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Various Monte Carlo programs, developed either by small groups or widely available, have been used to calculate the effects of decays of radioactive chains, from the original parent nucleus to the final stable isotopes. These chains include…

Nuclear Experiment · Physics 2015-05-27 Kareem Kazkaz , Nick Walsh

Due to its constrained support, the Dirichlet distribution is uniquely suited to many applications. The constraints that make it powerful, however, can also hinder practical implementations, particularly those utilizing Markov Chain Monte…

Data Analysis, Statistics and Probability · Physics 2015-03-02 M. J. Betancourt

This paper concerns the introduction of a new Markov Chain Monte Carlo scheme for posterior sampling in Bayesian nonparametric mixture models with priors that belong to the general Poisson-Kingman class. We present a novel compact way of…

Computation · Statistics 2018-02-22 Maria Lomeli , Stefano Favaro , Yee Whye Teh

Markov Chain Monte Carlo (MCMC) algorithms are widely used for stochastic optimization, sampling, and integration of mathematical objective functions, in particular, in the context of Bayesian inverse problems and parameter estimation. For…

Data Analysis, Statistics and Probability · Physics 2020-10-12 Shashank Kumbhare , Amir Shahmoradi

MCBooster is a header-only, C++11-compliant library that provides routines to generate and perform calculations on large samples of phase space Monte Carlo events. To achieve superior performance, MCBooster is capable to perform most of its…

High Energy Physics - Experiment · Physics 2017-02-21 A. A. Alves , M. D. Sokoloff

We apply Monte Carlo Markov Chain methods to the stellar parameter estimation problem. This technique is useful when dealing with non-linear models and allows to derive realistic error bars on the inferred parameters. We give the first…

Astrophysics · Physics 2008-03-19 M. Bazot , S. Bourguignon , J. Christensen-Dalsgaard

Constraints can be interpreted in a broad sense as any kind of explicit restriction over the parameters. While some constraints are defined directly on the parameter space, when they are instead defined by known behaviour on the model,…

Methodology · Statistics 2015-02-27 Shirin Golchi , David A. Campbell

We propose a novel stochastic algorithm that randomly samples entire rows and columns of the matrix as a way to approximate an arbitrary matrix function using the power series expansion. This contrasts with existing Monte Carlo methods,…

Data Structures and Algorithms · Computer Science 2024-09-23 Nicolas L. Guidotti , Juan A. Acebrón , José Monteiro

Markov chain Monte Carlo (MCMC) algorithms are generally regarded as the gold standard technique for Bayesian inference. They are theoretically well-understood and conceptually simple to apply in practice. The drawback of MCMC is that in…

Computation · Statistics 2019-07-17 Christopher Nemeth , Paul Fearnhead

Diagnosing convergence of Markov chain Monte Carlo is crucial and remains an essentially unsolved problem. Among the most popular methods, the potential scale reduction factor, commonly named $\hat{R}$, is an indicator that monitors the…

Statistics Theory · Mathematics 2023-03-06 Théo Moins , Julyan Arbel , Anne Dutfoy , Stéphane Girard

Sampling from complicated probability distributions is a hard computational problem arising in many fields, including statistical physics, optimization, and machine learning. Quantum computers have recently been used to sample from…

The status of implementation of new hadronic currents into the Monte Carlo system for simulation of tau-lepton production and decay in high-energy accelerator experiments is reviewed. Since the tau-lepton conference in 2010 substantial…

High Energy Physics - Phenomenology · Physics 2015-06-04 Z. Was

In parameter estimation problems one computes a posterior distribution over uncertain parameters defined jointly by a prior distribution, a model, and noisy data. Markov Chain Monte Carlo (MCMC) is often used for the numerical solution of…

Numerical Analysis · Mathematics 2017-11-15 Matthias Morzfeld , Marcus S. Day , Ray W. Grout , George Shu Heng Pau , Stefan A. Finsterle , John B. Bell

We propose a sequential Markov chain Monte Carlo (SMCMC) algorithm to sample from a sequence of probability distributions, corresponding to posterior distributions at different times in on-line applications. SMCMC proceeds as in usual MCMC…

Statistics Theory · Mathematics 2013-08-20 Yun Yang , David B. Dunson

We describe a novel switching algorithm based on a ``reverse'' Monte Carlo method, in which the potential is stochastically modified before the system configuration is moved. This new algorithm facilitates a generalized formulation of…

Soft Condensed Matter · Physics 2009-11-13 C. H. Mak , Arun K. Sharma

A new release of the Monte Carlo program Herwig++ (version 2.0) is now available. This is the first version of the program which can be used for hadron-hadron physics and includes the full simulation of both initial- and final-state QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Gieseke , D. Grellscheid , K. Hamilton , A. Ribon , P. Richardson , M. H. Seymour , P. Stephens , B. R. Webber

Markov chain Monte Carlo is a class of algorithms for drawing Markovian samples from high-dimensional target densities to approximate the numerical integration associated with computing statistical expectation, especially in Bayesian…

Computation · Statistics 2018-03-28 Khoa T. Tran

Leveraging Markov chain Monte Carlo (MCMC) optimization of the F-statistic, we introduce a method for the hierarchical follow-up of continuous gravitational wave candidates identified by wide-parameter space semi-coherent searches. We…

Instrumentation and Methods for Astrophysics · Physics 2018-06-06 Gregory Ashton , Reinhard Prix

Many random processes can be simulated as the output of a deterministic model accepting random inputs. Such a model usually describes a complex mathematical or physical stochastic system and the randomness is introduced in the input…

Machine Learning · Statistics 2012-11-21 A. Gokcen Mahmutoglu , Alper T. Erdogan , Alper Demir

Hutchinson's method estimates the trace of a matrix function $f(D)$ stochastically using samples $\tau^Hf(D)\tau$, where the components of the random vectors $\tau$ obey an isotropic probability distribution. Estimating the trace of the…

High Energy Physics - Lattice · Physics 2023-03-22 Andreas Frommer , Mostafa Nasr Khalil
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