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The hidden Markov model (HMM) is a generative model that treats sequential data under the assumption that each observation is conditioned on the state of a discrete hidden variable that evolves in time as a Markov chain. In this paper, we…

Artificial Intelligence · Computer Science 2011-09-07 Emanuele Coviello , Antoni B. Chan , Gert R. G. Lanckriet

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

Analysis of multivariate healthcare time series data is inherently challenging: irregular sampling, noisy and missing values, and heterogeneous patient groups with different dynamics violating exchangeability. In addition, interpretability…

Machine Learning · Computer Science 2023-11-15 Onur Poyraz , Pekka Marttinen

Modeling of high-dimensional data is very important to categorize different classes. We develop a new mixture model called Multinomial cluster-weighted model (MCWM). We derive the identifiability of a general class of MCWM. We estimate the…

Methodology · Statistics 2022-08-25 Kehinde Olobatuyi , Oludare Ariyo

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

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…

Machine Learning · Statistics 2012-06-25 Stevenn Volant , Caroline Bérard , Marie-Laure Martin-Magniette , Stéphane Robin

An intrinsic problem of classifiers based on machine learning (ML) methods is that their learning time grows as the size and complexity of the training dataset increases. For this reason, it is important to have efficient computational…

Machine Learning · Computer Science 2013-04-16 Khadoudja Ghanem

In the classical setting, the training of a Hidden Markov Model (HMM) typically relies on a single, sufficiently long observation sequence that can be regarded as representative of the underlying stochastic process. In this context, the…

Signal Processing · Electrical Eng. & Systems 2025-10-31 Margarita Cabrera-Bean , Josep Vidal , Sergio Fernandez-Bertolin , Albert Roso-Llorach , Concepcion Violan

We propose a mixture of latent trait models with common slope parameters (MCLT) for model-based clustering of high-dimensional binary data, a data type for which few established methods exist. Recent work on clustering of binary data, based…

Methodology · Statistics 2017-10-09 Yang Tang , Ryan P. Browne , Paul D. McNicholas

As one of Bayesian analysis tools, Hidden Markov Model (HMM) has been used to in extensive applications. Most HMMs are solved by Baum-Welch algorithm (BWHMM) to predict the model parameters, which is difficult to find global optimal…

Machine Learning · Statistics 2018-11-09 L. Chang , Yacine Ouzrout , Antoine Nongaillard , Abdelaziz Bouras

This paper introduces a novel model-based clustering approach for clustering time series which present changes in regime. It consists of a mixture of polynomial regressions governed by hidden Markov chains. The underlying hidden process for…

Machine Learning · Statistics 2013-12-30 Faicel Chamroukhi , Allou Samé , Patrice Aknin , Gérard Govaert

Sequence analysis is being more and more widely used for the analysis of social sequences and other multivariate categorical time series data. However, it is often complex to describe, visualize, and compare large sequence data, especially…

Computation · Statistics 2021-03-22 Satu Helske , Jouni Helske

There is an increase in interest to model driving maneuver patterns via the automatic unsupervised clustering of naturalistic sequential kinematic driving data. The patterns learned are often used in transportation research areas such as…

Machine Learning · Statistics 2023-11-14 Matthew Aguirre , Wenbo Sun , Jionghua , Jin , Yang Chen

A model based clustering procedure for data of mixed type, clustMD, is developed using a latent variable model. It is proposed that a latent variable, following a mixture of Gaussian distributions, generates the observed data of mixed type.…

Methodology · Statistics 2015-11-06 Damien McParland , Isobel Claire Gormley

We address the problem of analyzing sets of noisy time-varying signals that all report on the same process but confound straightforward analyses due to complex inter-signal heterogeneities and measurement artifacts. In particular we…

The Baum-Welsh algorithm together with its derivatives and variations has been the main technique for learning Hidden Markov Models (HMM) from observational data. We present an HMM learning algorithm based on the non-negative matrix…

Machine Learning · Computer Science 2011-01-11 George Cybenko , Valentino Crespi

We introduce a multivariate hidden Markov model to jointly cluster time-series observations with different support, i.e. circular and linear. Relying on the general projected normal distribution, our approach allows for bimodal and/or…

Applications · Statistics 2015-01-27 Gianluca Mastrantonio , Antonello Maruotti , Giovanna Jona Lasinio

Hidden Markov Models (HMM) have been used for several years in many time series analysis or pattern recognitions tasks. HMM are often trained by means of the Baum-Welch algorithm which can be seen as a special variant of an expectation…

Machine Learning · Computer Science 2016-05-30 Christian Gruhl , Bernhard Sick

The Hidden Markov Model (HMM) is one of the mainstays of statistical modeling of discrete time series, with applications including speech recognition, computational biology, computer vision and econometrics. Estimating an HMM from its…

Machine Learning · Statistics 2015-12-29 Fanny Yang , Sivaraman Balakrishnan , Martin J. Wainwright

Most existing approaches to clustering gene expression time course data treat the different time points as independent dimensions and are invariant to permutations, such as reversal, of the experimental time course. Approaches utilizing…

Machine Learning · Computer Science 2012-07-02 Matthew Beal , Praveen Krishnamurthy
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