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24-hour actigraphy data collected by wearable devices offer valuable insights into physical activity types, intensity levels, and rest-activity rhythms (RAR). RARs, or patterns of rest and activity exhibited over a 24-hour period, are…

Methodology · Statistics 2023-07-11 Jiachen Lu , Qian Xiao , Cici Bauer

Hidden Quantum Markov Models (HQMMs) can be thought of as quantum probabilistic graphical models that can model sequential data. We extend previous work on HQMMs with three contributions: (1) we show how classical hidden Markov models…

Machine Learning · Statistics 2017-10-26 Siddarth Srinivasan , Geoff Gordon , Byron Boots

Discrete-time hidden Markov models (HMMs) have become an immensely popular tool for inferring latent animal behaviors from telemetry data. Here we introduce an open-source R package, momentuHMM, that addresses many of the deficiencies in…

Quantitative Methods · Quantitative Biology 2018-06-13 Brett T. McClintock , Theo Michelot

Discrete-time hidden Markov models are a broadly useful class of latent-variable models with applications in areas such as speech recognition, bioinformatics, and climate data analysis. It is common in practice to introduce temporal…

Applications · Statistics 2017-01-16 Tracy Holsclaw , Arthur M. Greene , Andrew W. Robertson , Padhraic Smyth

The COVID-19 pandemic has been characterised by multiple waves of transmission driven by interventions and emerging variants, challenging epidemic models that assume gradually evolving transmission dynamics. We propose a class of…

Applications · Statistics 2026-05-05 Patrick Aschermayr , Konstantinos Kalogeropoulos , Nikolaos Demiris

The main focus of this work is on developing models for the activity profile of a terrorist group, detecting sudden spurts and downfalls in this profile, and, in general, tracking it over a period of time. Toward this goal, a $d$-state…

Applications · Statistics 2014-01-16 Vasanthan Raghavan , Aram Galstyan , Alexander G. Tartakovsky

This paper proposes a new estimation algorithm for the parameters of an HMM as to best account for the observed data. In this model, in addition to the observation sequence, we have \emph{partial} and \emph{noisy} access to the hidden state…

Machine Learning · Computer Science 2012-03-22 Huseyin Ozkan , Arda Akman , Suleyman S. Kozat

Wearable devices such as smartwatches are becoming increasingly popular tools for objectively monitoring physical activity in free-living conditions. To date, research has primarily focused on the purely supervised task of human activity…

Signal Processing · Electrical Eng. & Systems 2021-05-26 Dimitris Spathis , Ignacio Perez-Pozuelo , Soren Brage , Nicholas J. Wareham , Cecilia Mascolo

Pulsar timing experiments typically generate a phase-connected timing solution from a sequence of times-of-arrival (TOAs) by absolute pulse numbering, i.e. by fitting an integer number of pulses between TOAs in order to minimize the…

High Energy Astrophysical Phenomena · Physics 2020-06-24 A. Melatos , L. M. Dunn , S. Suvorova , W. Moran , R. J. Evans

$\textbf{Objective}$: To develop a multi-channel device event segmentation and feature extraction algorithm that is robust to changes in data distribution. $\textbf{Methods}$: We introduce an adaptive transfer learning algorithm to classify…

Signal Processing · Electrical Eng. & Systems 2020-11-24 Xichen She , Yaya Zhai , Ricardo Henao , Christopher W. Woods , Christopher Chiu , Geoffrey S. Ginsburg , Peter X. K. Song , Alfred O. Hero

We study the problem of modeling human mobility from semantic trace data, wherein each GPS record in a trace is associated with a text message that describes the user's activity. Existing methods fall short in unveiling human movement…

Machine Learning · Computer Science 2020-10-06 Wanzheng Zhu , Chao Zhang , Shuochao Yao , Xiaobin Gao , Jiawei Han

We use autoregressive hidden Markov models and a time-frequency approach to create meaningful quantitative descriptions of behavioral characteristics of cerebellar ataxias from wearable inertial sensor data gathered during movement.…

Neurons and Cognition · Quantitative Biology 2021-08-23 Karin C. Knudson , Anoopum S. Gupta

In this article we suggest a new statistical approach considering survival heterogeneity as a breakpoint model in an ordered sequence of time to event variables. The survival responses need to be ordered according to a numerical covariate.…

Applications · Statistics 2016-09-26 Olivier Bouaziz , Grégory Nuel

Recurrent State-space models (RSSMs) are highly expressive models for learning patterns in time series data and system identification. However, these models assume that the dynamics are fixed and unchanging, which is rarely the case in…

Machine Learning · Computer Science 2023-10-16 Vaisakh Shaj , Dieter Buchler , Rohit Sonker , Philipp Becker , Gerhard Neumann

We address the problem of detecting an anomalous process among a large number of processes. At each time t, normal processes are in state zero (normal state), while the abnormal process may be in either state zero (normal state) or state…

Signal Processing · Electrical Eng. & Systems 2025-06-23 Levli Citron , Kobi Cohen , Qing Zhao

Sensors on mobile devices---accelerometers, gyroscopes, pressure meters, and GPS---invite new applications in gesture recognition, gaming, and fitness tracking. However, programming them remains challenging because human gestures captured…

Computer Vision and Pattern Recognition · Computer Science 2017-10-27 Diman Zad Tootaghaj , Adrian Sampson , Todd Mytkowicz , Kathryn S McKinley

We address the problem of modeling constrained hospital resources in the midst of the COVID-19 pandemic in order to inform decision-makers of future demand and assess the societal value of possible interventions. For broad applicability, we…

We consider probabilistic systems with hidden state and unobservable transitions, an extension of Hidden Markov Models (HMMs) that in particular admits unobservable {\epsilon}-transitions (also called null transitions), allowing state…

Machine Learning · Computer Science 2022-05-30 Rebecca Bernemann , Barbara König , Matthias Schaffeld , Torben Weis

State space models have long played an important role in signal processing. The Gaussian case can be treated algorithmically using the famous Kalman filter. Similarly since the 1970s there has been extensive application of Hidden Markov…

Statistics Theory · Mathematics 2007-06-13 Peter Bickel , Yaacov Ritov , Tobias Rydén

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
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