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First introduced in 1954, linear probing is one of the oldest data structures in computer science, and due to its unrivaled data locality, it continues to be one of the fastest hash tables in practice. It is widely believed and taught,…

Data Structures and Algorithms · Computer Science 2021-07-06 Michael A. Bender , Bradley C. Kuszmaul , William Kuszmaul

We describe a consistent hashing algorithm which performs multiple lookups per key in a hash table of nodes. It requires no additional storage beyond the hash table, and achieves a peak-to-average load ratio of 1 + epsilon with just 1 +…

Data Structures and Algorithms · Computer Science 2015-05-04 Ben Appleton , Michael O'Reilly

Despite being one of the oldest data structures in computer science, hash tables continue to be the focus of a great deal of both theoretical and empirical research. A central reason for this is that many of the fundamental properties that…

Data Structures and Algorithms · Computer Science 2023-10-24 Michael A. Bender , Alex Conway , Martín Farach-Colton , William Kuszmaul , Guido Tagliavini

Hash table search strategies have remained a pivotal area of inquiry in computer science over the past several decades. A prevailing viewpoint asserts that random probing stands as the optimal method for open-addressing hash tables.…

Data Structures and Algorithms · Computer Science 2025-03-24 Qiantong Wang

Robin Hood hashing is a variation on open addressing hashing designed to reduce the maximum search time as well as the variance in the search time for elements in the hash table. While the case of insertions only using Robin Hood hashing is…

Data Structures and Algorithms · Computer Science 2014-07-14 Michael Mitzenmacher

Hashing with linear probing dates back to the 1950s, and is among the most studied algorithms. In recent years it has become one of the most important hash table organizations since it uses the cache of modern computers very well.…

Data Structures and Algorithms · Computer Science 2007-05-23 Anna Pagh , Rasmus Pagh , Milan Ruzic

Given a set $S$ of $n$ keys, a perfect hash function for $S$ maps the keys in $S$ to the first $m \geq n$ integers without collisions. It may return an arbitrary result for any key not in $S$ and is called minimal if $m = n$. The most…

Data Structures and Algorithms · Computer Science 2026-02-06 Hans-Peter Lehmann , Thomas Mueller , Rasmus Pagh , Giulio Ermanno Pibiri , Peter Sanders , Sebastiano Vigna , Stefan Walzer

Random hashing can provide guarantees regarding the performance of data structures such as hash tables---even in an adversarial setting. Many existing families of hash functions are universal: given two data objects, the probability that…

Data Structures and Algorithms · Computer Science 2018-10-16 Dmytro Ivanchykhin , Sergey Ignatchenko , Daniel Lemire

We introduce linear probing hashing schemes that construct a hash table of size $n$, with constant load factor $\alpha$, on which the worst-case unsuccessful search time is asymptotically almost surely $O(\log \log n)$. The schemes employ…

Data Structures and Algorithms · Computer Science 2023-09-20 Ketan Dalal , Luc Devroye , Ebrahim Malalla

This paper considers the basic question of how strong of a probabilistic guarantee can a hash table, storing $n$ $(1 + \Theta(1)) \log n$-bit key/value pairs, offer? Past work on this question has been bottlenecked by limitations of the…

Data Structures and Algorithms · Computer Science 2022-09-19 William Kuszmaul

Deep hashing models have been proposed as an efficient method for large-scale similarity search. However, most existing deep hashing methods only utilize fine-level labels for training while ignoring the natural semantic hierarchy…

Computer Vision and Pattern Recognition · Computer Science 2021-06-23 Ming Zhang , Xuefei Zhe , Le Ou-Yang , Shifeng Chen , Hong Yan

Supervised hashing aims to map the original features to compact binary codes that are able to preserve label based similarity in the Hamming space. Non-linear hash functions have demonstrated the advantage over linear ones due to their…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Guosheng Lin , Chunhua Shen , Qinfeng Shi , Anton van den Hengel , David Suter

We present an efficient lock-free algorithm for parallel accessible hash tables with open addressing, which promises more robust performance and reliability than conventional lock-based implementations. ``Lock-free'' means that it is…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Hui Gao , Jan Friso Groote , Wim H. Hesselink

Consistent hashing is a technique for distributing data across a network of nodes in a way that minimizes reorganization when nodes join or leave the network. It is extensively applied in modern distributed systems as a fundamental…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-18 Massimo Coluzzi , Amos Brocco , Alessandro Antonucci , Tiziano Leidi

This paper proposes a general framework for adding linearizable iterators to a class of data structures that implement set operations. We introduce a condition on set operations, called local consistency, which informally states that set…

Data Structures and Algorithms · Computer Science 2018-03-02 Archita Agarwal , Zhiyu Liu , Eli Rosenthal , Vikram Saraph

A hash table is said to be open-addressed (or non-obliviously open-addressed) if it stores elements (and free slots) in an array with no additional metadata. Intuitively, open-addressed hash tables must incur a space-time tradeoff: The…

Data Structures and Algorithms · Computer Science 2025-03-19 Michael A. Bender , William Kuszmaul , Renfei Zhou

This paper presents an efficient wait-free resizable hash table. To achieve high throughput at large core counts, our algorithm is specifically designed to retain the natural parallelism of concurrent hashing, while providing wait-free…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-21 Panagiota Fatourou , Nikolaos D. Kallimanis , Thomas Ropars

In this paper we present a lock-free version of Hopscotch Hashing. Hopscotch Hashing is an open addressing algorithm originally proposed by Herlihy, Shavit, and Tzafrir, which is known for fast performance and excellent cache locality. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-11 Robert Kelly , Barak A. Pearlmutter , Phil Maguire

In this uncertain world, data uncertainty is inherent in many applications and its importance is growing drastically due to the rapid development of modern technologies. Nowadays, researchers have paid more attention to mine patterns in…

We present here new mechanisms for hashing data via binary embeddings. Contrary to most of the techniques presented before, the embedding matrix of our mechanism is highly structured. That enables us to perform hashing more efficiently and…

Data Structures and Algorithms · Computer Science 2015-05-14 Krzysztof Choromanski
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