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High-performance streams of (pseudo) random numbers are crucial for the efficient implementation for countless stochastic algorithms, most importantly, Monte Carlo simulations and molecular dynamics simulations with stochastic thermostats.…

Computational Physics · Physics 2012-08-30 Markus Manssen , Martin Weigel , Alexander K. Hartmann

We present a method which incorporates the Bose-Einstein effect into Monte Carlo generators for multiple production by weighting the events. Various aspects of weight calculations are discussed in detail. We show that our method allows to…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Fialkowski , R. Wit , J. Wosiek

Pseudorandom number generators are required for many computational tasks, such as stochastic modelling and simulation. This paper investigates the serial CPU and parallel GPU implementation of a Linear Congruential Generator based on the…

Mathematical Software · Computer Science 2012-06-25 Gleb Beliakov , Michael Johnstone , Doug Creighton , Tim Wilkin

Generating streams of true random numbers is a critical component of many embedded systems. The design of fully integrated, area and power efficient True Random Number Generators is a challenge. We propose a fully integrated, lightweight…

Signal Processing · Electrical Eng. & Systems 2023-01-16 Gilson Wirth , Pedro A B Alves , Roberto da Silva

We consider systems of stochastic differential equations with multiple scales and small noise and assume that the coefficients of the equations are ergodic and stationary random fields. Our goal is to construct provably-efficient importance…

Probability · Mathematics 2015-09-29 Konstantinos Spiliopoulos

In this proceedings we demonstrate some advantages of a top-bottom approach in the development of hardware-accelerated code. We start with an autogenerated hardware-agnostic Monte Carlo generator, which is parallelized in the event axis.…

Computational Physics · Physics 2022-11-28 Stefano Carrazza , Juan M. Cruz-Martinez , Gabriele Palazzo

The techniques used to generate pseudo-random numbers for Monte Carlo (MC) applications bear many implications on the quality and speed of that programs work. As a random number generator (RNG) slows, the production of random numbers begins…

Computational Physics · Physics 2024-03-12 Braxton S. Cuneo , Ilham Variansyah

Many popular statistical models for complex phenomena are intractable, in the sense that the likelihood function cannot easily be evaluated. Bayesian estimation in this setting remains challenging, with a lack of computational methodology…

Computation · Statistics 2015-03-31 Nial Friel , Antonietta Mira , Chris. J. Oates

We present a scheme for quantum random-number generation from an untrusted measurement device and a trusted source and demonstrate it experimentally. No assumptions about noise or imperfections in the measurement are required, and the…

Quantum Physics · Physics 2022-10-26 Kieran Neil Wilkinson , Casper Ahl Breum , Tobias Gehring , Jonatan Bohr Brask

Since the invention of generalized polynomial chaos in 2002, uncertainty quantification has impacted many engineering fields, including variation-aware design automation of integrated circuits and integrated photonics. Due to the fast…

Numerical Analysis · Computer Science 2018-07-06 Chunfeng Cui , Zheng Zhang

Testing automotive mechatronic systems partly uses the software-in-the-loop approach, where systematically covering inputs of the system-under-test remains a major challenge. In current practice, there are two major techniques of input…

Machine Learning · Computer Science 2020-02-19 Dhasarathy Parthasarathy , Karl Bäckström , Jens Henriksson , Sólrún Einarsdóttir

A quantum random number generator (QRNG) can generate true randomness by exploiting the fundamental indeterminism of quantum mechanics. Most approaches to QRNG employ single-photon detection technologies and are limited in speed. Here, we…

Quantum Physics · Physics 2013-08-12 Feihu Xu , Bing Qi , Xiongfeng Ma , He Xu , Haoxuan Zheng , Hoi-Kwong Lo

Bayesian optimization through Gaussian process regression is an effective method of optimizing an unknown function for which every measurement is expensive. It approximates the objective function and then recommends a new measurement point…

Machine Learning · Statistics 2017-05-17 Hildo Bijl , Thomas B. Schön , Jan-Willem van Wingerden , Michel Verhaegen

Quantification and minimization of uncertainty is an important task in the design of electromagnetic devices, which comes with high computational effort. We propose a hybrid approach combining the reliability and accuracy of a Monte Carlo…

Machine Learning · Computer Science 2022-04-12 Mona Fuhrländer , Sebastian Schöps

This paper presents a parallel Monte Carlo simulation based performance quantification method for nonlinear model predictive control (NMPC) in closed-loop. The method provides distributions for the controller performance in stochastic…

Systems and Control · Electrical Eng. & Systems 2023-06-22 Morten Wahlgreen Kaysfeld , Mario Zanon , John Bagterp Jørgensen

We investigate the properties of a sequential Monte Carlo method where the particle weight that appears in the algorithm is estimated by a positive, unbiased estimator. We present broadly-applicable convergence results, including a central…

Methodology · Statistics 2022-08-26 Paul B. Rohrbach , Robert L. Jack

Variational quantum algorithms have emerged as a cornerstone of contemporary quantum algorithms research. Practical implementations of these algorithms, despite offering certain levels of robustness against systematic errors, show a decline…

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

We propose a method to realize a robust quantum random number generator based on bosonic stimulation. A particular implementation that employs weak coherent pulses and conventional avalanche photo-diode detectors (APDs) is discussed.

Quantum Physics · Physics 2012-02-03 H. Akshata Shenoy , S. Omkar , R. Srikanth , T. Srinivas

Understanding how stochastic gene expression is regulated in biological systems using snapshots of single-cell transcripts requires state-of-the-art methods of computational analysis and statistical inference. A Bayesian approach to…

Quantitative Methods · Quantitative Biology 2018-12-10 Yen Ting Lin , Nicolas E. Buchler