English
Related papers

Related papers: Factorized Asymptotic Bayesian Hidden Markov Model…

200 papers

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

A Hidden Markov Model (HMM) is a common statistical model which is widely used for analysis of biological sequence data and other sequential phenomena. In the present paper we show how HMMs can be extended with side-constraints and present…

Artificial Intelligence · Computer Science 2010-08-02 Henning Christiansen , Christian Theil Have , Ole Torp Lassen , Matthieu Petit

The technological applications of hidden Markov models have been extremely diverse and successful, including natural language processing, gesture recognition, gene sequencing, and Kalman filtering of physical measurements. HMMs are highly…

Algebraic Geometry · Mathematics 2012-09-04 Andrew J. Critch

The hidden Markov model (HMM) is a widely-used generative model that copes with sequential data, assuming that each observation is conditioned on the state of a hidden Markov chain. In this paper, we derive a novel algorithm to cluster HMMs…

Machine Learning · Computer Science 2012-10-26 Emanuele Coviello , Antoni B. Chan , Gert R. G. Lanckriet

A vital problem in solving classification or regression problem is to apply feature engineering and variable selection on data before fed into models.One of a most popular feature engineering method is to discretisize continous variable…

Applications · Statistics 2020-09-23 Weijian Luo , Yongxian Long

Dyadic Data Prediction (DDP) is an important problem in many research areas. This paper develops a novel fully Bayesian nonparametric framework which integrates two popular and complementary approaches, discrete mixed membership modeling…

Machine Learning · Computer Science 2016-01-15 Guangyong Chen , Fengyuan Zhu , Pheng Ann Heng

We address the multiple testing problem under the assumption that the true/false hypotheses are driven by a Hidden Markov Model (HMM), which is recognized as a fundamental setting to model multiple testing under dependence since the seminal…

Methodology · Statistics 2021-05-04 Marie Perrot-Dockès , Gilles Blanchard , Pierre Neuvial , Etienne Roquain

Selecting between different dependency structures of hidden Markov random field can be very challenging, due to the intractable normalizing constant in the likelihood. We answer this question with approximate Bayesian computation (ABC)…

Statistics Theory · Mathematics 2019-09-04 Julien Stoehr , Pierre Pudlo , Lionel Cucala

The Hidden Markov Model (HMM) is a widely-used statistical model for handling sequential data. However, the presence of missing observations in real-world datasets often complicates the application of the model. The EM algorithm and Gibbs…

Machine Learning · Statistics 2026-01-06 Dongrong Li , Tianwei Yu , Xiaodan Fan

The forgetting of the initial distribution for discrete Hidden Markov Models (HMM) is addressed: a new set of conditions is proposed, to establish the forgetting property of the filter, at a polynomial and geometric rate. Both a…

Statistics Theory · Mathematics 2008-07-18 Randal Douc , Gersende Fort , Eric Moulines , Pierre Priouret

Automated fault localization is an important issue in model validation and verification. It helps the end users in analyzing the origin of failure. In this work, we show the early experiments with probabilistic analysis approaches in fault…

Software Engineering · Computer Science 2016-11-21 Ning Ge , Marc Pantel , Xavier Crégut

Standard practice in Hidden Markov Model (HMM) selection favors the candidate with the highest full-sequence likelihood, although this is equivalent to making a decision based on a single realization. We introduce a \emph{fragment-based}…

Methodology · Statistics 2025-05-01 Carlos M. Hernandez-Suarez , Osval A. Montesinos-López

We extend the Bayesian Information Criterion (BIC), an asymptotic approximation for the marginal likelihood, to Bayesian networks with hidden variables. This approximation can be used to select models given large samples of data. The…

Machine Learning · Computer Science 2015-05-19 Dan Geiger , David Heckerman , Christopher Meek

The article studies different methods for estimating the Viterbi path in the Bayesian framework. The Viterbi path is an estimate of the underlying state path in hidden Markov models (HMMs), which has a maximum posterior probability (MAP).…

Computation · Statistics 2019-05-14 Jüri Lember , Dario Gasbarra , Alexey Koloydenko , Kristi Kuljus

In this paper, we present the Inter-Battery Topic Model (IBTM). Our approach extends traditional topic models by learning a factorized latent variable representation. The structured representation leads to a model that marries benefits…

Machine Learning · Computer Science 2016-07-29 Cheng Zhang , Hedvig Kjellstrom , Carl Henrik Ek

Bayesian phylogenetic methods are generating noticeable enthusiasm in the field of molecular systematics. Many phylogenetic models are often at stake and different approaches are used to compare them within a Bayesian framework. The Bayes…

Computation · Statistics 2010-06-22 Serena Arima , Luca Tardella

Non-linear hierarchical models are commonly used in many disciplines. However, inference in the presence of non-nested effects and on large datasets is challenging and computationally burdensome. This paper provides two contributions to…

Methodology · Statistics 2021-10-22 Max Goplerud

Hidden Markov Models (HMMs) are fundamental for modeling sequential data, yet learning their parameters from observations remains challenging. Classical methods like the Baum-Welch algorithm are computationally intensive and prone to local…

Machine Learning · Computer Science 2026-04-27 Reginald Zhiyan Chen , Heng-Sheng Chang , Prashant G. Mehta

In this work we propose a Bayesian framework for data fusion of multivariate signals which arises in imaging systems. More specifically, we consider the case where we have observed two images of the same object through two different imaging…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Olivier Feron , Ali Mohammad-Djafari

We consider a class of filtering problems for large populations where each individual is modeled by the same hidden Markov model (HMM). In this paper, we focus on aggregate inference problems in HMMs with discrete state space and continuous…

Machine Learning · Statistics 2020-11-09 Qinsheng Zhang , Rahul Singh , Yongxin Chen