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In this work we present a model for computation of random processes in digital computers which solves the problem of periodic sequences and hidden errors produced by correlations. We show that systems with non-invertible non-linearities can…

Statistical Mechanics · Physics 2007-05-23 Monica A. Garcia-Nustes , Leonardo Trujillo , Jorge A. Gonzalez

Pseudorandom number generators (PRNGs) are ubiquitous in stochastic simulations and machine learning (ML), where they drive sampling, parameter initialization, regularization, and data shuffling. While widely used, the potential impact of…

Performance · Computer Science 2025-10-30 Benjamin A. Antunes

The library PRAND for pseudorandom number generation for modern CPUs and GPUs is presented. It contains both single-threaded and multi-threaded realizations of a number of modern and most reliable generators recently proposed and studied in…

Computational Physics · Physics 2014-02-18 L. Yu. Barash , L. N. Shchur

Stochastic simulation models effectively capture complex system dynamics but are often too slow for real-time decision-making. Traditional metamodeling techniques learn relationships between simulator inputs and a single output summary…

Machine Learning · Computer Science 2026-01-21 L. Jeff Hong , Yanxi Hou , Qingkai Zhang , Xiaowei Zhang

In all but special circumstances, measurements of time-dependent processes reflect internal structures and correlations only indirectly. Building predictive models of such hidden information sources requires discovering, in some way, the…

Probability · Mathematics 2009-11-10 Nihat Ay , James P. Crutchfield

Recent advances in generative models, such as diffusion models, have made generating high-quality synthetic images widely accessible. Prior works have shown that training on synthetic images improves many perception tasks, such as image…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Jacob Schnell , Jieke Wang , Lu Qi , Vincent Tao Hu , Meng Tang

Pseudorandom circuits generate quantum states and unitary operators which are approximately distributed according to the unitarily invariant Haar measure. We explore how several design parameters affect the efficiency of pseudo-random…

Quantum Physics · Physics 2009-11-13 Yaakov S. Weinstein , Winton G. Brown , Lorenza Viola

Kernel methods represent one of the most powerful tools in machine learning to tackle problems expressed in terms of function values and derivatives due to their capability to represent and model complex relations. While these methods show…

Statistics Theory · Mathematics 2015-11-06 Bharath K. Sriperumbudur , Zoltan Szabo

In this paper, we propose a new framework for designing fast parallel algorithms for fundamental statistical subset selection tasks that include feature selection and experimental design. Such tasks are known to be weakly submodular and are…

Machine Learning · Computer Science 2021-04-02 Sharon Qian , Yaron Singer

An additive fast Fourier transform over a finite field of characteristic two efficiently evaluates polynomials at every element of an $\mathbb{F}_2$-linear subspace of the field. We view these transforms as performing a change of basis from…

Symbolic Computation · Computer Science 2018-07-23 Nicholas Coxon

The ultimate random number generators are those certified to be unpredictable -- including to an adversary. The use of simple quantum processes promises to provide numbers that no physical observer could predict but, in practice, unwanted…

Numerical simulations are ubiquitous in science and engineering. Machine learning for science investigates how artificial neural architectures can learn from these simulations to speed up scientific discovery and engineering processes. Most…

Artificial Intelligence · Computer Science 2022-12-12 Lucas Meyer , Alejandro Ribés , Bruno Raffin

We propose a method for program generation based on semantic scaffolds, lightweight structures representing the high-level semantic and syntactic composition of a program. By first searching over plausible scaffolds then using these as…

Computation and Language · Computer Science 2020-05-13 Ruiqi Zhong , Mitchell Stern , Dan Klein

Generative adversarial networks (GANs) have achieved remarkable progress in recent years, but the continuously growing scale of models makes them challenging to deploy widely in practical applications. In particular, for real-time…

Machine Learning · Computer Science 2021-03-19 Liang Hou , Zehuan Yuan , Lei Huang , Huawei Shen , Xueqi Cheng , Changhu Wang

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

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

Generation of pseudo random sequences by cellular automata, as well as by hybrid cellular automata is surveyed. An application to the fast evaluation and FPGA implementation of some classes of boolean functions is sketched out.

Discrete Mathematics · Computer Science 2008-07-25 Bruno Martin , Patrick Solé

Probabilistic reasoning is an essential tool for robust decision-making systems because of its ability to explicitly handle real-world uncertainty, constraints and causal relations. Consequently, researchers are developing hybrid models by…

Hardware Architecture · Computer Science 2021-03-02 Nimish Shah , Laura I. Galindez Olascoaga , Wannes Meert , Marian Verhelst

The library RNGSSELIB for random number generators (RNGs) based upon the SSE2 command set is presented. The library contains realization of a number of modern and most reliable generators. Usage of SSE2 command set allows to substantially…

Computational Physics · Physics 2011-04-19 L. Yu. Barash , L. N. Shchur

We describe a high-speed physical random number generator based on a hybrid Boolean network with autonomous and clocked logic gates, realized on a reconfigurable chip. The autonomous logic gates are arranged in a bidirectional ring topology…

Chaotic Dynamics · Physics 2013-04-30 David P. Rosin , Damien Rontani , Daniel J. Gauthier
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