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State-space models (SSMs) are commonly used to model time series data where the observations depend on an unobserved latent process. However, inference on the model parameters of an SSM can be challenging, especially when the likelihood of…

Computation · Statistics 2023-08-08 Mary Llewellyn , Ruth King , Víctor Elvira , Gordon Ross

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…

Computational Engineering, Finance, and Science · Computer Science 2021-07-21 Luca Martino , Víctor Elvira , Javier López-Santiago , Gustau Camps-Valls

Bayesian models have become very popular over the last years in several fields such as signal processing, statistics, and machine learning. Bayesian inference requires the approximation of complicated integrals involving posterior…

Computation · Statistics 2021-07-20 Luca Martino , Víctor Elvira

Stochastic epidemic models describe the dynamics of an epidemic as a disease spreads through a population. Typically, only a fraction of cases are observed at a set of discrete times. The absence of complete information about the time…

Computation · Statistics 2017-02-14 Jonathan Fintzi , Xiang Cui , Jon Wakefield , Vladimir N. Minin

The availability of data sets with large numbers of variables is rapidly increasing. The effective application of Bayesian variable selection methods for regression with these data sets has proved difficult since available Markov chain…

Computation · Statistics 2019-05-08 Jim Griffin , Krys Latuszynski , Mark Steel

Time series of conformational dynamics in proteins are usually evaluated with hidden Markov models (HMMs). This approach works well if the number of states and their connectivity is known. However, for the multi-domain protein Hsp90, a…

Bayesian model selection provides a powerful framework for objectively comparing models directly from observed data, without reference to ground truth data. However, Bayesian model selection requires the computation of the marginal…

Methodology · Statistics 2024-01-17 Xiaohao Cai , Jason D. McEwen , Marcelo Pereyra

The proliferation of malware variants poses a significant challenges to traditional malware detection approaches, such as signature-based methods, necessitating the development of advanced machine learning techniques. In this research, we…

Machine Learning · Computer Science 2024-12-30 Ritik Mehta , Olha Jureckova , Mark Stamp

The study of animal behavioural states inferred through hidden Markov models and similar state switching models has seen a significant increase in popularity in recent years. The ability to account for varying levels of behavioural scale…

Computation · Statistics 2021-05-06 Giada Sacchi , Ben Swallow

Non-linear state space models are a widely-used class of models for biological, economic, and physical processes. Fitting these models to observed data is a difficult inference problem that has no straightforward solution. We take a…

Computation · Statistics 2013-05-03 Alexander Y. Shestopaloff , Radford M. Neal

This paper presents new theory and methodology for the Bayesian estimation of overfitted hidden Markov models, with finite state space. The goal is then to achieve posterior emptying of extra states. A prior configuration is constructed…

Methodology · Statistics 2016-02-09 Zoé van Havre , Judith Rousseau , Nicole White , Kerrie Mengersen

Multi-state models of cancer natural history are widely used for designing and evaluating cancer early detection strategies. Calibrating such models against longitudinal data from screened cohorts is challenging, especially when fitting…

Computation · Statistics 2025-08-14 Raphael Morsomme , Shannon Holloway , Marc Ryser , Jason Xu

In this article a flexible Bayesian non-parametric model is proposed for non-homogeneous hidden Markov models. The model is developed through the amalgamation of the ideas of hidden Markov models and predictor dependent stick-breaking…

Methodology · Statistics 2012-05-10 Abhra Sarkar , Anindya Bhadra , Bani K. Mallick

Stochastic state-transition models of infectious disease transmission can be used to deduce relevant drivers of transmission when fitted to data using statistically principled methods. Fitting this individual-level data requires inference…

Methodology · Statistics 2026-02-12 James Neill , Lloyd A. C. Chapman , Chris Jewell

In this paper we study asymptotic properties of different data-augmentation-type Markov chain Monte Carlo algorithms sampling from mixture models comprising discrete as well as continuous random variables. Of particular interest to us is…

Computation · Statistics 2014-04-04 Randal Douc , Florian Maire , Jimmy Olsson

This paper proposes a new Bayesian multiple change-point model which is based on the hidden Markov approach. The Dirichlet process hidden Markov model does not require the specification of the number of change-points a priori. Hence our…

Statistics Theory · Mathematics 2015-05-08 Stanley I. M. Ko , Terence T. L. Chong , Pulak Ghosh

We propose a new scheme for selecting pool states for the embedded Hidden Markov Model (HMM) Markov Chain Monte Carlo (MCMC) method. This new scheme allows the embedded HMM method to be used for efficient sampling in state space models…

Computation · Statistics 2016-07-12 Alexander Y. Shestopaloff , Radford M. Neal

Bayesian mixture models are widely applied for unsupervised learning and exploratory data analysis. Markov chain Monte Carlo based on Gibbs sampling and split-merge moves are widely used for inference in these models. However, both methods…

Machine Learning · Statistics 2014-06-03 Tue Herlau , Morten Mørup , Yee Whye Teh , Mikkel N. Schmidt

When performing Bayesian computations in practice, one is often faced with the challenge that the constituent model components and/or the data are only available in a distributed fashion, e.g. due to privacy concerns or sheer volume. While…

Computation · Statistics 2022-10-26 Joris Bierkens , Andrew Duncan

Hidden Markov models provide a natural statistical framework for the detection of the copy number variations (CNV) in genomics. In this paper, we consider a Hidden Markov Model involving several correlated hidden processes at the same time.…

Methodology · Statistics 2017-06-22 Xiaoqiang Wang , Emilie Lebarbier , Julie Aubert , Stéphane Robin