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We analyse computational efficiency of Metropolis-Hastings algorithms with stochastic AR(1) process proposals. These proposals include, as a subclass, discretized Langevin diffusion (e.g. MALA) and discretized Hamiltonian dynamics (e.g.…

Computation · Statistics 2016-05-23 Richard A. Norton , Colin Fox

An important challenge in machine translation (MT) is to generate high-quality and diverse translations. Prior work has shown that the estimated likelihood from the MT model correlates poorly with translation quality. In contrast, quality…

Computation and Language · Computer Science 2024-10-17 Gonçalo R. A. Faria , Sweta Agrawal , António Farinhas , Ricardo Rei , José G. C. de Souza , André F. T. Martins

Bayesian regression trees are flexible non-parametric models that are well suited to many modern statistical regression problems. Many such tree models have been proposed, from the simple single- tree model to more complex tree ensembles.…

Computation · Statistics 2013-12-09 M. T. Pratola

Hamiltonian Monte Carlo (HMC) is a state-of-the-art Markov chain Monte Carlo sampling algorithm for drawing samples from smooth probability densities over continuous spaces. We study the variant most widely used in practice, Metropolized…

Machine Learning · Statistics 2021-01-12 Yuansi Chen , Raaz Dwivedi , Martin J. Wainwright , Bin Yu

Hamiltonian Monte Carlo (HMC) is a widely used sampler for continuous probability distributions. In many cases, the underlying Hamiltonian dynamics exhibit a phenomenon of resonance which decreases the efficiency of the algorithm and makes…

Computation · Statistics 2023-02-23 Lionel Riou-Durand , Pavel Sountsov , Jure Vogrinc , Charles C. Margossian , Sam Power

Markov chain Monte Carlo methods have become popular in statistics as versatile techniques to sample from complicated probability distributions. In this work, we propose a method to parameterize and train transition kernels of Markov chains…

Machine Learning · Computer Science 2024-06-05 Evgenii Egorov , Ricardo Valperga , Efstratios Gavves

Proposals for Metropolis-Hastings MCMC derived by discretizing Langevin diffusion or Hamiltonian dynamics are examples of stochastic autoregressive proposals that form a natural wider class of proposals with equivalent computability. We…

Computation · Statistics 2016-10-05 Richard A. Norton , Colin Fox

This paper introduces the MCTS algorithm to the financial world and focuses on solving significant multi-period financial planning models by combining a Monte Carlo Tree Search algorithm with a deep neural network. The MCTS provides an…

Computational Finance · Quantitative Finance 2022-05-19 Afşar Onat Aydınhan , Xiaoyue Li , John M. Mulvey

The purpose of this paper is to introduce a new Markov chain Monte Carlo method and exhibit its efficiency by simulation and high-dimensional asymptotic theory. Key fact is that our algorithm has a reversible proposal transition kernel,…

Methodology · Statistics 2014-12-22 Kengo Kamatani

We consider the recently introduced Transformation-based Markov Chain Monte Carlo (TMCMC) (Dutta and Bhattacharya (2014)), a methodology that is designed to update all the parameters simultaneously using some simple deterministic…

Methodology · Statistics 2017-01-24 Kushal Kumar Dey , Sourabh Bhattacharya

A traditional and intuitively appealing Multi-Task Multiple Kernel Learning (MT-MKL) method is to optimize the sum (thus, the average) of objective functions with (partially) shared kernel function, which allows information sharing amongst…

Machine Learning · Computer Science 2014-04-14 Cong Li , Michael Georgiopoulos , Georgios C. Anagnostopoulos

Probabilistic modeling provides the capability to represent and manipulate uncertainty in data, models, predictions and decisions. We are concerned with the problem of learning probabilistic models of dynamical systems from measured data.…

Computation · Statistics 2018-03-14 Thomas B. Schön , Andreas Svensson , Lawrence Murray , Fredrik Lindsten

In recent times empirical likelihood has been widely applied under Bayesian framework. Markov chain Monte Carlo (MCMC) methods are frequently employed to sample from the posterior distribution of the parameters of interest. However,…

Methodology · Statistics 2022-09-07 Sanjay Chaudhuri , Teng Yin

While recent work has shown that scores from models trained by the ubiquitous masked language modeling (MLM) objective effectively discriminate probable from improbable sequences, it is still an open question if these MLMs specify a…

Machine Learning · Computer Science 2022-03-16 Kartik Goyal , Chris Dyer , Taylor Berg-Kirkpatrick

The Metropolis-Hastings algorithm has been extensively studied in the estimation and simulation literature, with most prior work focusing on convergence behavior and asymptotic theory. However, its covariance structure-an important…

Computation · Statistics 2026-03-03 Jingyi Zhang , James C. Spall

Bayesian modelling and computational inference by Markov chain Monte Carlo (MCMC) is a principled framework for large-scale uncertainty quantification, though is limited in practice by computational cost when implemented in the simplest…

Computation · Statistics 2020-09-21 Colin Fox , Tiangang Cui , Markus Neumayer

We construct an adaptive independent Metropolis-Hastings sampler that uses a mixture of normals as a proposal distribution. To take full advantage of the potential of adaptive sampling our algorithm updates the mixture of normals…

Computation · Statistics 2008-01-15 P. Giordani , R. Kohn

Bayesian inference via standard Markov Chain Monte Carlo (MCMC) methods is too computationally intensive to handle large datasets, since the cost per step usually scales like $\Theta(n)$ in the number of data points $n$. We propose the…

Machine Learning · Statistics 2019-06-12 Robert Cornish , Paul Vanetti , Alexandre Bouchard-Côté , George Deligiannidis , Arnaud Doucet

Piecewise-deterministic Markov process (PDMP) samplers constitute a state-of-the-art Markov chain Monte Carlo paradigm in Bayesian computation, with examples including the zig-zag and bouncy particle sampler (bps). Recent work on the…

Computation · Statistics 2026-03-10 Andrew Chin , Akihiko Nishimura

We consider deployment of the particle filter on modern massively parallel hardware architectures, such as Graphics Processing Units (GPUs), with a focus on the resampling stage. While standard multinomial and stratified resamplers require…

Computation · Statistics 2012-02-29 Lawrence Murray