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Hidden Markov models (HMM) have been widely used by scientists to model stochastic systems: the underlying process is a discrete Markov chain and the observations are noisy realizations of the underlying process. Determining the number of…

Statistics Theory · Mathematics 2024-07-18 Yang Chen , Cheng-Der Fuh , Chu-Lan Michael Kao

Datasets are essential for any machine learning task. Automatic Music Transcription (AMT) is one such task, where considerable amount of data is required depending on the way the solution is achieved. Considering the fact that a music…

Audio and Speech Processing · Electrical Eng. & Systems 2024-08-28 S. Johanan Joysingh , P. Vijayalakshmi , T. Nagarajan

A hidden Markov model (HMM) scheme for tracking continuous-wave gravitational radiation from neutron stars in low-mass X-ray binaries (LMXBs) with wandering spin is extended by introducing a frequency-domain matched filter, called the…

Instrumentation and Methods for Astrophysics · Physics 2017-11-29 S. Suvorova , P. Clearwater , A. Melatos , L. Sun , W. Moran , R. J. Evans

We propose DenseHMM - a modification of Hidden Markov Models (HMMs) that allows to learn dense representations of both the hidden states and the observables. Compared to the standard HMM, transition probabilities are not atomic but composed…

Machine Learning · Computer Science 2020-12-18 Joachim Sicking , Maximilian Pintz , Maram Akila , Tim Wirtz

We show how models for prediction with expert advice can be defined concisely and clearly using hidden Markov models (HMMs); standard HMM algorithms can then be used to efficiently calculate, among other things, how the expert predictions…

Machine Learning · Computer Science 2008-02-15 Wouter Koolen , Steven de Rooij

Hidden Markov Chains (HMCs) are commonly used mathematical models of probabilistic systems. They are employed in various fields such as speech recognition, signal processing, and biological sequence analysis. We consider the problem of…

Data Structures and Algorithms · Computer Science 2016-05-10 Stefan Kiefer , A. Prasad Sistla

We derive a robust update rule for the online infinite hidden Markov model (iHMM) for when the streaming data contains outliers and the model is misspecified. Leveraging recent advances in generalised Bayesian inference, we define…

Machine Learning · Statistics 2026-05-13 Horace Yiu , Leandro Sánchez-Betancourt , Álvaro Cartea , Gerardo Duran-Martin

We propose a framework for semi-automated annotation of video frames where the video is of an object that at any point in time can be labeled as being in one of a finite number of discrete states. A Hidden Markov Model (HMM) is used to…

Computer Vision and Pattern Recognition · Computer Science 2016-12-06 Lex Fridman , Bryan Reimer

We present a Bayesian approach to adapting parameters of a well-trained context-dependent, deep-neural-network, hidden Markov model (CD-DNN-HMM) to improve automatic speech recognition performance. Given an abundance of DNN parameters but…

Machine Learning · Computer Science 2015-08-13 Zhen Huang , Sabato Marco Siniscalchi , I-Fan Chen , Jiadong Wu , Chin-Hui Lee

Industrial processes generate a massive amount of monitoring data that can be exploited to uncover hidden time losses in the system. This can be used to enhance the accuracy of maintenance policies and increase the effectiveness of the…

Applications · Statistics 2025-08-27 Fernando Miguelez , Josu Doncel , Maria Dolores Ugarte

Hidden Markov models (HMMs) are flexible time series models in which the distributions of the observations depend on unobserved serially correlated states. The state-dependent distributions in HMMs are usually taken from some class of…

Methodology · Statistics 2014-06-19 Roland Langrock , Thomas Kneib , Alexander Sohn , Stacy DeRuiter

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

Hidden Markov models (HMMs) are ubiquitous in time-series modelling, with applications ranging from chemical reaction modelling to speech recognition. These HMMs are often large, with high-dimensional memories. A recently-proposed…

Quantum Physics · Physics 2026-01-23 Rishi Sundar , Thomas Elliott

The objective is to study an on-line Hidden Markov model (HMM) estimation-based Q-learning algorithm for partially observable Markov decision process (POMDP) on finite state and action sets. When the full state observation is available,…

Machine Learning · Computer Science 2018-09-25 Hyung-Jin Yoon , Donghwan Lee , Naira Hovakimyan

Hidden Markov models (HMMs) are commonly used for disease progression modeling when the true patient health state is not fully known. Since HMMs typically have multiple local optima, incorporating additional patient covariates can improve…

Machine Learning · Statistics 2021-10-05 Matt Baucum , Anahita Khojandi , Theodore Papamarkou

The partially observable hidden Markov model is an extension of the hidden Markov Model in which the hidden state is conditioned on an independent Markov chain. This structure is motivated by the presence of discrete metadata, such as an…

Information Theory · Computer Science 2017-11-21 John V. Monaco , Charles C. Tappert

This paper presents a new and flexible prognostics framework based on a higher order hidden semi-Markov model (HOHSMM) for systems or components with unobservable health states and complex transition dynamics. The HOHSMM extends the basic…

Applications · Statistics 2020-02-14 Ying Liao , Yisha Xiang , Min Wang

Over the last decade, hidden Markov models (HMMs) have become increasingly popular in statistical ecology, where they constitute natural tools for studying animal behavior based on complex sensor data. Corresponding analyses sometimes…

Methodology · Statistics 2025-10-15 Jan-Ole Koslik , Carlina C. Feldmann , Sina Mews , Rouven Michels , Roland Langrock

Hidden Markov models (HMMs) and partially observable Markov decision processes (POMDPs) form a useful tool for modeling dynamical systems. They are particularly useful for representing environments such as road networks and office…

Artificial Intelligence · Computer Science 2013-01-30 Hagit Shatkay

We consider penalized estimation in hidden Markov models (HMMs) with multivariate Normal observations. In the moderate-to-large dimensional setting, estimation for HMMs remains challenging in practice, due to several concerns arising from…

Methodology · Statistics 2014-01-09 Nicolas Städler , Sach Mukherjee