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Related papers: Support Optimality and Adaptive Cuckoo Filters

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Filter data structures over-approximate a set of hashable keys, i.e. set membership queries may incorrectly come out positive. A filter with false positive rate $f \in (0,1]$ is known to require $\ge \log_2(1/f)$ bits per key. At least for…

Data Structures and Algorithms · Computer Science 2021-03-09 Peter C. Dillinger , Stefan Walzer

The performance of a dynamic dictionary is measured mainly by its update time, lookup time, and space consumption. In terms of update time and lookup time there are known constructions that guarantee constant-time operations in the worst…

Data Structures and Algorithms · Computer Science 2015-03-13 Yuriy Arbitman , Moni Naor , Gil Segev

Negative sampling is essential for implicit-feedback-based collaborative filtering, which is used to constitute negative signals from massive unlabeled data to guide supervised learning. The state-of-the-art idea is to utilize hard negative…

Information Retrieval · Computer Science 2023-08-14 Yuhan Zhao , Rui Chen , Riwei Lai , Qilong Han , Hongtao Song , Li Chen

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

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

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

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

Adaptive filters are at the core of many signal processing applications, ranging from acoustic noise supression to echo cancelation, array beamforming, channel equalization, to more recent sensor network applications in surveillance, target…

Systems and Control · Electrical Eng. & Systems 2021-12-24 Jerónimo Arenas-García , Luis A. Azpicueta-Ruiz , Magno T. M. Silva , Vitor H. Nascimento , Ali H. Sayed

We show that, under a standard hardness assumption, there is no computationally efficient algorithm that given $n$ samples from an unknown distribution can give valid answers to $n^{3+o(1)}$ adaptively chosen statistical queries. A…

Machine Learning · Computer Science 2014-08-08 Moritz Hardt , Jonathan Ullman

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

Duplicate detection is the problem of identifying whether a given item has previously appeared in a (possibly infinite) stream of data, when only a limited amount of memory is available. Unfortunately the infinite stream setting is…

Data Structures and Algorithms · Computer Science 2020-05-12 Rémi Géraud-Stewart , Marius Lombard-Platet , David Naccache

In this paper, we study the static cell probe complexity of non-adaptive data structures that maintain a subset of $n$ points from a universe consisting of $m=n^{1+\Omega(1)}$ points. A data structure is defined to be non-adaptive when the…

Data Structures and Algorithms · Computer Science 2024-04-19 Giuseppe Persiano , Kevin Yeo

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 study the security of Probabilistic Data Structures (PDS) for handling Approximate Membership Queries (AMQ); prominent examples of AMQ-PDS are Bloom and Cuckoo filters. AMQ-PDS are increasingly being deployed in environments where…

Cryptography and Security · Computer Science 2022-09-16 Mia Filić , Kenneth G. Paterson , Anupama Unnikrishnan , Fernando Virdia

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

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

Bloom filter (BF) has been widely used to support membership query, i.e., to judge whether a given element x is a member of a given set S or not. Recent years have seen a flourish design explosion of BF due to its characteristic of…

Data Structures and Algorithms · Computer Science 2019-01-08 Lailong Luo , Deke Guo , Richard T. B. Ma , Ori Rottenstreich , Xueshan Luo

A dynamic dictionary is a data structure that maintains sets of cardinality at most $n$ from a given universe and supports insertions, deletions, and membership queries. A filter approximates membership queries with a one-sided error that…

Data Structures and Algorithms · Computer Science 2020-06-23 Ioana Oriana Bercea , Guy Even

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

Recent studies have demonstrated that learned Bloom filters, which combine machine learning with the classical Bloom filter, can achieve superior memory efficiency. However, existing learned Bloom filters face two critical unresolved…

Data Structures and Algorithms · Computer Science 2025-02-07 Atsuki Sato , Yusuke Matsui