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This article introduces a new optimization method to improve mergesort's runtime complexity, when sorting sequences that have equal keys to $O(n log_2 k)$, where $k$ is the number of distinct keys in the sequence. When $k$ is constant, it…

Data Structures and Algorithms · Computer Science 2020-12-17 Albert Tedja

The problem of dictionary matching is a classical problem in string matching: given a set S of d strings of total length n characters over an (not necessarily constant) alphabet of size sigma, build a data structure so that we can match in…

Data Structures and Algorithms · Computer Science 2015-05-18 Djamal Belazzougui

Hashing has been widely adopted for large-scale data retrieval in many domains, due to its low storage cost and high retrieval speed. Existing cross-modal hashing methods optimistically assume that the correspondence between training…

Machine Learning · Computer Science 2019-05-30 Xuanwu Liu , Jun Wang , Guoxian Yu , Carlotta Domeniconi , Xiangliang Zhang

This paper presents a new clustering algorithm for space-time data based on the concepts of topological data analysis and in particular, persistent homology. Employing persistent homology - a flexible mathematical tool from algebraic…

Machine Learning · Statistics 2019-10-28 Umar Islambekov , Yulia Gel

Load balancing is critical for distributed storage to meet strict service-level objectives (SLOs). It has been shown that a fast cache can guarantee load balancing for a clustered storage system. However, when the system scales out to…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-18 Zaoxing Liu , Zhihao Bai , Zhenming Liu , Xiaozhou Li , Changhoon Kim , Vladimir Braverman , Xin Jin , Ion Stoica

Hashing method maps similar data to binary hashcodes with smaller hamming distance, and it has received a broad attention due to its low storage cost and fast retrieval speed. However, the existing limitations make the present algorithms…

Computer Vision and Pattern Recognition · Computer Science 2016-09-29 Shifeng Zhang , Jianmin Li , Jinma Guo , Bo Zhang

One-time-pad (OTP) encryption simply cannot be cracked, even by a quantum computer. The need of sharing in a secure way supplies of symmetric random keys turned the method almost obsolete as a standing-alone method for fast and large volume…

Cryptography and Security · Computer Science 2015-07-10 Geraldo A. Barbosa , Jeroen van de Graaf

For obtaining optimal first-order convergence guarantee for stochastic optimization, it is necessary to use a recurrent data sampling algorithm that samples every data point with sufficient frequency. Most commonly used data sampling…

Optimization and Control · Mathematics 2024-07-23 William G. Powell , Hanbaek Lyu

Randomized algorithms and data structures are often analyzed under the assumption of access to a perfect source of randomness. The most fundamental metric used to measure how "random" a hash function or a random number generator is, is its…

Data Structures and Algorithms · Computer Science 2015-02-23 Mathias Bæk Tejs Knudsen , Morten Stöckel

Locality-sensitive hashing (LSH) has emerged as the dominant algorithmic technique for similarity search with strong performance guarantees in high-dimensional spaces. A drawback of traditional LSH schemes is that they may have \emph{false…

Databases · Computer Science 2016-08-22 Ninh Pham , Rasmus Pagh

Cuckoo hashing guarantees constant-time lookups regardless of table density, making it a viable candidate for high-density tables. Cuckoo hashing insertions perform poorly at high table densities, however. In this paper, we mitigate this…

Data Structures and Algorithms · Computer Science 2016-05-18 William Kuszmaul

Cuckoo hashing is a highly practical dynamic dictionary: it provides amortized constant insertion time, worst case constant deletion time and lookup time, and good memory utilization. However, with a noticeable probability during the…

Data Structures and Algorithms · Computer Science 2009-03-04 Yuriy Arbitman , Moni Naor , Gil Segev

We suggest a method for holding a dictionary data structure, which maps keys to values, in the spirit of Bloom Filters. The space requirements of the dictionary we suggest are much smaller than those of a hashtable. We allow storing n keys,…

Data Structures and Algorithms · Computer Science 2008-04-14 Ely Porat

A Perfect Hash Function (PHF) is a hash function that has no collisions on a given input set. PHFs can be used for space efficient storage of data in an array, or for determining a compact representative of each object in the set. In this…

Data Structures and Algorithms · Computer Science 2022-11-09 Hans-Peter Lehmann , Peter Sanders , Stefan Walzer

Quantum computing has evolved quickly in recent years and is showing significant benefits in a variety of fields, especially in the realm of cybersecurity. The combination of software used to locate the most frequent hashes and $n$-grams…

Quantum Physics · Physics 2022-05-09 Nicholas R. Allgood , Charles K. Nicholas

In empirical risk optimization, it has been observed that stochastic gradient implementations that rely on random reshuffling of the data achieve better performance than implementations that rely on sampling the data uniformly. Recent works…

Machine Learning · Computer Science 2019-01-30 Bicheng Ying , Kun Yuan , Stefan Vlaski , Ali H. Sayed

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

The probability Jaccard similarity was recently proposed as a natural generalization of the Jaccard similarity to measure the proximity of sets whose elements are associated with relative frequencies or probabilities. In combination with a…

Data Structures and Algorithms · Computer Science 2020-10-27 Otmar Ertl

Image hashing is a principled approximate nearest neighbor approach to find similar items to a query in a large collection of images. Hashing aims to learn a binary-output function that maps an image to a binary vector. For optimal…

Computer Vision and Pattern Recognition · Computer Science 2022-06-01 Khoa D. Doan , Peng Yang , Ping Li

Cuckoo hashing is a common hashing technique, guaranteeing constant-time lookups in the worst case. Adding a stash was proposed by Kirsch, Mitzenmacher, and Wieder at SICOMP 2010, as a way to reduce the probability of failure (i.e., the…

Data Structures and Algorithms · Computer Science 2023-01-03 Brice Minaud , Charalampos Papamanthou
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