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In a partitioned Bloom Filter the $m$ bit vector is split into $k$ disjoint $m/k$ sized parts, one per hash function. Contrary to hardware designs, where they prevail, software implementations mostly adopt standard Bloom filters,…

Data Structures and Algorithms · Computer Science 2022-11-10 Paulo Sérgio Almeida

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

Large data sets are increasingly common in cloud and virtualized environments. For example, transfers of multiple gigabytes are commonplace, as are replicated blocks of such sizes. There is a need for fast error-correction or data…

Data Structures and Algorithms · Computer Science 2015-03-20 Michael Mitzenmacher , George Varghese

Clustering points in a vector space or nodes in a graph is a ubiquitous primitive in statistical data analysis, and it is commonly used for exploratory data analysis. In practice, it is often of interest to "refine" or "improve" a given…

Machine Learning · Computer Science 2022-02-03 K. Fountoulakis , M. Liu , D. F. Gleich , M. W. Mahoney

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

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

Machine Learning · Computer Science 2019-01-07 Michael Mitzenmacher

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

Subspace clustering is the problem of clustering data that lie close to a union of linear subspaces. In the abstract form of the problem, where no noise or other corruptions are present, the data are assumed to lie in general position…

Computer Vision and Pattern Recognition · Computer Science 2020-02-13 Manolis C. Tsakiris , Rene Vidal

Set reconciliation protocols typically make two critical assumptions: they are designed for fixed-sized elements and they are optimized for when the difference cardinality, d, is very small. When adapting to variable-sized elements, the…

Data Structures and Algorithms · Computer Science 2025-11-03 Pedro Silva Gomes , Carlos Baquero

Subspace clustering aims to find groups of similar objects (clusters) that exist in lower dimensional subspaces from a high dimensional dataset. It has a wide range of applications, such as analysing high dimensional sensor data or DNA…

Machine Learning · Computer Science 2018-11-08 Minh Tuan Doan , Jianzhong Qi , Sutharshan Rajasegarar , Christopher Leckie

Bloom Filters are a space-efficient data structure used for the testing of membership in a set that errs only in the False Positive direction. However, the standard analysis that measures this False Positive rate provides a form of worst…

Data Structures and Algorithms · Computer Science 2024-02-06 Kahlil Dozier , Loqman Salamatian , Dan Rubenstein

We introduce bloomRF as a unified method for approximate membership testing that supports both point- and range-queries on a single data structure. bloomRF extends Bloom-Filters with range query support and may replace them. The core idea…

Databases · Computer Science 2021-01-01 Christian Riegger , Arthur Bernhardt , Bernhard Moessner , Ilia Petrov

One of the main challenges in data mining is choosing the optimal number of clusters without prior information. Notably, existing methods are usually in the philosophy of cluster validation and hence have underlying assumptions on data…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Ruilin Zhang , Haiyang Zheng , Hongpeng Wang

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

Dynamic Bloom filters (DBF) were proposed by Guo et. al. in 2010 to tackle the situation where the size of the set to be stored compactly is not known in advance or can change during the course of the application. We propose a novel…

Data Structures and Algorithms · Computer Science 2019-01-23 Sidharth Negi , Ameya Dubey , Amitabha Bagchi , Manish Yadav , Nishant Yadav , Jeetu Raj

Holistic analysis of many real-world problems are based on data collected from multiple sources contributing to some aspect of that problem. The word fusion has also been used in the literature for such problems involving disparate data…

Databases · Computer Science 2016-11-08 Abhishek Santra , Sanjukta Bhowmick , Sharma Chakravarthy

We introduce and address a novel distributed clustering problem where each participant has a private dataset containing only a subset of all available features, and some features are included in multiple datasets. This scenario occurs in…

Data Structures and Algorithms · Computer Science 2025-10-14 Alessio Maritan , Luca Schenato

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

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

Collaborative filtering is an effective recommendation approach in which the preference of a user on an item is predicted based on the preferences of other users with similar interests. A big challenge in using collaborative filtering…

Information Retrieval · Computer Science 2012-03-19 Yu Zhang , Bin Cao , Dit-Yan Yeung