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We discuss the improvement in the accuracy of a Monte Carlo integration that can be obtained by optimization of the `a-priori weights' of the various channels. These channels may be either the strata in a stratified-sampling approach, or…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. Kleiss , R. Pittau

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

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

Sequential Monte Carlo methods, also known as particle methods, are a popular set of techniques for approximating high-dimensional probability distributions and their normalizing constants. These methods have found numerous applications in…

Computation · Statistics 2021-06-23 Jeremy Heng , Adrian N. Bishop , George Deligiannidis , Arnaud Doucet

We provide an overview of the status of Monte-Carlo event generators for high-energy particle physics. Guided by the experimental needs and requirements, we highlight areas of active development, and opportunities for future improvements.…

High Energy Physics - Phenomenology · Physics 2025-02-28 J. M. Campbell , M. Diefenthaler , T. J. Hobbs , S. Höche , J. Isaacson , F. Kling , S. Mrenna , J. Reuter , S. Alioli , J. R. Andersen , C. Andreopoulos , A. M. Ankowski , E. C. Aschenauer , A. Ashkenazi , M. D. Baker , J. L. Barrow , M. van Beekveld , G. Bewick , S. Bhattacharya , N. Bhuiyan , C. Bierlich , E. Bothmann , P. Bredt , A. Broggio , A. Buckley , A. Butter , J. M. Butterworth , E. P. Byrne , C. M. Carloni Calame , S. Chakraborty , X. Chen , M. Chiesa , J. T. Childers , J. Cruz-Martinez , J. Currie , N. Darvishi , M. Dasgupta , A. Denner , F. A. Dreyer , S. Dytman , B. K. El-Menoufi , T. Engel , S. Ferrario Ravasio , D. Figueroa , L. Flower , J. R. Forshaw , R. Frederix , A. Friedland , S. Frixione , H. Gallagher , K. Gallmeister , S. Gardiner , R. Gauld , J. Gaunt , A. Gavardi , T. Gehrmann , A. Gehrmann-De Ridder , L. Gellersen , W. Giele , S. Gieseke , F. Giuli , E. W. N. Glover , M. Grazzini , A. Grohsjean , C. Gütschow , K. Hamilton , T. Han , R. Hatcher , G. Heinrich , I. Helenius , O. Hen , V. Hirschi , M. Höfer , J. Holguin , A. Huss , P. Ilten , S. Jadach , A. Jentsch , S. P. Jones , W. Ju , S. Kallweit , A. Karlberg , T. Katori , M. Kerner , W. Kilian , M. M. Kirchgaeßer , S. Klein , M. Knobbe , C. Krause , F. Krauss , J. Lang , J. -N. Lang , G. Lee , S. W. Li , M. A. Lim , J. M. Lindert , D. Lombardi , L. Lönnblad , M. Löschner , N. Lurkin , Y. Ma , P. Machado , V. Magerya , A. Maier , I. Majer , F. Maltoni , M. Marcoli , G. Marinelli , M. R. Masouminia , P. Mastrolia , O. Mattelaer , J. Mazzitelli , J. McFayden , R. Medves , P. Meinzinger , J. Mo , P. F. Monni , G. Montagna , T. Morgan , U. Mosel , B. Nachman , P. Nadolsky , R. Nagar , Z. Nagy , D. Napoletano , P. Nason , T. Neumann , L. J. Nevay , O. Nicrosini , J. Niehues , K. Niewczas , T. Ohl , G. Ossola , V. Pandey , A. Papadopoulou , A. Papaefstathiou , G. Paz , M. Pellen , G. Pelliccioli , T. Peraro , F. Piccinini , L. Pickering , J. Pires , W. Płaczek , S. Plätzer , T. Plehn , S. Pozzorini , S. Prestel , C. T. Preuss , A. C. Price , S. Quackenbush , E. Re , D. Reichelt , L. Reina , C. Reuschle , P. Richardson , M. Rocco , N. Rocco , M. Roda , A. Rodriguez Garcia , S. Roiser , J. Rojo , L. Rottoli , G. P. Salam , M. Schönherr , S. Schuchmann , S. Schumann , R. Schürmann , L. Scyboz , M. H. Seymour , F. Siegert , A. Signer , G. Singh Chahal , A. Siódmok , T. Sjöstrand , P. Skands , J. M. Smillie , J. T. Sobczyk , D. Soldin , D. E. Soper , A. Soto-Ontoso , G. Soyez , G. Stagnitto , J. Tena-Vidal , O. Tomalak , F. Tramontano , S. Trojanowski , Z. Tu , S. Uccirati , T. Ullrich , Y. Ulrich , M. Utheim , A. Valassi , A. Verbytskyi , R. Verheyen , M. Wagman , D. Walker , B. R. Webber , L. Weinstein , O. White , J. Whitehead , M. Wiesemann , C. Wilkinson , C. Williams , R. Winterhalder , C. Wret , K. Xie , T-Z. Yang , E. Yazgan , G. Zanderighi , S. Zanoli , K. Zapp

In this article, we present an event-driven algorithm that generalizes the recent hard-sphere event-chain Monte Carlo method without introducing discretizations in time or in space. A factorization of the Metropolis filter and the concept…

Statistical Mechanics · Physics 2014-02-10 Manon Michel , Sebastian C. Kapfer , Werner Krauth

This paper proposes a family of weighted batch means variance estimators, which are computationally efficient and can be conveniently applied in practice. The focus is on Markov chain Monte Carlo simulations and estimation of the asymptotic…

Statistics Theory · Mathematics 2018-05-23 Ying Liu , James M. Flegal

Big data streams are possibly one of the most essential underlying notions. However, data streams are often challenging to handle owing to their rapid pace and limited information lifetime. It is difficult to collect and communicate stream…

Machine Learning · Computer Science 2022-03-03 Christos Karras , Aristeidis Karras , Spyros Sioutas

Goal of these proceedings is to introduce a method based on event weighting in particle physics experiments. Weighting means that events are not just counted as integer numbers but are assigned a weight factor according to their importance…

Data Analysis, Statistics and Probability · Physics 2022-03-11 Joerg Pretz

Monte Carlo simulations of systems of particles such as hard spheres or soft spheres with singular kernels can display around a phase transition prohibitively long convergence times when using traditional Hasting-Metropolis reversible…

Statistical Mechanics · Physics 2023-10-10 Athina Monemvassitis , Arnaud Guillin , Manon Michel

In the era of precision physics measurements at the LHC, efficient and exhaustive estimations of theoretical uncertainties play an increasingly crucial role. In the context of Monte Carlo (MC) event generators, the estimation of such…

High Energy Physics - Phenomenology · Physics 2016-10-12 S. Mrenna , P. Skands

A Monte Carlo fluence estimator has been designed to take advantage of the computational power of graphical processing units (GPUs). This new estimator, termed the volumetric-ray-casting estimator, is an extension of the expected-value…

Computational Physics · Physics 2018-09-26 Jeremy E. Sweezy

We introduce a multiscale Monte Carlo algorithm to simulate dense simple fluids. The probability of an update follows a power law distribution in its length scale. The collective motion of clusters of particles requires generalization of…

Statistical Mechanics · Physics 2009-11-11 A. C. Maggs

A Monte Carlo event generator has been developed assuming thermal production of hadrons. The system under consideration is sampled grand canonically in the Boltzmann approximation. A re-weighting scheme is then introduced to account for…

Nuclear Theory · Physics 2009-12-14 M. Hauer , S. Wheaton

High statistical precision is critical for Monte Carlo (MC) samples in high energy physics and is degraded by negatively weighted events. This paper investigates a procedure to learn the relationship between the negative and positive weight…

High Energy Physics - Experiment · Physics 2026-01-15 Christopher Palmer , Braden Kronheim

The aim of this paper is to introduce a new Monte Carlo method based on importance sampling techniques for the simulation of stochastic differential equations. The main idea is to combine random walk on squares or rectangles methods with…

Probability · Mathematics 2010-10-22 Madalina Deaconu , Antoine Lejay

Monte Carlo Event Generators are important tools for the understanding of physics at particle colliders like the LHC. In order to best predict a wide variety of observables, the optimization of parameters in the Event Generators based on…

High Energy Physics - Phenomenology · Physics 2020-02-19 Johannes Bellm , Leif Gellersen

Monte Carlo experiments produce samples in order to estimate features of a given distribution. However, simultaneous estimation of means and quantiles has received little attention, despite being common practice. In this setting we…

Computation · Statistics 2020-04-24 Nathan Robertson , James M. Flegal , Dootika Vats , Galin L. Jones

Monte Carlo event generators are the central interface between theoretical calculations and experimental measurements in collider physics. Over several decades, a comprehensive and highly modular ecosystem of tools has developed around…

High Energy Physics - Phenomenology · Physics 2026-05-18 Melissa van Beekveld , Enrico Bothmann , Andy Buckley , Christian Gütschow , Peter Skands , Ramon Winterhalder

We show that the common local Monte Carlo rules used to simulate the motion of driven flux lines in disordered media cannot capture the interplay between elasticity and disorder which lies at the heart of these systems. We therefore discuss…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alberto Rosso , Werner Krauth