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We propose a new computationally efficient sampling scheme for Bayesian inference involving high dimensional probability distributions. Our method maps the original parameter space into a low-dimensional latent space, explores the latent…

统计计算 · 统计学 2019-10-15 Babak Shahbaba , Luis Martinez Lomeli , Tian Chen , Shiwei Lan

Medical imaging systems are often evaluated and optimized via objective, or task-specific, measures of image quality (IQ) that quantify the performance of an observer on a specific clinically-relevant task. The performance of the Bayesian…

信号处理 · 电气工程与系统科学 2023-04-04 Weimin Zhou , Umberto Villa , Mark A. Anastasio

This paper discusses the application of a Bayesian neural network based on the Markov Chain Monte Carlo method in medical image classification with small samples. Experimental results on two medical image datasets, including lung X-ray…

统计计算 · 统计学 2024-09-20 Mingyu Sun

In this paper, we propose an approach for an application of Bayesian optimization using Sequential Monte Carlo (SMC) and concepts from the statistical physics of classical systems. Our method leverages the power of modern machine learning…

统计计算 · 统计学 2024-09-06 Anton Lebedev , Thomas Warford , M. Emre Şahin

Propagation of charged cosmic-rays in the Galaxy depends on the transport parameters, whose number can be large depending on the propagation model under scrutiny. A standard approach for determining these parameters is a manual scan,…

天体物理学 · 物理学 2009-05-13 A. Putze , L. Derome , D. Maurin , L. Perotto , R. Taillet

We propose a Monte Carlo algorithm to sample from high dimensional probability distributions that combines Markov chain Monte Carlo and importance sampling. We provide a careful theoretical analysis, including guarantees on robustness to…

统计计算 · 统计学 2019-09-18 Giacomo Zanella , Gareth Roberts

We consider generalizations of the classical inverse problem to Bayesien type estimators, where the result is not one optimal parameter but an optimal probability distribution in parameter space. The practical computational tool to compute…

最优化与控制 · 数学 2024-05-03 Michael Herty , Christian Ringhofer

In many inference problems, the evaluation of complex and costly models is often required. In this context, Bayesian methods have become very popular in several fields over the last years, in order to obtain parameter inversion, model…

计算工程、金融与科学 · 计算机科学 2021-07-21 Luca Martino , Víctor Elvira , Javier López-Santiago , Gustau Camps-Valls

Markov Chain Monte Carlo (MCMC) proves to be powerful for Bayesian inference and in particular for exoplanet radial velocity fitting because MCMC provides more statistical information and makes better use of data than common approaches like…

天体物理仪器与方法 · 物理学 2014-01-30 Fengji Hou , Jonathan Goodman , David W. Hogg , Jonathan Weare , Christian Schwab

Bayesian inference using Markov Chain Monte Carlo (MCMC) on large datasets has developed rapidly in recent years. However, the underlying methods are generally limited to relatively simple settings where the data have specific forms of…

统计方法学 · 统计学 2020-02-18 Robert Salomone , Matias Quiroz , Robert Kohn , Mattias Villani , Minh-Ngoc Tran

A new catalog of visual double systems containing eclipsing binaries as one component is presented. The main purpose of this catalog is to compile a complete list of all known multiples of this variety, both for current analysis and to…

太阳与恒星天体物理 · 物理学 2009-07-30 P. Zasche , M. Wolf , W. I. Hartkopf , P. Svoboda , R. Uhlar , A. Liakos , K. Gazeas

To improve the efficiency of Monte Carlo estimation, practitioners are turning to biased Markov chain Monte Carlo procedures that trade off asymptotic exactness for computational speed. The reasoning is sound: a reduction in variance due to…

机器学习 · 统计学 2019-01-03 Jackson Gorham , Lester Mackey

Context. The CARMENES spectrograph is surveying ~300 M dwarf stars in search for exoplanets. Among the target stars, spectroscopic binary systems have been discovered, which can be used to measure fundamental properties of stars. Aims.…

This paper proposes a new randomized strategy for adaptive MCMC using Bayesian optimization. This approach applies to non-differentiable objective functions and trades off exploration and exploitation to reduce the number of potentially…

统计计算 · 统计学 2011-11-01 Nimalan Mahendran , Ziyu Wang , Firas Hamze , Nando de Freitas

We propose a novel portfolio selection approach that manages to ease some of the problems that characterise standard expected utility maximisation. The optimal portfolio is no longer defined as the extremum of a suitably chosen utility…

凝聚态物理 · 物理学 2009-09-29 P. Rossi , M. Tavoni , F. Cocco , R. Marschinski

We introduce a Markov Chain Monte Carlo simulation and data analysis package that extends the CMBEASY software. We have taken special care in implementing an adaptive step algorithm for the Markov Chain Monte Carlo in order to improve…

天体物理学 · 物理学 2007-05-23 Michael Doran , Christian M. Mueller

Monte Carlo methods are widely used to estimate observables in many-body quantum systems. However, conventional sampling schemes often require a large number of samples to achieve sufficient accuracy. In this work we propose the…

量子物理 · 物理学 2026-01-29 Wenxuan Zhang , Dingzu Wang , Dario Poletti

Due to the escalating growth of big data sets in recent years, new Bayesian Markov chain Monte Carlo (MCMC) parallel computing methods have been developed. These methods partition large data sets by observations into subsets. However, for…

统计方法学 · 统计学 2019-01-21 Zheng Wei , Erin M. Conlon

We investigate the use of a Hamiltonian Monte Carlo to map out the posterior density function for supermassive black hole binaries. While previous Markov Chain Monte Carlo (MCMC) methods, such as Metropolis-Hastings MCMC, have been…

广义相对论与量子宇宙学 · 物理学 2019-08-19 Edward K. Porter , Jérôme Carré

The coalescence of binary neutron stars are one of the main sources of gravitational waves for ground-based gravitational wave detectors. As Bayesian inference for binary neutron stars is computationally expensive, more efficient and faster…

广义相对论与量子宇宙学 · 物理学 2019-11-20 Yann Bouffanais , Edward K. Porter