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A machine learning method to predict steady external fluid flows using elliptic input features is introduced. Using data from as few as one high-fidelity simulation, the proposed method produces models generalizable under changes to…

流体动力学 · 物理学 2025-01-28 Kazuko W. Fuchi , Eric M. Wolf , David S. Makhija , Christopher R. Schrock , Philip S. Beran

Computing the marginal likelihood (also called the Bayesian model evidence) is an important task in Bayesian model selection, providing a principled quantitative way to compare models. The learned harmonic mean estimator solves the…

统计方法学 · 统计学 2024-01-22 Alicja Polanska , Matthew A. Price , Alessio Spurio Mancini , Jason D. McEwen

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…

计算物理 · 物理学 2021-08-18 Stefano Carrazza , Juan Cruz-Martinez , Marco Rossi , Marco Zaro

We consider parallel asynchronous Markov Chain Monte Carlo (MCMC) sampling for problems where we can leverage (stochastic) gradients to define continuous dynamics which explore the target distribution. We outline a solution strategy for…

机器学习 · 统计学 2016-12-09 Jost Tobias Springenberg , Aaron Klein , Stefan Falkner , Frank Hutter

Markov Chain Monte Carlo (MCMC) algorithms are essential tools in computational statistics for sampling from unnormalised probability distributions, but can be fragile when targeting high-dimensional, multimodal, or complex target…

GFlowNets are a promising alternative to MCMC sampling for discrete compositional random variables. Training GFlowNets requires repeated evaluations of the unnormalized target distribution or reward function. However, for large-scale…

机器学习 · 计算机科学 2024-06-06 Tiago da Silva , Luiz Max Carvalho , Amauri Souza , Samuel Kaski , Diego Mesquita

Hamiltonian Monte Carlo (HMC) is a popular Markov Chain Monte Carlo (MCMC) algorithm to sample from an unnormalized probability distribution. A leapfrog integrator is commonly used to implement HMC in practice, but its performance can be…

统计计算 · 统计学 2021-10-28 Marcel Hirt , Michalis K. Titsias , Petros Dellaportas

Hybrid Monte Carlo is a powerful Markov Chain Monte Carlo method for sampling from complex continuous distributions. However, a major limitation of HMC is its inability to be applied to discrete domains due to the lack of gradient signal.…

机器学习 · 计算机科学 2021-03-02 Priyank Jaini , Didrik Nielsen , Max Welling

Scalable sampling of molecular states in thermodynamic equilibrium is a long-standing challenge in statistical physics. Boltzmann Generators tackle this problem by pairing a generative model, capable of exact likelihood computation, with…

机器学习 · 计算机科学 2025-12-11 Danyal Rehman , Tara Akhound-Sadegh , Artem Gazizov , Yoshua Bengio , Alexander Tong

Involutive MCMC is a unifying mathematical construction for MCMC kernels that generalizes many classic and state-of-the-art MCMC algorithms, from reversible jump MCMC to kernels based on deep neural networks. But as with MCMC samplers more…

统计计算 · 统计学 2020-07-22 Marco Cusumano-Towner , Alexander K. Lew , Vikash K. Mansinghka

The recent introduction of Machine Learning techniques, especially Normalizing Flows, for the sampling of lattice gauge theories has shed some hope on improving the sampling efficiency of the traditional Hybrid Monte Carlo (HMC) algorithm.…

高能物理 - 格点 · 物理学 2023-09-21 David Albandea , Luigi Del Debbio , Pilar Hernández , Richard Kenway , Joe Marsh Rossney , Alberto Ramos

The Self-Learning Monte Carlo (SLMC) method is a Monte Carlo approach that has emerged in recent years by integrating concepts from machine learning with conventional Monte Carlo techniques. Designed to accelerate the numerical study of…

强关联电子 · 物理学 2025-07-18 Gaopei Pan , Chuang Chen , Zi Yang Meng

We propose a renormalisation group inspired normalising flow that combines benefits from traditional Markov chain Monte Carlo methods and standard normalising flows to sample lattice field theories. Specifically, we use samples from a…

高能物理 - 格点 · 物理学 2024-12-18 Marc Bauer , Renzo Kapust , Jan M. Pawlowski , Finn L. Temmen

MFC is an open-source tool for solving multi-component, multi-phase, and bubbly compressible flows. It is capable of efficiently solving a wide range of flows, including droplet atomization, shock-bubble interaction, and gas bubble…

Safety-critical applications such as autonomous vehicles and social robots require fast computation and accurate probability density estimation on trajectory prediction. To address both requirements, this paper presents a new normalizing…

计算机视觉与模式识别 · 计算机科学 2023-08-21 Takahiro Maeda , Norimichi Ukita

Monte Carlo (MC) techniques are often used to estimate integrals of a multivariate function using randomly generated samples of the function. In light of the increasing interest in uncertainty quantification and robust design applications…

机器学习 · 统计学 2011-08-25 Brendan Tracey , David Wolpert , Juan J. Alonso

Traditionally, the field of computational Bayesian statistics has been divided into two main subfields: variational methods and Markov chain Monte Carlo (MCMC). In recent years, however, several methods have been proposed based on combining…

统计计算 · 统计学 2017-04-19 Cheng Zhang , Babak Shahbaba , Hongkai Zhao

Classical algorithms in numerical analysis for numerical integration (quadrature/cubature) follow the principle of approximate and integrate: the integrand is approximated by a simple function (e.g. a polynomial), which is then integrated…

数值分析 · 数学 2018-06-15 Yuji Nakatsukasa

A challenging problem in probabilistic programming is to develop inference algorithms that work for arbitrary programs in a universal probabilistic programming language (PPL). We present the nonparametric involutive Markov chain Monte Carlo…

机器学习 · 计算机科学 2022-11-03 Carol Mak , Fabian Zaiser , Luke Ong

In many fields of science, high-dimensional integration is required. Numerical methods have been developed to evaluate these complex integrals. We introduce the code i-flow, a python package that performs high-dimensional numerical…

计算物理 · 物理学 2020-08-19 Christina Gao , Joshua Isaacson , Claudius Krause