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In this paper, we present an implementation of a cuckoo filter for membership testing, optimized for distributed data stores operating in high workloads. In large databases, querying becomes inefficient using traditional search methods. To…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-30 Aman Khalid

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

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

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

Boolean matrix factorization (BMF) approximates a given binary input matrix as the product of two smaller binary factors. Unlike binary matrix factorization based on standard arithmetic, BMF employs the Boolean OR and AND operations for the…

Information Retrieval · Computer Science 2025-12-05 Christos Kolomvakis , Thomas Bobille , Arnaud Vandaele , Nicolas Gillis

Multi-relational clustering is a challenging task due to the fact that diverse semantic information conveyed in multi-layer graphs is difficult to extract and fuse. Recent methods integrate topology structure and node attribute information…

Machine Learning · Computer Science 2023-12-22 Xiaowei Qian , Bingheng Li , Zhao Kang

Privacy-preserving record linkage with Bloom filters has become increasingly popular in medical applications, since Bloom filters allow for probabilistic linkage of sensitive personal data. However, since evidence indicates that Bloom…

Cryptography and Security · Computer Science 2014-10-27 Martin Kroll , Simone Steinmetzer

This paper presents an exploration, implementations, and revisions of probabilistic sets and maps, specifically focusing on Bloomier filters and related data structures. The paper introduces the Fuse XORier Lookup Table (FXLT), an enhanced…

Data Structures and Algorithms · Computer Science 2023-12-22 Eric Breyer , Alan Liu

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

Collaborative filtering is an important technique for recommendation. Whereas it has been repeatedly shown to be effective in previous work, its performance remains unsatisfactory in many real-world applications, especially those where the…

Information Retrieval · Computer Science 2018-08-15 Zhiyu Min , Dahua Lin

Ordered set (and map) is one of the most used data type. In addition to standard set operations, like insert, delete and contains, it can provide set-set operations such as union, intersection, and difference. Each of these set-set…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-13 Vitaly Aksenov , Ilya Kokorin , Alena Martsenyuk

The Invertible Bloom Lookup Table (IBLT) is a probabilistic concise data structure for set representation that supports a listing operation as the recovery of the elements in the represented set. Its applications can be found in network…

Information Theory · Computer Science 2022-12-29 Avi Mizrahi , Daniella Bar-Lev , Eitan Yaakobi , Ori Rottenstreich

Demand for enterprise data warehouse solutions to support real-time Online Transaction Processing (OLTP) queries as well as long-running Online Analytical Processing (OLAP) workloads is growing. Greenplum database is traditionally known as…

Some transformer attention heads appear to function as membership testers, dedicating themselves to answering the question "has this token appeared before in the context?" We identify these heads across four language models (GPT-2 small,…

Machine Learning · Computer Science 2026-02-20 Peter Balogh

Boolean Matrix Factorization (BMF) aims to find an approximation of a given binary matrix as the Boolean product of two low-rank binary matrices. Binary data is ubiquitous in many fields, and representing data by binary matrices is common…

Machine Learning · Computer Science 2022-07-26 Fedor Fomin , Fahad Panolan , Anurag Patil , Adil Tanveer

We extend the idea of word pieces in natural language models to machine learning tasks on opaque ids. This is achieved by applying hash functions to map each id to multiple hash tokens in a much smaller space, similarly to a Bloom filter.…

Machine Learning · Computer Science 2020-02-13 John Anderson , Qingqing Huang , Walid Krichene , Steffen Rendle , Li Zhang

As secure processors such as Intel SGX (with hyperthreading) become widely adopted, there is a growing appetite for private analytics on big data. Most prior works on data-oblivious algorithms adopt the classical PRAM model to capture…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-01 Vijaya Ramachandran , Elaine Shi

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

Recent work has suggested enhancing Bloom filters by using a pre-filter, based on applying machine learning to model the data set the Bloom filter is meant to represent. Here we model such learned Bloom filters, clarifying what guarantees…

Data Structures and Algorithms · Computer Science 2018-02-06 Michael Mitzenmacher

This paper introduces an Enhanced Boolean version of the Correlation Matrix Memory (CMM), which is useful to work with binary memories. A novel Boolean Orthonormalization Process (BOP) is presented to convert a non-orthonormal Boolean…

Neural and Evolutionary Computing · Computer Science 2016-07-15 Mario Mastriani