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A minimal perfect hash function (MPHF) maps a set $S$ of $n$ keys to the first $n$ integers without collisions. There is a lower bound of $n\log_2e-O(\log n)$ bits of space needed to represent an MPHF. A matching upper bound is obtained…

Data Structures and Algorithms · Computer Science 2023-11-14 Hans-Peter Lehmann , Peter Sanders , Stefan Walzer

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

The stabilization of a quantum computer by repeated error correction can be reduced almost entirely to repeated preparation of blocks of qubits in quantum codeword states. These are multi-particle entangled states with a high degree of…

Quantum Physics · Physics 2007-05-23 Andrew M. Steane

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

Filters are the basic and most important blocks of most signal processing applications. In many applications, a group of parallel filters are used as filter banks. Parallel filter banks naturally require much more computations. Especially…

Signal Processing · Electrical Eng. & Systems 2019-07-12 M. Tunç Arslan , Onur Yorulmaz , Erdinç L. Atılgan

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

A retrieval data structure stores a static function f : S -> {0,1}^r . For all x in S, it returns the r-bit value f(x), while for other inputs it may return an arbitrary result. The structure cannot answer membership queries, so it does not…

Data Structures and Algorithms · Computer Science 2024-11-20 Matthias Becht , Hans-Peter Lehmann , Peter Sanders

Ultra-large chemical libraries are reaching 10s to 100s of billions of molecules. A challenge for these libraries is to efficiently check if a proposed molecule is present. Here we propose and study Bloom filters for testing if a molecule…

Chemical Physics · Physics 2023-04-12 Jorge Medina , Andrew D White

We aim to speed up approximate keyword matching by storing a lightweight, fixed-size block of data for each string, called a fingerprint. These work in a similar way to hash values; however, they can be also used for matching with errors.…

Data Structures and Algorithms · Computer Science 2017-11-27 Aleksander Cisłak , Szymon Grabowski

Given a set $K$ of $n$ keys, a minimal perfect hash function (MPHF) is a collision-free bijective map $\mathsf{H_{mphf}}$ from $K$ to $\{0, \dots, n-1\}$. This work presents a (minimal) perfect hash function that first prioritizes query…

Data Structures and Algorithms · Computer Science 2026-02-05 Ragnar Groot Koerkamp

With the growing scale of big data, probabilistic structures receive increasing popularity for efficient approximate storage and query processing. For example, Bloom filters (BF) can achieve satisfactory performance for approximate…

Data Structures and Algorithms · Computer Science 2019-12-17 Yue Fu , Rong Du , Haibo Hu , Man Ho Au , Dagang Li

Priority queues are abstract data structures which store a set of key/value pairs and allow efficient access to the item with the minimal (maximal) key. Such queues are an important element in various areas of computer science such as…

Data Structures and Algorithms · Computer Science 2015-09-24 Jakob Gruber

Neural network pruning has remarkable performance for reducing the complexity of deep network models. Recent network pruning methods usually focused on removing unimportant or redundant filters in the network. In this paper, by exploring…

Machine Learning · Computer Science 2021-12-14 Yuanzhi Duan , Xiaofang Hu , Yue Zhou , Qiang Liu , Shukai Duan

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 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

Filter data structures are widely used in various areas of computer science to answer approximate set-membership queries. In many applications, the data grows dynamically, requiring their filters to expand along with the data. However,…

Databases · Computer Science 2024-11-01 Niv Dayan , Ioana-Oriana Bercea , Rasmus Pagh

Pruning has become a very powerful and effective technique to compress and accelerate modern neural networks. Existing pruning methods can be grouped into two categories: filter pruning (FP) and weight pruning (WP). FP wins at hardware…

Computer Vision and Pattern Recognition · Computer Science 2020-12-10 Fanxu Meng , Hao Cheng , Ke Li , Huixiang Luo , Xiaowei Guo , Guangming Lu , Xing Sun

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

A minimal perfect hash function (MPHF) maps a set S of n keys to the first n integers without collisions. There is a lower bound of n*log(e)=1.44n bits needed to represent an MPHF. This can be reached by a brute-force algorithm that tries…

Data Structures and Algorithms · Computer Science 2024-06-14 Hans-Peter Lehmann , Peter Sanders , Stefan Walzer

Context: Software has become an innovative solution nowadays for many applications and methods in science and engineering. Ensuring the quality and correctness of software is challenging because each program has different configurations and…

Software Engineering · Computer Science 2019-04-10 Bestoun S. Ahmed , Taib Sh. Abdulsamad , Moayad Y. Potrus