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Pseudo-random number generators (PRNGs) are widely used in modern computing and are expected to exhibit excellent statistical performance and repeatability. This study evaluates and compares modern PRNGs used in high performance computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Théau Wartel , David R. C. Hill

Quality randomness is fundamental to cryptographic operations but on embedded systems good sources are (seemingly) hard to find. Rather than use expensive custom hardware, our ERHARD-RNG Pseudo-Random Number Generator (PRNG) utilizes…

Cryptography and Security · Computer Science 2019-11-12 Jacob Grycel , Robert J. Walls

The training phases of Deep neural network~(DNN) consumes enormous processing time and energy. Compression techniques utilizing the sparsity of DNNs can effectively accelerate the inference phase of DNNs. However, it can be hardly used in…

Machine Learning · Computer Science 2018-12-17 Zhuoran Song , Ru Wang , Dongyu Ru , Hongru Huang , Zhenghao Peng , Jing Ke , Xiaoyao Liang , Li Jiang

Emergence of stochastic simulations as an extensively used computational tool for scientific purposes intensified the need for more accurate ways of generating sufficiently long sequences of uncorrelated random numbers. Even though several…

Mathematical Software · Computer Science 2014-08-14 Ayse Ferhan Yesil , M. Cemal Yalabik

The ever-increasing need for random numbers is clear in many areas of computer science, from neural networks to optimization. As such, most common programming language provide easy access to Pseudorandom Number Generators. However, these…

Programming Languages · Computer Science 2021-09-28 Nils van den Honert , Diederick Vermetten , Anna V. Kononova

A generic rectangulation is a partition of a rectangle into finitely many interior-disjoint rectangles, such that no four rectangles meet in a point. In this work we present a versatile algorithmic framework for exhaustively generating a…

Combinatorics · Mathematics 2021-11-02 Arturo Merino , Torsten Mütze

In this note, we develop a novel algorithm for generating random numbers from a distribution with a probability density function proportional to $\sin^k(x)$, $x \in (0,\pi)$ and $k \geq 1$. Our algorithm is highly efficient and is based on…

Computation · Statistics 2018-11-22 Enes Makalic , Daniel F. Schmidt

Emerging communication and cryptography applications call for reliable, fast, unpredictable random number generators. Quantum random number generation (QRNG) allows for the creation of truly unpredictable numbers thanks to the inherent…

Quantum Physics · Physics 2023-03-28 Cedric Bruynsteen , Tobias Gehring , Cosmo Lupo , Johan Bauwelinck , Xin Yin

Quantum random number generation exploits inherent randomness of quantum mechanical processes and measurements. Real-time generation rate of quantum random numbers is usually limited by electronic bandwidth and data processing rates. Here…

Quantum Physics · Physics 2020-01-08 Xiaomin Guo , Chen Cheng , Mingchuan Wu , Qingzhong Gao , Pu Li , Yanqiang Guo

We propose and implement a simple and compact quantum random number generation (QRNG) scheme based on the quantum phase fluctuations of a DFB laser. The distribution probability of the experimentally measured data fits well with the…

Quantum Physics · Physics 2017-04-05 Jinlu Liu , Jie Yang , Zhengyu Li , Wei Huang , Bingjie Xu , Hong Guo

Pseudorandom values are often generated as 64-bit binary words. These random words need to be converted into ranged values without statistical bias. We present an efficient algorithm to generate multiple independent uniformly-random bounded…

Data Structures and Algorithms · Computer Science 2025-04-08 Nevin Brackett-Rozinsky , Daniel Lemire

Quantum random number generators (QRNGs) promise perfectly unpredictable random numbers. However, the security certification of the random numbers in form of a stochastic model often introduces assumptions that are either hardly justified…

Generation of pseudorandom numbers from different probability distributions has been studied extensively in the Monte Carlo simulation literature. Two standard generation techniques are the acceptance-rejection and inverse transformation…

Computational Finance · Quantitative Finance 2014-03-25 Nguyet Nguyen , Giray Ökten

Stratified sampling is a fast and simple method to generate point sets with uniform distribution in hypercubes. However, for the most common paraxial stratfication it has the prominent drawback that the number of sampled points in n…

Computation · Statistics 2018-06-14 Simon Wessing

Random projection algorithm is an iterative gradient method with random projections. Such an algorithm is of interest for constrained optimization when the constraint set is not known in advance or the projection operation on the whole…

Optimization and Control · Mathematics 2013-05-02 Soomin Lee , Angelia Nedich

We propose an approach for fast random number generation based on homemade optical physical unclonable functions (PUFs). The optical PUF is illuminated with input laser wavefront of continuous modulation to obtain different speckle…

Cryptography and Security · Computer Science 2021-10-04 Kun Chen , Feng Huang , Pidong Wang , Yongbiao Wan , Dong Li , Yao Yao

Rejection sampling is a common tool for low dimensional problems ($d \leq 2$), often touted as an "easy" way to obtain valid samples from a distribution $f(\cdot)$ of interest. In practice it is non-trivial to apply, often requiring…

Computation · Statistics 2023-10-03 Edward Raff , Mark McLean , James Holt

A novel Mathematical Random Number Generator (MRNG) is presented here. In this case, "mathematical" refers to the fact that to construct that generator it is not necessary to resort to a physical phenomenon, such as the thermal noise of an…

Numerical Analysis · Computer Science 2012-11-22 Osvaldo Skliar , Ricardo E. Monge , Sherry Gapper , Guillermo Oviedo

We propose a simple algorithm for generating normally distributed pseudo random numbers. The algorithm simulates N molecules that exchange energy among themselves following a simple stochastic rule. We prove that the system is ergodic, and…

Condensed Matter · Physics 2009-10-31 J. F. Fernandez , Carlos Criado

The paper develops techniques in order to construct computer programs, pseudorandom number generators (PRNG), that produce uniformly distributed sequences. The paper exploits an approach that treats standard processor instructions…

Dynamical Systems · Mathematics 2011-11-15 Vladimir Anashin