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Modern hash table designs strive to minimize space while maximizing speed. The most important factor in speed is the number of cache lines accessed during updates and queries. This is especially important on PMEM, which is slower than DRAM…

Data Structures and Algorithms · Computer Science 2022-10-13 Prashant Pandey , Michael A. Bender , Alex Conway , Martín Farach-Colton , William Kuszmaul , Guido Tagliavini , Rob Johnson

For nearly six decades, the central open question in the study of hash tables has been to determine the optimal achievable tradeoff curve between time and space. State-of-the-art hash tables offer the following guarantee: If keys/values are…

Data Structures and Algorithms · Computer Science 2021-11-05 Michael A. Bender , Martín Farach-Colton , John Kuszmaul , William Kuszmaul , Mingmou Liu

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

Consistent hashing is a technique that can minimize key remapping when the number of hash buckets changes. The paper proposes a fast consistent hash algorithm (called power consistent hash) that has $O(1)$ expected time for key lookup,…

Data Structures and Algorithms · Computer Science 2023-12-29 Eric Leu

Given a specified average load factor, hash tables offer the appeal of constant time lookup operations. However, hash tables could face severe hash collisions because of malicious attacks, buggy applications, or even bursts of incoming…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-02 Junchang Wang , Xiong Fu , Fu Xiao , Chen Tian

Most cloud services and distributed applications rely on hashing algorithms that allow dynamic scaling of a robust and efficient hash table. Examples include AWS, Google Cloud and BitTorrent. Consistent and rendezvous hashing are algorithms…

Data Structures and Algorithms · Computer Science 2022-05-17 Mike Heddes , Igor Nunes , Tony Givargis , Alexandru Nicolau , Alex Veidenbaum

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

Hash tables are one of the most fundamental data structures in computer science, in both theory and practice. They are especially useful in external memory, where their query performance approaches the ideal cost of just one disk access.…

Data Structures and Algorithms · Computer Science 2008-11-20 Zhewei Wei , Ke Yi , Qin Zhang

Feature hashing, also known as {\em the hashing trick}, introduced by Weinberger et al. (2009), is one of the key techniques used in scaling-up machine learning algorithms. Loosely speaking, feature hashing uses a random sparse projection…

Machine Learning · Computer Science 2018-05-23 Casper Benjamin Freksen , Lior Kamma , Kasper Green Larsen

We consider space efficient hash tables that can grow and shrink dynamically and are always highly space efficient, i.e., their space consumption is always close to the lower bound even while growing and when taking into account storage…

Data Structures and Algorithms · Computer Science 2017-05-03 Tobias Maier , Peter Sanders

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

The study of hashing is closely related to the analysis of balls and bins. It is well-known that instead of using a single hash function if we randomly hash a ball into two bins and place it in the smaller of the two, then this dramatically…

Data Structures and Algorithms · Computer Science 2007-05-23 Rina Panigrahy

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

We introduce a classical open-addressed hash table, called rainbow hashing, that supports a load factor of up to $1 - \varepsilon$, while also supporting $O(1)$ expected-time queries, and $O(\log \log \varepsilon^{-1})$ expected-time…

Data Structures and Algorithms · Computer Science 2024-09-18 Michael A. Bender , William Kuszmaul , Renfei Zhou

Hashing is a common technique used in data processing, with a strong impact on the time and resources spent on computation. Hashing also affects the applicability of theoretical results that often assume access to (unrealistic)…

Data Structures and Algorithms · Computer Science 2023-09-29 Ioana O. Bercea , Lorenzo Beretta , Jonas Klausen , Jakob Bæk Tejs Houen , Mikkel Thorup

Concurrent hash tables are one of the most important concurrent data structures with numerous applications. Since hash table accesses can dominate the execution time of the overall application, we need implementations that achieve good…

Data Structures and Algorithms · Computer Science 2016-09-07 Tobias Maier , Peter Sanders , Roman Dementiev

Hash tables are essential building blocks in data-intensive applications, yet existing GPU implementations often struggle with concurrent updates, high load factors, and irregular memory access patterns. We present Hive hash table, a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-20 Md Sabbir Hossain Polak , David Troendle , Byunghyun Jang

Consistent hashing (CH) is a central building block in many networking applications, from datacenter load-balancing to distributed storage. Unfortunately, state-of-the-art CH solutions cannot ensure full consistency under arbitrary changes…

Data Structures and Algorithms · Computer Science 2020-11-24 Gal Mendelson , Shay Vargaftik , Katherine Barabash , Dean Lorenz , Isaac Keslassy , Ariel Orda

Previous work on tabulation hashing by Patrascu and Thorup from STOC'11 on simple tabulation and from SODA'13 on twisted tabulation offered Chernoff-style concentration bounds on hash based sums, e.g., the number of balls/keys hashing to a…

Data Structures and Algorithms · Computer Science 2020-08-11 Anders Aamand , Jakob B. T. Knudsen , Mathias B. T. Knudsen , Peter M. R. Rasmussen , Mikkel Thorup

Randomized algorithms are often enjoyed for their simplicity, but the hash functions employed to yield the desired probabilistic guarantees are often too complicated to be practical. Here we survey recent results on how simple hashing…

Data Structures and Algorithms · Computer Science 2017-01-04 Mikkel Thorup
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