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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…

统计方法学 · 统计学 2014-01-09 Nicolas Städler , Sach Mukherjee

Hidden Markov models (HMMs) are probabilistic methods in which observations are seen as realizations of a latent Markov process with discrete states that switch over time. Moving beyond standard statistical tests, HMMs offer a statistical…

统计方法学 · 统计学 2024-03-20 S. Mildiner Moraga , E. Aarts

1. Hidden Markov models (HMMs) are powerful tools for modelling time-series data with underlying state structure. However, selecting appropriate parametric forms for the state-dependent distributions is often challenging and can lead to…

This work proposes a multi-agent filtering algorithm over graphs for finite-state hidden Markov models (HMMs), which can be used for sequential state estimation or for tracking opinion formation over dynamic social networks. We show that…

信号处理 · 电气工程与系统科学 2022-03-10 Mert Kayaalp , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

Understanding disease dynamics is crucial for managing wildlife populations and assessing spillover risk to domestic animals and humans, but infection data on free-ranging animals are difficult to obtain. Because pathogen and parasite…

定量方法 · 定量生物学 2025-09-26 Dongmin Kim , Théo Michelot , Katherine Mertes , Jared A. Stabach , John Fieberg

Hidden Markov models (HMMs) are widely applied in studies where a discrete-valued process of interest is observed indirectly. They have for example been used to model behaviour from human and animal tracking data, disease status from…

统计方法学 · 统计学 2025-05-22 Théo Michelot

The hidden Markov model (HMM) is a fundamental tool for sequence modeling that cleanly separates the hidden state from the emission structure. However, this separation makes it difficult to fit HMMs to large datasets in modern NLP, and they…

计算与语言 · 计算机科学 2020-11-10 Justin T. Chiu , Alexander M. Rush

The Hidden Markov Model (HMM) is one of the most widely used statistical models for sequential data analysis. One of the key reasons for this versatility is the ability of HMM to deal with missing data. However, standard HMM learning…

机器学习 · 统计学 2023-07-04 Binyamin Perets , Mark Kozdoba , Shie Mannor

We propose a copula-based extension of the hidden Markov model (HMM) which applies when the observations recorded at each time in the sample are multivariate. The joint model produced by the copula extension allows decoding of the hidden…

统计方法学 · 统计学 2024-05-13 Robert Zimmerman , Radu V. Craiu , Vianey Leos-Barajas

Regime-switching models, in particular Hidden Markov Models (HMMs) where the switching is driven by an unobservable Markov chain, are widely-used in financial applications, due to their tractability and good econometric properties. In this…

统计金融 · 定量金融 2016-02-18 Vikram Krishnamurthy , Elisabeth Leoff , Jörn Sass

The hidden Markov model (HMM) provides a powerful framework for inference in time-varying environments, where the underlying state evolves according to a Markov chain. To address the optimal filtering problem in general dynamic settings, we…

系统与控制 · 电气工程与系统科学 2025-06-10 Dongyan Sui , Haotian Pu , Siyang Leng , Stefan Vlaski

The parameters of a discrete stationary Markov model are transition probabilities between states. Traditionally, data consist in sequences of observed states for a given number of individuals over the whole observation period. In such a…

统计计算 · 统计学 2012-04-30 Alberto Pasanisi , Shuai Fu , Nicolas Bousquet

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…

机器学习 · 统计学 2017-10-26 Siddarth Srinivasan , Geoff Gordon , Byron Boots

Use of accelerometers is now widespread within animal biotelemetry as they provide a means of measuring an animal's activity in a meaningful and quantitative way where direct observation is not possible. In sequential acceleration data…

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…

应用统计 · 统计学 2024-07-19 Ioannis Rotous , Alex Diana , Alessio Farcomeni , Eleni Matechou , Andréa Thiebault

Hidden Markov models (HMMs) are popular time series model in many fields including ecology, economics and genetics. HMMs can be defined over discrete or continuous time, though here we only cover the former. In the field of movement ecology…

定量方法 · 定量生物学 2018-06-29 Vianey Leos-Barajas , Théo Michelot

We introduce multiple hidden Markov models (MHMMs) where an observed multivariate categorical time series depends on an unobservable multivariate Mar- kov chain. MHMMs provide an elegant framework for specifying various independence…

统计方法学 · 统计学 2013-09-17 Roberto Colombi , Sabrina Giordano

Hidden Markov models (HMMs) are a versatile statistical framework commonly used in ecology to characterize behavioural patterns from animal movement data. In HMMs, the observed data depend on a finite number of underlying hidden states,…

统计方法学 · 统计学 2024-12-24 Fanny Dupont , Marianne Marcoux , Nigel Hussey , Marie Auger-Méthé

Ecological systems can often be characterised by changes among a finite set of underlying states pertaining to individuals, populations, communities, or entire ecosystems through time. Owing to the inherent difficulty of empirical field…

Hidden Markov Models, HMM's, are mathematical models of Markov processes with state that is hidden, but from which information can leak. They are typically represented as 3-way joint-probability distributions. We use HMM's as denotations of…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Annabelle McIver , Carroll Morgan , Tahiry Rabehaja