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We present our experience with the modernization on the GR-MHD code BHAC, aimed at improving its novel hybrid (MPI+OpenMP) parallelization scheme. In doing so, we showcase the use of performance profiling tools usable on x86 (Intel-based)…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-30 Salvatore Cielo , Oliver Porth , Luigi Iapichino , Anupam Karmakar , Hector Olivares , Chun Xia

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

Machine Learning and Data Mining (MLDM) algorithms are becoming increasingly important in analyzing large volume of data generated by simulations, experiments and mobile devices. With increasing data volume, distributed memory systems (such…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-21 Abhinav Vishnu , Charles Siegel , Jeffrey Daily

A general purpose, self-adapting, Monte Carlo (MC) event generator (simulator) is described. The high efficiency of the MC, that is small maximum weight or variance of the MC weight is achieved by means of dividing the integration domain…

Computational Physics · Physics 2009-11-07 S. Jadach

We study statistical model checking of continuous-time stochastic hybrid systems. The challenge in applying statistical model checking to these systems is that one cannot simulate such systems exactly. We employ the multilevel Monte Carlo…

Systems and Control · Computer Science 2017-06-27 Sadegh Esmaeil Zadeh Soudjani , Rupak Majumdar , Tigran Nagapetyan

Multicore systems present on-board memory hierarchies and communication networks that influence performance when executing shared memory parallel codes. Characterising this influence is complex, and understanding the effect of particular…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-01 O. G. Lorenzo , M. L. Becoña , T. F. Pena , J. C. Cabaleiro , J. A. Lorenzo , F. F. Rivera

This work introduces a novel multilevel Monte Carlo (MLMC) metamodeling approach for variance function estimation. Although devising an efficient experimental design for simulation metamodeling can be elusive, the MLMC-based approach…

Methodology · Statistics 2025-04-22 Jingtao Zhang , Xi Chen

Inspired by the latest developments in multilevel Monte Carlo (MLMC) methods and randomised sketching for linear algebra problems we propose a MLMC estimator for real-time processing of matrix structured random data. Our algorithm is…

Numerical Analysis · Mathematics 2020-04-30 Yue Wu , Nick Polydorides

Monte Carlo Tree Search (MCTS) methods have achieved great success in many Artificial Intelligence (AI) benchmarks. The in-tree operations become a critical performance bottleneck in realizing parallel MCTS on CPUs. In this work, we develop…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-25 Yuan Meng , Rajgopal Kannan , Viktor Prasanna

In this contribution, we propose a new computationally efficient method to combine Variational Inference (VI) with Markov Chain Monte Carlo (MCMC). This approach can be used with generic MCMC kernels, but is especially well suited to…

Multilevel Monte Carlo (MLMC) reduces the total computational cost of financial option pricing by combining SDE approximations with multiple resolutions. This paper explores a further avenue for reducing cost and improving power efficiency…

Computational Finance · Quantitative Finance 2025-02-12 Irina-Beatrice Haas , Michael B. Giles

Parallel processing is considered as todays and future trend for improving performance of computers. Computing devices ranging from small embedded systems to big clusters of computers rely on parallelizing applications to reduce execution…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-11-27 Oussama Tahan

Modelling of multivariate densities is a core component in many signal processing, pattern recognition and machine learning applications. The modelling is often done via Gaussian mixture models (GMMs), which use computationally expensive…

Mathematical Software · Computer Science 2018-05-10 Conrad Sanderson , Ryan Curtin

In this work we demonstrate the usage of the VegasFlow library on multidevice situations: multi-GPU in one single node and multi-node in a cluster. VegasFlow is a new software for fast evaluation of highly parallelizable integrals based on…

Computational Physics · Physics 2021-02-23 Juan M. Cruz-Martinez , Stefano Carrazza

We evaluate optimized parallel sparse matrix-vector operations for two representative application areas on widespread multicore-based cluster configurations. First the single-socket baseline performance is analyzed and modeled with respect…

Performance · Computer Science 2012-03-01 Gerald Schubert , Georg Hager , Holger Fehske , Gerhard Wellein

Markov Chain Monte Carlo methods are algorithms used to sample probability distributions, commonly used to sample the Boltzmann distribution of physical/chemical models (e.g., protein folding, Ising model, etc.). This allows us to study…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-04 Aingeru Ramos , Jose A Pascual , Javier Navaridas , Ivan Coluzza

Heterogeneity has become a mainstream architecture design choice for building High Performance Computing systems. However, heterogeneity poses significant challenges for achieving performance portability of execution. Adapting a program to…

Programming Languages · Computer Science 2023-03-17 Giorgis Georgakoudis , Konstantinos Parasyris , Chunhua Liao , David Beckingsale , Todd Gamblin , Bronis de Supinski

In this paper a novel modification of the multilevel Monte Carlo approach, allowing for further significant complexity reduction, is proposed. The idea of the modification is to use the method of control variates to reduce variance at level…

Computational Finance · Quantitative Finance 2017-03-14 Denis Belomestny , Tigran Nagapetyan

We present a highly scalable Monte Carlo (MC) three-dimensional photon transport simulation platform designed for heterogeneous computing systems. Through the development of a massively parallel MC algorithm using the Open Computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-06 Leiming Yu , Fanny Nina-Paravecino , David Kaeli , Qianqian Fang

We evaluate optimized parallel sparse matrix-vector operations for several representative application areas on widespread multicore-based cluster configurations. First the single-socket baseline performance is analyzed and modeled with…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-01 Gerald Schubert , Holger Fehske , Georg Hager , Gerhard Wellein