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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

Bloom and cuckoo filters provide fast approximate set membership while using little memory. Engineers use them to avoid expensive disk and network accesses. The recently introduced xor filters can be faster and smaller than Bloom and cuckoo…

Data Structures and Algorithms · Computer Science 2022-03-15 Thomas Mueller Graf , Daniel Lemire

Random access remains a central bottleneck in DNA-based data storage. Existing systems typically retrieve records by PCR enrichment or other multi-step biochemical procedures, which do not naturally support fast, massively parallel,…

Data Structures and Algorithms · Computer Science 2026-01-30 Faruk Alpay , Levent Sarioglu

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…

Data Structures and Algorithms · Computer Science 2022-11-02 Remy Scholler , Jean-Francois Couchot , Oumaima Alaoui-Ismaili , Denis Renaud , Eric Ballot

We introduce bloomRF as a unified method for approximate membership testing that supports both point- and range-queries. As a first core idea, bloomRF introduces novel prefix hashing to efficiently encode range information in the hash-code…

Databases · Computer Science 2022-07-25 Bernhard Mößner , Christian Riegger , Arthur Bernhardt , Ilia Petrov

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

Counting the frequencies of k-mers in read libraries is often a first step in the analysis of high-throughput sequencing experiments. Infrequent k-mers are assumed to be a result of sequencing errors. The frequent k-mers constitute a…

Genomics · Quantitative Biology 2013-05-09 Rajat Shuvro Roy , Debashish Bhattacharya , Alexander Schliep

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

Bloom filters are a fundamental data structure for approximate membership queries, with applications ranging from data analytics to databases and genomics. Several variants have been proposed to accommodate parallel architectures. GPUs,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-18 Daniel Jünger , Kevin Kristensen , Yunsong Wang , Xiangyao Yu , Bertil Schmidt

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

Two multivariate committee distributions are shown to belong to Berg's family of factorial series distributions and Kemp's family of generalized hypergeometric factorial moment distributions. Exact moment formulas, upper and lower bounds,…

Combinatorics · Mathematics 2019-08-15 Jonathan Burns

Control barrier functions (CBFs) have been widely used for synthesizing controllers in safety-critical applications. When used as a safety filter, it provides a simple and computationally efficient way to obtain safe controls from a…

Systems and Control · Electrical Eng. & Systems 2023-03-13 Bolun Dai , Heming Huang , Prashanth Krishnamurthy , Farshad Khorrami

Bloom filters are used in query processing to perform early data reduction and improve query performance. The optimal query plan may be different when Bloom filters are used, indicating the need for Bloom filter-aware query optimization. To…

Databases · Computer Science 2025-05-07 Tim Zeyl , Qi Cheng , Reza Pournaghi , Jason Lam , Weicheng Wang , Calvin Wong , Chong Chen , Per-Ake Larson

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

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

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

A quotient filter is a cache efficient AMQ data structure. Depending on the fill degree of the filter most insertions and queries only need to access one or two consecutive cache lines. This makes quotient filters fast compared to the more…

Data Structures and Algorithms · Computer Science 2019-11-20 Tobias Maier , Peter Sanders , Robert Williger

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

Gene sequence search is a fundamental operation in computational genomics. Due to the petabyte scale of genome archives, most gene search systems now use hashing-based data structures such as Bloom Filters (BF). The state-of-the-art systems…

Information Retrieval · Computer Science 2024-06-24 Aditya Desai , Gaurav Gupta , Tianyi Zhang , Anshumali Shrivastava

Multiple Set Membership Testing (MSMT) is a well-known problem in a variety of search and query applications. Given a dataset of K different sets and a query q, it aims to find all of the sets containing the query. Trivially, an MSMT…

Data Structures and Algorithms · Computer Science 2020-07-21 Gaurav Gupta , Minghao Yan , Benjamin Coleman , R. A. Leo Elworth , Tharun Medini , Todd Treangen , Anshumali Shrivastava