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We consider invertible Bloom lookup tables (IBLTs) which are probabilistic data structures that allow to store keyvalue pairs. An IBLT supports insertion and deletion of key-value pairs, as well as the recovery of all key-value pairs that…

Information Theory · Computer Science 2021-07-07 Francisco Lázaro , Balázs Matuz

In this work we study Invertible Bloom Lookup Tables (IBLTs) with small failure probabilities. IBLTs are highly versatile data structures that have found applications in set reconciliation protocols, error-correcting codes, and even the…

Data Structures and Algorithms · Computer Science 2024-11-27 Nils Fleischhacker , Kasper Green Larsen , Maciej Obremski , Mark Simkin

These days, Key-Value Stores are widely used for scalable data storage. In this environment, Bloom filter (BF) serves as an efficient probabilistic data structure for representing sets of keys. They allow for set membership queries with no…

Data Structures and Algorithms · Computer Science 2025-12-16 Paul Walther , Wejdene Mansour , Johann Maximilian Zollner , Martin Werner

Imagine handling collisions in a hash table by storing, in each cell, the bit-wise exclusive-or of the set of keys hashing there. This appears to be a terrible idea: For $\alpha n$ keys and $n$ buckets, where $\alpha$ is constant, we expect…

Data Structures and Algorithms · Computer Science 2022-11-08 Jakob Bæk Tejs Houen , Rasmus Pagh , Stefan Walzer

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 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

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

The Invertible Bloom Lookup Tables (IBLT) is a data structure which supports insertion, deletion, retrieval and listing operations of the key-value pair. The IBLT can be used to realize efficient set reconciliation for database…

Information Theory · Computer Science 2015-06-12 Daichi Yugawa , Tadashi Wadayama

The Invertible Bloom Lookup Table (IBLT) is a probabilistic data structure for set representation, with applications in network and traffic monitoring. It is known for its ability to list its elements, an operation that succeeds with high…

Information Theory · Computer Science 2023-05-11 Daniella Bar-Lev , Avi Mizrahi , Tuvi Etzion , Ori Rottenstreich , Eitan Yaakobi

In this paper, we address the problem of sampling from a set and reconstructing a set stored as a Bloom filter. To the best of our knowledge our work is the first to address this question. We introduce a novel hierarchical data structure…

Data Structures and Algorithms · Computer Science 2019-05-15 Neha Sengupta , Amitabha Bagchi , Srikanta Bedathur , Maya Ramanath

We present a version of the Bloom filter data structure that supports not only the insertion, deletion, and lookup of key-value pairs, but also allows a complete listing of its contents with high probability, as long the number of key-value…

Data Structures and Algorithms · Computer Science 2015-10-06 Michael T. Goodrich , Michael Mitzenmacher

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

In this paper we compare two probabilistic data structures for association queries derived from the well-known Bloom filter: the shifting Bloom filter (ShBF), and the spatial Bloom filter (SBF). With respect to the original data structure,…

Data Structures and Algorithms · Computer Science 2022-05-06 Luca Calderoni , Dario Maio , Paolo Palmieri

We introduce the Deletable Bloom filter (DlBF) as a new spin on the popular data structure based on compactly encoding the information of where collisions happen when inserting elements. The DlBF design enables false-negative-free deletions…

Data Structures and Algorithms · Computer Science 2010-05-04 Christian Esteve Rothenberg , Carlos A. B. Macapuna , Fabio L. Verdi , Mauricio F. Magalhaes

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

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

We consider a set reconciliation setting in which two parties hold similar sets which they would like to reconcile In particular, we focus on set reconciliation based on invertible Bloom lookup tables (IBLTs), a probabilistic data structure…

Information Theory · Computer Science 2023-07-13 Francisco Lázaro , Balázs Matuz

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

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

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
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