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In the first part of this survey, we review how the power of two choices underlies space-efficient data structures like cuckoo hash tables. We'll find that the additional power afforded by more than 2 choices is often outweighed by the…

Data Structures and Algorithms · Computer Science 2023-07-04 Stefan Walzer

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

Increasing amounts of available data have led to a heightened need for representing large-scale probabilistic knowledge bases. One approach is to use a probabilistic database, a model with strong assumptions that allow for efficiently…

Artificial Intelligence · Computer Science 2019-04-04 Tal Friedman , Guy Van den Broeck

Bloom Filter is extensively deployed data structure in various applications and research domain since its inception. Bloom Filter is able to reduce the space consumption in an order of magnitude. Thus, Bloom Filter is used to keep…

Data Structures and Algorithms · Computer Science 2019-03-18 Ripon Patgiri , Sabuzima Nayak , Samir Kumar Borgohain

Consider graphs of n nodes, and use a Bloom filter of length 2 log3 n bits. An edge between nodes i and j, with i < j, turns on a certain bit of the Bloom filter according to a hash function on i and j. Pick a set of log n nodes and turn on…

Computational Complexity · Computer Science 2025-08-05 Shlomi Dolev

Data structures that realize a dictionary are characterized by three basic instructions: (1) Insert (a new entry <key,value>). (2) Search by a key, returning the associated value. (3) Delete an entry. Known realizations are hashing schemes…

Logic · Mathematics 2016-09-06 Josef Schoenbrunner

A dictionary (or map) is a key-value store that requires all keys be unique, and a multimap is a key-value store that allows for multiple values to be associated with the same key. We design hashing-based indexing schemes for dictionaries…

Data Structures and Algorithms · Computer Science 2011-07-25 Michael T. Goodrich , Daniel S. Hirschberg , Michael Mitzenmacher , Justin Thaler

This paper presents a novel method for efficient image retrieval, based on a simple and effective hashing of CNN features and the use of an indexing structure based on Bloom filters. These filters are used as gatekeepers for the database of…

Multimedia · Computer Science 2016-05-04 Andrea Salvi , Simone Ercoli , Marco Bertini , Alberto Del Bimbo

This paper introduces CuCoTrack, a cuckoo hash based data structure designed to efficiently implement connection tracking. The proposed scheme exploits the fact that queries always match one existing connection to compress the 5-tuple that…

Data Structures and Algorithms · Computer Science 2018-06-12 Pedro Reviriego , Salvatore Pontarelli , Gil Levy

A retrieval data structure for a static function $f:S\rightarrow \{0,1\}^r$ supports queries that return $f(x)$ for any $x \in S$. Retrieval data structures can be used to implement a static approximate membership query data structure…

Data Structures and Algorithms · Computer Science 2022-02-08 Peter C. Dillinger , Lorenz Hübschle-Schneider , Peter Sanders , Stefan Walzer

The paradigm of many choices has influenced significantly the design of efficient data structures and, most notably, hash tables. Cuckoo hashing is a technique that extends this concept. There,we are given a table with $n$ locations, and we…

Data Structures and Algorithms · Computer Science 2009-10-28 Nikolaos Fountoulakis , Konstantinos Panagiotou

A $d$-ary cuckoo hash table is an open-addressed hash table that stores each key $x$ in one of $d$ random positions $h_1(x), h_2(x), \ldots, h_d(x)$. In the offline setting, where all items are given and keys need only be matched to…

Data Structures and Algorithms · Computer Science 2025-01-07 William Kuszmaul , Michael Mitzenmacher

Cuckoo hashing with a stash is a robust multiple choice hashing scheme with high memory utilization that can be used in many network device applications. Unfortunately, for memory loads beyond 0.5, little is known on its performance. In…

Data Structures and Algorithms · Computer Science 2011-08-10 Yossi Kanizo , David Hay , Isaac Keslassy

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 Bloom filter is a memory-efficient data structure for approximate membership queries used in numerous fields of computer science. Recently, learned Bloom filters that achieve better memory efficiency using machine learning models have…

Data Structures and Algorithms · Computer Science 2023-10-31 Atsuki Sato , Yusuke Matsui

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

We consider the problem of succinctly encoding a static map to support approximate queries. We derive upper and lower bounds on the space requirements in terms of the error rate and the entropy of the distribution of values over keys: our…

Data Structures and Algorithms · Computer Science 2007-10-18 David Talbot , John Talbot

While existing social networking services tend to connect people who know each other, people show a desire to also connect to yet unknown people in physical proximity. Existing research shows that people tend to connect to similar people.…

Social and Information Networks · Computer Science 2019-06-10 Felix Beierle

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

We settle the question of tight thresholds for offline cuckoo hashing. The problem can be stated as follows: we have n keys to be hashed into m buckets each capable of holding a single key. Each key has k >= 3 (distinct) associated buckets…

Data Structures and Algorithms · Computer Science 2010-12-22 Martin Dietzfelbinger , Andreas Goerdt , Michael Mitzenmacher , Andrea Montanari , Rasmus Pagh , Michael Rink
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