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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

Likelihood-free inference methods based on neural conditional density estimation were shown to drastically reduce the simulation burden in comparison to classical methods such as ABC. When applied in the context of any latent variable…

Machine Learning · Statistics 2024-05-06 Sanmitra Ghosh , Paul J. Birrell , Daniela De Angelis

In this paper, we consider statistical estimation of time-inhomogeneous aggregate Markov models. Unaggregated models, which corresponds to Markov chains, are commonly used in multi-state life insurance to model the biometric states of an…

Statistics Theory · Mathematics 2023-08-11 Jamaal Ahmad , Mogens Bladt

In a real life process evolving over time, the relationship between its relevant variables may change. Therefore, it is advantageous to have different inference models for each state of the process. Asymmetric hidden Markov models fulfil…

Machine Learning · Computer Science 2023-05-16 Carlos Puerto-Santana , Pedro Larrañaga , Concha Bielza

We study the frontier between learnable and unlearnable hidden Markov models (HMMs). HMMs are flexible tools for clustering dependent data coming from unknown populations. The model parameters are known to be fully identifiable (up to…

Machine Learning · Statistics 2022-10-25 Kweku Abraham , Zacharie Naulet , Elisabeth Gassiat

Estimation of Markov Random Field and covariance models from high-dimensional data represents a canonical problem that has received a lot of attention in the literature. A key assumption, widely employed, is that of {\em sparsity} of the…

Optimization and Control · Mathematics 2018-05-16 Davoud Ataee Tarzanagh , George Michailidis

In this paper, we propose a novel method for visual object tracking called HMMTxD. The method fuses observations from complementary out-of-the box trackers and a detector by utilizing a hidden Markov model whose latent states correspond to…

Computer Vision and Pattern Recognition · Computer Science 2016-03-07 Tomas Vojir , Jiri Matas , Jana Noskova

In a variety of online settings involving interaction with end-users it is critical for the systems to adapt to changes in user preferences. User preferences on items tend to change over time due to a variety of factors such as change in…

Information Retrieval · Computer Science 2019-05-17 Farzad Eskandanian , Bamshad Mobasher

Dropout represents a typical issue to be addressed when dealing with longitudinal studies. If the mechanism leading to missing information is non-ignorable, inference based on the observed data only may be severely biased. A frequent…

Methodology · Statistics 2018-03-23 Maria Francesca Marino , Marco Alfo'

In the last few decades, the study of ordinal data in which the variable of interest is not exactly observed but only known to be in a specific ordinal category has become important. In Psychometrics such variables are analysed under the…

Econometrics · Economics 2025-01-22 Bernard M. S. van Praag , J. Peter Hop , William H. Greene

We present a lightweight approach to sequence classification using Ensemble Methods for Hidden Markov Models (HMMs). HMMs offer significant advantages in scenarios with imbalanced or smaller datasets due to their simplicity,…

Machine Learning · Computer Science 2024-09-13 Maxime Kawawa-Beaudan , Srijan Sood , Soham Palande , Ganapathy Mani , Tucker Balch , Manuela Veloso

The hidden Markov model (HMM) is a classic modeling tool with a wide swath of applications. Its inception considered observations restricted to a finite alphabet, but it was quickly extended to multivariate continuous distributions. In this…

Methodology · Statistics 2022-05-30 Adam B Kashlak , Prachi Loliencar , Giseon Heo

Learning parameters from voluminous data can be prohibitive in terms of memory and computational requirements. We propose a "compressive learning" framework where we estimate model parameters from a sketch of the training data. This sketch…

Machine Learning · Computer Science 2017-05-08 Nicolas Keriven , Anthony Bourrier , Rémi Gribonval , Patrick Pérez

In this paper, we consider the filtering and smoothing recursions in nonparametric finite state space hidden Markov models (HMMs) when the parameters of the model are unknown and replaced by estimators. We provide an explicit and time…

Statistics Theory · Mathematics 2015-07-24 Yohann De Castro , Elisabeth Gassiat , Sylvain Le Corff

We develop a predictive-first optimisation framework for streaming hidden Markov models. Unlike classical approaches that prioritise full posterior recovery under a fully specified generative model, we assume access to regime-specific…

Machine Learning · Statistics 2026-04-13 Gerardo Duran-Martin

In this work we propose a Bayesian framework for data fusion of multivariate signals which arises in imaging systems. More specifically, we consider the case where we have observed two images of the same object through two different imaging…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Olivier Feron , Ali Mohammad-Djafari

Recommender systems are widely used for suggesting books, education materials, and products to users by exploring their behaviors. In reality, users' preferences often change over time, leading to studies on time-dependent recommender…

Information Retrieval · Computer Science 2024-12-17 Haidong Zhang , Wancheng Ni , Xin Li , Yiping Yang

Traditional methods for unsupervised learning of finite mixture models require to evaluate the likelihood of all components of the mixture. This becomes computationally prohibitive when the number of components is large, as it is, for…

Machine Learning · Computer Science 2021-10-12 Milan Papež , Tomáš Pevný , Václav Šmídl

A regularized vector autoregressive hidden semi-Markov model is developed to analyze multivariate financial time series with switching data generating regimes. Furthermore, an augmented EM algorithm is proposed for parameter estimation by…

Applications · Statistics 2021-05-19 Zekun Xu , Ye Liu

We present a model-based approach to learning robust runtime monitors for autonomous systems. Runtime monitors play a crucial role in raising the level of assurance by observing system behavior and predicting potential safety violations. In…

Logic in Computer Science · Computer Science 2026-02-17 Antonina Skurka , Luko van der Maas , Sebastian Junges , Hazem Torfah