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The efficiency of Hamiltonian Monte Carlo (HMC) can suffer when sampling a distribution with a wide range of length scales, because the small step sizes needed for stability in high-curvature regions are inefficient elsewhere. To address…

Machine Learning · Statistics 2023-11-09 Chirag Modi , Alex Barnett , Bob Carpenter

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 this work, we introduce three algorithmic improvements to reduce the cost and improve the scaling of orbital space variational Monte Carlo (VMC). First, we show that by appropriately screening the one- and two-electron integrals of the…

Chemical Physics · Physics 2018-07-30 Iliya Sabzevari , Sandeep Sharma

In this paper, we study an application of deep learning to the advanced LIGO and advanced Virgo coincident detection of gravitational waves (GWs) from compact binary star mergers. This deep learning method is an extension of the Deep…

Instrumentation and Methods for Astrophysics · Physics 2019-02-20 Xilong Fan , Jin Li , Xin Li , Yuanhong Zhong , Junwei Cao

With the recently increased interest in probabilistic models, the efficiency of an underlying sampler becomes a crucial consideration. Hamiltonian Monte Carlo (HMC) is one popular option for models of this kind. Performance of the method,…

One of the key challenges of real-time detection and parameter estimation of gravitational waves from compact binary mergers is the computational cost of conventional matched-filtering and Bayesian inference approaches. In particular, the…

Instrumentation and Methods for Astrophysics · Physics 2021-07-30 Plamen G. Krastev , Kiranjyot Gill , V. Ashley Villar , Edo Berger

This paper considers Bayesian parameter estimation of dynamic systems using a Markov Chain Monte Carlo (MCMC) approach. The Metroplis-Hastings (MH) algorithm is employed, and the main contribution of the paper is to examine and illustrate…

Applications · Statistics 2021-10-18 Johannes Hendriks , Adrian Wills , Brett Ninness , Johan Dahlin

Bayesian network classifiers (BNCs) possess a number of properties desirable for a modern classifier: They are easily interpretable, highly scalable, and offer adaptable complexity. However, traditional methods for learning BNCs have…

Machine Learning · Computer Science 2025-05-30 Connor Cooper , Geoffrey I. Webb , Daniel F. Schmidt

In the 20+ years of Doppler observations of stars, scientists have uncovered a diverse population of extrasolar multi-planet systems. A common technique for characterizing the orbital elements of these planets is Markov chain Monte Carlo…

Earth and Planetary Astrophysics · Physics 2015-06-18 Benjamin E. Nelson , Eric B. Ford , Matthew J. Payne

Nested sampling (NS) is the preferred stochastic sampling algorithm for gravitational-wave inference for compact binary coalenscences (CBCs). It can handle the complex nature of the gravitational-wave likelihood surface and provides an…

Instrumentation and Methods for Astrophysics · Physics 2025-10-08 Michael J. Williams , Minas Karamanis , Yilin Luo , Uroš Seljak

Quantifying the uncertainty in model parameters and output is a critical component in model-driven decision support systems for groundwater management. This paper presents a novel algorithmic approach which fuses Markov Chain Monte Carlo…

Computation · Statistics 2021-05-26 Mikkel B. Lykkegaard , Tim J. Dodwell , David Moxey

Bayesian formulation of modern day signal processing problems has called for improved Markov chain Monte Carlo (MCMC) sampling algorithms for inference. The need for efficient sampling techniques has become indispensable for high…

Computation · Statistics 2025-10-28 Apratim Shukla , Dootika Vats , Eric C. Chi

The complexity of the Metropolis-Hastings (MH) algorithm arises from the requirement of a likelihood evaluation for the full data set in each iteration. Payne and Mallick (2015) propose to speed up the algorithm by a delayed acceptance…

Computation · Statistics 2017-03-23 Matias Quiroz , Minh-Ngoc Tran , Mattias Villani , Robert Kohn

Probabilistic programming uses programs to express generative models whose posterior probability is then computed by built-in inference engines. A challenging goal is to develop general purpose inference algorithms that work out-of-the-box…

Machine Learning · Computer Science 2022-11-03 Carol Mak , Fabian Zaiser , Luke Ong

We present a Metropolis-Hastings Markov chain Monte Carlo (MCMC) algorithm for detecting hidden variables in a continuous time Bayesian network (CTBN), which uses reversible jumps in the sense defined by (Green 1995). In common with several…

Methodology · Statistics 2014-03-18 Blazej Miasojedow , Wojciech Niemiro , John Noble , Krzysztof Opalski

In this paper, we present a novel approach to accelerate the Bayesian inference process, focusing specifically on the nested sampling algorithms. Bayesian inference plays a crucial role in cosmological parameter estimation, providing a…

Instrumentation and Methods for Astrophysics · Physics 2024-10-17 Isidro Gómez-Vargas , J. Alberto Vázquez

We present the first application of deep learning forecasting for binary neutron stars, neutron star - black hole systems, and binary black hole mergers that span an eccentricity range e <= 0.9. We train neural networks that describe these…

General Relativity and Quantum Cosmology · Physics 2021-10-19 Wei Wei , E. A. Huerta , Mengshen Yun , Nicholas Loutrel , Md Arif Shaikh , Prayush Kumar , Roland Haas , Volodymyr Kindratenko

Hamiltonian Monte Carlo has emerged as a standard tool for posterior computation. In this article, we present an extension that can efficiently explore target distributions with discontinuous densities. Our extension in particular enables…

Computation · Statistics 2020-06-09 Akihiko Nishimura , David Dunson , Jianfeng Lu

Nonlinear non-Gaussian state-space models arise in numerous applications in statistics and signal processing. In this context, one of the most successful and popular approximation techniques is the Sequential Monte Carlo (SMC) algorithm,…

Computation · Statistics 2016-04-20 Francois Septier , Gareth W. Peters

Hamiltonian Monte Carlo (HMC) is a Markov chain Monte Carlo method that allows to sample high dimensional probability measures. It relies on the integration of the Hamiltonian dynamics to propose a move which is then accepted or rejected…

Numerical Analysis · Mathematics 2023-08-08 Tony Lelièvre , Régis Santet , Gabriel Stoltz