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The modelling of multiple parton interactions in Monte Carlo event generators is a crucial part not only for the dressing of signal processes but also to describe data with a minimum bias on the event selection. Much work has and will be…

High Energy Physics - Phenomenology · Physics 2020-06-24 Johannes Bellm , Stefan Gieseke , Patrick Kirchgaesser

The past decade has seen a revived interest in the unavoidable or intrinsic noise in biochemical and genetic networks arising from the finite copy number of the participating species. That is, rather than modeling regulatory networks in…

Molecular Networks · Quantitative Biology 2015-03-17 Aleksandra M. Walczak , Andrew Mugler , Chris H. WIggins

The aim of this paper is to describe a new an integrated methodology for project control under uncertainty. This proposal is based on Earned Value Methodology and risk analysis and presents several refinements to previous methodologies.…

Risk Management · Quantitative Finance 2024-06-06 Fernando Acebes , M Pereda , David Poza , Javier Pajares , Jose M Galan

Monte Carlo simulation is an important tool for modeling highly nonlinear systems (like particle colliders and cellular membranes), and random, floating-point numbers are their fuel. These random samples are frequently generated via the…

Computation · Statistics 2018-02-16 Keith Pedersen

Simulation has become a standard tool in statistics because it may be the only tool available for analysing some classes of probabilistic models. We review in this paper simulation tools that have been specifically derived to address…

Computation · Statistics 2011-05-25 Christian P. Robert

We study an unbiased estimator for the density of a sum of random variables that are simulated from a computer model. A numerical study on examples with copula dependence is conducted where the proposed estimator performs favourably in…

Statistics Theory · Mathematics 2018-09-19 Patrick J. Laub , Robert Salomone , Zdravko I. Botev

Biological, linguistic, sociological and economical applications of statistical physics are reviewed here. They have been made on a variety of computers over a dozen years, not only at the NIC computers. A longer description can be found in…

Popular Physics · Physics 2007-05-23 D. Stauffer

Conventional random number generators provide the speed but not necessarily the high quality output streams needed for large-scale stochastic simulations. Cryptographically-based generators, on the other hand, provide superior quality…

Numerical Analysis · Mathematics 2013-07-17 William K. Cochran , Michael T. Heath , Kyle W. McKiou

A method for generating random $U(1)$ variables with Boltzmann distribution is presented. It is based on the rejection method with transformation of variables. High efficiency is achieved for all range of temparatures or coupling…

High Energy Physics - Lattice · Physics 2009-10-22 Tetsuya Hattori , Hideo Nakajima

A recursive random number generator using prime reciprocals is described.

Cryptography and Security · Computer Science 2009-07-31 Subhash Kak

Many problems in machine learning and statistics involve nested expectations and thus do not permit conventional Monte Carlo (MC) estimation. For such problems, one must nest estimators, such that terms in an outer estimator themselves…

Computation · Statistics 2018-05-24 Tom Rainforth , Robert Cornish , Hongseok Yang , Andrew Warrington , Frank Wood

I discuss optimized data analysis and Monte Carlo methods. Reweighting methods are discussed through examples, like Lee-Yang zeroes in the Ising model and the absence of deconfinement in QCD. I discuss reweighted data analysis and…

Disordered Systems and Neural Networks · Physics 2008-02-03 Enzo Marinari

Event generators play an important role in all physics programs at the Large Hadron Collider and beyond. Dedicated efforts are required to tune the parameters of event generators to accurately describe data. There are many tuning methods…

High Energy Physics - Phenomenology · Physics 2023-10-12 Jaffae Schroff , Xiangyang Ju

When performing Monte-Carlo simulations, distributions are sometimes determined only for sub-intervals of the desired total range. In such cases, a frequent problem is to connect, or glue, individual distributions to obtain the final…

Data Analysis, Statistics and Probability · Physics 2022-07-19 Peter Werner

We present results of extensive statistical and bit level tests on three implementations of a pseudorandom number generator algorithm using the lagged Fibonacci method with an occasional addition of an extra bit. First implementation is the…

High Energy Physics - Lattice · Physics 2008-02-03 I. Vattulainen , K. Kankaala , J. Saarinen , T. Ala-Nissila

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

This paper introduces and reviews some of the principles and methods used in Bayesian reliability. It specifically discusses methods used in the analysis of success/no-success data and then reminds the reader of a simple Monte Carlo…

Methodology · Statistics 2024-06-10 Carsten H. Botts

Langevin Dynamics, Monte Carlo, and all-atom Molecular Dynamics simulations in implicit solvent, widely used to access the microscopic transitions in biomolecules, require a reliable source of random numbers. Here we present the two main…

Chemical Physics · Physics 2010-03-05 A. Zhmurov , K. Rybnikov , Y. Kholodov , V. Barsegov

For spin rotational symmetric models with a positive-definite high-temperature expansion of the partition function, a stochastic sampling of the series expansion upon partial resummation becomes logically equivalent to sampling an…

Strongly Correlated Electrons · Physics 2022-09-01 Nisheeta Desai , Sumiran Pujari

While the Quasi-Monte Carlo method of numerical integration achieves smaller integration error than standard Monte Carlo, its use in particle physics phenomenology has been hindered by the abscence of a reliable way to estimate that error.…

High Energy Physics - Phenomenology · Physics 2009-11-11 R. H. Kleiss , A. Lazopoulos