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Sampling from the lattice Gaussian distribution plays an important role in various research fields. In this paper, the Markov chain Monte Carlo (MCMC)-based sampling technique is advanced in several fronts. Firstly, the spectral gap for the…

信息论 · 计算机科学 2018-07-31 Zheng Wang , Cong Ling

Markov chain Monte Carlo (MCMC) is a powerful tool for sampling from complex probability distributions. Despite its versatility, MCMC often suffers from strong autocorrelation and the negative sign problem, leading to slowing down the…

统计力学 · 物理学 2024-12-05 Synge Todo

Photometric redshifts are estimated on the basis of template scenarios with the help of the code ZPEG, an extension of the galaxy evolution model PEGASE.2 and available on the PEGASE web site. The spectral energy distribution (SED)…

天体物理学 · 物理学 2009-11-07 Damien Le Borgne , Brigitte Rocca-Volmerange

This paper introduces a framework for speeding up Bayesian inference conducted in presence of large datasets. We design a Markov chain whose transition kernel uses an (unknown) fraction of (fixed size) of the available data that is randomly…

统计方法学 · 统计学 2018-06-01 Florian Maire , Nial Friel , Pierre Alquier

Markov Chain Monte Carlo (MCMC) methods are employed to sample from a given distribution of interest, whenever either the distribution does not exist in closed form, or, if it does, no efficient method to simulate an independent sample from…

统计计算 · 统计学 2008-07-22 Ioana A. Cosma , Masoud Asgharian

Sampling the three-dimensional (3D) spin glass -- i.e., generating equilibrium configurations of a 3D lattice with quenched random couplings -- is widely regarded as one of the central and long-standing open problems in statistical physics.…

统计力学 · 物理学 2025-09-30 Tao Chen , Jing Liu , Youjin Deng , Pan Zhang

Markov Chain Monte Carlo methods become increasingly popular in applied mathematics as a tool for numerical integration with respect to complex and high-dimensional distributions. However, application of MCMC methods to heavy tailed…

统计计算 · 统计学 2020-01-01 Denis Belomestny , Leonid Iosipoi

Markov Chain Monte Carlo (MCMC) methods are a powerful tool for computation with complex probability distributions. However the performance of such methods is critically dependant on properly tuned parameters, most of which are difficult if…

统计计算 · 统计学 2021-10-27 James A. Brofos , Marylou Gabrié , Marcus A. Brubaker , Roy R. Lederman

In this paper, we propose an efficient pseudo-marginal Markov chain Monte Carlo (MCMC) sampling approach to draw samples from posterior shape distributions for image segmentation. The computation time of the proposed approach is independent…

计算机视觉与模式识别 · 计算机科学 2018-09-05 Ertunc Erdil , Sinan Yildirim , Tolga Tasdizen , Mujdat Cetin

The cosmological exploitation of modern photometric galaxy surveys requires both accurate (unbiased) and precise (narrow) redshift probability distributions derived from broadband photometry. Existing methodologies do not meet those…

宇宙学与河外天体物理 · 物理学 2019-08-21 Boris Leistedt , David W. Hogg , Risa H. Wechsler , Joe DeRose

The joint retrieval of surface reflectances and atmospheric parameters in VSWIR imaging spectroscopy is a computationally challenging high-dimensional problem. Using NASA's Surface Biology and Geology mission as the motivational context,…

The detection and quantification of narrow emission lines in X-ray spectra is a challenging statistical task. The Poisson nature of the photon counts leads to local random fluctuations in the observed spectrum that often results in excess…

天体物理学 · 物理学 2009-11-13 Taeyoung Park , David A. van Dyk , Aneta Siemiginowska

Efficient sampling of many-dimensional and multimodal density functions is a task of great interest in many research fields. We describe an algorithm that allows parallelizing inherently serial Markov chain Monte Carlo (MCMC) sampling by…

统计计算 · 统计学 2020-08-10 Vasyl Hafych , Philipp Eller , Oliver Schulz , Allen Caldwell

We introduce a framework for the enhanced estimation of photometric redshifts using Self-Organising Maps (SOMs). Our method projects galaxy Spectral Energy Distributions (SEDs) onto a two-dimensional map, identifying regions that are…

It is demonstrated that the use of a Micrometric Thin $^{39}$K vapor Cell (MTC) and Saturated Absorption spectroscopy (SA) allows to form narrow atomic lines in transmission spectrum without unwanted Cross-Over (CO) resonances. Another…

原子物理 · 物理学 2022-09-28 Armen Sargsyan , Rodolphe Momier , Claude Leroy , David Sarkisyan

Handling big data has largely been a major bottleneck in traditional statistical models. Consequently, when accurate point prediction is the primary target, machine learning models are often preferred over their statistical counterparts for…

统计方法学 · 统计学 2021-04-02 Arindam Fadikar , Stefan M. Wild , Jonas Chaves-Montero

Every probability distribution can be approximated up to a given precision by a phase-type distribution, i.e. a distribution encoded by a continuous time Markov chain (CTMC). However, an excessive number of states in the corresponding CTMC…

性能 · 计算机科学 2014-07-01 Ľuboš Korenčiak , Jan Krčál , Vojtěch Řehák

For several decades now, Bayesian inference techniques have been applied to theories of particle physics, cosmology and astrophysics to obtain the probability density functions of their free parameters. In this study, we review and compare…

高能物理 - 唯象学 · 物理学 2025-09-03 Joshua Albert , Csaba Balazs , Andrew Fowlie , Will Handley , Nicholas Hunt-Smith , Roberto Ruiz de Austri , Martin White

In the modern galaxy surveys photometric redshifts play a central role in a broad range of studies, from gravitational lensing and dark matter distribution to galaxy evolution. Using a dataset of about 25,000 galaxies from the second data…

Markov Chain Monte Carlo (MCMC) sampler is widely used for cosmological parameter estimation from CMB and other data. However, due to the intrinsic serial nature of the MCMC sampler, convergence is often very slow. Here we present a fast…

宇宙学与河外天体物理 · 物理学 2014-08-12 Santanu Das , Tarun Souradeep
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