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Likelihood-free methods, such as approximate Bayesian computation, are powerful tools for practical inference problems with intractable likelihood functions. Markov chain Monte Carlo and sequential Monte Carlo variants of approximate…

Computation · Statistics 2019-02-26 David J. Warne , Ruth E. Baker , Matthew J. Simpson

This paper presents hep-aid, a modular Python library conceived for utilising, implementing, and developing parameter scan algorithms. Originally devised for sample-efficient, multi-objective active search approaches in computationally…

High Energy Physics - Phenomenology · Physics 2024-12-24 Mauricio A. Diaz , Srinandan Dasmahapatra , Stefano Moretti

In this paper, we present a new algorithm for parallel Monte Carlo tree search (MCTS). It is based on the pipeline pattern and allows flexible management of the control flow of the operations in parallel MCTS. The pipeline pattern provides…

Artificial Intelligence · Computer Science 2017-04-04 S. Ali Mirsoleimani , Aske Plaat , Jaap van den Herik , Jos Vermaseren

Since the {\tt KKMC} program was published for the first time over 20 years ago, it has gained popularity and was exploited in a broad spectrum of applications. The core part of the program itself did not change much. In contrast, some of…

High Energy Physics - Phenomenology · Physics 2021-01-27 A. Arbuzov , S. Jadach , Z. Wąs , B. F. L. Ward , S. A. Yost

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…

High Energy Physics - Phenomenology · Physics 2023-09-06 N. T. Hunt-Smith , W. Melnitchouk , F. Ringer , N. Sato , A. W Thomas , M. J. White

Markov-chain Monte Carlo sampling has become a standard technique for exploring the posterior distribution of cosmological parameters constrained by observations of CMB anisotropies. Given an infinite amount of time, any MCMC sampler will…

Astrophysics · Physics 2007-05-23 Anze Slosar , Michael Hobson

GNM: The MCMC Jagger. A rocking awesome sampler. This python package is an affine invariant Markov chain Monte Carlo (MCMC) sampler based on the dynamic Gauss-Newton-Metropolis (GNM) algorithm. The GNM algorithm is specialized in sampling…

Computation · Statistics 2020-01-13 Mehmet Ugurbil

Hamiltonian Monte Carlo (HMC) is a powerful Markov chain Monte Carlo (MCMC) algorithm for estimating expectations with respect to continuous un-normalized probability distributions. MCMC estimators typically have higher variance than…

Computation · Statistics 2020-03-04 Dan Piponi , Matthew D. Hoffman , Pavel Sountsov

Bayesian analysis is widely used in science and engineering for real-time forecasting, decision making, and to help unravel the processes that explain the observed data. These data are some deterministic and/or stochastic transformations of…

Optimization and Control · Mathematics 2020-02-24 Jiangjiang Zhang , Jasper A. Vrugt , Xiaoqing Shi , Guang Lin , Lingzao Zeng , Laosheng Wu

Quasi-Monte Carlo (QMC) methods for estimating integrals are attractive since the resulting estimators typically converge at a faster rate than pseudo-random Monte Carlo. However, they can be difficult to set up on arbitrary posterior…

Statistics Theory · Mathematics 2018-10-03 Tobias Schwedes , Ben Calderhead

Since the middle of the 1940's scientists have used Monte Carlo (MC) simulations to obtain information about physical processes. This has proved a accurate and and reliable method to obtain this information. Through out resent years…

Astrophysics of Galaxies · Physics 2012-07-02 Thomas Amby Ottosen

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

Sequential Monte Carlo (SMC) is a class of algorithms that approximate high-dimensional expectations of a Markov chain. SMC algorithms typically include a resampling step. There are many possible ways to resample, but the relative…

Numerical Analysis · Mathematics 2019-04-01 Robert J. Webber

This paper introduces methodology for performing Bayesian inference sequentially on a sequence of posteriors on spaces of different dimensions. We show how this may be achieved through the use of sequential Monte Carlo (SMC) samplers (Del…

Computation · Statistics 2020-06-02 Richard G Everitt , Richard Culliford , Felipe Medina-Aguayo , Daniel J Wilson

We develop a scalable multi-step Monte Carlo algorithm for inference under a large class of nonparametric Bayesian models for clustering and classification. Each step is "embarrassingly parallel" and can be implemented using the same Markov…

Computation · Statistics 2018-06-08 Yang Ni , Peter Müller , Maurice Diesendruck , Sinead Williamson , Yitan Zhu , Yuan Ji

Performing reliable Bayesian inference on a big data scale is becoming a keystone in the modern era of machine learning. A workhorse class of methods to achieve this task are Markov chain Monte Carlo (MCMC) algorithms and their design to…

Methodology · Statistics 2021-06-21 Vincent Plassier , Maxime Vono , Alain Durmus , Eric Moulines

As it has become common to use many computer cores in routine applications, finding good ways to parallelize popular algorithms has become increasingly important. In this paper, we present a parallelization scheme for Markov chain Monte…

Methodology · Statistics 2016-06-01 Guillaume W. Basse , Natesh S. Pillai , Aaron Smith

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

Generalized-ensemble Monte Carlo simulations such as the multicanonical method and similar techniques are among the most efficient approaches for simulations of systems undergoing discontinuous phase transitions or with rugged free- energy…

Computational Physics · Physics 2018-02-06 Jonathan Gross , Johannes Zierenberg , Martin Weigel , Wolfhard Janke

Most scientific domains elicit the development of efficient algorithms and accessible scientific software. This thesis unifies our developments in three broad domains: Quasi-Monte Carlo (QMC) methods for efficient high-dimensional…

Machine Learning · Statistics 2025-12-01 Aleksei G. Sorokin