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We study a neural network framework for the numerical evaluation of Feynman loop integrals that are fundamental building blocks for perturbative computations of physical observables in gauge and gravity theories. We show that such a machine…

High Energy Physics - Theory · Physics 2023-12-12 Ryusuke Jinno , Gregor Kälin , Zhengwen Liu , Henrique Rubira

We consider the problem of estimating rare event probabilities, focusing on systems whose evolution is governed by differential equations with uncertain input parameters. If the system dynamics is expensive to compute, standard sampling…

Computation · Statistics 2019-11-05 Siddhant Wahal , George Biros

This paper explores the application of methods from information geometry to the sequential Monte Carlo (SMC) sampler. In particular the Riemannian manifold Metropolis-adjusted Langevin algorithm (mMALA) is adapted for the transition kernels…

Methodology · Statistics 2012-12-05 Aaron Sim , Sarah Filippi , Michael P. H. Stumpf

We have developed an innovative methodology for obtaining the neutron energy distribution from a time-of-flight (TOF) measurement based on the iterative Bayesian unfolding method and accurate Monte Carlo simulations. This methodology has…

Data Analysis, Statistics and Probability · Physics 2024-09-26 A. Pérez de Rada Fiol , D. Cano-Ott , T. Martínez , V. Alcayne , E. Mendoza , J. Plaza , A. Sanchez-Caballero , D. Villamarín

We introduce a particle-number reprojection method in the shell model Monte Carlo that enables the calculation of observables for a series of nuclei using a Monte Carlo sampling for a single nucleus. The method is used to calculate nuclear…

Nuclear Theory · Physics 2009-10-31 Y. Alhassid , S. Liu , H. Nakada

An accurate description of interactions between thermal neutrons (below 4 eV) and materials is key to simulate the transport of neutrons in a wide range of applications such as criticality-safety, reactor physics, compact accelerator-driven…

Computational Physics · Physics 2022-01-26 Loic Thulliez , Cédric Jouanne , Eric Dumonteil

Cryopreservation is beset with the challenge of protocol alignment across a wide range of cell types and process variables. By taking a cross-sectional assessment of previously published cryopreservation data (sample means and standard…

Quantitative Methods · Quantitative Biology 2014-04-08 S Sambu

We propose an algorithm for molecular dynamics or Monte Carlo simulations that uses an interpolation procedure to estimate potential energy values from energies and gradients evaluated previously at points of a simplicial mesh. We chose an…

Computational Physics · Physics 2020-01-07 Konstantin Karandashev , Jiri Vanicek

In this paper we propose an efficient stochastic optimization algorithm to search for Bayesian experimental designs such that the expected information gain is maximized. The gradient of the expected information gain with respect to…

Computation · Statistics 2022-02-03 Takashi Goda , Tomohiko Hironaka , Wataru Kitade , Adam Foster

In this paper, we propose a novel approach to Bayesian experimental design for non-exchangeable data that formulates it as risk-sensitive policy optimization. We develop the Inside-Out SMC$^2$ algorithm, a nested sequential Monte Carlo…

Machine Learning · Statistics 2024-05-30 Sahel Iqbal , Adrien Corenflos , Simo Särkkä , Hany Abdulsamad

Predictions of nuclear models guide the design of nuclear facilities to ensure their safe and efficient operation. Because nuclear models often do not perfectly reproduce available experimental data, decisions based on their predictions may…

Nuclear Theory · Physics 2018-11-22 Georg Schnabel

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

Data Analysis, Statistics and Probability · Physics 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

In this article, we describe a {\tt R} package for sampling from an empirical likelihood-based posterior using a Hamiltonian Monte Carlo method. Empirical likelihood-based methodologies have been used in Bayesian modeling of many problems…

Other Statistics · Statistics 2022-09-07 Dang Trung Kien , Neo Han Wei , Sanjay Chaudhuri

In computational inverse problems, it is common that a detailed and accurate forward model is approximated by a computationally less challenging substitute. The model reduction may be necessary to meet constraints in computing time when…

Methodology · Statistics 2018-02-14 Daniela Calvetti , Matthew M. Dunlop , Erkki Somersalo , Andrew M. Stuart

Sequential Monte Carlo algorithms, or Particle Filters, are Bayesian filtering algorithms which propagate in time a discrete and random approximation of the a posteriori distribution of interest. Such algorithms are based on Importance…

Computation · Statistics 2017-10-11 Roland Lamberti , Yohan Petetin , François Desbouvries , François Septier

The Organization for Economic Cooperation and Development (OECD) Working Party on Nuclear Criticality Safety (WPNCS) proposed a benchmark exercise to assess the performance of current nuclear data adjustment techniques applied to nonlinear…

Nuclear Theory · Physics 2026-02-18 Christopher Brady , Xu Wu

In Bayesian phylogenetics, our goal is to estimate the posterior distribution over phylogenetic trees. Markov chain Monte Carlo methods are widely used to approximate the phylogenetic posterior distributions. For large-scale sequence data,…

Methodology · Statistics 2026-05-12 Wentao Yu , Shijia Wang

Uncertainty of decisions in safety-critical engineering applications can be estimated on the basis of the Bayesian Markov Chain Monte Carlo (MCMC) technique of averaging over decision models. The use of decision tree (DT) models assists…

Artificial Intelligence · Computer Science 2010-12-03 Vitaly Schetinin , Jonathan Fieldsend , Derek Partridge , Wojtek Krzanowski , Richard Everson , Trevor Bailey , Adolfo Hernandez

A system to update estimates from a sequence of probability distributions is presented. The aim of the system is to quickly produce estimates with a user-specified bound on the Monte Carlo error. The estimates are based upon weighted…

Methodology · Statistics 2014-06-04 F. Din-Houn Lau , Axel Gandy

In this article we consider the application of multilevel Monte Carlo, for the estimation of normalizing constants. In particular we will make use of the filtering algorithm, the ensemble Kalman-Bucy filter (EnKBF), which is an N-particle…

Numerical Analysis · Mathematics 2022-09-20 Hamza Ruzayqat , Neil K. Chada , Ajay Jasra