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Sampling from high-dimensional distributions has wide applications in data science and machine learning but poses significant computational challenges. We introduce Subspace Langevin Monte Carlo (SLMC), a novel and efficient sampling method…

机器学习 · 统计学 2025-05-21 Tyler Maunu , Jiayi Yao

We introduce interacting particle Markov chain Monte Carlo (iPMCMC), a PMCMC method based on an interacting pool of standard and conditional sequential Monte Carlo samplers. Like related methods, iPMCMC is a Markov chain Monte Carlo sampler…

Building on the success of diffusion models in visual generation, flow-based models reemerge as another prominent family of generative models that have achieved competitive or better performance in terms of both visual quality and inference…

计算机视觉与模式识别 · 计算机科学 2024-09-27 Wenliang Zhao , Minglei Shi , Xumin Yu , Jie Zhou , Jiwen Lu

Markov chain Monte Carlo (MCMC) is a sampling-based method for estimating features of probability distributions. MCMC methods produce a serially correlated, yet representative, sample from the desired distribution. As such it can be…

统计计算 · 统计学 2019-12-10 Dootika Vats , Nathan Robertson , James M Flegal , Galin L Jones

Constant-memory algorithms, also loosely called Markov chains, power the vast majority of probabilistic inference and machine learning applications today. A lot of progress has been made in constructing user-friendly APIs around these…

统计计算 · 统计学 2021-05-27 Pavel Sountsov , Alexey Radul , Srinivas Vasudevan

A Markov chain update scheme using a machine-learned flow-based generative model is proposed for Monte Carlo sampling in lattice field theories. The generative model may be optimized (trained) to produce samples from a distribution…

高能物理 - 格点 · 物理学 2019-09-10 M. S. Albergo , G. Kanwar , P. E. Shanahan

GAMMA_FLOW is an open-source Python package for real-time analysis of spectral data. It supports classification, denoising, decomposition, and outlier detection of both single- and multi-component spectra. Instead of relying on large,…

机器学习 · 计算机科学 2025-11-13 Viola Rädle , Tilman Hartwig , Benjamin Oesen , Emily Alice Kröger , Julius Vogt , Eike Gericke , Martin Baron

Flow cytometry (FC) is a single-cell profiling platform for measuring the phenotypes of individual cells from millions of cells in biological samples. FC employs high-throughput technologies and generates high-dimensional data, and hence…

定量方法 · 定量生物学 2015-01-16 Ariful Azad

Invertible convolutions have been an essential element for building expressive normalizing flow-based generative models since their introduction in Glow. Several attempts have been made to design invertible $k \times k$ convolutions that…

计算机视觉与模式识别 · 计算机科学 2023-01-24 Aditya Kallappa , Sandeep Nagar , Girish Varma

Monte Carlo (MC) simulations, particularly using FLUKA, are essential for replicating real-world scenarios across scientific and engineering fields. Despite the robustness and versatility, FLUKA faces significant limitations in automation…

人工智能 · 计算机科学 2024-10-22 Zavier Ndum Ndum , Jian Tao , John Ford , Yang Liu

Recently a machine learning approach to Monte-Carlo simulations called Neural Markov Chain Monte-Carlo (NMCMC) is gaining traction. In its most popular form it uses neural networks to construct normalizing flows which are then trained to…

机器学习 · 统计学 2022-03-01 Piotr Bialas , Piotr Korcyl , Tomasz Stebel

Sequential Monte Carlo Samplers are a class of stochastic algorithms for Monte Carlo integral estimation w.r.t. probability distributions, which combine elements of Markov chain Monte Carlo methods and importance sampling/resampling…

概率论 · 数学 2007-05-23 Andreas Eberle , Carlo Marinelli

Delayed-acceptance Markov chain Monte Carlo (DA-MCMC) samples from a probability distribution via a two-stages version of the Metropolis-Hastings algorithm, by combining the target distribution with a "surrogate" (i.e. an approximate and…

We study a normalizing flow in the latent space of a top-down generator model, in which the normalizing flow model plays the role of the informative prior model of the generator. We propose to jointly learn the latent space normalizing flow…

机器学习 · 统计学 2023-01-24 Jianwen Xie , Yaxuan Zhu , Yifei Xu , Dingcheng Li , Ping Li

A novel computationally efficient Markov chain Monte Carlo (MCMC) scheme for latent Gaussian models (LGMs) is proposed in this paper. The sampling scheme is a two block Gibbs sampling scheme designed to exploit the model structure of LGMs.…

统计计算 · 统计学 2015-06-23 Óli Páll Geirsson , Birgir Hrafnkelsson , Daniel Simpson , Helgi Sigurðarson

We consider the computational efficiency of Monte Carlo (MC) and Multilevel Monte Carlo (MLMC) methods applied to partial differential equations with random coefficients. These arise, for example, in groundwater flow modelling, where a…

数值分析 · 数学 2024-12-12 Anastasia Istratuca , Aretha Teckentrup

KMCLib is a general framework for lattice kinetic Monte Carlo (KMC) simulations. The program can handle simulations of the diffusion and reaction of millions of particles in one, two, or three dimensions, and is designed to be easily…

计算物理 · 物理学 2014-05-07 Mikael Leetmaa , Natalia V. Skorodumova

Global fits of physics models require efficient methods for exploring high-dimensional and/or multimodal posterior functions. We introduce a novel method for accelerating Markov Chain Monte Carlo (MCMC) sampling by pairing a…

高能物理 - 唯象学 · 物理学 2023-09-06 N. T. Hunt-Smith , W. Melnitchouk , F. Ringer , N. Sato , A. W Thomas , M. J. White

We introduce Preconditioned Monte Carlo (PMC), a novel Monte Carlo method for Bayesian inference that facilitates efficient sampling of probability distributions with non-trivial geometry. PMC utilises a Normalising Flow (NF) in order to…

天体物理仪器与方法 · 物理学 2022-08-24 Minas Karamanis , Florian Beutler , John A. Peacock , David Nabergoj , Uros Seljak

Along with the recent advances in scalable Markov Chain Monte Carlo methods, sampling techniques that are based on Langevin diffusions have started receiving increasing attention. These so called Langevin Monte Carlo (LMC) methods are based…

统计计算 · 统计学 2017-06-14 Umut Şimşekli