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Joint modeling of longitudinal and survival data has become increasingly important in medical research, particularly for understanding disease progression in chronic conditions where both repeated biomarker measurements and time-to-event…

Methodology · Statistics 2025-12-30 Nithisha Suryadevara , Vivek Reddy Srigiri

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

Longitudinal imaging is able to capture both static anatomical structures and dynamic changes in disease progression towards earlier and better patient-specific pathology management. However, conventional approaches for detecting diabetic…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Rachid Zeghlache , Pierre-Henri Conze , Mostafa El Habib Daho , Ramin Tadayoni , Pascal Massin , Béatrice Cochener , Gwenolé Quellec , Mathieu Lamard

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

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

Sequential data modeling and analysis have become indispensable tools for analyzing sequential data, such as time-series data, because larger amounts of sensed event data have become available. These methods capture the sequential structure…

Artificial Intelligence · Computer Science 2019-02-15 Hiromi Narimatsu , Hiroyuki Kasai

Biomarker measurements obtained by blood sampling are often used as a non-invasive means of monitoring tumour progression in cancer patients. Diseases evolve dynamically over time, and studying longitudinal observations of specific…

Applications · Statistics 2025-03-14 Alice Cleynen , Benoîte de Saporta , Amélie Vernay

Hidden Markov models (HMMs) have been used increasingly to understand how movement patterns of animals arise from behavioural states. An animal is assumed to transition between behavioural states through time, as described by transition…

Quantitative Methods · Quantitative Biology 2025-10-07 Théo Michelot , Emma Storey

We present a new algorithm for identifying the transition and emission probabilities of a hidden Markov model (HMM) from the emitted data. Expectation-maximization becomes computationally prohibitive for long observation records, which are…

Computation and Language · Computer Science 2018-06-20 Kejun Huang , Xiao Fu , Nicholas D. Sidiropoulos

Multimorbidity in older adults is common, heterogeneous, and highly dynamic, and it is strongly associated with disability and increased healthcare utilization. However, existing approaches to studying multimorbidity trajectories are…

We explore Markov-modulated marked Poisson processes (MMMPPs) as a natural framework for modelling patients' disease dynamics over time based on medical claims data. In claims data, observations do not only occur at random points in time…

Applications · Statistics 2023-11-16 Sina Mews , Bastian Surmann , Lena Hasemann , Svenja Elkenkamp

Hidden Markov models (HMMs) offer a robust and efficient framework for analyzing time series data, modelling both the underlying latent state progression over time and the observation process, conditional on the latent state. However, a…

Applications · Statistics 2024-07-19 Ioannis Rotous , Alex Diana , Alessio Farcomeni , Eleni Matechou , Andréa Thiebault

Due to physiological variation, patients diagnosed with the same condition may exhibit divergent, but related, responses to the same treatments. Hidden Parameter Markov Decision Processes (HiP-MDPs) tackle this transfer-learning problem by…

Machine Learning · Statistics 2016-12-05 Taylor Killian , George Konidaris , Finale Doshi-Velez

The rising prevalence of type 2 diabetes mellitus (T2DM) necessitates the development of predictive models for T2DM risk assessment. Artificial intelligence (AI) models are being extensively used for this purpose, but a comprehensive review…

Machine Learning · Computer Science 2023-05-29 Farida Mohsen , Hamada R. H. Al-Absi , Noha A. Yousri , Nady El Hajj , Zubair Shah

Hidden Markov models (HMMs) are one of the most widely used statistical methods for analyzing sequence data. However, the reporting of output from HMMs has largely been restricted to the presentation of the most-probable (MAP) hidden state…

Methodology · Statistics 2015-05-01 Michalis K. Titsias , Christopher Yau , Christopher C. Holmes

Characterizing the sleep-wake cycle in adolescents is an important prerequisite to better understand the association of abnormal sleep patterns with subsequent clinical and behavioral outcomes. The aim of this research was to develop hidden…

Applications · Statistics 2022-12-22 Semhar B. Ogbagaber , Yifan Cui , Kaigang Li , Ronald J. Iannotti , Paul S. Albert

Human motion plays an important role in many fields. Large databases exist that store and make available recordings of human motions. However, annotating each motion with multiple labels is a cumbersome and error-prone process. This…

Machine Learning · Computer Science 2016-05-06 Matthias Plappert

In routine care, individuals identified a priori as high-risk are usually tested for conditions more frequently. Protected attributes, such as sex or ethnicity may also determine testing frequency. Such heterogeneous detection rates across…

Applications · Statistics 2026-05-08 Jose Benitez-Aurioles , Ricardo Silva , Brian McMillan , Matthew Sperrin

Type 1 diabetes (T1D) management can be significantly enhanced through the use of predictive machine learning (ML) algorithms, which can mitigate the risk of adverse events like hypoglycemia. Hypoglycemia, characterized by blood glucose…

Quantitative Methods · Quantitative Biology 2025-04-02 Beyza Cinar , Jennifer Daniel Onwuchekwa , Maria Maleshkova

Experiments, in particular on biological systems, typically probe lower-dimensional observables which are projections of high-dimensional dynamics. In order to infer consistent models capturing the relevant dynamics of the system, it is…

Statistical Mechanics · Physics 2025-11-18 Xizhu Zhao , Dmitrii E. Makarov , Aljaž Godec