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In this proceedings we demonstrate how to implement and construct the PineAPPL grids, designed for fast-interpolation of Monte Carlo simulation with electroweak and QCD corrections, using the VegasFlow framework for Monte Carlo simulation…

High Energy Physics - Phenomenology · Physics 2020-09-25 Stefano Carrazza , Juan M. Cruz-Martinez , Christopher Schwan

We present MadFlow, a first general multi-purpose framework for Monte Carlo (MC) event simulation of particle physics processes designed to take full advantage of hardware accelerators, in particular, graphics processing units (GPUs). The…

Computational Physics · Physics 2021-08-18 Stefano Carrazza , Juan Cruz-Martinez , Marco Rossi , Marco Zaro

We propose a novel Parallel Monte Carlo tree search with Batched Simulations (PMBS) algorithm for accelerating long-horizon, episodic robotic planning tasks. Monte Carlo tree search (MCTS) is an effective heuristic search algorithm for…

Robotics · Computer Science 2022-07-15 Baichuan Huang , Abdeslam Boularias , Jingjin Yu

Today, cheap numerical hardware offers huge amounts of parallel computing power, much of which is used for the task of fitting neural networks to data. Adoption of this hardware to accelerate statistical Markov chain Monte Carlo (MCMC)…

Computation · Statistics 2024-11-08 Pavel Sountsov , Colin Carroll , Matthew D. Hoffman

New machine learning based algorithms have been developed and tested for Monte Carlo integration based on generative Boosted Decision Trees and Deep Neural Networks. Both of these algorithms exhibit substantial improvements compared to…

High Energy Physics - Phenomenology · Physics 2017-07-04 Joshua Bendavid

We present a case-study on the utility of graphics cards to perform massively parallel simulation of advanced Monte Carlo methods. Graphics cards, containing multiple Graphics Processing Units (GPUs), are self-contained parallel…

Computation · Statistics 2015-05-05 Anthony Lee , Christopher Yau , Michael B. Giles , Arnaud Doucet , Christopher C. Holmes

We describe a new algorithm, VEGAS+, for adaptive multidimensional Monte Carlo integration. The new algorithm adds a second adaptive strategy, adaptive stratified sampling, to the adaptive importance sampling that is the basis for its…

Computational Physics · Physics 2021-05-13 G. Peter Lepage

In this article, we study the application of Multi-Level Monte Carlo (MLMC) approaches to numerical random homogenization. Our objective is to compute the expectation of some functionals of the homogenized coefficients, or of the…

Numerical Analysis · Mathematics 2013-01-15 Yalchin Efendiev , Cornelia Kronsbein , Frederic Legoll

The computational complexity of naive, sampling-based uncertainty quantification for 3D partial differential equations is extremely high. Multilevel approaches, such as multilevel Monte Carlo (MLMC), can reduce the complexity significantly,…

Computational Engineering, Finance, and Science · Computer Science 2016-07-13 Björn Gmeiner , Daniel Drzisga , Ulrich Ruede , Robert Scheichl , Barbara Wohlmuth

Most scientific domains elicit the development of efficient algorithms and accessible scientific software. This thesis unifies our developments in three broad domains: Quasi-Monte Carlo (QMC) methods for efficient high-dimensional…

Machine Learning · Statistics 2025-12-01 Aleksei G. Sorokin

We report on our findings modifying MCFM using OpenMP to implement multi-threading. By using OpenMP, the modified MCFM will execute on any processor, automatically adjusting to the number of available threads. We modified the integration…

Computational Physics · Physics 2015-03-23 John M. Campbell , R. Keith Ellis , Walter T. Giele

In this proceedings we present MadFlow, a new framework for the automation of Monte Carlo (MC) simulation on graphics processing units (GPU) for particle physics processes. In order to automate MC simulation for a generic number of…

Computational Physics · Physics 2021-09-08 Stefano Carrazza , Juan Cruz-Martinez , Marco Rossi , Marco Zaro

While generally considered computationally expensive, Uncertainty Quantification using Monte Carlo sampling remains beneficial for applications with uncertainties of high dimension. As an extension of the naive Monte Carlo method, the…

Computational Engineering, Finance, and Science · Computer Science 2026-01-06 Robert Hahn , Sebastian Schöps

A detailed description is provided of a new Worm Algorithm, enabling the accurate computation of thermodynamic properties of quantum many-body systems in continuous space, at finite temperature. The algorithm is formulated within the…

Computational Physics · Physics 2009-11-11 M. Boninsegni , N. V. Prokof'ev , B. V. Svistunov

Unstructured mesh tallies are a bottleneck in Monte Carlo neutral particle transport simulations of fusion reactors. This paper introduces the PUMI-Tally library that takes advantage of mesh adjacency information to accelerate these tallies…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-29 Fuad Hasan , Cameron W. Smith , Mark S. Shephard , R. Michael Churchill , George J. Wilkie , Paul K. Romano , Patrick C. Shriwise , Jacob S. Merson

The variational quantum Monte Carlo (VQMC) method received significant attention in the recent past because of its ability to overcome the curse of dimensionality inherent in many-body quantum systems. Close parallels exist between VQMC and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-01 Tianchen Zhao , Saibal De , Brian Chen , James Stokes , Shravan Veerapaneni

This paper introduces the R package sgmcmc; which can be used for Bayesian inference on problems with large datasets using stochastic gradient Markov chain Monte Carlo (SGMCMC). Traditional Markov chain Monte Carlo (MCMC) methods, such as…

Computation · Statistics 2018-04-16 Jack Baker , Paul Fearnhead , Emily B. Fox , Christopher Nemeth

The Multilevel Monte Carlo (MLMC) method has proven to be an effective variance-reduction statistical method for Uncertainty Quantification (UQ) in Partial Differential Equation (PDE) models, combining model computations at different levels…

Mathematical Software · Computer Science 2023-05-24 Santiago Badia , Jerrad Hampton , Javier Principe

In this study, we explore the efficiency of the Monte Carlo Tree Search (MCTS), a prominent decision-making algorithm renowned for its effectiveness in complex decision environments, contingent upon the volume of simulations conducted.…

Artificial Intelligence · Computer Science 2024-03-19 Ye Zhang , Mengran Zhu , Kailin Gui , Jiayue Yu , Yong Hao , Haozhan Sun

In the stochastic gradient descent (SGD) for sequential simulations such as the neural stochastic differential equations, the Multilevel Monte Carlo (MLMC) method is known to offer better theoretical computational complexity compared to the…

Machine Learning · Computer Science 2023-10-11 Kei Ishikawa