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Invertible Bloom Filter (IBF) is a data structure, which employs a small set of hash functions. An IBF allows for an efficient insertion and, with high probability, for an efficient extraction of the data. However, the success probability…

Information Theory · Computer Science 2020-08-04 Ivo Kubjas , Vitaly Skachek

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

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

As users migrate information to cloud storage, many distributed cloud-based services use multiple loosely consistent replicas of user information to avoid the high overhead of more tightly coupled synchronization. Periodically, the…

Data Structures and Algorithms · Computer Science 2015-04-23 Michael Mitzenmacher , Rasmus Pagh

In this paper we discuss the problem of generically finding near-collisions for cryptographic hash functions in a memoryless way. A common approach is to truncate several output bits of the hash function and to look for collisions of this…

Cryptography and Security · Computer Science 2012-10-10 Mario Lamberger , Elmar Teufl

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 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

Modern data stream applications demand memory-efficient solutions for accurately tracking frequent items, such as heavy hitters and heavy changers, under strict resource constraints. Traditional sketches face inherent accuracy-memory…

Databases · Computer Science 2025-05-20 Zicang Xu , Yuxuan Tian , Yuhan Wu , Tong Yang

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

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

We consider the problem of reconstructing the symmetric difference between similar sets from their representations (sketches) of size linear in the number of differences. Exact solutions to this problem are based on error-correcting coding…

Data Structures and Algorithms · Computer Science 2024-04-16 Djamal Belazzougui , Gregory Kucherov , Stefan Walzer

Motivated by real-life deployments of multi-round federated analytics with secure aggregation, we investigate the fundamental communication-accuracy tradeoffs of the heavy hitter discovery and approximate (open-domain) histogram problems…

Data Structures and Algorithms · Computer Science 2023-07-26 Adria Gascon , Peter Kairouz , Ziteng Sun , Ananda Theertha Suresh

Hash tables are ubiquitous, and the choice of hash function, which maps a key to a bucket, is key to their performance. We argue that the predominant approach of fixing the hash function for the lifetime of the hash table is suboptimal and…

Data Structures and Algorithms · Computer Science 2026-02-09 Gábor Melis

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

In this work, we aim to study when learned models are better hash functions, particular for hash-maps. We use lightweight piece-wise linear models to replace the hash functions as they have small inference times and are sufficiently general…

Databases · Computer Science 2021-07-06 Ibrahim Sabek , Kapil Vaidya , Dominik Horn , Andreas Kipf , Tim Kraska

Set queries are fundamental operations in computer systems and applications.This paper addresses the fundamental problem of designing a probabilistic data structure that can quickly process set queries using a small amount of memory. We…

Data Structures and Algorithms · Computer Science 2016-03-23 Tong Yang , Alex X. Liu , Muhammad Shahzad , Yuankun Zhong , Qiaobin Fu , Zi Li , Gaogang Xie , Xiaoming Li

A hitting set for a collection of sets is a set that has a non-empty intersection with each set in the collection; the hitting set problem is to find a hitting set of minimum cardinality. Motivated by instances of the hitting set problem…

Data Structures and Algorithms · Computer Science 2011-02-09 Karthekeyan Chandrasekaran , Richard Karp , Erick Moreno-Centeno , Santosh Vempala

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

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
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