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Factorial hidden Markov models (FHMMs) are powerful tools of modeling sequential data. Learning FHMMs yields a challenging simultaneous model selection issue, i.e., selecting the number of multiple Markov chains and the dimensionality of…

机器学习 · 统计学 2015-06-29 Shaohua Li , Ryohei Fujimaki , Chunyan Miao

This paper addresses the issue of model selection for hidden Markov models (HMMs). We generalize factorized asymptotic Bayesian inference (FAB), which has been recently developed for model selection on independent hidden variables (i.e.,…

机器学习 · 计算机科学 2012-06-22 Ryohei Fujimaki , Kohei Hayashi

Factorial Hidden Markov Models (FHMMs) are powerful models for sequential data but they do not scale well with long sequences. We propose a scalable inference and learning algorithm for FHMMs that draws on ideas from the stochastic…

机器学习 · 统计学 2016-10-31 Yin Cheng Ng , Pawel Chilinski , Ricardo Silva

We consider a hidden Markov model, where the signal process, given by a diffusion, is only indirectly observed through some noisy measurements. The article develops a variational method for approximating the hidden states of the signal…

最优化与控制 · 数学 2016-10-26 Tobias Sutter , Arnab Ganguly , Heinz Koeppl

Probabilistic inference provides a language for describing how organisms may learn from and adapt to their environment. The computations needed to implement probabilistic inference often require specific representations, akin to having the…

分子网络 · 定量生物学 2018-06-28 Yarden Katz , Michael Springer , Walter Fontana

We propose a novel, tractable latent state inference scheme for Markov jump processes, for which exact inference is often intractable. Our approach is based on an entropic matching framework that can be embedded into the well-known…

机器学习 · 计算机科学 2026-02-27 Yannick Eich , Bastian Alt , Heinz Koeppl

This study aims to estimate the parameters of a stochastic exposed-infected epidemiological model for the transmission dynamics of notifiable infectious diseases, based on observations related to isolated cases counts only. We use the…

应用统计 · 统计学 2024-04-15 Ibrahim Bouzalmat , Benoîte de Saporta , Solym M. Manou-Abi

We present a hybrid model of a biological filter, a genetic circuit which removes fast fluctuations in the cell's internal representation of the extra cellular environment. The model takes the classic feed-forward loop (FFL) motif and…

机器学习 · 计算机科学 2013-08-27 Andrea Ocone , Guido Sanguinetti

We propose a unified framework that extends the inference methods for classical hidden Markov models to continuous settings, where both the hidden states and observations occur in continuous time. Two different settings are analyzed: hidden…

统计方法学 · 统计学 2021-06-18 Qingcan Wang , Weinan E

In unsupervised classification, Hidden Markov Models (HMM) are used to account for a neighborhood structure between observations. The emission distributions are often supposed to belong to some parametric family. In this paper, a…

Revealing the functional sites of biological sequences, such as evolutionary conserved, structurally interacting or co-evolving protein sites, is a fundamental, and yet challenging task. Different frameworks and models were developed to…

定量方法 · 定量生物学 2019-06-07 Justas Dauparas , Haobo Wang , Avi Swartz , Peter Koo , Mor Nitzan , Sergey Ovchinnikov

Expectation propagation is a general prescription for approximation of integrals in statistical inference problems. Its literature is mainly concerned with Bayesian inference scenarios. However, expectation propagation can also be used to…

统计方法学 · 统计学 2018-05-23 P. Hall , I. M. Johnstone , J. T. Ormerod , M. P. Wand , J. C. F. Yu

Continuous-time Bayesian networks is a natural structured representation language for multicomponent stochastic processes that evolve continuously over time. Despite the compact representation, inference in such models is intractable even…

人工智能 · 计算机科学 2012-05-14 Ido Cohn , Tal El-Hay , Nir Friedman , Raz Kupferman

Spatio-temporal hidden Markov models are extremely difficult to estimate because their latent joint distributions are available only in trivial cases. In the estimation phase, these latent distributions are usually substituted with…

统计方法学 · 统计学 2025-09-19 Daniele Tancini , Riccardo Rastelli , Francesco Bartolucci

We introduce an extension of finite mixture models by incorporating skew-normal distributions within a Hidden Markov Model framework. By assuming a constant transition probability matrix and allowing emission distributions to vary according…

统计方法学 · 统计学 2025-09-25 Andrea Nigri , Marco Forti , Han Lin Shang

Motivated by applications in movement ecology, in this paper I propose a new class of integrated continuous-time hidden Markov models in which each observation depends on the underlying state of the process over the whole interval since the…

统计方法学 · 统计学 2019-10-01 Paul G Blackwell

Many natural and engineered systems can be modeled as discrete state Markov processes. Often, only a subset of states are directly observable. Inferring the conditional probability that a system occupies a particular hidden state, given the…

信号处理 · 电气工程与系统科学 2023-01-04 Daniel Chen , Alexander G. Strang , Andrew W. Eckford , Peter J. Thomas

[This paper was initially published in PHME conference in 2016, selected for further publication in International Journal of Prognostics and Health Management.] This paper describes an Autoregressive Partially-hidden Markov model (ARPHMM)…

机器学习 · 统计学 2021-05-04 Pablo Juesas , Emmanuel Ramasso , Sébastien Drujont , Vincent Placet

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…

统计方法学 · 统计学 2012-05-10 Abhra Sarkar , Anindya Bhadra , Bani K. Mallick

We consider the task of learning mappings from sequential data to real-valued responses. We present and evaluate an approach to learning a type of hidden Markov model (HMM) for regression. The learning process involves inferring the…

机器学习 · 计算机科学 2012-06-18 Keith Noto , Mark Craven
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