scenarios in which data is arriving continuously, but only the latest $w$ elements should be used for analysis. The goal is to design algorithms that update the solution efficiently with each…

Data Structures and Algorithms · Computer Science 2020-10-26 Michele Borassi , Alessandro Epasto , Silvio Lattanzi , Sergei Vassilvitskii , Morteza Zadimoghaddam

There has been a recent trend in training neural networks to replace data structures that have been crafted by hand, with an aim for faster execution, better accuracy, or greater compression. In this setting, a neural data structure is…

Machine Learning · Computer Science 2019-06-12 Jack W Rae , Sergey Bartunov , Timothy P Lillicrap

This paper presents a novel method for efficient image retrieval, based on a simple and effective hashing of CNN features and the use of an indexing structure based on Bloom filters. These filters are used as gatekeepers for the database of…

Multimedia · Computer Science 2016-05-04 Andrea Salvi , Simone Ercoli , Marco Bertini , Alberto Del Bimbo

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

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

We present a method that uses a Bloom filter transform to preprocess data for machine learning. Each sample is encoded into a compact bit-array representation using hash-based encoding, producing a fixed-length feature space that reduces…

Machine Learning · Computer Science 2026-05-11 John Cartmell , Mihaela Cardei , Ionut Cardei

Bloom Filters are a fundamental and pervasive data structure. Within the growing area of Learned Data Structures, several Learned versions of Bloom Filters have been considered, yielding advantages over classic Filters. Each of them uses a…

Machine Learning · Computer Science 2021-12-14 Giacomo Fumagalli , Davide Raimondi , Raffaele Giancarlo , Dario Malchiodi , Marco Frasca

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

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

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

Modern key-value stores rely heavily on Log-Structured Merge (LSM) trees for write optimization, but this design introduces significant read amplification. Auxiliary structures like Bloom filters help, but impose memory costs that scale…

Data Structures and Algorithms · Computer Science 2025-08-05 Nicholas Fidalgo , Puyuan Ye